Intermediate Mathematical Analysis
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Intermediate Real Analysis
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Author : E. Fischer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Intermediate Real Analysis written by E. Fischer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
There are a great deal of books on introductory analysis in print today, many written by mathematicians of the first rank. The publication of another such book therefore warrants a defense. I have taught analysis for many years and have used a variety of texts during this time. These books were of excellent quality mathematically but did not satisfy the needs of the students I was teaching. They were written for mathematicians but not for those who were first aspiring to attain that status. The desire to fill this gap gave rise to the writing of this book. This book is intended to serve as a text for an introductory course in analysis. Its readers will most likely be mathematics, science, or engineering majors undertaking the last quarter of their undergraduate education. The aim of a first course in analysis is to provide the student with a sound foundation for analysis, to familiarize him with the kind of careful thinking used in advanced mathematics, and to provide him with tools for further work in it. The typical student we are dealing with has completed a three-semester calculus course and possibly an introductory course in differential equations. He may even have been exposed to a semester or two of modern algebra. All this time his training has most likely been intuitive with heuristics taking the place of proof. This may have been appropriate for that stage of his development.
Intermediate Mathematical Analysis
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Author : Anthony E. Labarre
language : en
Publisher: Courier Corporation
Release Date : 2008-01-01
Intermediate Mathematical Analysis written by Anthony E. Labarre and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
Geared toward those who have studied elementary calculus, this book stresses concepts rather than techniques. It prepares students for a first demanding course in analysis, dealing primarily with real-valued functions of a real variable. Complex numbers appear only in supplements and the last two chapters. 1968 edition.
Intermediate Mathematical Analysis
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Author : Hugh Ansfrid Thurston
language : en
Publisher: Oxford University Press
Release Date : 1988
Intermediate Mathematical Analysis written by Hugh Ansfrid Thurston and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Analyse mathématique categories.
This textbook provides a readable, though rigorous, introduction to the differentiation and integration of functions of several complex variables. In addition to presenting the classical theory of the subject, the author includes informal explanations of many proofs along with numerous exercises and problems that will help readers gain an in-depth understanding of the subject. Students are not assumed to have more background than a standard first course in calculus of one variable. Key concepts that are introduced include the composition of functions of several variables, compactness, uniform continuity, and connectivity. The author goes on to develop the theories of differentiation and integration, including Taylor's theorem, Lagrange's multipliers, the implicit function theory, inverse function theorem, iterated integration, improper integrals, and the change of variable theorem for integrals. As a special feature, the author offers a logically sound treatment of partial differentiation in Euler's notation. The book concludes with an indication of how the subject may be further developed. With its clear style and fresh approach, this text provides a useful bridge between the elementary calculus of one variable and the theory of functions in abstract spaces.
Intermediate Mathematical Analysis
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Author : Anthony Edward Labarre
language : en
Publisher:
Release Date : 2008
Intermediate Mathematical Analysis written by Anthony Edward Labarre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Anàlisi matemàtica categories.
Intermediate Mathematical Analysis
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Author : Hugh Ansfrid Thurston
language : en
Publisher: Oxford University Press, USA
Release Date : 1988
Intermediate Mathematical Analysis written by Hugh Ansfrid Thurston and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
This textbook is an introduction to the theory of differentiation and integration of functions of several variables. It aims to provide a readable text with informal explanations and includes the classical theory of the subject.
Intermediate Mathematical Analysis
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Author : R. D. Bhatt
language : en
Publisher: Alpha Science International, Limited
Release Date : 2009
Intermediate Mathematical Analysis written by R. D. Bhatt and has been published by Alpha Science International, Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Presents advanced topics such as continuity, uniform continuity, tests of convergence of series, uniform convergence of series, power series, polynomial approximations and Fourier series in a more general setting. Metric and Normed Linear Spaces are introduced at an early stage and are used wherever found advantageous.
Advanced Real Analysis
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Author : Anthony W. Knapp
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-11
Advanced Real Analysis written by Anthony W. Knapp and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-11 with Mathematics categories.
* Presents a comprehensive treatment with a global view of the subject * Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician
Real Analysis
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Author : N. L. Carothers
language : en
Publisher: Cambridge University Press
Release Date : 2000-08-15
Real Analysis written by N. L. Carothers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-15 with Mathematics categories.
A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.
Mathematical Analysis I
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Author : Vladimir A. Zorich
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-22
Mathematical Analysis I written by Vladimir A. Zorich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-22 with Mathematics categories.
This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.