Advanced Calculus —— An Introduction to Linear Analysis

----- 高级微积分：线性分析导论

ISBN: 9780470232880 出版年：2011 页码：415 Leonard F Richardson Wiley

Preface. Acknowledgments. Introduction. PART I. ADVANCED CALCULUS IN ONE VARIABLE. 1. Real Numbers and Limits of Sequences. 2. Continuous Functions. 3. Rieman Integral. 4. The Derivative. 5. Infinite Series. PART II. ADVANCED TOPICS IN ONE VARIABLE. 6. Fourier Series. 7. The Riemann-Stieltjes Integral. PART III. ADVANCED CALCULUS IN SEVERAL VARIABLES. 8. Euclidean Space. 9. Continuous Functions on Euclidean Space. 10. The Derivative in Euclidean Space. 11. Riemann Integration in Euclidean Space. Appendix A. Set Theory. Problem Solutions. References. Index.