Foundations Of Applied Mathematics

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Foundations of Applied Mathematics, Volume I

Author : Jeffrey Humpherys
Publisher : SIAM
ISBN 13 : 1611974895
Total Pages : 710 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Foundations of Applied Mathematics, Volume I by : Jeffrey Humpherys

Download or read book Foundations of Applied Mathematics, Volume I written by Jeffrey Humpherys and published by SIAM. This book was released on 2017-07-07 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the essential foundations of both linear and nonlinear analysis necessary for understanding and working in twenty-first century applied and computational mathematics. In addition to the standard topics, this text includes several key concepts of modern applied mathematical analysis that should be, but are not typically, included in advanced undergraduate and beginning graduate mathematics curricula. This material is the introductory foundation upon which algorithm analysis, optimization, probability, statistics, differential equations, machine learning, and control theory are built. When used in concert with the free supplemental lab materials, this text teaches students both the theory and the computational practice of modern mathematical analysis. Foundations of Applied Mathematics, Volume 1: Mathematical Analysis includes several key topics not usually treated in courses at this level, such as uniform contraction mappings, the continuous linear extension theorem, Daniell?Lebesgue integration, resolvents, spectral resolution theory, and pseudospectra. Ideas are developed in a mathematically rigorous way and students are provided with powerful tools and beautiful ideas that yield a number of nice proofs, all of which contribute to a deep understanding of advanced analysis and linear algebra. Carefully thought out exercises and examples are built on each other to reinforce and retain concepts and ideas and to achieve greater depth. Associated lab materials are available that expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?

Foundations of Applied Mathematics

Author : Michael D. Greenberg
Publisher : Courier Corporation
ISBN 13 : 0486492796
Total Pages : 660 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Foundations of Applied Mathematics by : Michael D. Greenberg

Download or read book Foundations of Applied Mathematics written by Michael D. Greenberg and published by Courier Corporation. This book was released on 2013-01-01 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A longtime classic text in applied mathematics, this volume also serves as a reference for undergraduate and graduate students of engineering. Topics include real variable theory, complex variables, linear analysis, partial and ordinary differential equations, and other subjects. Answers to selected exercises are provided, along with Fourier and Laplace transformation tables and useful formulas. 1978 edition"--

Foundations of Applied Mathematics, Volume 2

Author : Jeffrey Humpherys
Publisher : SIAM
ISBN 13 : 1611976065
Total Pages : 807 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Foundations of Applied Mathematics, Volume 2 by : Jeffrey Humpherys

Download or read book Foundations of Applied Mathematics, Volume 2 written by Jeffrey Humpherys and published by SIAM. This book was released on 2020-03-10 with total page 807 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this second book of what will be a four-volume series, the authors present, in a mathematically rigorous way, the essential foundations of both the theory and practice of algorithms, approximation, and optimization—essential topics in modern applied and computational mathematics. This material is the introductory framework upon which algorithm analysis, optimization, probability, statistics, machine learning, and control theory are built. This text gives a unified treatment of several topics that do not usually appear together: the theory and analysis of algorithms for mathematicians and data science students; probability and its applications; the theory and applications of approximation, including Fourier series, wavelets, and polynomial approximation; and the theory and practice of optimization, including dynamic optimization. When used in concert with the free supplemental lab materials, Foundations of Applied Mathematics, Volume 2: Algorithms, Approximation, Optimization teaches not only the theory but also the computational practice of modern mathematical methods. Exercises and examples build upon each other in a way that continually reinforces previous ideas, allowing students to retain learned concepts while achieving a greater depth. The mathematically rigorous lab content guides students to technical proficiency and answers the age-old question “When am I going to use this?” This textbook is geared toward advanced undergraduate and beginning graduate students in mathematics, data science, and machine learning.

Introduction to the Foundations of Applied Mathematics

Author : Mark H. Holmes
Publisher : Springer Science & Business Media
ISBN 13 : 0387877657
Total Pages : 477 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Introduction to the Foundations of Applied Mathematics by : Mark H. Holmes

Download or read book Introduction to the Foundations of Applied Mathematics written by Mark H. Holmes and published by Springer Science & Business Media. This book was released on 2009-06-18 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: FOAM. This acronym has been used for over ?fty years at Rensselaer to designate an upper-division course entitled, Foundations of Applied Ma- ematics. This course was started by George Handelman in 1956, when he came to Rensselaer from the Carnegie Institute of Technology. His objective was to closely integrate mathematical and physical reasoning, and in the p- cess enable students to obtain a qualitative understanding of the world we live in. FOAM was soon taken over by a young faculty member, Lee Segel. About this time a similar course, Introduction to Applied Mathematics, was introduced by Chia-Ch’iao Lin at the Massachusetts Institute of Technology. Together Lin and Segel, with help from Handelman, produced one of the landmark textbooks in applied mathematics, Mathematics Applied to - terministic Problems in the Natural Sciences. This was originally published in 1974, and republished in 1988 by the Society for Industrial and Applied Mathematics, in their Classics Series. This textbook comes from the author teaching FOAM over the last few years. In this sense, it is an updated version of the Lin and Segel textbook.

Mathematical Foundations of Neuroscience

Author : G. Bard Ermentrout
Publisher : Springer Science & Business Media
ISBN 13 : 0387877088
Total Pages : 434 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Mathematical Foundations of Neuroscience by : G. Bard Ermentrout

Download or read book Mathematical Foundations of Neuroscience written by G. Bard Ermentrout and published by Springer Science & Business Media. This book was released on 2010-07-01 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book applies methods from nonlinear dynamics to problems in neuroscience. It uses modern mathematical approaches to understand patterns of neuronal activity seen in experiments and models of neuronal behavior. The intended audience is researchers interested in applying mathematics to important problems in neuroscience, and neuroscientists who would like to understand how to create models, as well as the mathematical and computational methods for analyzing them. The authors take a very broad approach and use many different methods to solve and understand complex models of neurons and circuits. They explain and combine numerical, analytical, dynamical systems and perturbation methods to produce a modern approach to the types of model equations that arise in neuroscience. There are extensive chapters on the role of noise, multiple time scales and spatial interactions in generating complex activity patterns found in experiments. The early chapters require little more than basic calculus and some elementary differential equations and can form the core of a computational neuroscience course. Later chapters can be used as a basis for a graduate class and as a source for current research in mathematical neuroscience. The book contains a large number of illustrations, chapter summaries and hundreds of exercises which are motivated by issues that arise in biology, and involve both computation and analysis. Bard Ermentrout is Professor of Computational Biology and Professor of Mathematics at the University of Pittsburgh. David Terman is Professor of Mathematics at the Ohio State University.

Principles and Techniques of Applied Mathematics

Author : Bernard Friedman
Publisher : Courier Dover Publications
ISBN 13 : 0486664449
Total Pages : 338 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Principles and Techniques of Applied Mathematics by : Bernard Friedman

Download or read book Principles and Techniques of Applied Mathematics written by Bernard Friedman and published by Courier Dover Publications. This book was released on 1990-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating, thought-provoking study shows how abstract methods of pure mathematics can be used to systematize problem-solving techniques in applied mathematics. Topics include methods for solving integral equations, finding Green’s function for ordinary or partial differential equations, and for finding the spectral representation of ordinary differential operators.

Foundations of Analysis

Author : Joseph L. Taylor
Publisher : American Mathematical Soc.
ISBN 13 : 0821889842
Total Pages : 411 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Foundations of Analysis by : Joseph L. Taylor

Download or read book Foundations of Analysis written by Joseph L. Taylor and published by American Mathematical Soc.. This book was released on 2012 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Analysis has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum. The second is to present a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system. The presentation is both thorough and concise, with simple, straightforward explanations. The exercises differ widely in level of abstraction and level of difficulty. They vary from the simple to the quite difficult and from the computational to the theoretical. Each section contains a number of examples designed to illustrate the material in the section and to teach students how to approach the exercises for that section. --Book cover.

Applied Mathematics for Engineers and Physicists

Author : Louis A. Pipes
Publisher : Courier Corporation
ISBN 13 : 0486794997
Total Pages : 1043 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Applied Mathematics for Engineers and Physicists by : Louis A. Pipes

Download or read book Applied Mathematics for Engineers and Physicists written by Louis A. Pipes and published by Courier Corporation. This book was released on 2014-06-10 with total page 1043 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced courses in applied mathematics, this text covers analysis of lumped parameter systems, distributed parameter systems, and important areas of applied mathematics. Answers to selected problems. 1970 edition.

Foundations of Discrete Mathematics

Author : K. D. Joshi
Publisher : New Age International
ISBN 13 : 9788122401202
Total Pages : 768 pages
Book Rating : 4.4/5 (12 download)

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Book Synopsis Foundations of Discrete Mathematics by : K. D. Joshi

Download or read book Foundations of Discrete Mathematics written by K. D. Joshi and published by New Age International. This book was released on 1989 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book Is Meant To Be More Than Just A Text In Discrete Mathematics. It Is A Forerunner Of Another Book Applied Discrete Structures By The Same Author. The Ultimate Goal Of The Two Books Are To Make A Strong Case For The Inclusion Of Discrete Mathematics In The Undergraduate Curricula Of Mathematics By Creating A Sequence Of Courses In Discrete Mathematics Parallel To The Traditional Sequence Of Calculus-Based Courses.The Present Book Covers The Foundations Of Discrete Mathematics In Seven Chapters. It Lays A Heavy Emphasis On Motivation And Attempts Clarity Without Sacrificing Rigour. A List Of Typical Problems Is Given In The First Chapter. These Problems Are Used Throughout The Book To Motivate Various Concepts. A Review Of Logic Is Included To Gear The Reader Into A Proper Frame Of Mind. The Basic Counting Techniques Are Covered In Chapters 2 And 7. Those In Chapter 2 Are Elementary. But They Are Intentionally Covered In A Formal Manner So As To Acquaint The Reader With The Traditional Definition-Theorem-Proof Pattern Of Mathematics. Chapters 3 Introduces Abstraction And Shows How The Focal Point Of Todays Mathematics Is Not Numbers But Sets Carrying Suitable Structures. Chapter 4 Deals With Boolean Algebras And Their Applications. Chapters 5 And 6 Deal With More Traditional Topics In Algebra, Viz., Groups, Rings, Fields, Vector Spaces And Matrices.The Presentation Is Elementary And Presupposes No Mathematical Maturity On The Part Of The Reader. Instead, Comments Are Inserted Liberally To Increase His Maturity. Each Chapter Has Four Sections. Each Section Is Followed By Exercises (Of Various Degrees Of Difficulty) And By Notes And Guide To Literature. Answers To The Exercises Are Provided At The End Of The Book.

Applied Mathematics: A Very Short Introduction

Author : Alain Goriely
Publisher : Oxford University Press
ISBN 13 : 0191068888
Total Pages : 169 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Applied Mathematics: A Very Short Introduction by : Alain Goriely

Download or read book Applied Mathematics: A Very Short Introduction written by Alain Goriely and published by Oxford University Press. This book was released on 2018-02-13 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is playing an increasing important role in society and the sciences, enhancing our ability to use models and handle data. While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world in which we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields. This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics and engineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Foundations of Discrete Mathematics

Author :
Publisher :
ISBN 13 : 9788122435986
Total Pages : 0 pages
Book Rating : 4.4/5 (359 download)

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Book Synopsis Foundations of Discrete Mathematics by :

Download or read book Foundations of Discrete Mathematics written by and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foundations of Modern Analysis

Author : Avner Friedman
Publisher : Courier Corporation
ISBN 13 : 9780486640624
Total Pages : 276 pages
Book Rating : 4.6/5 (46 download)

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Book Synopsis Foundations of Modern Analysis by : Avner Friedman

Download or read book Foundations of Modern Analysis written by Avner Friedman and published by Courier Corporation. This book was released on 1982-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.

Foundations of Applied Statistical Methods

Author : Hang Lee
Publisher : Springer Science & Business Media
ISBN 13 : 3319024027
Total Pages : 169 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Foundations of Applied Statistical Methods by : Hang Lee

Download or read book Foundations of Applied Statistical Methods written by Hang Lee and published by Springer Science & Business Media. This book was released on 2013-11-08 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a text in methods of applied statistics for researchers who design and conduct experiments, perform statistical inference, and write technical reports. These research activities rely on an adequate knowledge of applied statistics. The reader both builds on basic statistics skills and learns to apply it to applicable scenarios without over-emphasis on the technical aspects. Demonstrations are a very important part of this text. Mathematical expressions are exhibited only if they are defined or intuitively comprehensible. This text may be used as a self review guidebook for applied researchers or as an introductory statistical methods textbook for students not majoring in statistics. Discussion includes essential probability models, inference of means, proportions, correlations and regressions, methods for censored survival time data analysis, and sample size determination. The author has over twenty years of experience on applying statistical methods to study design and data analysis in collaborative medical research setting as well as on teaching. He received his PhD from University of Southern California Department of Preventive Medicine, received a post-doctoral training at Harvard Department of Biostatistics, has held faculty appointments at UCLA School of Medicine and Harvard Medical School, and currently a biostatistics faculty member at Massachusetts General Hospital and Harvard Medical School in Boston, Massachusetts, USA.

Foundations of Combinatorics with Applications

Author : Edward A. Bender
Publisher : Courier Corporation
ISBN 13 : 0486151506
Total Pages : 789 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Foundations of Combinatorics with Applications by : Edward A. Bender

Download or read book Foundations of Combinatorics with Applications written by Edward A. Bender and published by Courier Corporation. This book was released on 2013-01-18 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines a variety of applications relevant to computer science and mathematics, including induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises appear throughout the text, along with notes and references. The text concludes with solutions to odd-numbered exercises and to all appendix exercises.

Real Analysis and Foundations, Fourth Edition

Author : Steven G. Krantz
Publisher : CRC Press
ISBN 13 : 1498777708
Total Pages : 306 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Real Analysis and Foundations, Fourth Edition by : Steven G. Krantz

Download or read book Real Analysis and Foundations, Fourth Edition written by Steven G. Krantz and published by CRC Press. This book was released on 2016-12-12 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Readable yet Rigorous Approach to an Essential Part of Mathematical Thinking Back by popular demand, Real Analysis and Foundations, Third Edition bridges the gap between classic theoretical texts and less rigorous ones, providing a smooth transition from logic and proofs to real analysis. Along with the basic material, the text covers Riemann-Stieltjes integrals, Fourier analysis, metric spaces and applications, and differential equations. New to the Third Edition Offering a more streamlined presentation, this edition moves elementary number systems and set theory and logic to appendices and removes the material on wavelet theory, measure theory, differential forms, and the method of characteristics. It also adds a chapter on normed linear spaces and includes more examples and varying levels of exercises. Extensive Examples and Thorough Explanations Cultivate an In-Depth Understanding This best-selling book continues to give students a solid foundation in mathematical analysis and its applications. It prepares them for further exploration of measure theory, functional analysis, harmonic analysis, and beyond.

Fundamentals of Technical Mathematics

Author : Sarhan M. Musa
Publisher : Academic Press
ISBN 13 : 0128020164
Total Pages : 410 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Fundamentals of Technical Mathematics by : Sarhan M. Musa

Download or read book Fundamentals of Technical Mathematics written by Sarhan M. Musa and published by Academic Press. This book was released on 2015-10-16 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Technical Mathematics introduces key, applied mathematics for engineering technologists and technicians. Through a simple, engaging approach, the book reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions. The book covers conversions to different units of measure (standard and/or metric) and other topics as required by specific businesses and industries, providing a go-to resource on the topic. Building on these foundations, it then explores concepts in arithmetic, introductory algebra, equations, inequalities, and modeling, graphs and functions, measurement, geometry, and trigonometry, all the while supporting these concepts with practical applications in a variety of technical and career vocations, including automotive, allied health, welding, plumbing, machine tool, carpentry, auto mechanics, HVAC, and many other fields. In addition, the book provides practical examples from a vast number of technologies. - Presents foundational math concepts in a concise, engaging way - Covers conversions to different units of measure (standard and/or metric) and other topics as required by specific businesses and industries - Reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions - Connects concepts with recent applications in technology, engineering, manufacturing, and science - Includes many practice and review problems

Algorithms from THE BOOK

Author : Kenneth Lange
Publisher : SIAM
ISBN 13 : 1611976170
Total Pages : 227 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Algorithms from THE BOOK by : Kenneth Lange

Download or read book Algorithms from THE BOOK written by Kenneth Lange and published by SIAM. This book was released on 2020-05-04 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms are a dominant force in modern culture, and every indication is that they will become more pervasive, not less. The best algorithms are undergirded by beautiful mathematics. This text cuts across discipline boundaries to highlight some of the most famous and successful algorithms. Readers are exposed to the principles behind these examples and guided in assembling complex algorithms from simpler building blocks. Written in clear, instructive language within the constraints of mathematical rigor, Algorithms from THE BOOK includes a large number of classroom-tested exercises at the end of each chapter. The appendices cover background material often omitted from undergraduate courses. Most of the algorithm descriptions are accompanied by Julia code, an ideal language for scientific computing. This code is immediately available for experimentation. Algorithms from THE BOOK is aimed at first-year graduate and advanced undergraduate students. It will also serve as a convenient reference for professionals throughout the mathematical sciences, physical sciences, engineering, and the quantitative sectors of the biological and social sciences.