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Fundamental Mathematical Analysis by Robert Magnus at Abbey's Bookshop,
Fundamental Mathematical Analysis
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Robert Magnus

Fundamental Mathematical Analysis

Robert Magnus

$89.95   $76.03

Paperback

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English
Springer Nature Switzerland AG
15 July 2020
Real analysis, real variables
Series: Springer Undergraduate Mathematics Series
This textbook offers a comprehensive undergraduate course in real analysis in one variable. Taking the view that analysis can only be properly appreciated as a rigorous theory, the book recognises the difficulties that students experience when encountering this theory for the first time, carefully addressing them throughout.

Historically, it was the precise description of real numbers and the correct definition of limit that placed analysis on a solid foundation. The book therefore begins with these crucial ideas and the fundamental notion of

sequence. Infinite series are then introduced, followed by the key concept of continuity. These lay the groundwork for differential and integral calculus, which are carefully covered in the following chapters. Pointers for further study are included throughout the book, and for the more adventurous there is a selection of ""nuggets"", exciting topics not commonly discussed at this level. Examples of nuggets include Newton's method, the irrationality of π, Bernoulli numbers, and the Gamma function.

Based on decades of teaching experience, this book is written with the undergraduate student in mind. A large number of exercises, many with hints, provide the practice necessary for learning, while the included ""nuggets"" provide opportunities to deepen understanding and broaden horizons.
By:  
Imprint:   Springer Nature Switzerland AG
Country of Publication:   Switzerland
Edition:   1st ed. 2020
Dimensions:   Height: 235mm,  Width: 155mm, 
Weight:   694g
ISBN:   9783030463205
ISBN 10:   3030463206
Series:   Springer Undergraduate Mathematics Series
Pages:   433
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active

Robert Magnus was born in the UK and studied mathematics at the Universities of Cambridge and Sussex. He has taught nearly all subjects associated with analysis and has published papers in the areas of bifurcation theory, catastrophe theory, analytic operator functions and non-linear partial differential equations. Since 1977 he has lived and worked in Iceland.

Reviews for Fundamental Mathematical Analysis

“Fundamental Mathematical Analysis is a complete and wide-ranging text that offers a rigorous introduction to the analysis of real-valued, single-variable functions. This text is well organized and peppered with insight and mathematical nuggets. … I found it an enjoyable read and am confident that a well-prepared student would gain a tremendous deal from this text.” (John Ross, MAA Reviews, May 29, 2021)


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