Advanced Calculus
Language: English
Published by John Wiley and Sons Ltd, 2008
- Hardcover
- New
Seller: Kennys Bookstore, Olney, MD, U.S.A.Kennys Bookstore
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Condition: New
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Add to basketItem description from seller
- Advanced Calculus highlights the connections between calculus and linear algebra in an effort to prepare readers for more advanced mathematical topics. - Gradually guides the reader from the study of topology of the real line to the beginning theorems and concepts of graduate analysis, expressed from a modern viewpoint. Num Pages: 416 pages, Illustrations. BIC Classification: PBKA. Category: (P) Professional & Vocational. Dimension: 240 x 163 x 26. Weight in Grams: 710. . 2008. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland.
Seller Inventory # V9780470232880
- Title
- Advanced Calculus
- Author
- Leonard F. Richardson
- Publisher
- John Wiley and Sons Ltd
- Publication year
- 2008
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0470232889
- ISBN 13
- 9780470232880
Advanced Calculus reflects the unifying role of linear algebra in an effort to smooth readers' transition to advanced mathematics. The book fosters the development of complete theorem-proving skills through abundant exercises while also promoting a sound approach to the study. The traditional theorems of elementary differential and integral calculus are rigorously established, presenting the foundations of calculus in a way that reorients thinking toward modern analysis.
Following an introduction dedicated to writing proofs, the book is divided into three parts:
Part One explores foundational one-variable calculus topics from the viewpoint of linear spaces, norms, completeness, and linear functionals.
Part Two covers Fourier series and Stieltjes integration, which are advanced one-variable topics.
Part Three is dedicated to multivariable advanced calculus, including inverse and implicit function theorems and Jacobian theorems for multiple integrals.
Numerous exercises guide readers through the creation of their own proofs, and they also put newly learned methods into practice. In addition, a "Test Yourself" section at the end of each chapter consists of short questions that reinforce the understanding of basic concepts and theorems. The answers to these questions and other selected exercises can be found at the end of the book along with an appendix that outlines key terms and symbols from set theory.
Guiding readers from the study of the topology of the real line to the beginning theorems and concepts of graduate analysis, Advanced Calculus is an ideal text for courses in advanced calculus and introductory analysis at the upper-undergraduate and beginning-graduate levels. It also serves as a valuable reference for engineers, scientists, and mathematicians.
"Synopsis" may belong to another edition of this title.
About the Author
Leonard F. Richardson, PhD, is Herbert Huey McElveen Professor and Assistant Chair of the Department of Mathematics at Louisiana State University, where he is also Director of Graduate Studies in Mathematics. Dr. Richardson's research interests include harmonic analysis and representation theory.
"About the title" may belong to another edition of this title.
Kennys Bookstore
Olney, MD, U.S.A.
AbeBooks seller since October 9, 2009
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