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About this book :-
Modern Calculus and Analytic Geometry written by Richard A. Silverman .
A self-contained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous worked-out examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory — many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This well-organized, unified text is copiously illustrated, amply cross-referenced, and fully indexed.
Book Detail :-
Title: Modern Calculus and Analytic Geometry
Author(s): Richard A. Silverman
Publisher: Dover Publications
Series: Dover Books on Mathematics
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About Author :-
The author is Harvard PH.D. in physics, 1951, passed away June 24th, five days before his 91st birthday, in Great Barrington, MA. He was the author of numerous papers and books on mathematics as well as a renowned Russian science translator. He is writter and translater of more than 50 books.
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Book Contents :-
Modern Calculus and Analytic Geometry written by Richard A. Silverman cover the following topics.
1. Sets and Functions
2. Number and Coordinates
6. Well Behaved Functions
8. Analystic Geometry in R2
9. Curves and Vectors in R2
10. Linear Algebra
11. Analystic Geometry in R3
12. Partial Differentiation
13. Multiple Integration
14. Further Computations
15. Infinite Series
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