《Undergraduate Analysis》电子书下载

Undergraduate Analysistxt,chm,pdf,epub,mobi下载
作者:Serge Lang
出版社: Springer
出版年: 1996-12-5
页数: 668
定价: USD 79.95
装帧: Hardcover
丛书: Undergraduate Texts in Mathematics
ISBN: 9780387948416

内容简介 · · · · · ·

This logically self-contained introduction to analysis centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. From the reviews: "This material can be gone over quickly by the really well-prepared reader, for it is one of the book's pedagogical strengths that the pattern of development later...




作者简介 · · · · · ·

Serge Lang (May 19, 1927 – September 12, 2005) was a French-born American mathematician. He is known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He was a member of the Bourbaki group.

Lang was born in Paris in 1927, and moved with his family to California as a teenager, where he graduated in 1943 from Beverly Hills High Sc...



目录 · · · · · ·

Chapter 0: Sets and Mappings
Chapter 1: Real Numbers
Chapter 2: Limits and Continuous Functions
Chapter 3: Differentiation
Chapter 4: Elementary Functions
Chapter 5: The Elementary Real Integral
· · · · · ·()
Chapter 0: Sets and Mappings
Chapter 1: Real Numbers
Chapter 2: Limits and Continuous Functions
Chapter 3: Differentiation
Chapter 4: Elementary Functions
Chapter 5: The Elementary Real Integral
Chapter 6: Normed Vector Spaces
Chapter 7: Limits
Chapter 8: Compactness
Chapter 9: Series
Chapter 10: The Integral in One Variable
Appendix: The Lebesgue Integral
Chapter 11: Approximation with Convolutions
Chapter 12: Fourier Series
Chapter 13, Improper Integrals
Chapter 14: The Fourier Integral
Chapter 15: Calculus in Vector Spaces
Chapter 16: The Winding Number and Global Potential Functions
Chapter 17: Derivatives in Vector Spaces
Chapter 18: Inverse Mapping Theorem
Chapter 19: Ordinary Differential Equations
Chapter 20: Multiple Integration
Chapter 22: Differential Forms
Appendix
· · · · · · ()

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  1. 凯少与我凯少与我说道:
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    等看完再追评~

  2. 动感小怪兽动感小怪兽说道:
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    引发思考

  3. 你爱听故事你爱听故事说道:
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    很不错的书

  4. C媚儿MC媚儿M说道:
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    有深度

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