![The Circle and Straight Line [microform]](https://cdn.kingstone.com.tw/english/images/product/5092/9781014605092m.webp "The Circle and Straight Line [microform]")
![Hints and Answers to Examination Papers in Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/2001/9781014742001m.webp "Hints and Answers to Examination Papers in Arithmetic [microform]")
Functional and Harmonic Analysis
This book provides a comprehensive exploration of weighted function spaces, a fundamental topic in modern analysis. Beginning with the basics of weighted Lebesgue spaces, it systematically develops key properties such as duality, convexity, and interpolation. It delves into Muckenhoupt weights, Hardy and Carlson inequalities, and Calder籀n-Zygmund decompositions, highlighting their applications in harmonic analysis. With a structured and didactic approach, this work serves as an essential reference for researchers and graduate students in mathematical analysis, functional spaces, and related areas.
Analysis with Mathematica(r)
A computer algebra system such as Mathematica(R) is able to do much more than just numerics: This revised text shows how to tackle real mathematical problems from basic analysis. The reader learns how Mathematica(R) represents domains, qualifiers and limits to implement actual proofs - a requirement to unlock the huge potential of Mathematica(R) for a variety of applications.
Lectures on Elementary Number Theory
Based on a series of lectures at Haverford College, Hans Rademacher presents an accessible introduction to number theory. Requiring no prior knowledge of the subject, the text covers foundational theorems like prime factorization and quadratic reciprocity, detailed cyclotomy, and Gaussian sums. It addresses analytic number theory through asymptotic laws, Dirichlet's theorem on primes in an arithmetical progression, and V. Brun's twin prime theorem. Rademacher's unique approach integrates analytical methods with arithmetic results, offering both exact identities and asymptotic insights. Lectures on Elementary Number Theory is a classic work that remains influential, bridging foundational theory with modern analytical advances.
The Great Math War
A stirring account of the mathematicians who went looking for the bedrock philosophical foundations of their field and witnessed a house of cards collapse instead "A fascinating romp through one of the most consequential conflicts of the early 20th century."--Johnjoe McFadden, author of Life on the Edge As the nineteenth century ended, mathematicians were celebrating a century of triumphs that--surprisingly--made clear how little they knew: What is the nature of infinity? Is math free from self-contradiction? And what does math have to do with reality? This was the Foundational Crisis in mathematics. In The Great Math War, Jason Socrates Bardi tells the story of three competing efforts by mathematicians to resolve it--and the firefight that ensued. Bertrand Russell thought we could achieve certainty if we treated math as an extension of logic. David Hilbert believed redemption lay in accepting mathematics as a formal game of arbitrary rules, no different from the moves and pieces in chess. And L. E. J. Brouwer argued math is entirely rooted in human intuition--and that math is not based on logic but rather logic is based on math. It was a bitter struggle, intellectually and personally, as the three vied to set the course for mathematics in the twentieth century. Set against the backdrop of international warfare unfolding alongside it, The Great Math War brings the Foundational Crisis to radiant life--and shows how it indelibly shaped twentieth-century intellectual life.
The Indisputable Existence of Santa Claus
In The Indisputable Existence of Santa Claus, two distinguished mathematicians explain, with humor and clarity, mathematical concepts through one very merry motif: Christmas. Lighthearted and diverting with Christmasy diagrams, sketches and graphs, equations, Markov chains, and matrices, The Indisputable Existence of Santa Claus brightens up the bleak midwinter with stockingsful of mathematical marvels. How do you apply game theory to select who should be on your Christmas shopping list? What equations should you use to decorate the Christmas tree? Will calculations show Santa is getting steadily thinner--shimmying up and down chimneys for a whole night--or fatter--as he munches on cookies and milk in billions of houses across the world? In their quest to provide mathematical proof for the existence of Santa, the authors take readers on a festive journey through a traditional holiday season. Every activity, from wrapping presents to playing board games to cooking the perfect turkey, is analyzed through the lens of math. Because who hasn't always wondered how to set up a mathematically perfect Secret Santa? This book belongs under your Christmas tree if you enjoy a spice of math in your eggnog.
Groups Of The Order P^M Which Contain Cyclic Subgroups Of Order P^(M-3)
A hidden cornerstone of algebra returns rediscovered, restored, and reborn by Alpha Editions. Groups Of The Order P^M Which Contain Cyclic Subgroups Of Order P^(M-3) is a rigorous, illuminating classic in mathematical group theory that probes the fine architecture of p-groups and their internal symmetries. This compact yet deep work guides readers through a precise analysis of order P^M groups, centering on P^(M-3) subgroup analysis and the role of cyclic subgroups in shaping algebraic structures. With clear proofs, carefully classified cases, and thoughtful exploration of cyclic group properties, Neikirk s group theory investigation advances subgroup classification and group order analysis in ways that still inform contemporary research. Scholars will find exacting results and techniques; curious learners will discover the logic and beauty behind abstract algebra. Historically significant and long out of print, this edition has been restored for today s and future generations. Alpha Editions presents more than a reprint this is a collector s item and a cultural treasure, prepared for mathematicians, libraries, and lovers of classic mathematical research alike. Whether you re assembling a reference shelf or seeking clarity on advanced mathematics, this volume offers enduring insight into algebraic structures and the foundations of subgroup theory. Rediscover Neikirk s contributions to mathematical group theory a must-have for anyone passionate about cyclic subgroups, subgroup classification, and the anatomy of p-groups.
A Textbook of Partial Differential Equation
Partial differential equations provide a generic description of the majority of physical events, whether they are related to heat flow, fluid dynamics, electricity, magnetism, mechanics, or optics. Such equations are, in fact, essential to mathematical physics. Even if these equations can be simplified to become ordinary differential equations, the full description of physical systems can be found in the general field of partial differential equations. This extremely helpful literature demonstrates to the reader how to create a mathematical model of the physical problem, how to generate a partial differential equation from it, and how to solve the equation (along with initial and boundary conditions).This succinct guide is devoted to assisting engineering students in solving problems in their profession that include partial differential equations and only requires a basic understanding of ordinary differential equations. Questions of existence, uniqueness, and convergence are not emphasised; instead, the treatment concentrates solely on the useful solution of partial differential equations. The more prevalent partial differential equations related to phenomena, including vibration, heat transport, electricity, and elasticity, are derived.For more details, please visit https: //centralwestpublishing.com
Multiple Integrals in Calculus
The book consists of eight chapters, each focusing on different aspects of multiple integrals and related topics in mathematical analysis.In Chapter 1, multiple integrals are defined and developed. The Jordan measure in n-dimensional unit balls is introduced, along with the definition and criteria for multiple integrals, as well as their properties. Chapter 2 delves into advanced techniques for computing multiple integrals. It introduces the Taylor formula, discusses linear maps on measurable sets, and explores the metric properties of differentiable maps. In Chapter 3, we focus on improper multiple integrals and their properties. The chapter deduces criteria for the integrability of functions of several variables and develops concepts such as improper integrals of nonnegative functions, comparison criteria, and absolute convergence. Chapter 4 investigates the Stieltjes integral and its properties. Topics covered include the differentiation of monotone functions of finite variation and the Helly principle of choice, as well as continuous functions of finite variation. Chapter 5 addresses curvilinear integrals, defining line integrals of both the first and second kinds. It also discusses the independence of line integrals from the path of integration. In Chapter 6, surface integrals of the first and second kinds are introduced. The chapter presents the Gauss-Ostrogradsky theorem and Stokes' formulas, along with advanced practical problems to practice these concepts.
Foundations of Numerical Methods and Data Analysis
This book offers a comprehensive journey into the world of numerical methods, beginning with the essential mathematical preliminaries: calculus, vectors, matrices, and programming concepts before moving into deeper areas such as error analysis, curve fitting, interpolation, and the numerical solution of ordinary and partial differential equations. Advanced chapters extend into systems of equations, finite element methods, and spectral techniques, ensuring that readers not only understand the fundamentals but also gain exposure to methods at the frontier of computational practice. A distinguishing feature of the book is the integration of theory with practice. Each concept is accompanied by carefully chosen examples, figures, and end- of-chapter exercises designed to strengthen understanding and encourage hands-on application. Historical notes and bibliographical references enrich the discussion, situating modern numerical methods in their broader intellectual context. In addition, the book pays special attention to the use of contemporary computational tools such as MATLAB, Python, and other numerical libraries, thereby bridging traditional methods with current software-driven practice. In short, it is both a textbook and a reference, meant to serve readers across different stages of their academic or professional journey. For more details, please visit https: //centralwestpublishing.com
Advanced Analytical and Numerical Methods with their Application to Industrial Problems
This book covers the models of different real-world problems that include the models using ordinary and partial differential equations and dynamical systems, uncertainty quantifications using fuzzy systems, computational methods for differential equations, modern control theory and applications, neural networks and neural computing, computational heat and mass transfer and computational fluid dynamics. It also includes various research problems on developing advanced analytical and numerical methods for solving real-world situations, with its theoretical derivations and engineering and science applications. For more details, please visit https: //centralwestpublishing.com
Evidence for Dark Numbers
This book contains several arguments for the existence of dark numbers, i.e., numbers which cannot be manipulated as individuals but only collectively. Their existence depends on the premise of actual infinity. Whether actually infinite sets exist is unknown and cannot be proven; it can only be assumed as an axiom. But if actually infinite sets exist then dark elements are unavoidable. This concept helps to explain many paradoxes of set theory like Zeno's paradox or the paradox of the binary tree or the completely scattered space of the real axis.
The Hidden Poetry & Music of Mathematics for Teaching Professionals
When poetry and music are interlinked with mathematics to provide phenomenal strategies to teaching mathematics. This would invite a plethora of thinking beyond classical frames to exceptional intelligent practice for teaching mathematics, including thinking outside classical frames to innovatively and creatively teach mathematics. This book is an open invite to all teaching professionals of mathematics.
Compound Poisson Distributions
This book presents a comprehensive overview of compound Poisson distributions. All of the distributions listed in this book were derived, or invented, by the original authors as ""new"" statistical distributions, to fit a dataset(s) of experimental data. The properties of each newly proposed distribution were derived ab initio, sometimes with much effort by the original authors. Hence the title and motivation for this book: the primary focus here is the compound Poisson distributions themselves. We show that they are all exemplars of a common underlying formalism. General formulas (this includes both exact results and recurrences) are presented which apply to all compound Poisson distributions. In individual chapters, we apply that underlying formalism to selected compound Poisson distributions. We also derive new formulas not published in the literature. Having said the above, this book also presents a new technique for parameter estimation for a set of widely used compound Poisson distributions. The new technique is applied to several published experimental datasets, i.e. real data, not simulations. It yields equal or better fits to the data than those obtained by the original authors (in some cases, significantly better). Numerous graphs are plotted, to demonstrate the good/better fits obtained by the new technique. Hence this book contains not only pure theory, but also visually demonstrates the merits of the new formalism for fitting experimental data.
Wonderlic Math Workbook
Complete math workbook, prepared by exam experts, with over 200 questions. You have arrived!Here is everything you need to pass the WONDERLIC(R)! We have helped thousands of students and we can help you!WONDERLIC(R) Basic Skills Math Practice Questions and Tutorials for: Fractions, Decimals and PercentWord ProblemsBasic AlgebraBasic GeometryWonderlic is a registered trademark of WONDERLIC, INC CORPORATION, who are not involved in the pro-duction of, and do not endorse this product. You also receive: - Math Multiple-Choice Strategy - How to Study for a Math Test - How to make a WONDERLIC(R) study plan - How to Take a TestHere is what the WONDERLIC(R) Math Workbook can do for you: - Learn then practice your math skills! Practice test questions are the best way to prepare for an exam and this is the book that you need to fully prepare for the WONDERLIC(R) - Practice tests are a critical self-assessment tool that reveals your strengths and weaknesses.- Practice reduces test anxiety, one of the main reasons for low marks on an exam. - Learn powerful multiple-choice strategies designed by exam experts! Includes tips and multiple-choice strategies to increase your score you won't find anywhere else!You can get a Great Score with the Least Amount of Studying! Study Smarter, Not Harder!You receive the benefit of our dedicated team of exam experts. All the material in the math workbook, including every practice question, are designed increase your score on the WONDERLIC(R) exam with the least amount of studying. Heard it all before? Maybe you have read this kind of thing before, and maybe feel you don't need it, and you are not sure if you are going to buy this book. Remember though, it only a few percentage points divide the PASS from the FAIL students. Even if our test tips increase your score by a few percentage points, isn't that worth it?I will be honest - it will require real effort and dedication, but if you are willing to focus your energy and devote the study time necessary, (don't worry - we help every step of the way) then before you know it you will be opening that letter of acceptance to the school or the job of your dreams. Do everything to get the best score on the WONDERLIC(R)!
Complex Function Theory
The text book gives a clear and concise analysis of the fundamentals of complex function theory. It presents various illustrative and motivating examples to make the concepts clearer and to help the students to acquire a basic understanding of the subject and learn the techniques of problem solving, which will help him/her enormously in the examinations like GATE, NET, CSIR etc.We hope this book would appeal not only to post graduate students of Mathematics and Physics (including research mathematicians) but also to those engineering students who are highly motivated.Salient Features* The concepts are emphasized in each chapter to make the students learn them thoroughly.* Applications of most of the theorems are shown through various solved examples.* Theorems and Propositions are stated in the maximum possible generality and much stress has been given to help the readers to compare and understand how vastly different the subjects Complex Analysis and Real Analysis are.* The exercise sets given at the end of each chapter shall sharpen the student's intellectual ability.* Nearly 80 figures are drawn to illustrate the results which will help the students for visualization.* The book is more exhaustive than most of the existing books.* The solved examples and exercises will better prepare students for different competitive examinations like GATE, NET, CSIR, NBHM etc.
TASC Math Mastery
TASC Math Mastery: Complete Tutorials & Practice Workbook with 200+ QuestionsYou have arrived!Here is everything you need to pass this tough test!We have helped thousands of students and we can help you! Over 200 TASC math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple choice strategies! TASC Math Practice Questions and Tutorials for: Basic MathScientific NotationExponents and Radicals Square RootFractions, Decimals and PercentMeans, Median and ModesAlgebra Solve real world problems with ratio and proportion Solve one and two variable equations Identify and solve quadratic equations given values or graphs Solve quadratic using different methods Translate real world problems into quadratic equa-tions and solve Basic Geometry Slope of a line Identify linear equations from a graph Calculate perimeter, circumference and volume Solve problems using the Pythagorean theorem Determine geometric transformations Solve real world problems using the properties of geometric shapesTASC(R) is a registered trademark of the Educational Testing Service (ETS), who are not involved in the production of, and do not endorse this product.Remember though, it only a few percentage points divide the PASS from the FAIL students! Even if our test tips increase your score by a few percentage points, isn't that worth it?
The Proof in the Code
The inside story of Lean, a computer program that answers the age-old question: How do you know if something is true? It began as an obscure bug-checking program at Microsoft Research developed by a lone computer engineer named Leo de Moura. Then an unlikely crew of mathematical misfits caught wind of it and began to adopt it with messianic zeal. Their goal was to create a truth machine that could provide the rarest of all commodities in life: a complete, 100 percent guarantee that something is true. Its name: Lean. As the movement grew and strengthened the program's capabilities, it drew in two of the world's most prominent mathematicians: Peter Scholze and Terence Tao. Google DeepMind, Meta AI, and other tech firms started using the program to supercharge computer reasoning. Now it's remaking the multi-thousand-year history of how mathematicians work, collaborate, and assess truth, while charting a new path in the march toward machine intelligence. In The Proof in the Code, Kevin Hartnett tells the definitive story of the birth and rise of Lean, and how a growing movement is transforming the enterprise of mathematics and ushering in a new era of human-computer collaboration. An engrossing, character driven narrative filled with insights about the future of math, computers, and AI, this brilliant work of journalism from one of the world's leading math writers offers a profound answer to the question: Can computers reveal universal truths?
The Art of Uncertainty
How dangerous is our diet? How much of sports falls into the realm of luck? When authorities categorize a given event as "highly likely"--how likely is that, really? Whether we're trying to decide if the benefits of a new medication are worth the chance of side effects or if artificial intelligence truly threatens humanity, our lives are riddled with uncertainties both everyday and existential--yet it can be difficult to know how to properly weigh all those unknowns. Luckily for us, renowned statistician David Spiegelhalter has spent his career dissecting data to resolve the apparently random and decode the many decisions we face with imperfect information. In The Art of Uncertainty, he shows how we can become better at dealing with what we don't know to make smarter choices in a world so full of puzzling variables.In lucid, lively prose, Spiegelhalter guides us through the principles of probability, illustrating how they can help us think more analytically about everything from medical advice to sports to climate change forecasts. He demonstrates how taking a mathematical approach to phenomena we might otherwise attribute to fate or luck can help us sort hidden patterns from mere coincidences, better evaluate cause and effect, and predict what's likely to happen in the future. Along the way, we learn how a misinterpretation of a probability contributed to the infamous Bay of Pigs fiasco, why a ship twice the size of the Titanic sank without a trace, and why we can be so confident that no two properly shuffled decks of cards have ever been in the same order.Sparkling with wit and fascinating real-world examples, this is an essential guide to navigating uncertainty while also retaining the humility to admit what we don't, or simply cannot, know.
SSAT Math Workbook
Over 200 SSAT(R) math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple choice strategies! You have arrived! We have helped thousands of students and we can hlep you!SSAT(R) Math Practice Questions and Tutorials for: AlgebraBasic MathGeometryWord ProblemsProbabilityStatisticsSSAT(c) and the Specialized High School Admissions Test(c) are administered by the New York Department of Education, who are not involved in the produc-tion of, and do not endorse this publication.You also receive: - Math Multiple Choice Strategy - How to Study for a Math Test - How to make a SSAT(R) study plan - How to Take a TestHere is what the SSAT(R) Math Workbook can do for you: - Learn then practice your math skills! Practice test questions are the best way to prepare for an exam and this is the book that you need to fully prepare for the SSAT(R) math test.- Practice Tests familiarize you with the exam format and types of questions, giving you more confidence when you take the exam.- Practice tests are a critical self-assessment tool that reveals your strengths and weaknesses.SSAT(R) Practice tests allow you to practice your exam time management - a critical exam-writing skill that can easily improve your grade substantially.- Practice tests reduce Test Anxiety, one of the main reasons for low marks on an exam. Hundreds of questions with detailed solutions and explanations to improve your understand of the basic concepts behind the questions.- Learn powerful multiple choice strategies designed by exam experts! Includes tips and multiple choice strategies to increase your score you won't find anywhere else!Practice Really Does Make Perfect! The more questions you see, the more likely you are to pass the test. And between our study guide and practice tests, you'll have over 200 practice questions that cover every category. Our SSAT(R) Math practice test questions have been developed by our dedicated team of experts. All the material in the study guide, including every practice question, are designed to engage your critical thinking skills needed to pass the test! Heard it all before? Maybe you have heard this kind of thing before, and don't feel you need it. Maybe you are not sure if you are going to buy this book. Remember though, it only a few percentage points divide the PASS from the FAIL students! Even if our test tips increase your score by a few percentage points, isn't that worth it?
NLN PAX Math Workbook
Over 200 NLN PAX math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple-choice strategies! ou have arrived! We have helped thousands of students and we can help you! Practice questions and tutorials for: Basic MathFractions and DecimalsWord ProblemsMetric ConversionBasic AlgebraGeometrySpeed, Force and MomentumMode, Mean and MedianAnd more!NLN PAX and the National Nursing League are not involved in the production of, and do not endorse this publication.You also receive: Math Multiple Choice StrategyHow to Study for a Math TestHow to make a NLN PAX study planHow to Take a TestPlease note that the PAX RN is administered by the National League of Nursing which is not involved in the production of, and does not endorse, this product. Here is what the NLN PAX Math Workbook can do for you: Learn then practice your math skills! Practice test questions are the best way to prepare for an exam and this is the book that you need to fully prepare for the NLN PAX math test.Practice Tests familiarize you with the exam format and types of questions, giving you more confidence when you take the exam.Practice tests are a critical self-assessment tool that reveals your strengths and weaknesses.NLN PAX Practice tests allow you to practice your exam time management - a critical exam-writing skill that can easily improve your grade substantially.Practice tests reduce Test Anxiety, one of the main reasons for low marks on an exam. Hundreds of questions with detailed solutions and explanations to improve your understand of the basic concepts behind the questions.Heard it all before? Maybe you have heard this kind of thing before, and don't feel you need it. Maybe you are not sure if you are going to buy this book.Remember though, it only a few percentage points divide the PASS from the FAIL students!Even if our test tips increase your score by a few percentage points, isn't that worth it?
HOAE PSB Math Workbook
Over 200 PSB math practice questions, prepared by a dedicated team of exam experts!You have arrived! We have helped thousands of students and we can help you! Practice questions and tutorials for: Basic Math Fractions and DecimalsWord ProblemsMetric ConversionBasic AlgebraGeometrySpeed, Force and MomentumMode, Mean and MedianAnd more!The PSB Health Occupations Aptitude Exam is administered by the Psychological Services Bureau, who are not involved in the production of this book and do not endorse this product. You also receive: Math Multiple Choice StrategyHow to Study for a Math TestHow to make a PSB study planHow to Take a TestHere is what the PSB Math Workbook can do for you: Learn then practice your math skills! Practice test questions are the best way to prepare for an exam and this is the book that you need to fully prepare for the PSB math test.Practice Tests familiarize you with the exam format and types of questions, giving you more confidence when you take the exam.PSB Practice tests allow you to practice your exam time management - a critical exam-writing skill that can easily improve your grade substantially.Practice tests reduce Test Anxiety, one of the main reasons for low marks on an exam. Hundreds of questions with detailed solutions and explanations to improve your understand of the basic concepts behind the questions.Learn powerful multiple-choice strategies designed by exam experts! Includes tips and multiple-choice strategies to increase your score you won't find anywhere else!Heard it all before? Maybe you have heard this kind of thing before, and don't feel you need it. Maybe you are not sure if you are going to buy this book. Remember though, it only a few percentage points divide the PASS from the FAIL students! Even if our test tips increase your score by a few percentage points, isn't that worth it?
Artificial Intelligence Technologies for Education
This Reprint presents a collection of cutting-edge research and reviews on the application of artificial intelligence (AI) technologies in education, focusing on both theoretical advancements and practical implementations. It examines how AI can be leveraged to enhance personalized learning, support adaptive assessment, enable intelligent learning environments, and facilitate more effective human-computer interaction in educational contexts. The contributions cover a broad spectrum of topics, including student and cognitive modeling, educational data mining, natural language processing for educational purposes, learning analytics, and the design of automated assistants and intelligent tutoring systems.The works featured in this Reprint address key challenges and opportunities in integrating AI into diverse educational domains. They explore innovative methods and tools for analyzing learning data, delivering targeted instructional support, and adapting pedagogical strategies to meet the needs of individual learners. The collection also highlights the interplay between AI-driven systems and educators, emphasizing collaborative and human-centered approaches to technology-enhanced learning. By bringing together original research, comprehensive surveys, and case studies, this Reprint provides valuable insights into the evolving role of AI in shaping the future of education, making it a useful resource for researchers, practitioners, and policymakers alike.
Calculus I
This Calculus I workbook is designed to provide structure to the Peer-Led Team Learning (PLTL) Workshop. These materials, originally developed from courses at the University of Maine, Morehouse College, and Prince George's Community College in Maryland, have been tested and provide students with many valuable tools for success.Each unit in this publication falls into one of three categories: (1) a discovery workshop, best offered before discussion of a concept occurs in class, with the goal that your learning will be enhanced through discovering an idea with peers; (2) an exploratory workshop, best offered after a concept is discussed in class so you can explore concepts in more depth with the goal of deepening your understanding of the idea; (3) a review workshop that is offered so you can practice important skills. You may be asked to complete the entire workshop, or selected parts because of the extensive nature of the topic and/or time constraints.
Blueprints
"A stunning book ... a thrilling read" (Peter Frankopan) that reveals how creative people can harness the profound and productive relationship between mathematics and the arts When Shakespeare has the Three Witches cast Macbeth's lot, he uses something very weird to do it: not simply "eye of newt and toe of frog," but the number seven. And when Hamlet claims, "To be or not to be, that is the question," Shakespeare reaches for eleven. For Shakespeare, prime numbers were magical. And he is not alone. As Marcus du Sautoy showcases in Blueprints, creativity is inseparable from mathematics. The designs of Le Corbusier and Leonardo; the music of Glass, Bach, and Debussy; the wild visions of Dali, the choreography of Laban, the animation of Pixar--all are shot through with mathematics, from primes and fractals to the weirder worlds of Hamiltonian cycles and hyperbolic geometry. And Du Sautoy argues that the relationship runs both ways. Just as mathematics inspires new art, the artistic mindset is a necessity for discovering new mathematics. Blueprints will expand your mind, but more importantly, it shows how to ignite your imagination. Anyone who wants to create needs this book.
Master HiSET Math
HiSET Math Mastery: Complete Tutorials & Practice Workbook with 200+ QuestionsYou have arrived! We have helped thousands of students and we can help you! Over 200 HiSET math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple choice strategies! HiSET Math Practice Questions and Tutorials for: Basic MathScientific NotationExponents and Radicals Square RootFractions, Decimals and PercentMeans, Median and ModesAlgebra Real world problems with ratio and proportion One and two variable equations Solve quadratic equations given values or graphs Quadratic using different methods Basic Geometry Slope of a line Linear equations from a graph Perimeter, circumference and volume Pythagorean theorem Geometric transformations Real world problems using the properties of geometric shapesYou also receive: Math Multiple Choice Strategy- How to Study for a Math Test- How to make a study plan- How to Take a TestHiSET(R) is a registered trademark of the Educational Testing Service (ETS), who are not involved in the production of, and do not endorse this product.Remember though, it only a few percentage points divide the PASS from the FAIL students! Even if our test tips increase your score by a few percentage points, isn't that worth it?
Making Democracy Count
How we can repair our democracy by rebuilding the mechanisms that power it What's the best way to determine what most voters want when multiple candidates are running? What's the fairest way to allocate legislative seats to different constituencies? What's the least distorted way to draw voting districts? Not the way we do things now. Democracy is mathematical to its very foundations. Yet most of the methods in use are a historical grab bag of the shortsighted, the cynical, the innumerate, and the outright discriminatory. Making Democracy Count sheds new light on our electoral systems, revealing how a deeper understanding of their mathematics is the key to creating civic infrastructure that works for everyone. In this timely guide, Ismar Volic empowers us to use mathematical thinking as an objective, nonpartisan framework that rises above the noise and rancor of today's divided public square. Examining our representative democracy using powerful clarifying concepts, Volic shows why our current voting system stifles political diversity, why the size of the House of Representatives contributes to its paralysis, why gerrymandering is a sinister instrument that entrenches partisanship and disenfranchisement, why the Electoral College must be rethought, and what can work better and why. Volic also discusses the legal and constitutional practicalities involved and proposes a road map for repairing the mathematical structures that undergird representative government. Making Democracy Count gives us the concrete knowledge and the confidence to advocate for a more just, equitable, and inclusive democracy.
Statistics for Composite Indicators
This book provides a systematic and integrated approach to construct measures of complex and multidimensional concepts called composite indicators. One of the most pressing needs of scientists and policy makers is to measure phenomena that are important to our lives in society using numbers, to observe their evolution over time, and to analyse the relationships between them in order to understand the complex reality and decide on the right actions to achieve specific goals. Many socio-economic phenomena, as well as ecological, biological and of other sciences, are multidimensional and, to be measured, require the use of statistical-mathematical techniques that facilitate their reading and use for studies and analyses. This book is a guide to the knowledge and application of statistical tools suitable for the construction of "optimal" composite indicators, i.e. indicators that provide the most accurate measure of multidimensional reality. The book is aimed at all those - statisticians, sociologists, economists, and policy makers - who wish to construct composite indicators to measure and evaluate the complex reality that surrounds us.
Artificial Intelligence in Healthcare
The two-volume set constitutes the proceedings of the Second International Conference on Artificial Intelligence in Healthcare, AIiH 2025, which took place in Cambridge, UK, in September 2025. The 60 full papers included in this book were carefully reviewed and selected from 83 submissions. They were organized in topical sections as follows: Health informatics, Personalised Healthcare, Robotics, Assisted Living Technology, Computational Medicine, Long-term Health Conditions, Maternity and Women's Health and Wellbeing.
Artificial Intelligence in Healthcare
The two-volume set constitutes the proceedings of the Second International Conference on Artificial Intelligence in Healthcare, AIiH 2025, which took place in Cambridge, UK, in September 2025. The 60 full papers included in this book were carefully reviewed and selected from 83 submissions. They were organized in topical sections as follows: Health informatics, Personalised Healthcare, Robotics, Assisted Living Technology, Computational Medicine, Long-term Health Conditions, Maternity and Women's Health and Wellbeing.
Unequal
Why the familiar equal sign is a gateway into math's--and humanity's--most profound questions    "Eugenia Cheng has opened up my mind to the wondrous world of pure mathematics in a way that I never thought was possible." ―Willow Smith, singer and actress    A New Scientist Best Book of the Year  Math is famous for its equations: 1 + 1 = 2, a^2 + b^2 = c^2, or y = mx + b. It can seem like that's all mathematics is: following steps to show that what's on one side of an equation is the same as what's on the other.    In Unequal, Eugenia Cheng shows that's just part of the story, and the boring part to boot. Mathematics is a world of shapes, symmetries, and logical ideas. And in that world, the boundary between things being equal and unequal is a gray area, or perhaps a rainbow of beautiful, vibrant, subtly nuanced color.    As Unequal shows, once you go over that rainbow, almost everything can be considered equal and unequal at the same time, whether it's shapes (seen from the right perspective, a circle is the same as an ellipse), words (synonyms), or people--even numbers! That's because mathematics isn't a series of rules, facts, or answers. It's an invitation to a more powerful way of thinking.   
The Pattern of Change
One of life's most fundamental revelations is change. Presenting the fascinating view that pattern is the manifestation of change, this unique book explores the science, mathematics, and philosophy of change and the ways in which they have come to inform our understanding of the world. Through discussions on chance and determinism, symmetry and invariance, information and entropy, quantum theory and paradox, the authors trace the history of science and bridge the gaps between mathematical, physical, and philosophical perspectives. Change as a foundational concept is deeply rooted in ancient Chinese thought, and this perspective is integrated into the narrative throughout, providing philosophical counterpoints to customary Western thought. Ultimately, this is a book about ideas. Intended for a wide audience, not so much as a book of answers, but rather an introduction to new ways of viewing the world.
Modelling Order and Disorder
Modelling Order and Disorder: Integro-Differential Nonlinear Equations provides an overview of a general mathematical structure: integro-differential nonlinear equations.
Classical Mechanics
The book introduces the main ideas and concepts of Newtonian, Lagrangian and Hamiltonian mechanics, including the basics of rigid body motion and relativistic dynamics, at an intermediate to advanced level.
Probability Workbook for Dummies
Sharpen your probability skills What are the chances you'll ace your next exam? Land that promotion? Beat the house in Vegas? With Probability Workbook For Dummies, you'll stop guessing and start knowing. This book is your practical toolkit for learning to calculate the probability of, well, anything. Through crystal-clear explanations and real-world scenarios, you'll discover how probability shapes every decision you make--and how understanding it gives you a serious edge. You'll practice set theory, counting, permutations, combinations, conditional expectations, probability modeling, and beyond, and strengthen your analytical muscles with hands-on exercises that transform abstract concepts into practical skills. Probability Workbook For Dummies will help you play your cards right! Get clear explanations and examples of the key concepts of probability Boost your problem-solving abilities Gain a fundamental understanding of how probability is used in daily life Work through practice problems to solidify what you've learned This Dummies guide is a great resource for high school and college students enrolled in statistics or probability courses. It's also helpful for professionals who need a refresher, as well as anyone interested in deepening their understanding of probability.
Master CUNY Math
CUNY(R) Math Mastery: Complete Tutorials & Practice Workbook with 300+ QuestionsYou have arrived!Here is everything you need to pass this tough test!We have helped thousands of students and we can help you! Over 200 CUNY(R) math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple choice strategies! CUNY(R) Math Practice Questions and Tutorials for: Numerical SkillsScientific NotationExponents and Radicals Square RootFractions, Decimals and Percent Algebra World problems with ratio and proportion One and two variable equations quadratic using different methods Translate real world problems into quadratic equa-tions and solve Advanced Algebra Trigonometry Logarithms Sequences Simple Geometry Slope of a line Linear equations from a graph Perimeter, circumference and volume Pythagorean theorem Geometric transformations CUNY(R) is a registered trademark of the City University of New York, who are not involved in the production of, and do not endorse this product.Remember though, it only a few percentage points divide the PASS from the FAIL students! Even if our test tips increase your score by a few percentage points, isn't that worth it?
Partial Differential Equations
Partial Differential Equations: Foundations and Applications offers a clear, precise, and conceptually rich introduction to one of the most fundamental areas of mathematics. Far beyond abstract formalism, partial differential equations form the language through which the laws of nature are expressed, governing phenomena in physics, engineering, and the life sciences - from heat diffusion and wave propagation to fluid motion, electromagnetism, and quantum systems.This volume is designed for undergraduate and postgraduate students in mathematics, physics, and engineering, as well as for motivated self-learners and researchers seeking a unified and reliable reference. It balances mathematical depth with conceptual clarity, integrating theory and application so that abstract methods emerge from physical motivations.This book includes: Fundamental definitions, classification, and formation of partial differential equations First-order partial differential equations: method of characteristics, Lagrange's method, Charpit's method, and applications such as transport equations and Burgers' equation Second-order partial differential equations: classification into hyperbolic, parabolic, and elliptic types, canonical forms, and associated physical models Separation of variables and Sturm-Liouville theory, with orthogonal functions and eigenfunction expansions Fourier series and Fourier transforms, convergence theorems, Parseval's identity, and applications to the heat and wave equations The heat, wave, and Laplace equations in one or more dimensions, steady-state and time-dependent solutions, and coordinate-based techniques Laplace transform methods for problems on semi-infinite domains, impulsive sources, and delta function initial conditions Each chapter is structured to develop both analytical techniques and physical insight, supported by solved examples and graded exercises with answers. Special attention is given to connecting mathematical derivations with their physical interpretations, ensuring the reader gains not only procedural skill but also a comprehensive insight of the underlying principles of the subject.
Banach Algebras and Harmonic Analysis
The book includes recent articles on various topics studied recently in Banach algebras and abstract harmonic analysis. On the Banach algebra side, the reader will find idempotents and socle of a Banach algebra; closed subspaces of a Banach space, including the classical sequence spaces, which are realized as the kernel of a bounded operator; the connection between the stable rank one and Dedekind-finite property of the algebra of operators on a Banach space; spectral synthesis properties in convolution Sobolev algebras on the real line. The harmonic analysis side includes a generalization of the famous Beurling theorem; groups with few finite-dimensional unitary representations; relations between ideals of the Figa-Talamanca Herz algebra of a locally compact group and ideals of Figa-Talamanca Herz algebra of its closed subgroup; the tame functionals on Banach algebras and in harmonic analysis; and cancellation, factorization, and isometries in algebras on a locally compact group. The book also includes four surveys written by leaders in the area of full sheaf cohomology theory for noncommutative C - algebras; one-parameter semigroups of bounded operators on a Banach space which are weakly continuous in the sense of Arveson.
Near Vector Spaces and Related Topics
Near Vector Spaces and Related Topics provides a systematic treatment of the introductory theory of near vector spaces, as well as a range of associated areas.
Visualization for Social Data Science
The book provides end-to-end skills in visual data analysis. It demonstrates how data graphics and modern statistics can be used in tandem to process, explore, model and communicate data-driven social science. It is packed with detailed data analysis examples, pushing you to do visual data analysis.
Logarithmic And Other Mathematical Tables
This is a classic compilation of "Logarithmic And Other Mathematical Tables" by William Joseph Hussey. Designed as a reference for students, engineers, and professionals, this volume provides a comprehensive collection of logarithmic, trigonometric, and other essential mathematical tables. The tables are meticulously arranged for ease of use, making it an invaluable tool for calculations and problem-solving across various scientific and technical fields.Hussey's work stands as a testament to the precision and rigor of mathematical computation, offering an enduring resource for anyone requiring accurate and reliable tabular data. This edition preserves the original content, ensuring that the legacy of this essential reference continues to serve future generations.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Elements Of Algebra, Tr. From The First Three Chapters Of The Algebra Of M. Bourdon, By A. De Morgan
"The Elements Of Algebra, Tr. From The First Three Chapters Of The Algebra Of M. Bourdon, By A. De Morgan" presents an English translation of the foundational chapters of M. Bourdon's influential algebra textbook. This historical text offers insights into mathematical education and algebraic principles as they were understood in the early 19th century. The work, translated by the eminent mathematician Augustus De Morgan, provides a valuable resource for understanding the development of algebraic thought and pedagogical methods. It remains relevant for historians of mathematics and those interested in the evolution of mathematical teaching techniques.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Method of Integrating the Square Roots of Quadratics
"A Method of Integrating the Square Roots of Quadratics" by Henry T. Eddy delves into a specific area of integral calculus prevalent in the late 19th century. This treatise offers a focused examination of techniques for integrating square roots of quadratic expressions, providing a detailed exploration of mathematical methods relevant to the period. Originally published in 1872, this work provides insights into the mathematical practices and challenges of the time, offering a valuable resource for those interested in the history of mathematics and the evolution of calculus. Eddy's approach gives contemporary readers a glimpse into the analytical tools employed by mathematicians of the era.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Method of Integrating the Square Roots of Quadratics
"A Method of Integrating the Square Roots of Quadratics" by Henry T. Eddy delves into a specific area of integral calculus prevalent in the late 19th century. This treatise offers a focused examination of techniques for integrating square roots of quadratic expressions, providing a detailed exploration of mathematical methods relevant to the period. Originally published in 1872, this work provides insights into the mathematical practices and challenges of the time, offering a valuable resource for those interested in the history of mathematics and the evolution of calculus. Eddy's approach gives contemporary readers a glimpse into the analytical tools employed by mathematicians of the era.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements Of Spherical Trigonometry
"Elements of Spherical Trigonometry" by Augustus De Morgan is a comprehensive exploration of spherical trigonometry, designed for students and educators alike. This book provides a detailed examination of the principles and applications of trigonometry on the surface of a sphere, a crucial area of study for fields such as astronomy, navigation, and geodesy. De Morgan's clear and rigorous approach makes this text an invaluable resource for anyone seeking a solid understanding of this essential branch of mathematics.With meticulous explanations and numerous examples, this work serves as both a textbook and a reference guide. Its enduring value lies in its ability to demystify complex concepts, making it accessible to learners at various levels. Whether you are a student delving into the intricacies of spherical geometry or a professional requiring precise calculations on a spherical surface, this book offers the necessary tools and insights.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Differential and Integral Calculus, With Applications
"Differential and Integral Calculus, With Applications" offers a comprehensive exploration of calculus as it was understood in the late 19th century. Penned by the esteemed mathematician Sir George Greenhill, this text provides a detailed exposition of both differential and integral calculus, enriched with numerous applications to practical problems. This book is structured to guide the reader through the fundamental principles of calculus, building from basic concepts to more advanced techniques. Readers will appreciate Greenhill's rigorous approach and his commitment to clarity, making this work an invaluable resource for students and scholars alike. This edition preserves the original text's integrity, ensuring that modern readers can access the insights and methods of a bygone era of mathematical education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Lectures on the Theory of Plane Curves; Delivered to Post-graduate Students in the University of Calcutta
"Lectures on the Theory of Plane Curves" presents a detailed exploration of plane curves as delivered to post-graduate students at the University of Calcutta. Authored by Surendramohan Ganguli, these lectures offer a rigorous treatment of the subject matter, suitable for advanced students and researchers in mathematics. Originally presented in 1919, this work preserves the insights and methodologies of early 20th-century mathematical education. The content focuses on algebraic geometry and the properties of curves, providing a valuable resource for understanding the historical development of mathematical concepts. This book serves not only as a study of plane curves but also as a glimpse into the academic environment of the University of Calcutta during that era. It remains relevant for anyone interested in the foundations of geometric theories and mathematical teaching strategies.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
