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Advanced Calculus

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Classic text leads from elementary calculus into more theoretic problems. Precise approach with definitions, theorems, proofs, examples and exercises. Topics include partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Numerous graded exercises with selected answers. 1961 edition.

544 pages, Paperback

First published January 1, 1989

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David Vernon Widder

6 books4 followers

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Displaying 1 - 8 of 8 reviews
Profile Image for Ayush Bhat.
49 reviews24 followers
December 8, 2017
He has explained Fourier Series so beautifully, He explained Fourier Integrals just by turning discrete indexes of Fourier Series into continuous which technically becomes frequency in Physics.
Profile Image for William Schram.
2,340 reviews96 followers
August 5, 2020
Advanced Calculus is a textbook written by David V Widder. It contains problems to solve and proofs to complete. Professor Widder does an excellent job of explaining the subject.

I assume that people reading this know what calculus is. Advanced Calculus begins at Partial Derivatives and focuses on multivariable problems.

Since the book is a Dover reprint, some of the text is faint. I don't have any other problems with the book.

The book has fourteen chapters, a list of selected answers, a glossary of symbols used, and is user-friendly considering it is a book. It builds on itself but expects you to know the basics of Calculus.

The farthest I have gotten in Calculus is the second semester, so I am ill-equipped to understand a lot of this. However, much of it is familiar to me. The book mentions Rolle's Theorem and others that I remember from my time in Calculus class. The only difference is from the leap required from one variable to two or more.
Profile Image for Matthieu.
79 reviews221 followers
June 27, 2010
Changed everything. One of the most beautiful and satisfying textbooks ever printed. The 'vibrating string' section (Fourier Series) is breathtaking. I can't even begin to say how important this book is (to me).
Profile Image for Ashiqul Dip.
19 reviews17 followers
January 27, 2013
Mathematically rigorous, but difficult to digest. I liked the chapter on Fourier specially.
Displaying 1 - 8 of 8 reviews

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