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About this book :-
Advanced Calculus (3E) written by
Angus E. Taylor, W. Robert Mann .
Outlines theory and techniques of calculus, emphasizing strong understanding of concepts, and the basic principles of analysis. Reviews elementary and intermediate calculus and features discussions of elementary-point set theory, and properties of continuous functions.
Book Detail :-
Title: Advanced Calculus
Edition: 3rd
Author(s): Angus E. Taylor, W. Robert Mann
Publisher: Wiley
Series:
Year:
Pages: 749
Type: PDF
Language: English
ISBN:
Country: US
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About Author :-
The author Angus Ellis Taylor was a mathematician and professor at various universities in the University of California system.
He was authored of many mathematical books/texts, one of which, Advanced Calculus, became most famous and a standard for a generation of mathematics students.
The author William Robert Mann was a mathematician from Chapel Hill, USA, North Carolina. Mann worked in mathematical analysis.
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Book Contents :-
Advanced Calculus (3E) written by
Angus E. Taylor, W. Robert Mann
cover the following topics.
1. Fundamentals of Elementry Calculus
2. The Real Number System
3. Continuous Functions
4. Extensions of the low of the mean
5. Functions of Several Variables
6. The element of Partial Differentiation
7. General Theorems of Partial Differentiation
8. Implicit Function Theorems
9. The Inverse Function Theorem with Applications
10. Vectors and Vector Fields
11. Linear Tranformations
12. Differential Calculus of Functions from the Rn to Rm
13. Double and Triple Integrals
14. Curves and Surfaces
15. Line and Surface Integrals
16. Point set Theory
17. Fundamental Theorems of Continuous Functions
18. The Theory of Integration
19. Infinite Series
20. Uniform Coverage
21. Power Series
22. Improper Integrals
Answer to selected Exercises
Index
Note:-
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