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Advanced Calculus: An Introduction to Linear Analysis

ISBN: 978-0-470-23288-0
Hardcover
416 pages
April 2008, ©2008
US $139.00 Add to Cart

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Advanced Calculus: An Introduction to Linear Analysis  (0470232889) cover image
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  • Provides a rigorous approach to proofs, fundamental theorems, and the foundations of calculus
  • Highlights the connections and interplay between calculus and linear algebra, emphasizing the concepts of a vector space, a linear transformation (including a linear functional), a norm, and a scalar product
  • Offers a 'Test Yourself' section at the end of every chapter, which is a sample hour test with solutions to aid the study of readers
  • Gradually guides the reader from the study of topology of the real line to the beginning theorems and concepts of graduate analysis, expressed from a modern viewpoint
  • Features the system of real numbers as a Cauchy-complete Archimedean ordered field, and the traditional theorems of advanced calculus are presented.
  • Employs a multi-part outline approach and provides broad hints to guide students through the more substantial proof exercises.  Solutions to most of the non-proof exercises are also provided.

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Advanced Calculus: An Introduction to Linear Analysis (US $139.00)

-and- Univariate Discrete Distributions, Set, 3rd Edition (US $1,025.00)

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