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A First Course in Analysis

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Author :
Release : 2018
Genre : Mathematics
Kind : eBook
Book Rating : 140/5 ( reviews)

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Book Synopsis A First Course in Analysis by : John B. Conway

Download or read book A First Course in Analysis written by John B. Conway. This book was released on 2018. Available in PDF, EPUB and Kindle. Book excerpt: This concise text clearly presents the material needed for year-long analysis courses for advanced undergraduates or beginning graduates.

A First Course in Analysis

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Author :
Release : 2012-09-10
Genre : Mathematics
Kind : eBook
Book Rating : 549/5 ( reviews)

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Book Synopsis A First Course in Analysis by : George Pedrick

Download or read book A First Course in Analysis written by George Pedrick. This book was released on 2012-09-10. Available in PDF, EPUB and Kindle. Book excerpt: This text on advanced calculus discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The reader will find the focus of attention shifted from the learning and applying of computational techniques to careful reasoning from hypothesis to conclusion. The book is intended both for a terminal course and as preparation for more advanced studies in mathematics, science, engineering and computation.

A First Course in Analysis

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Author :
Release : 2013
Genre : Mathematics
Kind : eBook
Book Rating : 858/5 ( reviews)

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Book Synopsis A First Course in Analysis by : Donald Yau

Download or read book A First Course in Analysis written by Donald Yau. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductory text on real analysis for undergraduate students. The prerequisite for this book is a solid background in freshman calculus in one variable. The intended audience of this book includes undergraduate mathematics majors and students from other disciplines who use real analysis. Since this book is aimed at students who do not have much prior experience with proofs, the pace is slower in earlier chapters than in later chapters. There are hundreds of exercises, and hints for some of them are included.

A Companion to Analysis

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Author :
Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 479/5 ( reviews)

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Book Synopsis A Companion to Analysis by : Thomas William Körner

Download or read book A Companion to Analysis written by Thomas William Körner. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: This book not only provides a lot of solid information about real analysis, it also answers those questions which students want to ask but cannot figure how to formulate. To read this book is to spend time with one of the modern masters in the subject. --Steven G. Krantz, Washington University, St. Louis One of the major assets of the book is Korner's very personal writing style. By keeping his own engagement with the material continually in view, he invites the reader to a similarly high level of involvement. And the witty and erudite asides that are sprinkled throughout the book are a real pleasure. --Gerald Folland, University of Washingtion, Seattle Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they hang together. This book provides such students with the coherent account that they need. A Companion to Analysis explains the problems which must be resolved in order to obtain a rigorous development of the calculus and shows the student how those problems are dealt with. Starting with the real line, it moves on to finite dimensional spaces and then to metric spaces. Readers who work through this text will be ready for such courses as measure theory, functional analysis, complex analysis and differential geometry. Moreover, they will be well on the road which leads from mathematics student to mathematician. Able and hard working students can use this book for independent study, or it can be used as the basis for an advanced undergraduate or elementary graduate course. An appendix contains a large number of accessible but non-routine problems to improve knowledge and technique.

A First Course in Functional Analysis

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Author :
Release : 2017-03-16
Genre : Mathematics
Kind : eBook
Book Rating : 629/5 ( reviews)

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Book Synopsis A First Course in Functional Analysis by : Orr Moshe Shalit

Download or read book A First Course in Functional Analysis written by Orr Moshe Shalit. This book was released on 2017-03-16. Available in PDF, EPUB and Kindle. Book excerpt: Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a course would be designed, with an emphasis on clarity and logical development alongside real applications in analysis. The background required for a student taking this course is minimal; basic linear algebra, calculus up to Riemann integration, and some acquaintance with topological and metric spaces.

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