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Advanced Calculus by Lynn H. Loomis, Shlomo Sternberg
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About this book :- This book is based on an honors course in advanced calculus. The foundational material presented in the unstarred sections of Chapter 1 through 11, was normally covered, but different application of this basic material were stressed from year to year and the book therefore contains more material than was covered in any one year. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. The reader should also have some experience with partial derivatives.
Book Detail :- This book has following details information. Title: Advanced Calculus by Lynn H. Loomis, Shlomo Sternberg Publisher: Jones & Bartlett Publishers Year: 1989 Pages: 592 Type: PDF Language: English ISBN-10 #: 0867201223 ISBN-13 #: 978-0867201222 License: CC BY-NC-SA 2.0 Get this book from Amazon
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Book Contents :- This book has following table of contents. Introduction - Vector Spaces - Finite-Dimensional Vector Spaces - The Differential Calculus - Compactness and Completeness - Scalar Product Spaces - Differential Equations - Multilinear Functionals - Integration - Differentiable Manifolds - The Integral Calculus on Manifolds - Exterior Calculus - Potential Theory in En - Classical Mechanics
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