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.
Download or read book Universal Algebra written by George Grätzer and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: Universal Algebra has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well selected additional bibliography of over 1250 papers and books which makes this an indispensable new edition for students, faculty, and workers in the field.
Download or read book The Transcendence and Algebraic Independence of the Values of Certain E functions written by Keijo Väänänen and published by . This book was released on 1973 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Algebraic Independence of Trancendental Numbers of Certain Classes written by Aleksandr Osipovich Gelʹfond and published by . This book was released on 1952 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diophantine Approximation on Linear Algebraic Groups written by Michel Waldschmidt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.
Download or read book Introduction to Algebraic Independence Theory written by Yuri V. Nesterenko and published by . This book was released on 2014-01-15 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Panorama of Number Theory Or The View from Baker s Garden written by Gisbert Wüstholz and published by Cambridge University Press. This book was released on 2002-09-26 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a selection of high quality articles on number theory by leading figures.
Download or read book On the Algebraic Independence of Transcendental Numbers of Certain Clauses written by Aleksandr Osipovich Gelʹfond and published by . This book was released on 1952 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic Number Theory and Diophantine Analysis written by F. Halter-Koch and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Download or read book Basic Abstract Algebra written by Robert B. Ash and published by Courier Corporation. This book was released on 2007-01-01 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward upper-level undergraduates and graduate students, this text surveys fundamental algebraic structures and maps between these structures. Its techniques are used in many areas of mathematics, with applications to physics, engineering, and computer science as well. Author Robert B. Ash, a Professor of Mathematics at the University of Illinois, focuses on intuitive thinking. He also conveys the intrinsic beauty of abstract algebra while keeping the proofs as brief and clear as possible. The early chapters provide students with background by investigating the basic properties of groups, rings, fields, and modules. Later chapters examine the relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of algebraic number theory, algebraic geometry, noncommutative algebra, and homological algebra, including categories and functors. An extensive supplement to the text delves much further into homological algebra than most introductory texts, offering applications-oriented results. Solutions to all problems appear in the text.
Download or read book Foundations of Algebraic Geometry written by Andr Weil and published by American Mathematical Soc.. This book was released on 1946-12-31 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely self-contained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract fields and their extensions, and the bare rudiments of the theory of ideals.
Download or read book Abstract Algebra with Applications written by Karlheinz Spindler and published by CRC Press. This book was released on 1993-10-18 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains.
Download or read book Fifteen Papers on Algebra written by and published by American Mathematical Soc.. This book was released on 1966-12-31 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Algebra written by K. P. Shum and published by World Scientific. This book was released on 2003 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the ICM2002 Satellite Conference on Algebras. Over 175 participants attended the meeting. The opening ceremony included an address by R. Gonchidorsh, former vice-president of the Mongolian Republic in Uaalannbaatar. The topics covered at the conference included general algebras, semigroups, groups, rings, hopf algebras, modules, codes, languages, automation theory, graphs, fuzz algebras and applications.
Download or read book Abstract Algebra written by Pierre Antoine Grillet and published by Springer Science & Business Media. This book was released on 2007-07-21 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: A completely reworked new edition of this superb textbook. This key work is geared to the needs of the graduate student. It covers, with proofs, the usual major branches of groups, rings, fields, and modules. Its inclusive approach means that all of the necessary areas are explored, while the level of detail is ideal for the intended readership. The text tries to promote the conceptual understanding of algebra as a whole, doing so with a masterful grasp of methodology. Despite the abstract subject matter, the author includes a careful selection of important examples, together with a detailed elaboration of the more sophisticated, abstract theories.
Download or read book Algebra written by B.L. van der Waerden and published by Springer Science & Business Media. This book was released on 2003-10-21 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based in part on lectures by E. Artin and E. Noether
Download or read book A Primer of Algebraic Geometry written by Huishi Li and published by CRC Press. This book was released on 2017-12-19 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Presents the structure of algebras appearing in representation theory of groups and algebras with general ring theoretic methods related to representation theory. Covers affine algebraic sets and the nullstellensatz, polynomial and rational functions, projective algebraic sets. Groebner basis, dimension of algebraic sets, local theory, curves and elliptic curves, and more."
