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Making Transcendence Transparent

2013-04-17 Mathematics
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Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 146/5 ( reviews)

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Book Synopsis Making Transcendence Transparent by : Edward B. Burger

Download or read book Making Transcendence Transparent written by Edward B. Burger. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book that makes the difficult and important subject of transcendental number theory accessible to undergraduate mathematics students. Edward Burger is one of the authors of The Heart of Mathematics, winner of a 2001 Robert W. Hamilton Book Award. He will also be awarded the 2004 Chauvenet Prize, one of the most prestigious MAA prizes for outstanding exposition.

Periods And Special Functions In Transcendence

2017-05-04 Mathematics
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Release : 2017-05-04
Genre : Mathematics
Kind : eBook
Book Rating : 960/5 ( reviews)

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Book Synopsis Periods And Special Functions In Transcendence by : Paula B Tretkoff

Download or read book Periods And Special Functions In Transcendence written by Paula B Tretkoff. This book was released on 2017-05-04. Available in PDF, EPUB and Kindle. Book excerpt: 'The book is mainly addressed to the non-expert reader, in that it assumes only a little background in complex analysis and algebraic geometry, but no previous knowledge in transcendental number theory is required. The technical language is introduced smoothly, and illustrative examples are provided where appropriate … The book is carefully written, and the relevant literature is provided in the list of references. 'Mathematical Reviews ClippingsThis book gives an introduction to some central results in transcendental number theory with application to periods and special values of modular and hypergeometric functions. It also includes related results on Calabi-Yau manifolds. Most of the material is based on the author's own research and appears for the first time in book form. It is presented with minimal of technical language and no background in number theory is needed. In addition, except the last chapter, all chapters include exercises suitable for graduate students. It is a nice book for graduate students and researchers interested in transcendence.

Surveys in Number Theory

2009-03-02 Mathematics
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Release : 2009-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 108/5 ( reviews)

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Book Synopsis Surveys in Number Theory by : Krishnaswami Alladi

Download or read book Surveys in Number Theory written by Krishnaswami Alladi. This book was released on 2009-03-02. Available in PDF, EPUB and Kindle. Book excerpt: Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on multipartitions, congruences and identities (G. Andrews), the formulas of Koshliakov and Guinand in Ramanujan's Lost Notebook (B. C. Berndt, Y. Lee, and J. Sohn), alternating sign matrices and the Weyl character formulas (D. M. Bressoud), theta functions in complex analysis (H. M. Farkas), representation functions in additive number theory (M. B. Nathanson), and mock theta functions, ranks, and Maass forms (K. Ono), and elliptic functions (M. Waldschmidt).

Coincidences, Chaos, and All that Math Jazz

2005 Mathematics
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Release : 2005
Genre : Mathematics
Kind : eBook
Book Rating : 458/5 ( reviews)

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Book Synopsis Coincidences, Chaos, and All that Math Jazz by : Edward B. Burger

Download or read book Coincidences, Chaos, and All that Math Jazz written by Edward B. Burger. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: An explanation of challenging puzzles within the world of mathematics considers such topics as the link between a pineapple's spirals and the famous Fibonacci numbers, and the shape of the universe as reflected by a twisted strip of paper.

Hilbert's Seventh Problem

2016-11-23 Mathematics
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Release : 2016-11-23
Genre : Mathematics
Kind : eBook
Book Rating : 459/5 ( reviews)

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Book Synopsis Hilbert's Seventh Problem by : Robert Tubbs

Download or read book Hilbert's Seventh Problem written by Robert Tubbs. This book was released on 2016-11-23. Available in PDF, EPUB and Kindle. Book excerpt: This exposition is primarily a survey of the elementary yet subtle innovations of several mathematicians between 1929 and 1934 that led to partial and then complete solutions to Hilbert’s Seventh Problem (from the International Congress of Mathematicians in Paris, 1900). This volume is suitable for both mathematics students, wishing to experience how different mathematical ideas can come together to establish results, and for research mathematicians interested in the fascinating progression of mathematical ideas that solved Hilbert’s problem and established a modern theory of transcendental numbers.

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