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Encyclopedia of Mathematics and Its Applications Ser.: Orthogonal Polynomials and Continued Fractions : From Euler's Point of View by Sergey Khrushchev (2008, Hardcover)

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Orthogonal Polynomials and Continued Fractions : From Euler's Point of View, Hardcover by Khrushchev, Sergey, ISBN 0521854199, ISBN-13 9780521854191, Brand New, Free shipping in the US Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today.

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Product Information

This new and exciting historical book tells how Euler introduced the idea of orthogonal polynomials and how he combined them with continued fractions, as well as how Brouncker's formula of 1655 can be derived from Euler's efforts in Special Functions and Orthogonal Polynomials. The most interesting applications of this work are discussed, including the great Markoff's Theorem on the Lagrange spectrum, Abel's Theorem on integration in finite terms, Chebyshev's Theory of Orthogonal Polynomials, and very recent advances in Orthogonal Polynomials on the unit circle. As continued fractions become more important again, in part due to their use in finding algorithms in approximation theory, this timely book revives the approach of Wallis, Brouncker and Euler and illustrates the continuing significance of their influence. A translation of Euler's famous paper 'Continued Fractions, Observation' is included as an Addendum.

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521854199
ISBN-13
9780521854191
eBay Product ID (ePID)
65857714

Product Key Features

Author
Sergey Khrushchev
Publication Name
Orthogonal Polynomials and Continued Fractions : from Euler's Point of View
Format
Hardcover
Language
English
Series
Encyclopedia of Mathematics and Its Applications Ser.
Publication Year
2008
Type
Textbook
Number of Pages
496 Pages

Dimensions

Item Length
9.5in
Item Height
1.2in
Item Width
6.4in
Item Weight
30.5 Oz

Additional Product Features

Series Volume Number
Series Number 122
Lc Classification Number
Qa404.5
Reviews
'The author has done an admirable job of putting together historical anecdotes and excerpts from original sources with some deep and modern mathematics. The book is a pleasure to read for people interested in either orthogonal polynomials and continued fractions or the history of mathematics, and I imagine that any reader will walk away with a deeper appreciation of both.' Mathematical Reviews, "The resulting book is a pleasure to read for people interested in either the topic of orthogonal polynomials and continued fractions or for historians of mathematics, and I imagine that any reader will walk away with a deeper appreciation of both." Darren Glass, MAA Reviews, "The mathematics contained in this book is both beautiful and difficult. The author has done an admirable job of putting together historical anecdotes and excerpts from original sources with some deep and modern mathematics. The book is a pleasure to read for people interested in either orthogonal polynomials and continued fractions or the history of mathematics, and I imagine that any reader will walk away with a deeper appreciation of both." Leonid B. Golinskii, Mathematical Reviews
Table of Content
Preface; 1. Continued fractions: real numbers; 2. Continued fractions: Algebra; 3. Continued fractions: Analysis; 4. Continued fractions: Euler; 5. Continued fractions: Euler's Influence; 6. P-fractions; 7. Orthogonal polynomials; 8. Orthogonal polynomials on the unite circle; A1. Continued fractions, Observations; Bibliography; Index.
Copyright Date
2008
Topic
Mathematical Analysis, Science & Technology
Dewey Decimal
515.55
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Biography & Autobiography, Mathematics

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Picture 1 of 1

Encyclopedia of Mathematics and Its Applications Ser.: Orthogonal Polynomials and Continued Fractions : From Euler's Point of View by Sergey Khrushchev (2008, Hardcover)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 New Race Politics in America: Understand..., Junn, Jane

item 2 Orthogonal Polynomials and Continued Fractions : From Euler's Point of View, ...

item 3 Orthogonal Polynomials and Continued Fractions : From Euler's Point of View, ...

item 4 Orthogonal Polynomials and Continued Fractions: From Euler's Point of View: New

item 5 Sergey Khrushch Orthogonal Polynomials and Continued Frac (Hardback) (UK IMPORT)

item 6 Orthogonal Polynomials and Continued Fractions: From Euler's Point of View by Se

Best Selling in Textbooks

Teaching Good Learner Repertoires by Steve Ward (2013, Trade Paperback)

Designing Data-Intensive Applications : The Big Ideas Behind Reliable, Scalable, and Maintainable Systems by Martin Kleppmann (2017, Trade Paperback)

Diagnostic and Statistical Manual of Mental Disorders DSM-5-TR by American Psychiatric Association (2022, Trade Paperback)

Research Design : Qualitative, Quantitative, and Mixed Methods Approaches by J. David Creswell and John W. Creswell (2022, Trade Paperback)

Self Heal by Design : The Role of Micro-organisms for Health by Barbara O'Neill (2018, Trade Paperback)

Leadership : Theory and Practice by Peter G. Northouse (2021, Trade Paperback, Revised edition)

Diagnostic and Statistical Manual of Mental Disorders : DSM-5-TR by American Psychiatric Association (2022, Hardcover)

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