Continuous Optimization for Data Science
The text is divided into three main parts: unconstrained optimization, constrained optimization, and linear programming. The first part addresses unconstrained optimization in single-variable and multivariable functions, introducing key algorithms such as steepest descent, Newton, and quasi-Newton methods.The second part focuses on constrained optimization, starting with linear equality constraints and extending to more general cases, including inequality constraints. It details optimality conditions, sensitivity analysis, and relevant algorithms for solving these problems.The third part covers linear programming, presenting the formulation of LP problems, the simplex algorithm, and sensitivity analysis. Throughout, the text provides numerous applications to data science, such as linear regression, maximum likelihood estimation, expectation-maximization algorithms, support vector machines, and linear neural networks.
Calculus
Unlock the mysteries of Calculus with a fresh approach rooted in simplicity and historical insight. This book reintroduces a nearly forgotten idea from Ren矇 Descartes (1596-1650), showing how the fundamental concepts of Calculus can be understood using just basic algebra. Starting with rational functions -- the core of early Calculus -- this method allows the reader to grasp the rules for derivatives without the intimidating concepts of limits or real numbers, making the subject more accessible than ever.But the journey doesn't stop there. While attempting to apply this algebraic approach to exponential functions, the reader will encounter the limitations of simple methods, revealing the necessity for more advanced mathematical tools. This natural progression leads to the discovery of continuity, the approximation process, and ultimately, the introduction of real numbers and limits. These deeper concepts pave the way for understanding differentiable functions, seamlessly bridging the gap between elementary algebra and the profound ideas that underpin Calculus.Whether you're a student, educator, or math enthusiast, this book offers a unique pathway to mastering Calculus. By connecting historical context with modern mathematical practice, it provides a richer, more motivating learning experience. For those looking to dive even deeper, the author's 2015 book, What is Calculus? From Simple Algebra to Deep Analysis, is the perfect next step.
Application of the Bayesian Method in Statistical Modeling
Bayesian statistics is a theory in the field of statistics based on the Bayesian interpretation of probability, where probability expresses a degree of belief in an event. Bayesian statistical methods use Bayes' theorem to compute and update probabilities after obtaining new data. Named after Thomas Bayes, Bayes' theorem (1973) describes the conditional probability of an event based on data, as well as prior information or beliefs about the event or conditions related to the event. This approach differs from other interpretations of probability, such as the frequentist interpretation, which views probability as the limit of the relative frequency of an event after many trials. During much of the 20th century, many statisticians viewed Bayesian methods unfavorably due primarily to practical considerations. Bayesian methods required much computation to complete, and the most widely used methods during the previous century relied on frequentist interpretation. However, with the advent of powerful computers and new algorithms, such as Markov chain Monte Carlo, Bayesian methods have seen increasing use within statistics in the 21st century. This Special Issue will raise awareness of the availability and applicability of Bayesian analyses. It includes a collection of theoretical and applied studies using Bayesian statistics and provides information on statistical software that allows the use of Bayesian estimation methods.
Calculus
Unlock the mysteries of Calculus with a fresh approach rooted in simplicity and historical insight. This book reintroduces a nearly forgotten idea from Ren矇 Descartes (1596-1650), showing how the fundamental concepts of Calculus can be understood using just basic algebra. Starting with rational functions -- the core of early Calculus -- this method allows the reader to grasp the rules for derivatives without the intimidating concepts of limits or real numbers, making the subject more accessible than ever.But the journey doesn't stop there. While attempting to apply this algebraic approach to exponential functions, the reader will encounter the limitations of simple methods, revealing the necessity for more advanced mathematical tools. This natural progression leads to the discovery of continuity, the approximation process, and ultimately, the introduction of real numbers and limits. These deeper concepts pave the way for understanding differentiable functions, seamlessly bridging the gap between elementary algebra and the profound ideas that underpin Calculus.Whether you're a student, educator, or math enthusiast, this book offers a unique pathway to mastering Calculus. By connecting historical context with modern mathematical practice, it provides a richer, more motivating learning experience. For those looking to dive even deeper, the author's 2015 book, What is Calculus? From Simple Algebra to Deep Analysis, is the perfect next step.
Continuous Optimization for Data Science
The text is divided into three main parts: unconstrained optimization, constrained optimization, and linear programming. The first part addresses unconstrained optimization in single-variable and multivariable functions, introducing key algorithms such as steepest descent, Newton, and quasi-Newton methods.The second part focuses on constrained optimization, starting with linear equality constraints and extending to more general cases, including inequality constraints. It details optimality conditions, sensitivity analysis, and relevant algorithms for solving these problems.The third part covers linear programming, presenting the formulation of LP problems, the simplex algorithm, and sensitivity analysis. Throughout, the text provides numerous applications to data science, such as linear regression, maximum likelihood estimation, expectation-maximization algorithms, support vector machines, and linear neural networks.
Foundations of Mathematical Analysis for Statistics
Mathematical analysis forms the rigorous backbone of modern statistics, enabling a precise understanding of continuity, differentiability, integration, and convergence, all of which are central to probability theory, inference, stochastic processes, and machine learning. As the boundaries between pure mathematics and statistical applications continue to dissolve, a solid foundation in analysis becomes not just desirable but indispensable for serious students of statistics. This book, Foundations of Mathematical Analysis for Statistics, is the result of years of teaching and research, distilled into a coherent and structured resource intended for graduate and advanced undergraduate students in statistics, mathematics, and allied disciplines. It bridges classical real and complex analysis with the analytical tools used in contemporary statistical theory and modeling.
Mastering Data Science with R and SAS
The second edition of Mastering Data Science with R and SAS: From Foundations to Advanced Statistical Modeling offers an expanded and updated roadmap for mastering modern data analysis using R and SAS. Building on the solid foundation of the first edition, this version dives deeper into advanced statistical modeling techniques, including multivariate regression, generalized linear models (GLMs), longitudinal data analysis, principal component analysis (PCA), and factor analysis.Enhanced chapters on R provide improved guidance on the RStudio environment, programming workflows, debugging, and troubleshooting, enabling readers to write more efficient and reliable code. The coverage of SAS software has been significantly broadened to include advanced data manipulation, statistical inference, error handling, and practical lab exercises designed to develop real-world problem-solving skills.Rich with practical examples, hands-on exercises, and comprehensive explanations, this edition is designed to meet the evolving needs of students, researchers, and data professionals. Whether you are new to data science or looking to deepen your expertise, this book equips you with the essential tools.
Fuzzy Bi-Ideals of Gamma Near-Ring
I am very pleased to submit this book. In this book contains T -Fuzzy Bi-ideals of Gamma Near-rings, Spherical Fuzzy Bi-ideals of Gamma Near-rings, Spherical Interval-valued Fuzzy Bi-ideals ofGamma Near-rings, Spherical Cubic Bi-ideals of Gamma Near-rings, Double Framed Soft Fuzzy Bi-ideal of GammaNear-rings, Bipolar Fuzzy Bi-ideals of Gamma Near-rings, Conclusion. The concept of fuzziness as described by L.A. Zadeh in 1965 includes imprecision, uncertainty and degree of truthfulness of values. A fuzzy set is a class of objects with a continuum of grades of membership. Such a set is characterized by a membership function which assigns to each object a grade of membership ranging between zero and one. A fuzzy set in a universe of discourse X is a function of the form: X → [0, 1]. Membership functions characterize fuzziness (i.e., all the information in fuzzy set), whether the elements in fuzzy sets are discrete or continuous. Membership functions can be defined as a technique to solve practical problems by experience rather than knowledge. Membership functions are represented by graphical forms. Rules for defining fuzziness are fuzzy too.
Numerical Methods for Statistical Computation
Numerical Methods for Statistical Computation: Theory, Algorithms, and Applications bridges numerical analysis with modern statistics, offering a unified treatment of root-finding, linear systems, interpolation, integration, differential equations, and optimization all within a statistical framework. Through detailed theory, worked examples, and real applications, the book equips readers to solve complex statistical problems numerically. Designed for advanced undergraduates, graduate students, and researchers in statistics and data science, it emphasizes both algorithmic understanding and statistical insight. With a strong pedagogical structure and extensive example sets, this book serves as a comprehensive resource for statistical computation in theory and practice.
Advanced Statistical Methods in Life Science
This book introduces the principles and foundations of advanced statistical methods for designing experiments and testing hypotheses in life sciences. Advanced statistical methods, such as testing of hypotheses, recent methods of sample size determination/imputation, estimation techniques, probability distributions, and univariate analysis demonstrated with real data, and their integration into life sciences are included in this book. Advanced topics are presented with sufficient conceptual depth and examples to explain the use of recent statistical techniques and to demonstrate what conclusions can be drawn at the right time using modeling in life science research.Key features: Explains the derivation of statistical models to prove disease transmission using massive real-world datasets to explore practical applicability Incorporates the application of innovative advanced statistical and epidemiological models and demonstrates the possible solutions for public health policy intervention Helps to understand the process of hypothesis testing in small or larger observations by using weighted parameters Presents suitable examples and real-life research datasets, and all models can easily be followed in formulating statistical and mathematical derivations and key points Includes machine learning (ML), statistical methods for meta-analysis, testing of hypotheses, methods of imputation, estimation techniques, probability distributions, univariate analysis, and recent nonparametric methods, all illustrated through actual data This textbook is for students and scholars of various courses in life sciences, medicine, mathematics, and statistical science. It will also help academicians and researchers to understand the foundation of this topic.
Quantum Unmanned Aerial Vehicle
This book is intended for a technical audience with advanced learning and in-depth analysis of the latest real-world developments in the field of quantum computing. The book is focused on modeling emerging drone-based applications. The methods of developing faster drive with the new trending technology of quantum genetic heuristics, artificial intelligence, and machine-based applications are discussed. Researchers will find novel ways to secure the data and Quantum drone networks. The book examines the most promising exploratory quantum-computed drone that optimizes, secures, and dynamically analyses various sectors, including healthcare, the educational industry, finance, transportation, and manufacturing.
Advanced Engineering Mathematics
This book provides a comprehensive foundation in essential mathematical methods used in engineering and applied sciences. It bridges theory with practical applications by covering topics such as differential equations, vector calculus, Fourier analysis, and PDEs. Each chapter includes step-by-step explanations, solved problems, and practice exercises designed to build analytical thinking and problem-solving skills. Emphasis is placed on real-world engineering systems, making it an ideal guide for students, educators, and professionals.
The Language of Machines
Introduction to LLMs offers a clear and comprehensive overview of Large Language Models, capturing their historical development, technological foundations, and transformative impact across various sectors such as healthcare, education, software development, and creative industries. This book is tailored to both newcomers and experienced professionals, guiding readers through the evolution, architecture, applications, and ethical dimensions of LLMs.Structured to progressively build understanding, the chapters explore key aspects-from the origins of language modeling and recent breakthroughs to the societal challenges and responsibilities tied to AI use. By combining theoretical depth with practical insights and real-world case studies, the book strikes a balance between accessibility and rigor.Whether used as a foundational text or a reference for advanced exploration, Introduction to LLMs equips readers with the knowledge and critical perspective needed to engage with one of the most transformative technologies of our time.
Mathematics for Machine Learning and AI
Mathematics for Machine Learning and AI provides a foundational and practical understanding of the core mathematical concepts that underpin modern artificial intelligence systems. It covers essential topics such as linear algebra, calculus, probability theory, statistics, optimization, and discrete mathematics, all tailored to their applications in machine learning and AI. This book bridges the gap between mathematical theory and practical implementation, making complex topics accessible through clear explanations, real-world examples, and hands-on problem-solving. Readers will learn how eigenvalues, gradients, probability distributions, and optimization algorithms drive intelligent systems-from neural networks and decision trees to deep learning and reinforcement learning. Designed for students, educators, and professionals, the book balances theoretical rigor with intuitive insights, offering both the mathematical depth and applied knowledge needed to excel in the evolving fields of data science, AI, and machine learning.
Mathematical Optimization Theory and Operations Research
This book LNCS 15681 constitutes the refereed proceedings of the 24th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2025, held in Novosibirsk, Russia, during July 7-11, 2025. The 27 full papers were carefully reviewed and selected from 72 submissions. The proceeding focus on Mathematical Programming; Optimal Control; Game Theory; Operations Research and Applications; Machine Learning and Optimization.
Linear Algebra
This book presents algebra in a concise and clear way, allowing beginner students to quickly attain the required proficiency. As to opposed to existing books on the subject that cover too many topics, some of which are too complex and intimidating for a first course in linear algebra, this book only presents the essential topics in a more user-friendly manner. The author includes an optimized order of topics that are adapted to the learning patterns of students. In addition, carefully designed examples are presented to enhance reader confidence to master the material and to avoid frequently observed frustration. This textbook is ideal for a one semester course on basic linear algebra for college students majoring in mathematics, engineering, and other sciences.
Summer Math Challenge
This workbook contains 91 printable math pages to help your students finish out the year and get ready for next year. Each page contains high-interest images and unique approaches to traditional geometry and arithmetic. Page titles: How good are you with numbers, Sequence, What is missing, Putting things in order, Tic-Tac-Toe, Match the arrays, Missing numbers, Area and Perimeter, Find the errors, How many cubes, Drawing triangles, Estimating coins, Comparing animals, Idiom hangman, Identifying circles, How many triangles, Polygons, Comparing differences, How many rectangles, Putting products in order, Identifying triangles, Comparing sums, How many circles, Estimating with odd numbers, What is the same...different, Multiples, and more...If you are looking for a unique approach to Common Core Standards, then this workbook is what you want. If you want more activities for the summer, then take a look at these summer workbooks: Summer Math Challenge: Third gradeSummer Math Challenge: Fourth gradeSummer Math Challenge: Fifth gradeSummer: Increasing NUMBER PowerSummer: Increasing WORD PowerSummer Critical Thinking Challenges (5th Grade) Summer Critical Thinking Challenges (6th Grade) Summer Critical Thinking Challenges (7th Grade) Summer Critical Thinking Challenges (8th Grade) Summer Fun with BrainteasersSummer Fun with Compound WordsSummer Fun with ElephantsSummer Fun with GeometrySummer Fun with MonkeysSummer Fun with MultiplicationSummer Fun with WordsSummer Fun Writing Personal LettersSummer Math - FractionsSummer Wildlife Writing: 75 Writing Prompts to Engage the Mind about WildlifeSummer Workbook: Third gradeSummer Workbook: Fourth gradeSummer Workbook: Fifth gradeSummer Writing - 4th gradeSummer Writing - 5th gradeSummer Writing - 150 Writing PromptsSummer Math and Writing: Third GradeSummer Math and Writing: Fourth Grade
Multiply and Divide within 100
This workbook contains 45 printable pages to help your students multiply and divide within 100: Putting numbers in order (4 pages)Missing numbers (3 pages)Match the arrays (3 pages)Create your own arrays (2 pages)Polygons and multiplication (4 pages)Putting products in order (3 pages)Least or Greatest (3 pages)Counting the corners/vertices (1 page)Counting the edges (1 page)Multiplication Tic-Tac-Toe (5 pages)Explain the math using words (3 pages)Multiples (1 page)Practice, Practice, Practice (12 pages)Common Core Standard: Math.3.OA.C.7If your students like math challenges, then this workbook is what you need. And, if you are interested in more multiplication activities, then take a look at these other workbooks available at Amazon: Multiply and Divide within 100Multiplication and DivisionMultiplication Chart MadnessMultiplication Tic-Tac-ToeMultiplication Mastery: Multi-digit Multiplication WorkbookFirst Day of School: Multiplication and Division GamesSummer Fun with MultiplicationHalloween Multiplication and DivisionInsect MultiplicationMoney, Measuring and MultiplicationDomino Multiplication: a workbook to practice your times tables
Lean Management In Aircraft Industry
In the recent years practitioners and researchers have paid lot of attention towards lean manufacturing. Lean manufacturing practices, principles, tools and benefits to service as well as manufacturing organizations are well documented in the extant literature. Although numerous articles dealing with the concept and implication of lean manufacturing has been published inleading journals all over the world but the fact is that only few organizations have been successful in implementing lean manufacturing in totality to reduce the expected total cost and carried out a significant improvement in the their performance similar to that of Toyota Motor Corporation (TMC). Maximum of the success stories of lean implementation belongs to developed countries and lean implementation in totality is hardly evidenced in Indian Aircraft industry but Indian industries have a lot of scope for lean implementation. In this research an attempt has been made to explore cost benefits with supply chain. Also lean implementation, supplier's issues, lean tools, various waste identified, performance parameters and investment priorities for lean implementation in Indian scenario have been studied.
Enhancing LLM Performance
This book is a pioneering exploration of the state-of-the-art techniques that drive large language models (LLMs) toward greater efficiency and scalability. Edited by three distinguished experts--Peyman Passban, Mehdi Rezagholizadeh, and Andy Way--this book presents practical solutions to the growing challenges of training and deploying these massive models. With their combined experience across academia, research, and industry, the authors provide insights into the tools and strategies required to improve LLM performance while reducing computational demands. This book is more than just a technical guide; it bridges the gap between research and real-world applications. Each chapter presents cutting-edge advancements in inference optimization, model architecture, and fine-tuning techniques, all designed to enhance the usability of LLMs in diverse sectors. Readers will find extensive discussions on the practical aspects of implementing and deploying LLMs in real-world scenarios. The book serves as a comprehensive resource for researchers and industry professionals, offering a balanced blend of in-depth technical insights and practical, hands-on guidance. It is a go-to reference book for students, researchers in computer science and relevant sub-branches, including machine learning, computational linguistics, and more.
Convexity from the Geometric Point of View: Exercises and Solutions
Solved problems on Markov chains
Markov chains have many applications, ranging from modeling communication networks to analyzing stock prices, Markov chains can be used in market research studies, they can model the probabilities of claims for insurance, they are used in the fields of public health and medicine, also they are used in ranking of websites in web searches. In general, Markov chains are particularly useful in modeling systems that have a finite number of states and transitions between those states and can be used to analyze and predict the long-term behavior of such systems.Most books on Markov chains are dedicated to reviewing theoretical concepts. The objective of this work is to make available to students and teachers a collection of solved problems on discrete-time Markov chains. In this sense, the work consists of solving 74 problems of different types. In them are obtained the transition probabilities and the transition matrix, the state spaces and the classes of those states, the n-step transition probabilities, the recurrence and transience, the invariant distributions, the mean return time and the convergence to equilibrium.
Hypercomplex Analysis and Its Applications
This book contains a collection of short papers based on the presentations given at the international conference on Hypercomplex Analysis and its Applications celebrating Paula Cerejeiras' 60th birthday. These papers present the latest results as well as overviews on specific topics in the areas of hypercomplex and harmonic analysis as well as their connections with partial differential equations and spectral theory.
![Key to Exercises in Euclid [Book 1-6 and Parts of Book 11,12]](https://cdn.kingstone.com.tw/english/images/product/3478/9781023913478m.webp?Q=d8b08 "Key to Exercises in Euclid [Book 1-6 and Parts of Book 11,12]")
Key to Exercises in Euclid [Book 1-6 and Parts of Book 11,12]
This book provides the solutions and answers to the exercises found in Isaac Todhunter's edition of Euclid's Elements. Covering Books 1-6 and parts of Books 11 and 12, this key is designed to assist students and educators in mastering Euclidean geometry. It offers step-by-step solutions and explanations, making it an invaluable resource for self-study or classroom use.Originally intended to complement the textbook, this key enhances understanding of geometric principles and cultivates problem-solving skills. "Key to Exercises in Euclid" is essential for anyone seeking a deeper engagement with classical geometry and its applications. It remains relevant for modern students and teachers alike due to the enduring importance of Euclidean geometry in 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.
Exercises in Algebra to Simple Equations Inclusive
"Exercises in Algebra to Simple Equations Inclusive" by William Allen Whitworth offers a comprehensive collection of algebraic problems designed to enhance understanding and proficiency. Originally published in 1875, this book provides a structured approach to learning algebra, focusing on fundamental concepts and equation-solving techniques. Designed as a resource for students and educators alike, this book offers a progressive set of exercises that build from basic principles to more complex applications. Its enduring relevance makes it a valuable addition to any mathematics library, offering insights into historical teaching methods and a solid foundation in algebra. Perfect for self-study or classroom use, this book remains a testament to the timeless principles of algebraic 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.
The Football
An illustration-packed dive into the geometry, engineering, and physics of soccer balls The Football takes readers on an entertaining and fact-filled exploration of the mathematical secrets of the most popular spherical object on the planet. The football is familiar to billions of fans across the globe, but how many really look at it? Do footballs all have the same shape? Spoiler: not exactly. How does their shape affect how they play? With ?tienne Ghys as our guide, we discover why ballistics, friction, and air flow are key to scoring goals--and why the football is a mathematical problem that engineers are still trying to solve. Ghys begins with the classic Telstar ball used in the 1970 World Cup in Mexico. Its twelve black pentagons and twenty white hexagons are what most of us picture when we think of the sport. Following the story through successive World Cups, he shows how engineers constantly challenge themselves to reinvent the ball, aiming for a perfect sphere while accounting for manufacturing requirements and aerodynamics. Along the way, Ghys introduces us to the mathematics of Platonic solids, symmetries, polyhedra, turbulence, roughness, drag, and spin. He paints engaging portraits of the engineers and sports insiders who study and apply these phenomena and explains how the skills of players factor into how the ball behaves, whether the game is being played in stadiums, schoolyards, or backyards. Featuring a wealth of color illustrations, The Football blends a lively narrative with insights from a world-renowned geometer to tell a mathematical story unlike any other.
G?(c)om?(c)trie Analytique, Ou, Application De L’alg癡bre ?€ La G?(c)om?(c)trie
"G矇om矇trie Analytique, Ou, Application De L'alg癡bre ? La G矇om矇trie" by Jean-Guillaume Garnier, originally published in 1813, explores the application of algebra to geometry. This historical text provides insights into the development of analytic geometry and showcases the mathematical techniques of the early 19th century. Garnier's work offers a detailed exposition of the principles connecting algebraic equations with geometric forms, making it a valuable resource for understanding the foundations of modern mathematical analysis. This edition retains the original language and notation, preserving its historical authenticity and making it an essential addition to the libraries of mathematicians, historians of science, and anyone interested in the evolution of mathematical thought.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 Practical Treatise On Arithmetic
"A Practical Treatise On Arithmetic" by George Leonard, originally published in 1839, offers a comprehensive system for understanding arithmetic principles. This treatise distinguishes itself by explaining each concept in a simple and accessible manner, making it ideal for students and educators alike. Beyond basic calculations, the book includes a detailed description of bookkeeping practices, providing practical applications for the arithmetic principles discussed. This combination of theoretical knowledge and practical skills makes it a valuable resource for anyone seeking a solid foundation in mathematics and financial record-keeping. Its historical context also provides insight into 19th-century educational methods.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.
G?(c)om?(c)trie Analytique, Ou, Application De L’alg癡bre ?€ La G?(c)om?(c)trie
"G矇om矇trie Analytique, Ou, Application De L'alg癡bre ? La G矇om矇trie" by Jean-Guillaume Garnier, originally published in 1813, explores the application of algebra to geometry. This historical text provides insights into the development of analytic geometry and showcases the mathematical techniques of the early 19th century. Garnier's work offers a detailed exposition of the principles connecting algebraic equations with geometric forms, making it a valuable resource for understanding the foundations of modern mathematical analysis. This edition retains the original language and notation, preserving its historical authenticity and making it an essential addition to the libraries of mathematicians, historians of science, and anyone interested in the evolution of mathematical thought.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.
Functional Phase Space Methods
This book focuses on functional phase space methods in quantum optics and provides a comprehensive introduction to the Wigner functional formalism. The book shows how this formalism can be used for analyzing and designing practical photonic quantum information systems. It also explains in detail the application of the Wigner functional formalism to parametric down-conversion, an important process in quantum optics.
Point-Set Topology with Topics
This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. However, many parts of this book present topological concepts that apply directly to functional analysis, which will be of interest to scholars working in those fields.In Part I, readers are eased into the main subject matter of general topology, being presented with summaries of normed vector spaces and metric spaces. Parts II to VI form the core material contained in most Basic General Topology courses. After having worked through the most fundamental concepts of topology, the reader will be exposed to brief introductions to more specialized or advanced topics of pointset topology. These are presented in Part VII in the form of a sequence of chapters, many of which can be read or studied independently or in short sequences of two or three chapters, provided that the student has mastered the previous sections.Chapters related to the more basic ideas of general topology are followed by a collection of 'concept review' questions, the answers to which are found in the main body of the text. These questions highlight the main concepts presented in that chapter, as well as ideas that are often overlooked when first encountered, which will help to test the students' understanding. The efforts required in answering correctly such questions will provide the student with the ability to solve more complex problems in the exercises collected at the end of each section.
Applied Analysis (3rd Ed)
This book is to be a new edition of Applied Analysis. Several fundamental materials of applied and theoretical sciences are added, which are needed by the current society, as well as recent developments in pure and applied mathematics. New materials in the basic level are the mathematical modelling using ODEs in applied sciences, elements in Riemann geometry in accordance with tensor analysis used in continuum mechanics, combining engineering and modern mathematics, detailed description of optimization, and real analysis used in the recent study of PDEs. Those in the advance level are the integration of ODEs, inverse Strum Liouville problems, interface vanishing of the Maxwell system, method of gradient inequality, diffusion geometry, mathematical oncology. Several descriptions on the analysis of Smoluchowski-Poisson equation in two space dimension are corrected and extended, to ensure quantized blowup mechanism of this model, particularly, the residual vanishing both in blowup solution in finite time with possible collision of sub-collapses and blowup solutions in infinite time without it.
Natural Geometry
"Natural Geometry: An Introduction To The Logical Study Of Mathematics" by A. Mault offers a comprehensive approach to understanding geometry, tailored for students in schools and technical classes. This book emphasizes a logical and intuitive understanding of mathematical principles, making it an invaluable resource for both students and educators.Based upon the tachymetrical works of Edouard Lagout, this volume incorporates explanatory models to aid comprehension and practical application. It aims to provide a solid foundation in geometry, essential for further studies in mathematics and related fields. Its enduring value lies in its clear, structured approach to a subject that forms the bedrock of scientific and technical knowledge.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.
Grand Discovery. Demonstration Of The True Circumference, With The Exact Area And Quadrature Of The Circle
"Grand Discovery" presents a geometrician's demonstration of the true circumference, exact area, and quadrature of the circle. This historical work offers insights into mathematical thought and methods. It will be of interest to those studying the history of mathematics, geometry, and related disciplines. This book provides a detailed exploration of these fundamental concepts.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.
Intermediate Mathematics
"Intermediate Mathematics: A Guide To The Mathematics Of The Intermediate Examinations In Arts And Science Of The University Of London" is a comprehensive resource designed to prepare students for intermediate-level mathematics examinations. Authored by William Briggs, this book aims to provide clear explanations and thorough coverage of the essential topics. Originally published as part of the 5th thousand print run, this edition continues to serve as a valuable study aid for students pursuing degrees in arts and science at the University of London. The text covers a range of mathematical concepts necessary for success in these examinations, offering detailed guidance and practice examples to enhance understanding and proficiency. This book remains relevant for those seeking a solid foundation in intermediate mathematics.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.
Practical Trigonometry and Geometry
Mathematics is one of the most crucial subjects to master, transcending boundaries of nationality, age and gender. It is an intriguing discipline that has dramatically transformed our world and sparked extraordinary innovations that extend far beyond our planet.I developed this book based on my experiences and time spent in construction and civil engineering. It is intended for readers of all ages, from 10 to 12 years old, as well as adults. The goal of this book is to encourage and enhance their skills in mathematics.Mathematics is a fascinating subjects that can significantly impact your future prospects. Mastering maths will be beneficial in a variety of career paths. Opportunities abound in fields such as: ​​​​​​​ Construction, Civil & Structural Engineering. Mechanical EngineeringElectrical Engineering AerospaceAccountancy & Programming. These are just a few examples; the possibilities are endless.Your dedication and inspiration can take you to great heights in your career. Even using maths as a hobby can be incredibly rewarding. Don't let this book pass you by; let it help you start your journey and enjoy every part of the subject the possibilities are endless regarding your ambitions.
Table of the Logarithms of the Complete -function (for Arguments 2 to 1200, i.e. Beyond Legendre's Range)
"Table of the Logarithms of the Complete -function" by E.S. Pearson presents an extensive collection of logarithmic values for the gamma function. Covering arguments from 2 to 1200, this volume expands significantly beyond the range provided by Legendre. A valuable resource for mathematicians, statisticians, and scientists, this detailed table facilitates precise calculations involving the gamma function, crucial in various fields. This work stands as a testament to the meticulous computation and dedication of its author, providing a practical tool for advanced mathematical analysis and research.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.
Freshman Mathematics
"Freshman Mathematics: An Instruction And Reference Book In The Principles And Methods Of Computation, Trigonometry, Applied Algebra, And Coordinate Geometry" by William Richard Ransom is a comprehensive guide designed for students embarking on their mathematical journey. This book provides a solid foundation in essential mathematical principles, covering a range of topics from basic computation to more advanced concepts in trigonometry, algebra, and coordinate geometry. Intended as both a textbook and a reference, it offers clear explanations and practical methods to aid students in mastering these fundamental areas of mathematics. It is an invaluable resource for anyone seeking to build a strong understanding of mathematical principles.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.
Table of the Logarithms of the Complete -function (for Arguments 2 to 1200, i.e. Beyond Legendre's Range)
"Table of the Logarithms of the Complete -function" by E.S. Pearson presents an extensive collection of logarithmic values for the gamma function. Covering arguments from 2 to 1200, this volume expands significantly beyond the range provided by Legendre. A valuable resource for mathematicians, statisticians, and scientists, this detailed table facilitates precise calculations involving the gamma function, crucial in various fields. This work stands as a testament to the meticulous computation and dedication of its author, providing a practical tool for advanced mathematical analysis and research.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.
