Analysis I

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Publisher : Springer Science & Business Media
ISBN 13 : 364218491X
Total Pages : 453 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Analysis I by : Roger Godement

Download or read book Analysis I written by Roger Godement and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first two volumes are now available in English.

Analysis of Elementary Functions

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Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Analysis of Elementary Functions by : Robert H. Sorgenfrey

Download or read book Analysis of Elementary Functions written by Robert H. Sorgenfrey and published by . This book was released on 1970 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis of Elementary Functions

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Publisher :
ISBN 13 : 9780395279328
Total Pages : 367 pages
Book Rating : 4.2/5 (793 download)

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Book Synopsis Analysis of Elementary Functions by : Robert H. Sorgenfrey

Download or read book Analysis of Elementary Functions written by Robert H. Sorgenfrey and published by . This book was released on 1980 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Functions

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Publisher : Springer Nature
ISBN 13 : 3031290755
Total Pages : 488 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Elementary Functions by : Andrei Bourchtein

Download or read book Elementary Functions written by Andrei Bourchtein and published by Springer Nature. This book was released on 2023-05-31 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook focuses on the study of different kinds of elementary functions ubiquitous both in high school Algebra and Calculus. To analyze the functions ranging from polynomial to trigonometric ones, it uses rudimentary techniques available to high school students, and at the same time follows the mathematical rigor appropriate for university level courses. Contrary to other books of Pre-Calculus, this textbook emphasizes the study of elementary functions with rigor appropriate for university level courses in mathematics, although the exposition is confined to the pre-limit topics and techniques. This makes the book useful, on the one hand, as an introduction to mathematical reasoning and methods of proofs in mathematical analysis, and on the other hand, as a preparatory course on the properties of different kinds of elementary functions. The textbook is aimed at university freshmen and high-school students interested in learning strict mathematical reasoning and in preparing a solid base for subsequent study of elementary functions at advanced level of Calculus and Analysis. The required prerequisites correspond to the level of the high school Algebra. All the preliminary concepts and results related to the elementary functions are covered in the initial part of the text. This makes the textbook suitable for both classroom use and self-study.

Elementary Functions

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Publisher : Birkhäuser
ISBN 13 : 1489979832
Total Pages : 297 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Elementary Functions by : Jean-Michel Muller

Download or read book Elementary Functions written by Jean-Michel Muller and published by Birkhäuser. This book was released on 2016-11-16 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the concepts and tools necessary to understand, build, and implement algorithms for computing elementary functions (e.g., logarithms, exponentials, and the trigonometric functions). Both hardware- and software-oriented algorithms are included, along with issues related to accurate floating-point implementation. This third edition has been updated and expanded to incorporate the most recent advances in the field, new elementary function algorithms, and function software. After a preliminary chapter that briefly introduces some fundamental concepts of computer arithmetic, such as floating-point arithmetic and redundant number systems, the text is divided into three main parts. Part I considers the computation of elementary functions using algorithms based on polynomial or rational approximations and using table-based methods; the final chapter in this section deals with basic principles of multiple-precision arithmetic. Part II is devoted to a presentation of “shift-and-add” algorithms (hardware-oriented algorithms that use additions and shifts only). Issues related to accuracy, including range reduction, preservation of monotonicity, and correct rounding, as well as some examples of implementation are explored in Part III. Numerous examples of command lines and full programs are provided throughout for various software packages, including Maple, Sollya, and Gappa. New to this edition are an in-depth overview of the IEEE-754-2008 standard for floating-point arithmetic; a section on using double- and triple-word numbers; a presentation of new tools for designing accurate function software; and a section on the Toom-Cook family of multiplication algorithms. The techniques presented in this book will be of interest to implementers of elementary function libraries or circuits and programmers of numerical applications. Additionally, graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find this a useful reference and resource. PRAISE FOR PREVIOUS EDITIONS “[T]his book seems like an essential reference for the experts (which I'm not). More importantly, this is an interesting book for the curious (which I am). In this case, you'll probably learn many interesting things from this book. If you teach numerical analysis or approximation theory, then this book will give you some good examples to discuss in class." — MAA Reviews (Review of Second Edition) "The rich content of ideas sketched or presented in some detail in this book is supplemented by a list of over three hundred references, most of them of 1980 or more recent. The book also contains some relevant typical programs." — Zentralblatt MATH (Review of Second Edition) “I think that the book will be very valuable to students both in numerical analysis and in computer science. I found [it to be] well written and containing much interesting material, most of the time disseminated in specialized papers published in specialized journals difficult to find." — Numerical Algorithms (Review of First Edition)

Elementary Theory of Analytic Functions of One or Several Complex Variables

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486318672
Total Pages : 242 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Elementary Theory of Analytic Functions of One or Several Complex Variables by : Henri Cartan

Download or read book Elementary Theory of Analytic Functions of One or Several Complex Variables written by Henri Cartan and published by Courier Corporation. This book was released on 2013-04-22 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.

Elementary Analysis

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Publisher : CUP Archive
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4./5 ( download)

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Book Synopsis Elementary Analysis by : Kenneth A. Ross

Download or read book Elementary Analysis written by Kenneth A. Ross and published by CUP Archive. This book was released on 2014-01-15 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis of Elementary Functions [by] Robert H. Sorgenfrey [and] Edwin F. Beckenbach

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Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Analysis of Elementary Functions [by] Robert H. Sorgenfrey [and] Edwin F. Beckenbach by : Robert Henry Sorgenfrey

Download or read book Analysis of Elementary Functions [by] Robert H. Sorgenfrey [and] Edwin F. Beckenbach written by Robert Henry Sorgenfrey and published by . This book was released on with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integration in Finite Terms

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Publisher :
ISBN 13 : 9780231915960
Total Pages : 0 pages
Book Rating : 4.9/5 (159 download)

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Book Synopsis Integration in Finite Terms by : Joseph Fels Ritt

Download or read book Integration in Finite Terms written by Joseph Fels Ritt and published by . This book was released on 1948 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives an account of Liouville's theory of integration in finite terms -- his determination of the form which the integral of an algebraic function must have when the integral can be expressed with the operations of elementary mathematical analysis, carried out a finite number of times -- and the work of some of his followers.

Elementary Functions and Analysis

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Publisher : Scott Foresman
ISBN 13 : 9780673077899
Total Pages : 410 pages
Book Rating : 4.0/5 (778 download)

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Book Synopsis Elementary Functions and Analysis by : Charles J. A. Halberg

Download or read book Elementary Functions and Analysis written by Charles J. A. Halberg and published by Scott Foresman. This book was released on 1974 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Software Manual for the Elementary Functions

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Author :
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Software Manual for the Elementary Functions by : William James Cody

Download or read book Software Manual for the Elementary Functions written by William James Cody and published by Prentice Hall. This book was released on 1980 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

CounterExamples

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Publisher : CRC Press
ISBN 13 : 1482246678
Total Pages : 363 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis CounterExamples by : Andrei Bourchtein

Download or read book CounterExamples written by Andrei Bourchtein and published by CRC Press. This book was released on 2014-09-09 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, and mathematics students tackle commonly made erroneous conjectures. The book encourages students to think critically and analytically, and helps to reveal common errors in many examples. In this book, the authors present an overview of important concepts and results in calculus and real analysis by considering false statements, which may appear to be true at first glance. The book covers topics concerning the functions of real variables, starting with elementary properties, moving to limits and continuity, and then to differentiation and integration. The first part of the book describes single-variable functions, while the second part covers the functions of two variables. The many examples presented throughout the book typically start at a very basic level and become more complex during the development of exposition. At the end of each chapter, supplementary exercises of different levels of complexity are provided, the most difficult of them with a hint to the solution. This book is intended for students who are interested in developing a deeper understanding of the topics of calculus. The gathered counterexamples may also be used by calculus instructors in their classes.

Elementary Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644083
Total Pages : 274 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Elementary Functions by : Jean-Michel Muller

Download or read book Elementary Functions written by Jean-Michel Muller and published by Springer Science & Business Media. This book was released on 2006-09-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second Edition of successful, well-reviewed Birkhauser book, which sold 866 copies in North America Provides an up-to-date presentation by including new results, examples, and problems throughout the text The second edition adds a chapter on multiple-precision arithmetic, and new algorithms invented since 1997

Analysis of Elementary Functions, Sorgenfrey, Beckenbach

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Publisher :
ISBN 13 :
Total Pages : 59 pages
Book Rating : 4.:/5 (68 download)

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Book Synopsis Analysis of Elementary Functions, Sorgenfrey, Beckenbach by : Edward L. Weed

Download or read book Analysis of Elementary Functions, Sorgenfrey, Beckenbach written by Edward L. Weed and published by . This book was released on 1970 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functions of a Real Variable

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Publisher : Springer Science & Business Media
ISBN 13 : 3642593151
Total Pages : 343 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Functions of a Real Variable by : N. Bourbaki

Download or read book Functions of a Real Variable written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.

Elementary Analysis

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Publisher : A C Press
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Elementary Analysis by : Kenneth E. Iverson

Download or read book Elementary Analysis written by Kenneth E. Iverson and published by A C Press. This book was released on 1976 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Functions

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Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Elementary Functions by : Kenneth E. Iverson

Download or read book Elementary Functions written by Kenneth E. Iverson and published by . This book was released on 1966 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: