An introduction to analysis /
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 w...
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| Format: | Book |
| Language: | English |
| Published: |
New York :
Pearson,
[2018]
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| Edition: | Fourth edition [2018 reissue]. |
| Series: | Pearson modern classic.
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| Subjects: |
Table of Contents:
- Pt. I. One-dimensional theory
- The real number system
- Sequences in R
- Functions on R
- Differentiability on R
- Integrability on R
- Infinite series of real numbers
- Infinite series of functions
- Pt. II. Multidimensional theory
- Euclidean spaces
- Convergence in Rn
- Metric spaces
- Differentiability on Rn
- Integration on Rn
- Fundamental theorems of vector calculus
- Fourier series
- Appendices:
- A. Algebraic laws
- B. Trigonometry
- C. Matrices and determinants
- D. Quadric surfaces
- E. Vector calculus and physics
- F. Equivalence relations.