K羹nneth Geometry
This clear and elegant text introduces K羹nneth, or bi-Lagrangian, geometry from the foundations up, beginning with a rapid introduction to symplectic geometry at a level suitable for undergraduate students. Unlike other books on this topic, it includes a systematic development of the foundations of Lagrangian foliations. The latter half of the text discusses K羹nneth geometry from the point of view of basic differential topology, featuring both new expositions of standard material and new material that has not previously appeared in book form. This subject, which has many interesting uses and applications in physics, is developed ab initio, without assuming any previous knowledge of pseudo-Riemannian or para-complex geometry. This book will serve both as a reference work for researchers, and as an invitation for graduate students to explore this field, with open problems included as inspiration for future research.
Formal Aspects of Component Software
This book constitutes the refereed proceedings of the 19th International Conference on Formal Aspects of Component Software, FACS 2023, which took place virtually during October 19-20, 2023.The 11 full papers included in this book were carefully reviewed and selected from 23 submissions. They were organized in topical sections as follows: cloud computing, cyber-physical and critical systems, and the Internet of Things.
K羹nneth Geometry
This clear and elegant text introduces K羹nneth, or bi-Lagrangian, geometry from the foundations up, beginning with a rapid introduction to symplectic geometry at a level suitable for undergraduate students. Unlike other books on this topic, it includes a systematic development of the foundations of Lagrangian foliations. The latter half of the text discusses K羹nneth geometry from the point of view of basic differential topology, featuring both new expositions of standard material and new material that has not previously appeared in book form. This subject, which has many interesting uses and applications in physics, is developed ab initio, without assuming any previous knowledge of pseudo-Riemannian or para-complex geometry. This book will serve both as a reference work for researchers, and as an invitation for graduate students to explore this field, with open problems included as inspiration for future research.
Elements of Discrete Mathematics
This book treats the elements of discrete mathematics that have important applications in computer science, thus providing the necessary tools for the reader to come to a competent mathematical judgement of modern developments in the age of information. Almost all assertions are shown with full proofs. Exercises are provided, with solutions presented in full detail.
The Waltz of Reason
"A mind-bending jaunt ... that makes clear in fascinating detail how math is more than a sum of its parts" (Publishers Weekly) "Let no one ignorant of geometry enter here," Plato warned would-be philosophers. Mathematician Karl Sigmund agrees. In The Waltz of Reason, he shows how mathematics and philosophy together have shaped our understanding of space, chance, logic, cooperation, voting, and the social contract. Sigmund shows how game theory is integral to moral philosophy, how statistics shaped the meaning of reason, and how the search for a logical basis for math leads to deep questions about the nature of truth itself. But this is no dry tome: Sigmund's wit and humor shine as brightly as his erudition. The Waltz of Reason is an engrossing history of ideas as vibrant as a ballroom full of dancers, one that empowers as it entertains, following the complex and occasionally dizzying steps of the thinkers who have molded our thought and founded our world.
Problems and Solutions in Mathematical Olympiad (Secondary 2)
The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.
Problems and Solutions in Mathematical Olympiad (Secondary 2)
The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.
Journal of Applied Logics. IfCoLog Journal of Logics and their Applications. Volume 10, number 5, November 2023
The Journal of Applied Logics - IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are free open access, and available via the College Publications website. This Journal is open access, puts no limit on the number of pages of any article, puts no limit on the number of papers in an issue and puts no limit on the number of issues per year. We insist only on a very high academic standard, and will publish issues as they come.
The Mathematics of Finance for High Schoolers
It's never too early to start learning about finance. But the mathematics covered in this book is not the mathematics of balancing your check book, or splitting a restaurant bill among friends, some of whom had the set menu, and others the specials. The mathematics here is an introduction to the subject known as mathematical finance, quantitative finance or financial engineering. It's an introduction to the higher level of mathematics used in banks and hedge funds, in valuing complex financial instruments, in allocating money to different assets, and in measuring and managing risk.This book is for high-school children who are confident in their mathematics. They do not have to be advanced or even top of their class. But they do have to be comfortable with learning new concepts.The book starts with a chapter on the history of money, banks, bubbles and crashes. Then there's the jargon. Bankers do like their jargon, but it's all very straightforward. Then there's a chapter on careers in finance. There are jobs that just require familiarity with spreadsheets, then there are jobs that require a degree in mathematics or computer science. A chapter on the basic mathematics is next. That's a little bit, but only a little bit, about the exponential function, logarithms and simple ideas in probability. The last four chapters are on fixed income (that's just putting money in the bank), shares, portfolios, and finally the financial instruments known as options.
Boundary Elements and Other Mesh Reduction Methods XLVI
Theoretical advances and new foundations have been reported at the Conference for more than 40 years which has helped expand the range of applications as well as the type of materials in response to industrial and professional requirements. Since the conference started it has attracted high quality papers that report further advances in techniques that reduce or eliminate the type of meshes associated with finite elements or finite differences, for instance. As design, analysis and manufacture become more integrated, the chances are that the users will be less aware of the capabilities of the analytical techniques that are at the core of the process. This reinforces the need to retain expertise in certain specialised areas of numerical methods, such as BEM/MRM, to ensure that all new tools perform satisfactorily in the integrated process.The maturity of BEM since 1978 has resulted in a substantial number of industrial applications, which demonstrate the accuracy, robustness and easy use of the technique. Their range still needs to be widened, taking into account the potentialities of the Mesh Reduction techniques in general. The papers included in this volume originate from the 46th conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM) which acts as a forum to discuss new ideas and critically compare results before the solution and tools are released to the end users.
Introduction to Data Science
The book systematically introduces the basic contents of data science, including data preprocessing and basic methods of data analysis, handling special problems (e.g. text analysis), deep learning, and distributed systems.In addition to systematically introducing the basic content of data science from a theoretical point of view, the book also provides a large number of data analysis practice cases.
Fields Medallists' Lectures (V5)
Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age.A list of Fields Medallists and their contributions provides a bird's eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from 22 Fields Medallists and so provides a highly interesting and varied picture.The contributions themselves represent the choice of the individual Medallists. In some cases the articles relate directly to the work for which the Fields Medals were awarded. In other cases new articles have been produced which relate to more current interests of the Medallists. This indicates that while Fields Medallists must be under 40 at the time of the award, their mathematical development goes well past this age. In fact the age limit of 40 was chosen so that young mathematicians would be encouraged in their future work.The Fields Medallists' Lectures is now available on CD-ROM. Sections can be accessed at the touch of a button, and similar topics grouped together using advanced keyword searches.
Fields Medallists' Lectures (V5)
Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age.A list of Fields Medallists and their contributions provides a bird's eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from 22 Fields Medallists and so provides a highly interesting and varied picture.The contributions themselves represent the choice of the individual Medallists. In some cases the articles relate directly to the work for which the Fields Medals were awarded. In other cases new articles have been produced which relate to more current interests of the Medallists. This indicates that while Fields Medallists must be under 40 at the time of the award, their mathematical development goes well past this age. In fact the age limit of 40 was chosen so that young mathematicians would be encouraged in their future work.The Fields Medallists' Lectures is now available on CD-ROM. Sections can be accessed at the touch of a button, and similar topics grouped together using advanced keyword searches.
Information, Randomness & Incompleteness: Papers on Algorithmic Information Theory
Differential Equations
The first part of this book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general. The book includes the basic topics in Ordinary Differential Equations, normally taught at the undergraduate level, such as linear and nonlinear equations and systems, Bessel functions, Laplace transform, stability, etc. It is written with ample flexibility to make it appropriate either as a course stressing application, or a course stressing rigor and analytical thinking. It also offers sufficient material for a one-semester graduate course, covering topics such as phase plane analysis, oscillation, Sturm-Liouville equations, Euler-Lagrange equations in Calculus of Variations, first and second order linear PDE in 2D. There are substantial lists of exercises at the ends of the chapters. In this edition complete solutions to all even number problems are given in the back of the book.The 2nd edition also includes some new problems and examples. An effort has been made to make the material more suitable and self-contained for undergraduate students with minimal knowledge of Calculus. For example, a detailed review of matrices and determinants has been added to the chapter on systems of equations. The second edition also contains corrections of some misprints and errors in the first edition.
Algebraic Foundations for Applied Topology and Data Analysis
This book gives an intuitive and hands-on introduction to Topological Data Analysis (TDA). Covering a wide range of topics at levels of sophistication varying from elementary (matrix algebra) to esoteric (Grothendieck spectral sequence), it offers a mirror of data science aimed at a general mathematical audience. The required algebraic background is developed in detail. The first third of the book reviews several core areas of mathematics, beginning with basic linear algebra and applications to data fitting and web search algorithms, followed by quick primers on algebra and topology. The middle third introduces algebraic topology, along with applications to sensor networks and voter ranking. The last third covers key contemporary tools in TDA: persistent and multiparameter persistent homology. Also included is a user's guide to derived functors and spectral sequences (useful but somewhat technical tools which have recently found applications in TDA), and an appendix illustrating a number of software packages used in the field. Based on a course given as part of a masters degree in statistics, the book is appropriate for graduate students.
Boundary Value Problems for Linear Partial Differential Equations
This book provides students with the opportunity to understand and exercise the benefits of Boundary value problems and initial value problems, equipping them with realistic, practical tools to study solvable linear models of electromagnetism, fluid dynamics, geophysics, optics, thermodynamics and specifically, quantum mechanics.
Journal of Applied Logics - The IfCoLog Journal of Logics and their Applications
The Journal of Applied Logics - IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are open access, and available via the College Publications website. This Journal is open access, and available in both printed and electronic formats. It is published by College Publications, on behalf of IfCoLog (www.ifcolog.net).
Pre-Calculus for Beginners
PreCalculus Simplified: Your Journey to Mathematical Excellence!Pre-Calculus for Beginners is a comprehensive and user-friendly guide designed to help students build a strong foundation in pre-calculus mathematics. Whether you're a high school student preparing for college-level math courses or an adult learner looking to refresh your pre-calculus knowledge, this book offers a clear and accessible approach to mastering essential pre-calculus concepts.Key Features: Thorough Coverage of Pre-Calculus Concepts: This book covers all the fundamental topics of pre-calculus, making it suitable for beginners with little to no prior mathematical background. From algebraic functions and trigonometry to polynomial equations and limits, you'll find everything you need to succeed in your pre-calculus studies.Online Course Integration: To enhance your learning experience, "Pre-Calculus for Beginners" comes with a corresponding online course. This integration allows you to access additional resources and materials that complement the book's content seamlessly.Interactive Learning with QR Codes: Each topic in the book is accompanied by a QR code. Scan the code with your smartphone or tablet, and it will take you to a dedicated webpage with in-depth lessons related to the topic. This interactive feature provides an engaging way to reinforce your understanding of the material.Comprehensive Learning Resources: The linked webpages offer a wealth of resources, including detailed lessons, worked examples, a variety of exercises, and video lessons. These resources cater to different learning preferences, allowing you to choose the method that suits you best.Practice Worksheets: To help you practice and test your knowledge, you'll find worksheets related to each topic. These worksheets offer a range of problems to solve, allowing you to build your skills incrementally.Answers Provided: While the book doesn't provide step-by-step instructions, it does offer a valuable feature-answers to all the exercises and problems. This allows you to check your work and track your progress independently."Pre-Calculus for Beginners" is more than just a traditional textbook; it's a comprehensive learning package that combines the convenience of a physical book with the interactivity of an online course. Whether you're learning on your own or in a classroom setting, this resource-rich book and its associated online course will empower you to master pre-calculus mathematics and build a strong mathematical foundation for future studies. Start your pre-calculus journey today with "Pre-Calculus for Beginners." Ideal for self-study and classroom usage!
Advances in Graph Neural Networks
This book provides a comprehensive introduction to the foundations and frontiers of graph neural networks. In addition, the book introduces the basic concepts and definitions in graph representation learning and discusses the development of advanced graph representation learning methods with a focus on graph neural networks. The book providers researchers and practitioners with an understanding of the fundamental issues as well as a launch point for discussing the latest trends in the science. The authors emphasize several frontier aspects of graph neural networks and utilize graph data to describe pairwise relations for real-world data from many different domains, including social science, chemistry, and biology. Several frontiers of graph neural networks are introduced, which enable readers to acquire the needed techniques of advances in graph neural networks via theoretical models and real-world applications.
Mathematics Research for the Beginning Student, Volume 2
Complex Algebraic Threefolds
The first book on the explicit birational geometry of complex algebraic threefolds arising from the minimal model program, this text is sure to become an essential reference in the field of birational geometry. Threefolds remain the interface between low and high-dimensional settings and a good understanding of them is necessary in this actively evolving area. Intended for advanced graduate students as well as researchers working in birational geometry, the book is as self-contained as possible. Detailed proofs are given throughout and more than 100 examples help to deepen understanding of birational geometry. The first part of the book deals with threefold singularities, divisorial contractions and flips. After a thorough explanation of the Sarkisov program, the second part is devoted to the analysis of outputs, specifically minimal models and Mori fibre spaces. The latter are divided into conical fibrations, del Pezzo fibrations and Fano threefolds according to the relative dimension.
Artificial Intelligence Logic and Applications
This book constitutes the proceedings of the Third International Conference, AILA 2023, held in Changchun, China, during August 5-6, 2023. The 26 full papers and the 10 short papers included in this volume were carefully reviewed and selected from 56 submissions. This volume aims to provide novel ideas, original research achievements, and practical experiences in a broad range of artificial intelligence logic and applications.
An Introduction to Discrete Dynamical Systems and their General Solutions. 4th Edition
This book studies 1-D and 2-D solutions of discrete and continuous analogue dynamical systems and identifies their intrinsic differences. It starts by introducing discrete dynamical systems before comparing them to continuous analogue ones. It studies in some depth periodic and chaotic-type solutions of quadratic and cubic equations and the harvesting/fishing effect on non-periodic and periodic solutions of populations models based on them. Considerations about the stability of the solutions are critical in their study. It contains examples of applications to accounting, pharmacology, harvesting/fishing strategies, economic and population models and historical battles.
User Manual and Research Notebooks for CSP-Rules
CSP-Rules is a generic pattern-based (or rule-based) solver of finite binary Constraint Satisfaction Problems (CSPs). This software is available on GitHub and it includes fully developed applications to various logic puzzles such as Sudoku, Latin Squares (allowing their Pandiagonal variant), Futoshiki, Kakuro, Numbrix, Hidato, Slitherlink and Map Colouring. CSP-Rules produces not only the solution to a CSP (as all the existing CSP solvers) but also a full "resolution path", i.e. a detailed justification for each step; this is a full mathematical proof of the solution. CSP-Rules and the present book are closely related to the author's book "Pattern Based Constraint Satisfaction and Logic Puzzles", where the fundamental theory underlying the approach is presented. This book includes an extended version of the original "Basic User Manual". But it also introduces new powerful generic rules (OR-chains) for taking advantage of almost-contradictory patterns. In particular, it applies these chains to the analysis of a newly discovered pattern (tridagon) and to the classification of a large database of extreme Sudoku puzzles that have it. It also adds the analyses of 630 impossible patterns and explains how to deal with such a large number of patterns. It shows that a handful of them provide almost the same resolution power as the full set. The long final two chapters are written as research notebooks on these very advanced topics.
50 Math Tricks That Will Change Your Life
Insane Number Hacks For Curious Adults And Daring Students! In this epic book, you'll uncover 50 unbelievable ways you can manipulate numbers to solve equations, word problems and brain teasers in a flash, no calculator required. Math wizard Tanya Zakowich uses colorful diagrams and quirky explanations to help you see math as a creative tool you can use to quickly solve problems without confusion. Whether you want to divide huge numbers in your head, instantly know the square root of 5,489 or mentally calculate how much you'll spend on a Spotify subscription this year, you'll be able to get your answer in a matter of seconds. These mind-blowing tricks will teach you that numbers aren't just magical, they are an awesome resource for hacking the world around you!
Pre-Algebra Tutor
Pre-Algebra Made Easy: Integrating Digital and Traditional Learning Pre-Algebra Tutor stands as a comprehensive and detailed guide, meticulously crafted for students venturing into the world of pre-algebra. This book distinguishes itself by blending traditional teaching methodologies with the latest digital enhancements: Step-by-Step Guidance: Each topic in the book is meticulously explained through step-by-step instructions, ensuring students grasp each concept thoroughly.Detailed Examples: The book offers an array of detailed examples for every topic, aiding students in understanding practical applications of pre-algebra concepts.QR Codes & Web Links: Accompanying every topic, QR codes and web links direct students to an online platform, tailored specifically to that subject.Engaging Online Resources: These digital resources are rich with detailed lessons, interactive exercises, and engaging video lessons, catering to diverse learning styles.Worksheets for Reinforcement: Included are various worksheets that provide additional practice, reinforcing the concepts learned in each section.With a focus on comprehensive understanding, Pre-Algebra Tutor encourages students to delve deep into each concept: Easy-to-Follow Format: The book's structure is designed to promote easy and effective learning, making complex concepts accessible to all students.Answers for Self-Assessment: All exercises come with answers, allowing students to check their work and understand areas for improvement.This book is an invaluable resource for students aiming to build a solid foundation in pre-algebra, and for educators looking for a resource that effectively combines traditional and digital teaching methodologies. Ideal for self-study and classroom usage!
A Study on Effects of Free Convection on MHD Flows through Porous Medium
Academic Paper from the year 2019 in the subject Mathematics - Applied Mathematics, grade: A, Jawaharlal Nehru University (Madanapalle Institute of Science and Technology), course: Mathematics, language: English, abstract: In this thesis, MHD free convective heat and mass transfer flow of some Newtonian and non-Newtonian fluids through a porous medium has been investigated theoretically, to examine the various physical properties of the flow. The governing equations pertaining to the fluid flow are converted into a set of partial differential equations in non-dimensional form and then solved analytically and numerically, by applying various methods such as perturbation method, Laplace transform technique. The physical parameters namely magnetic parameter or Hartmann number, thermal radiation parameter, Grashof number or thermal buoyancy parameter, solutal Grashof number or mass buoyancy parameter, porosity parameter, time, Prandtl number, Hall parameter, radiation absorption parameter, Schmidt number, Soret number, chemical reaction parameter, heat source/sink parameter are considered for the study. The variations in velocity, temperature and concentration under the effect of these rheological parameters have been studied and discussed with the help of graphs and tables. Also, the influences of some important parameters on Nusselt number, Sherwood number and skin friction are analyzed. The basic concepts of MHD, heat and mass transfer along with governing equations associated with energy, conservation of momentum, conservation of mass and molecular diffusion are presented in the chapter First. This chapter also explains fundamental concepts and their importance such as viscosity, pressure, density, heat absorption/generation, Hall current effect, porous medium, boundary layer theory, etc. The parameters like magnetic parameter, Grashof number, Prandtl number, Schmidt number, Nusselt number and Sherwood number are also elucidated. The second chapter presents the l
Mathematics for Social Justice
This book contains examples of topics linking math and social justice and addresses both goals. There is a broad range of mathematics used, including statistical methods, modeling, calculus, and basic algebra.
Byrne's Euclid
The Elements and its many editions tell a story of remix and reuse across cultures and millennia. Its tradition of being the most reprinted and readapted mathematical text in history continues today. In modern times, The Elements has become renowned for its beauty and design. Attention to its aesthetics first appeared in 1847 with Oliver Byrne's famous redesign. Byrne's edition is beautifully minimalist and rational, notably using color (red, blue, yellow, and black) to illustrate geometric concepts. Byrne used color to distinguish between different lines and angles, and he added illustrations and diagrams to better guide students through the proofs. Byrne's edition was regarded for its innovation and used in schools and universities. However, the cost of producing the book was high, which resulted in it not being as widely distributed as some earlier editions. Nevertheless, Byrne's work remains an important part of the publishing history of The Elements and is considered one of, if not the most, imaginative editions. Today, Byrne's edition of The Elements and subsequent remasters have become popular commodities in the study and appreciation of art and graphic design. It is a preeminent example of how quantitative information can be effectively conveyed with the right touch of color, thoughtful layout, and minimalist design. Despite an uncanny similarity, Bryne's aesthetic surprisingly prefigured the de Stijl and Bauhaus design movements of the 20th century, making it truly avant-garde for its time. The Elements was first digitized by Cornell University Library in 1991, and Byrne's edition was re-cast into a markup programming language by Slyusarev Sergey in 2017. This digitization of The Elements marked the next logical progression for the distribution and revision of this classic work. The Elements and its many editions tells a story of remix and reuse among cultures and millennia. Its tradition of being the most reprinted and readapted mathematical text in history continues today. This book is a physical print of the 0.7 edition (2019) with minor modifications, as created by Slyusarev Sergey. The text was written using MetaPost for vector graphics and ConTeXt for typesetting and layout.
Pi( ? ) Time and Nikola Tesla 369
In the Universe, the real value of Archimedes' constant Pi(π) is calculated. It can be found in nature at all times, in the past, present, and future. Pi(π) is born when the Universe and Galaxies are born, and its value ends. When a massive bang occurs. This means that I've figured out what Pi(π). In other words, according to my research, is time. Science has agreed that the Big Bang created everything in this and other universes, as we all know. The birth and death of galaxies and other celestial bodies is a never-ending cycle. Our forebears wanted to communicate to us a hidden pattern. After a tremendous bang, everything goes back to zero and things start to form anew. God's mathematical fingerprint of God. My proofs are mentioned in this study book.
Byrne's Euclid
The Elements and its many editions tell a story of remix and reuse across cultures and millennia. Its tradition of being the most reprinted and readapted mathematical text in history continues today. In modern times, The Elements has become renowned for its beauty and design. Attention to its aesthetics first appeared in 1847 with Oliver Byrne's famous redesign. Byrne's edition is beautifully minimalist and rational, notably using color (red, blue, yellow, and black) to illustrate geometric concepts. Byrne used color to distinguish between different lines and angles, and he added illustrations and diagrams to better guide students through the proofs. Byrne's edition was regarded for its innovation and used in schools and universities. However, the cost of producing the book was high, which resulted in it not being as widely distributed as some earlier editions. Nevertheless, Byrne's work remains an important part of the publishing history of The Elements and is considered one of, if not the most, imaginative editions. Today, Byrne's edition of The Elements and subsequent remasters have become popular commodities in the study and appreciation of art and graphic design. It is a preeminent example of how quantitative information can be effectively conveyed with the right touch of color, thoughtful layout, and minimalist design. Despite an uncanny similarity, Bryne's aesthetic surprisingly prefigured the de Stijl and Bauhaus design movements of the 20th century, making it truly avant-garde for its time. The Elements was first digitized by Cornell University Library in 1991, and Byrne's edition was re-cast into a markup programming language by Slyusarev Sergey in 2017. This digitization of The Elements marked the next logical progression for the distribution and revision of this classic work. The Elements and its many editions tells a story of remix and reuse among cultures and millennia. Its tradition of being the most reprinted and readapted mathematical text in history continues today. This book is a physical print of the 0.7 edition (2019) with minor modifications, as created by Slyusarev Sergey. The text was written using MetaPost for vector graphics and ConTeXt for typesetting and layout.
Adult Math Tutor
Adult Math Tutor: The Complete Guide to Refreshing Your Math SkillsRediscover the world of mathematics with "Adult Math Tutor: The Ultimate Math Refresher for Adults," an innovative and comprehensive guide designed to reacquaint adults with the math skills they once learned and may have forgotten. This book is a perfect companion for those seeking to refresh their mathematical knowledge, whether for personal growth, professional requirements, or just a renewed sense of confidence in handling everyday numerical challenges.Key Features of the Book: Tailored Content for Adults: Understanding that relearning differs from initial learning, the book's content is specifically tailored for adult learners, focusing on concepts most relevant and useful in everyday life and in various professional contexts.Step-by-Step Guidance: Each chapter is structured to gradually build your understanding, starting from fundamental concepts and moving to more complex topics. This approach ensures a solid foundation and a thorough comprehension of each mathematical principle.Real-Life Applications: The book emphasizes the practical application of math in real-world scenarios, helping readers to see the relevance and importance of math in everyday life, from budgeting and home improvement projects to understanding statistics in the news.Comprehensive Topic Coverage: Topics range from basic arithmetic (addition, subtraction, multiplication, and division) to more advanced subjects like algebra, geometry, statistics, and probability. This wide range ensures that readers can brush up on all essential areas of math.Clear, Concise Explanations: Concepts are explained in an easy-to-understand language, avoiding overly technical jargon. This approach makes the material accessible to those who might have found math challenging or intimidating in the past.Accompanying Online Course: Interactive Lessons: The book is complemented by an engaging online course that offers interactive lessons closely aligned with the book's topics. This multimedia approach caters to different learning styles and helps reinforce the concepts learned.Worksheets and Practice Problems: For each topic, the course provides downloadable worksheets and a variety of practice problems, allowing learners to apply and test their understanding of the material.Instructional Videos: Each chapter in the book is paired with instructional videos. These videos provide additional explanations and visual demonstrations of key concepts, making complex topics more digestible.Examples and Demonstrations: The course includes detailed examples and step-by-step demonstrations that correspond to the book's content, ensuring that learners can see the principles in action.Personalized Learning Experience: With the flexibility to learn at your own pace and revisit topics as needed, the course and book combo provides a personalized learning experience that can be tailored to individual needs and schedules.Adult Math Tutor is more than just a book; it's a comprehensive learning system designed to empower adults to reclaim their mathematical proficiency and confidence. Whether you're preparing for a job requirement, helping your kids with their homework, or just looking to sharpen your mental arithmetic, this book and its accompanying online course are the perfect tools to help you achieve your math learning goals. Ideal for self-study and classroom usage!
Algebraic Varieties: Minimal Models and Finite Generation
The finite generation theorem is a major achievement in modern algebraic geometry. Based on the minimal model theory, it states that the canonical ring of an algebraic variety defined over a field of characteristic 0 is a finitely generated graded ring. This graduate-level text is the first to explain this proof. It covers the progress on the minimal model theory over the last 30 years, culminating in the landmark paper on finite generation by Birkar‒Cascini‒Hacon‒McKernan. Building up to this proof, the author presents important results and techniques that are now part of the standard toolbox of birational geometry, including Mori's bend-and-break method, vanishing theorems, positivity theorems, and Siu's analysis on multiplier ideal sheaves. Assuming only the basics in algebraic geometry, the text keeps prerequisites to a minimum with self-contained explanations of terminology and theorems.
Universal Algebraic Logic
This book gives a comprehensive introduction to Universal Algebraic Logic. The three main themes are (i) universal logic and the question of what logic is, (ii) duality theories between the world of logics and the world of algebra, and (iii) Tarskian algebraic logic proper including algebras of relations of various ranks, cylindric algebras, relation algebras, polyadic algebras and other kinds of algebras of logic. One of the strengths of our approach is that it is directly applicable to a wide range of logics including not only propositional logics but also e.g. classical first order logic and other quantifier logics. Following the Tarskian tradition, besides the connections between logic and algebra, related logical connections with geometry and eventually spacetime geometry leading up to relativity are also part of the perspective of the book. Besides Tarskian algebraizations of logics, category theoretical perspectives are also touched upon. This book, apart from being a monograph containing state of the art results in algebraic logic, can be used as the basis for a number of different courses intended for both novices and more experienced students of logic, mathematics, or philosophy. For instance, the first two chapters can be used in their own right as a crash course in Universal Algebra.
Mathematics Research for the Beginning Student, Volume 1
Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students with minimal experience beyond high school mathematics are still hard to find. To address this need, this volume provides beginning students with specific research projects and the tools required to tackle them. Most of these projects are accessible to students who have not yet taken Calculus, but students who know some Calculus will find plenty to do here as well. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. Suggested prerequisites are noted at the beginning of each chapter. Some topics covered include: games on graphsmodeling of biological systemsmosaics and virtual knotsmathematics for sustainable humanitymathematical epidemiologyMathematics Research for the Beginning Student, Volume 1 will appeal to undergraduate students at two- and four-year colleges who are interested in pursuing mathematics research projects. Faculty members interested in serving as advisors to these students will find ideas and guidance as well. This volume will also be of interest to advanced high school students interested in exploring mathematics research for the first time. A separate volume with research projects for students who have already studied calculus is also available.
Lectures on the Theory of Functions of Real Variables. v. 1-2
These lectures explore the theory of functions of real variables, offering a deep dive into the mathematical concepts and techniques underlying modern analysis. Pierpont's approach balances mathematical rigor and accessibility, making this work an essential resource for anyone interested in the foundations of modern calculus and analysis.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 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.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.
Mathematical Philosophy
Gain a new appreciation for the intersection of mathematics and philosophy with this fascinating collection of lectures. Cassius Jackson Keyser explores topics ranging from determinism and indeterminacy to the nature of infinity, offering readers a glimpse into the wondrous world of mathematical philosophy.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 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.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.
An Elementary Treatise on the Integral Calculus Founded on the Method of Rates or Fluxions
A classic text on the foundations of calculus by one of America's earliest mathematicians. Covers the fundamental principles of calculus and their applications in a variety of fields. Includes many concrete examples and exercises. Perfect for students and professionals in mathematics, engineering, physics, and related fields.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 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.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.
An Accelerated Bisection Method for the Calculation of Eigenvalues of a Symmetric Tridiagonal Matrix
This groundbreaking text introduces an innovative new method for calculating eigenvalues of symmetric tridiagonal matrices using accelerated bisection, a technique that greatly reduces the computational complexity of the problem. Written with both the advanced student and the active researcher in mind, this book offers a thorough treatment of the theoretical underpinnings of the method and provides detailed examples of its application in a variety of contexts.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 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.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.
Goodykoontz's Perpetual Calendar and General Reference Manual. A Book for the Millions (
Jasper Goodykoontz's Perpetual Calendar and General Reference Manual is an essential tool for anyone looking to organize their time and keep track of important events. With its easy-to-use format and comprehensive reference section, this manual is a must-have for busy professionals, students, and homemakers alike. Whether you need to keep track of appointments, plan your meals for the week, or find the address of a local business, Goodykoontz's Perpetual Calendar has got you covered. Get organized today and see how much more you can accomplish with this invaluable resource at your fingertips.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 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.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 Treatise On the Doctrine of Numerical Series, Both Ascending and Descending
In this comprehensive mathematical treatise, Jackman explores the complex patterns and relationships that underlie numerical series and the binomial theorem. With clear explanations and rigorous proofs, this book is an essential resource for anyone interested in the foundations of mathematical analysis.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 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.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.
