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About this book :-
Advanced Calculus written by
Gerald B. Folland
This book is an outline of the core material in the standard graduate-level real analysis course. It is intended as a resource for students in such a course as well as others who wish to learn or review the subject. On the abstract level, it covers the theory of measure and integration and the basics of point set topology, functional analysis, and the most important types of function spaces. On the more concrete level, it also deals with the applications of these general theories to analysis on Euclidean space: the Lebesgue integral, Hausdorff measure, convolutions, Fourier series and transforms, and distributions. The relevant definitions and major theorems are stated in detail. Proofs, however, are generally presented only as sketches, in such a way that the key ideas are explained but the technical details are omitted. In this way a large amount of material is presented in a concise and readable form.
(Gerald B. Folland)
Book Detail :-
Title: Advanced Calculus
Edition:
Author(s): Gerald B. Folland
Publisher: Pearson
Series:
Year: 2002
Pages: 473
Type: PDF
Language: English
ISBN: 0130652652
Country: US
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About Author :-
Author Gerald Budge Folland is an American mathematician and a professor of mathematics at the University of Washington. His areas of interest are harmonic analysis (on both Euclidean space and Lie groups), differential equations, and mathematical physics. The title of his doctoral dissertation at Princeton University (1971) is "The Tangential Cauchy-Riemann Complex on Spheres".
He is the author of several textbooks in mathematical analysis. In 2012 he became a fellow of the American Mathematical Society.
All Famous Books of this Author :-
Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.
• Download PDF Real Analysis 2E: Modern Techniques and Their Applications by Gerald B. Folland
• Download PDF A Guide to Advanced Real Analysis by Gerald B. Folland
• Download PDF A Course in Abstract Harmonic Analysis (2E) by Gerald B. Folland
• Download PDF Partial Differential Equations (2E) by Gerald B. Folland
• Download PDF Advanced Calculus by Gerald B. Folland
• Download PDF Fourier Analysis and Its Applications by Gerald B. Folland
• Download PDF Quantum Field Theory by Gerald B. Folland
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Book Contents :-
Advanced Calculus written by
Gerald B. Folland
cover the following topics.
1. Setting the Stage
2. Differential Calculus
3. The Implicit Function Theorem and Its Applications
4. Integral Calculus
5. Line and Surface Integrals; Vector Analysis
6. Infinite Series
7. Functions Defines by Series and Integrals
8. Fourier Series
Appendix A. Summary of Linear Algebra
Appendix B. Some Technical Proofs
Answers to Selected Exercises
Bibiliography
Index
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