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About this book :-
Advanced Calculus, Revised Edition written by Lynn H. Loomis, Shlomo Sternberg
This book is baded on an honors course in advaced calculus. The foundational material presented in the unstarred sections of Chater 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 arugments and have a certain amount of mathematical sophistication. The reader should also have some experience with partial derivatives.
Book Detail :-
Title: Advanced Calculus, Revised Edition
Edition: Revised Edition
Author(s): Lynn H. Loomis, Shlomo Sternberg
Publisher: Jones & Bartlett Publishers
Country: USA, UK
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About Author :-
The author Lynn H. Loomis was an American mathematician working on analysis. Loomis received his PhD in 1942 from Harvard University with thesis Some Studies on Simply-Connected Riemann Surfaces: I. The Problem of Imbedding II. Mapping on the Boundary for Two Classes of Surfaces. After completing his PhD, Loomis was a professor at Radcliffe College and from 1949 at Harvard. he was also a member of the American Academy of Arts and Sciences.
Shlomo Sternberg, Department of Mathematics, Harvard University
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Book Contents :-
Advanced Calculus, Revised Edition written by Lynn H. Loomis, Shlomo Sternberg cover the following topics. '
1. Verctor Spaces
2. Finite Dimensional Vector Spaces
3. The Differential Calculus
4. Compactness and Completeness
5. Scalar Product Spaces
6. Differential Equations
7. Multilinear Fucntionals
9. Differentiable Monifolds
10. The Integral Calculus on Manifolds
11. Exterior Calculus
12. Potential Theory in En
13. Classical Mechanics
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