An Introduction to Analysis 4/e [Wade] 9781292357874

This text prepares students for future courses that use analytic ideas, such as real and complex analysis, partial and ordinary differential equations, numerical analysis, fluid mechanics, and differential geometry. This book is designed to challenge advanced students while encouraging and helping weaker students. Offering readability, practicality and flexibility, Wade presents fundamental theorems and ideas from a practical viewpoint, showing students the motivation behind the mathematics and enabling them to construct their own proofs.

頁數：696
版次：第4版
年份：2022年
規格：平裝/單色
ISBN：9781292357874

Part I. ONE-DIMENSIONALTHEORY
1. The Real Number System
2. Sequences in R
3. Functions on R
4. Differentiability on R
5. Integrability on R
6. Infinite Series of Real Numbers
7. Infinite Series of Functions
Part II. MULTIDIMENSIONAL THEORY
8. Euclidean Spaces
9. Convergence in Rⁿ
10. Metric Spaces
11. Differentiability on Rⁿ
12. Integration on Rⁿ
13. Fundamental Theorems of Vector Calculus
14. Fourier Series
Appendices
A. Algebraic laws
B. Trigonometry
C. Matrices and determinants
D. Quadric surfaces
E. Vector calculus and physics
F. Equivalence relations