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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
** Get this book from Amazon**

**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

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