Description

Book Synopsis
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.

Table of Contents
1. Fundamentals of Elementary Calculus.

2. The Real Number System.

3. Continuous Functions.

4. Extensions of the Law of the Mean.

5. Functions of Several Variables.

6. The Elements 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 Transformations.

12. Differential Calculus of Functions from R¯nto R¯m.

13. Double and Triple Integrals.

14. Curves and Surfaces.

15. Line and Surface Integrals.

16. Point-Set Theory.

17. Fundamental Theorems on Continuous Functions.

18. The Theory of Integration.

19. Infinite Series.

20. Uniform Convergence.

21. Power Series.

22. Improper Integrals.

Answers to Selected Exercises.

Index.

Advanced Calculus

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    A Paperback / softback by Angus E. Taylor, W. Robert Mann

    £230.36

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      Book details

      Publisher John Wiley & Sons Inc
      Published 17 November 1982
      ISBN-13 9780471025665
      978-0471025665
      ISBN-10 0471025666
      Also in:
      Mathematics

      Description

      Book Synopsis
      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.

      Table of Contents
      1. Fundamentals of Elementary Calculus.

      2. The Real Number System.

      3. Continuous Functions.

      4. Extensions of the Law of the Mean.

      5. Functions of Several Variables.

      6. The Elements 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 Transformations.

      12. Differential Calculus of Functions from R¯nto R¯m.

      13. Double and Triple Integrals.

      14. Curves and Surfaces.

      15. Line and Surface Integrals.

      16. Point-Set Theory.

      17. Fundamental Theorems on Continuous Functions.

      18. The Theory of Integration.

      19. Infinite Series.

      20. Uniform Convergence.

      21. Power Series.

      22. Improper Integrals.

      Answers to Selected Exercises.

      Index.

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