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A Panorama of Number Theory Or The View from Baker's Garden

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Release : 2002-09-26
Genre : Mathematics
Kind : eBook
Book Rating : 999/5 ( reviews)

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Book Synopsis A Panorama of Number Theory Or The View from Baker's Garden by : Gisbert Wüstholz

Download or read book A Panorama of Number Theory Or The View from Baker's Garden written by Gisbert Wüstholz. This book was released on 2002-09-26. Available in PDF, EPUB and Kindle. Book excerpt: This is a selection of high quality articles on number theory by leading figures.

A Panorama in Number Theory, Or, the View from Baker's Garden

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Release : 2002
Genre : Electronic books
Kind : eBook
Book Rating : 369/5 ( reviews)

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Book Synopsis A Panorama in Number Theory, Or, the View from Baker's Garden by : Gisbert Wüstholz

Download or read book A Panorama in Number Theory, Or, the View from Baker's Garden written by Gisbert Wüstholz. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: This book represents the highlights of a conference hosted at ETH Zurich. It will appeal to a broad spectrum of number theorists. However, it is also for research students interested in the state of number theory at the start of the 21st century and in possible developments for the future.

Number Theory and Modular Forms

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Release : 2013-11-11
Genre : Mathematics
Kind : eBook
Book Rating : 442/5 ( reviews)

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Book Synopsis Number Theory and Modular Forms by : Bruce C. Berndt

Download or read book Number Theory and Modular Forms written by Bruce C. Berndt. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: Robert A. Rankin, one of the world's foremost authorities on modular forms and a founding editor of The Ramanujan Journal, died on January 27, 2001, at the age of 85. Rankin had broad interests and contributed fundamental papers in a wide variety of areas within number theory, geometry, analysis, and algebra. To commemorate Rankin's life and work, the editors have collected together 25 papers by several eminent mathematicians reflecting Rankin's extensive range of interests within number theory. Many of these papers reflect Rankin's primary focus in modular forms. It is the editors' fervent hope that mathematicians will be stimulated by these papers and gain a greater appreciation for Rankin's contributions to mathematics. This volume would be an inspiration to students and researchers in the areas of number theory and modular forms.

Dynamics, Geometry, Number Theory

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Release : 2022-02-07
Genre : Mathematics
Kind : eBook
Book Rating : 16X/5 ( reviews)

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Book Synopsis Dynamics, Geometry, Number Theory by : David Fisher

Download or read book Dynamics, Geometry, Number Theory written by David Fisher. This book was released on 2022-02-07. Available in PDF, EPUB and Kindle. Book excerpt: This definitive synthesis of mathematician Gregory Margulis’s research brings together leading experts to cover the breadth and diversity of disciplines Margulis’s work touches upon. This edited collection highlights the foundations and evolution of research by widely influential Fields Medalist Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have opened new vistas of mathematics; his ideas were central, for example, to developments that led to the recent Fields Medals of Elon Lindenstrauss and Maryam Mirzhakhani. Dynamics, Geometry, Number Theory introduces these areas, their development, their use in current research, and the connections between them. Divided into four broad sections—“Arithmeticity, Superrigidity, Normal Subgroups”; “Discrete Subgroups”; “Expanders, Representations, Spectral Theory”; and “Homogeneous Dynamics”—the chapters have all been written by the foremost experts on each topic with a view to making them accessible both to graduate students and to experts in other parts of mathematics. This was no simple feat: Margulis’s work stands out in part because of its depth, but also because it brings together ideas from different areas of mathematics. Few can be experts in all of these fields, and this diversity of ideas can make it challenging to enter Margulis’s area of research. Dynamics, Geometry, Number Theory provides one remedy to that challenge.

A Comprehensive Course in Number Theory

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Release : 2012-08-23
Genre : Mathematics
Kind : eBook
Book Rating : 824/5 ( reviews)

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Book Synopsis A Comprehensive Course in Number Theory by : Alan Baker

Download or read book A Comprehensive Course in Number Theory written by Alan Baker. This book was released on 2012-08-23. Available in PDF, EPUB and Kindle. Book excerpt: Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing, an account of number fields in the classical vein including properties of their units, ideals and ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, a description of the Hardy–Littlewood and sieve methods from respectively additive and multiplicative number theory and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and further reading. Its wider coverage and versatility make this book suitable for courses extending from the elementary to beginning graduate studies.

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