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A Course in Real Analysis
Series: Textbooks in Mathematics
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A Course in Real Analysis
$21200
Unit price
/
Unavailable
Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?
This textbook is ideal for advanced undergraduate students studying real analysis or those preparing for higher-level analysis courses. It suits readers seeking a detailed, rigorous mathematical treatment with ample examples and exercises.
Book Hero Magic formatted this description to make it easier to read. While it's new and
still learning, it may not be perfect - your
feedback is welcome!
Description
A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus at the advanced undergraduate level. The book’s material has been extensively classroom tested in the author’s two-semester undergraduate course on real analysis at The George Washington University.
The first part of the text presents the calculus of functions of one variable. This part covers traditional topics, such as sequences, continuity, differentiability, Riemann integrability, numerical series, and the convergence of sequences and series of functions. It also includes optional sections on Stirling’s formula, functions of bounded variation, Riemann–Stieltjes integration, and other topics.
The second part focuses on functions of several variables. It introduces the topological ideas (such as compact and connected sets) needed to describe analytical properties of multivariable functions. This part also discusses differentiability and integrability of multivariable functions and develops the theory of differential forms on surfaces in Rn.
The third part consists of appendices on set theory and linear algebra as well as solutions to some of the exercises. A full solutions manual offers complete solutions to all exercises for qualifying instructors.
With clear proofs, detailed examples, and numerous exercises, this textbook gives a thorough treatment of the subject. It progresses from single variable to multivariable functions, providing a logical development of material that will prepare students for more advanced analysis-based courses.
Series: Textbooks in Mathematics
View all-
A Course in Real Analysis
A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus at the advanced undergraduate level. The book’s material has been extensively classroom tested in the author’s two-semester undergraduate course on real analysis at The George Washington University. The first part of the text presents the calculus of functions of one variable. This part...Hardback$21200Unit price /UnavailableAvailableShips in 4-6 weeks -
Exploring Geometry
Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a...Hardback$25900Unit price /UnavailableAvailableShips in 4-6 weeks -
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Numerical Analysis for Engineers: Methods and Applications demonstrates the power of numerical methods in the context of solving complex engineering and scientific problems. The book helps to prepare future engineers and assists practising engineers in understanding the fundamentals of numerical methods, especially their applications, limitations, and potentials. Each chapter contains many computational examples, as well as a section on applications...Paperback$13400Unit price /UnavailableAvailableShips in 4-6 weeks
Book Details
INFORMATION
ISBN: 9781482219272
Publisher: Taylor & Francis Inc
Format: Hardback
Date Published: 13 February 2015
Country: United States
Imprint: Chapman & Hall/CRC
Illustration: 6 Tables, black and white; 82 Illustrations, black and white
Audience: Tertiary education
DIMENSIONS
Width: 156.0mm
Height: 234.0mm
Weight: 1034g
Pages: 614
About the Author
Hugo D. Junghenn is a professor of mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including Option Valuation: A First Course in Financial Mathematics. His research interests include functional analysis, semigroups, and probability.
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