Edition DescriptionRevised edition
Table Of ContentPart 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
SynopsisFor 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., Offering readability, practicality and flexibility, Wade presents Fundamental Theorems from a practical viewpoint.Introduces central ideas of analysis in a one-dimensional setting, then covers multidimensional theory. Offers separate coverage of topology and analysis. Numbers theorems, definitions and remarks consecutively. Uniform writing style and notation. Practical focus on analysis.For those interested in learning more about analysis.
LC Classification NumberQA300.W25 2003