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Author : D.W. Masser
Publisher : Springer
ISBN 13 : 3540374108
Total Pages : 158 pages
Book Rating : 4.5/5 (43 download)
Download or read book Elliptic Functions and Transcendence written by D.W. Masser and published by Springer. This book was released on 2006-11-15 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9780387071367
Total Pages : 459 pages
Book Rating : 4.0/5 (713 download)
Download or read book Geometric Topology written by and published by . This book was released on 1975 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Masser
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)
Download or read book Elliptic functions and transcendence written by David Masser and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Baker
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.3/5 (91 download)
Download or read book Transcendence Theory, Advances and Applications written by A. Baker and published by . This book was released on 1977 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an account of the proceedings of a conference on transcendence theory and its applications held in the University of Cambridge during January and February, 1976. The sixteen papers reflect the considerable current activity in this area, and establish a wide variety of original results. The papers have been arranged in groups with a common themes, such as the theory of linear forms in the logarithms of algebraic numbers and its applications, the transcendence theory of elliptic and Abelian functions, and linear and algebraic independence of meromorphic functions, and arithmetical properties of polynomials in several variables.
Author : Ganesh Prasad
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Introduction to the Theory of Elliptic Functions and Higher Transcendentals written by Ganesh Prasad and published by . This book was released on 1928 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paula B Tretkoff
Publisher : World Scientific
ISBN 13 : 1786342960
Total Pages : 229 pages
Book Rating : 4.7/5 (863 download)
Download or read book Periods And Special Functions In Transcendence written by Paula B Tretkoff and published by World Scientific. This book was released on 2017-05-04 with total page 229 pages. 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.
Author : Gregory Chudnovsky
Publisher : American Mathematical Soc.
ISBN 13 : 0821815008
Total Pages : 464 pages
Book Rating : 4.8/5 (218 download)
Download or read book Contributions to the Theory of Transcendental Numbers written by Gregory Chudnovsky and published by American Mathematical Soc.. This book was released on 1984 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains a collection of papers devoted primarily to transcendental number theory and diophantine approximations. This title includes a text of the author's invited address on his work on the theory of transcendental numbers to the 1978 International Congress of Mathematicians in Helsinki.
Author : Michel Waldschmidt
Publisher : Kingston, Ont. : Queen's Univeristy
ISBN 13 :
Total Pages : 158 pages
Book Rating : 4.3/5 (121 download)
Download or read book Transcendence Methods written by Michel Waldschmidt and published by Kingston, Ont. : Queen's Univeristy. This book was released on 1979 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Saradha Natarajan
Publisher : Springer Nature
ISBN 13 : 9811541558
Total Pages : 184 pages
Book Rating : 4.8/5 (115 download)
Download or read book Pillars of Transcendental Number Theory written by Saradha Natarajan and published by Springer Nature. This book was released on 2020-05-02 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications. It discusses classical results including Hermite–Lindemann–Weierstrass theorem, Gelfond–Schneider theorem, Schmidt’s subspace theorem and more. It also includes two theorems of Ramachandra which are not widely known and other interesting results derived on the values of Weierstrass elliptic function. Given the constantly growing number of applications of linear forms in logarithms, it is becoming increasingly important for any student wanting to work in this area to know the proofs of Baker’s original results. This book presents Baker’s original results in a format suitable for graduate students, with a focus on presenting the content in an accessible and simple manner. Each student-friendly chapter concludes with selected problems in the form of “Exercises” and interesting information presented as “Notes,” intended to spark readers’ curiosity.
Author : Edward B. Burger
Publisher : Springer Science & Business Media
ISBN 13 : 1475741146
Total Pages : 266 pages
Book Rating : 4.4/5 (757 download)
Download or read book Making Transcendence Transparent written by Edward B. Burger and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 266 pages. 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.
Author : M. Ram Murty
Publisher : Springer
ISBN 13 : 1493908324
Total Pages : 219 pages
Book Rating : 4.4/5 (939 download)
Download or read book Transcendental Numbers written by M. Ram Murty and published by Springer. This book was released on 2014-06-24 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the topic of transcendental numbers for upper-level undergraduate and graduate students. The text is constructed to support a full course on the subject, including descriptions of both relevant theorems and their applications. While the first part of the book focuses on introducing key concepts, the second part presents more complex material, including applications of Baker’s theorem, Schanuel’s conjecture, and Schneider’s theorem. These later chapters may be of interest to researchers interested in examining the relationship between transcendence and L-functions. Readers of this text should possess basic knowledge of complex analysis and elementary algebraic number theory.
Author : Yuri V. Nesterenko
Publisher : Springer
ISBN 13 : 3540445501
Total Pages : 257 pages
Book Rating : 4.5/5 (44 download)
Download or read book Introduction to Algebraic Independence Theory written by Yuri V. Nesterenko and published by Springer. This book was released on 2003-07-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.
Author : Alan Baker
Publisher : Cambridge University Press
ISBN 13 : 9780521335454
Total Pages : 456 pages
Book Rating : 4.3/5 (354 download)
Download or read book New Advances in Transcendence Theory written by Alan Baker and published by Cambridge University Press. This book was released on 1988-10-13 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an account of the proceedings of a very successful symposium of Transcendental Number Theory held in Durham in 1986. Most of the leading international specialists were present and the lectures reflected the great advances that have taken place in this area. The papers cover all the main branches of the subject, and include not only definitive research but valuable survey articles.
Author : Alan Baker
Publisher : Cambridge University Press
ISBN 13 : 100922994X
Total Pages : 185 pages
Book Rating : 4.0/5 (92 download)
Download or read book Transcendental Number Theory written by Alan Baker and published by Cambridge University Press. This book was released on 2022-06-09 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.
Author : Alin Bostan
Publisher : Springer Nature
ISBN 13 : 3030843041
Total Pages : 544 pages
Book Rating : 4.0/5 (38 download)
Download or read book Transcendence in Algebra, Combinatorics, Geometry and Number Theory written by Alin Bostan and published by Springer Nature. This book was released on 2021-11-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.
Author : Naum Ilʹich Akhiezer
Publisher : American Mathematical Soc.
ISBN 13 : 9780821809006
Total Pages : 237 pages
Book Rating : 4.8/5 (9 download)
Download or read book Elements of the Theory of Elliptic Functions written by Naum Ilʹich Akhiezer and published by American Mathematical Soc.. This book was released on 1990 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the theory of elliptic functions and its applications. Suitable primarily for engineers who work with elliptic functions, this work is also intended for those with background in the elements of mathematical analysis and the theory of functions contained in the first two years of mathematics and physics courses at the college level.
Author : Jan Hendrik Bruinier
Publisher : Springer Science & Business Media
ISBN 13 : 3540741194
Total Pages : 273 pages
Book Rating : 4.5/5 (47 download)
Download or read book The 1-2-3 of Modular Forms written by Jan Hendrik Bruinier and published by Springer Science & Business Media. This book was released on 2008-02-10 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part treats a number of beautiful applications.
