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Inequalities from Complex Analysis (Carus Mathematical Monographs) Hardcover – April 1, 2002

ISBN-13: 978-0883850336 ISBN-10: 0883850338

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Product Details

  • Series: Carus Mathematical Monographs (Book 28)
  • Hardcover: 280 pages
  • Publisher: The Mathematical Association of America (April 2002)
  • Language: English
  • ISBN-10: 0883850338
  • ISBN-13: 978-0883850336
  • Product Dimensions: 8.1 x 5.8 x 1 inches
  • Shipping Weight: 14.9 ounces (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,094,095 in Books (See Top 100 in Books)

Editorial Reviews

Review

The reader is rewarded with lively prose, sparkling examples, and elucidating exercises. -- Steven Krantz, Washington University, St. Louis

Book Description

Inequalities from Complex Analysis is a careful, friendly exposition of some rather interesting mathematics. The author gives a novel presentation of some standard mathematics as well as some results from recent research. Numerous examples, exercises and discussions aid the reader. The book is accessible to undergraduate mathematicians, physicists and engineers.

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Most Helpful Customer Reviews

Format: Hardcover
When I took my first course in real analysis as a graduate student, it was painfully, (literally and figuratively) obvious that success in the course was largely due to an ability to understand and manipulate inequalities. Throughout my career in mathematics since then, this opinion has been repeatedly reinforced, as I have often had to rediscover an inequality in order to solve a math problem. Knowledge of inequalities has also been a fundamental part of my work in computer science, especially in the areas of computation theory and algorithm analysis.
Therefore, I can strongly recommend this book for people who either are planning on working in complex analysis or are working in complex analysis. Many of the most widely used inequalities are explained, presented and then proved. The chapter headings are:

*) Complex numbers
*) Complex Euclidean Spaces and Hilbert Spaces
*) Complex Analysis in Several Variables
*) Linear Transformations and Positivity Conditions
*) Compact and Integral Operators
*) Positivity Conditions for Real-Valued Functions
*) Stabilization and Applications

If you are just starting out in complex analysis or need a quick refresher after some time of neglect, this is a book that will serve your needs very well.
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