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Principles of Mathematical Analysis

By Walter Rudin

(27)

| Hardcover | 9780070542358

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Book Description

Chapter 1: The Real and Complex Number SystemsIntroduction Ordered Sets Fields The Real Field The Extended Real Number System The Complex Field Euclidean Spaces Appendix Exercises Chapter 2: Basic Topology Finite, Countable, and Uncountable Sets Metric Spaces Compact Sets Perfect Sets Connected SetsContinue

Chapter 1: The Real and Complex Number SystemsIntroduction Ordered Sets Fields The Real Field The Extended Real Number System The Complex Field Euclidean Spaces Appendix Exercises Chapter 2: Basic Topology Finite, Countable, and Uncountable Sets Metric Spaces Compact Sets Perfect Sets Connected Sets Exercises Chapter 3: Numerical Sequences and Series Convergent Sequences Subsequences Cauchy Sequences Upper and Lower Limits Some Special Sequences Series Series of Nonnegative Terms The Number e The Root and Ratio Tests Power Series Summation by Parts Absolute Convergence Addition and Multiplication of Series Rearrangements Exercises Chapter 4: Continuity Limits of Functions Continuous Functions Continuity and Compactness Continuity and Connectedness Discontinuities Monotonic Functions Infinite Limits and Limits at Infinity Exercises Chapter 5: Differentiation The Derivative of a Real Function Mean Value Theorems The Continuity of Derivatives L'Hospital's Rule (and more...)
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  • My introduction to serious, from-the-ground-up, rigorous mathematics. It was used as a textbook for an undergrad course in real analysis I took. Highly recommended. I cannot say I understood any higher courses in math with the same clarity.

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    Leebeck said on Feb 29, 2008 | Add your feedback

Book Details

  • Rating:
    (27)
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  • English Books
  • Hardcover 325 Pages
  • Edition: 3
  • ISBN-10: 007054235X
  • ISBN-13: 9780070542358
  • Publisher: McGraw-Hill Science/Engineering/Math
  • Pub date: Jan 01, 1976
  • Dimensions: 1484 mm x 968 mm x 129 mm Just how big is that?
  • Also available as: Paperback
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9780070542358 Hardcover $104.75 $92.39 bn.com
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