俄罗斯数学经典:卓里奇数学分析教程 第1卷(第2版)

图书目录

Prefaces

1. Some General Mathematical Concepts and Notation

2. The Real Numbers

3. Limits

4. Continuous Functions

5. Differential Calculus

6. Integration

7. Functions of Several Variables

8. Differential Calculus in Several Variables

Some Problems from the Midterm Examinations

Examination Topics

Appendix A. Mathematical Analysis (Introductory Lecture)

Appendix B. Numerical Methods for Solving Equations (An Introduction)

Appendix C. The Legendre Transform (First Discussion)

Appendix D. The Euler-Maclaurin Formula

Appendix E. Riemann-Stieltjes Integral, Delta Function, and Generalized Functions

Appendix F. The Implicit Function Theorem (An Alternative Presentation)

References

Subject Index

Name Index