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Full Description
For one- or two-semester junior or senior level courses in Advanced Calculus, Analysis I, or Real Analysis. This text 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.
Contents
Part I. One-Dimensional Theory 1. The Real Number System 2. Sequences in R 3. Continuity 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 15. Differentiable Manifolds