Crm Proceedings Lecture Notes
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| Author | : H. Kisilevsky |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 208 |
| Release | : 1994-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780821870358 |
This book represents the proceedings of a workshop on elliptic curves held in St. Adele, Quebec, in February 1992. Containing both expository and research articles on the theory of elliptic curves, this collection covers a range of topics, from Langlands's theory to the algebraic geometry of elliptic curves, from Iwasawa theory to computational aspects of elliptic curves. This book is especially significant in that it covers topics comprising the main ingredients in Andrew Wiles's recent result on Fermat's Last Theorem.
| Author | : Andrew Granville |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 348 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 9780821870396 |
This book, based in part on lectures delivered at the 2006 CRM-Clay School on Additive Combinatorics, brings together some of the top researchers in one of the hottest topics in analysis today. This new subject brings together ideas from many different areas to prove some extraordinary results. The book encompasses proceedings from the school, articles on open questions in additive combinatorics, and new research.
| Author | : Galia Devora Dafni |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 241 |
| Release | : 2013 |
| Genre | : Mathematics |
| ISBN | : 0821894188 |
Contains lecture notes from most of the courses presented at the 50th anniversary edition of the Seminaire de Mathematiques Superieure in Montreal. This 2011 summer school was devoted to the analysis and geometry of metric measure spaces, and featured much interplay between this subject and the emergent topic of optimal transportation.
| Author | : |
| Publisher | : |
| Total Pages | : 297 |
| Release | : 2008 |
| Genre | : Integrals |
| ISBN | : 9781470439606 |
The book is mostly devoted to the study of the prime factors of integers, their size and their quantity, to good bounds on the number of integers with different properties (for example, those with only large prime factors) and to the distribution of divisors of integers in a given interval. In particular, various estimates concerning smooth numbers are developed. A large emphasis is put on the study of additive and multiplicative functions as well as various arithmetic functions such as the partition function. More specific topics include the Erdős-Kac Theorem, cyclotomic polynomials, combinat.
| Author | : Jacques Hurtubise and Eyal Markman |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 268 |
| Release | : |
| Genre | : Algebra, Abstract |
| ISBN | : 9780821870334 |
This book contains recent and exciting developments on the structure of moduli spaces, with an emphasis on the algebraic structures that underlie this structure. Topics covered include Hilbert schemes of points, moduli of instantons, coherent sheaves and their derived categories, moduli of flat connections, Hodge structures, and the topology of affine varieties. Two beautiful series of lectures are a particularly fine feature of the book. One is an introductory series by Manfred Lehn on the topology and geometry of Hilbert schemes of points on surfaces, and the other, by Hiraku Nakajima and Kota Yoshioka, explains their recent work on the moduli space of instantons over ${\mathbb R 4$. The material is suitable for graduate students and researchers interested in moduli spaces in algebraic geometry, topology, and mathematical physics.
| Author | : H. Kisilevsky |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 329 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 0821833316 |
Collects articles from the meeting of the Canadian Number Theory Association held at the Centre de Recherches Mathematiques (CRM) at the University of Montreal. This book covers topics such as algebraic number theory, analytic number theory, arithmetic algebraic geometry, computational number theory, and Diophantine analysis and approximation.
| Author | : Maruti Ram Murty |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 188 |
| Release | : 1993-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780821870112 |
This book contains lectures on theta functions written by experts well known for excellence in exposition. The lectures represent the content of four courses given at the Centre de Recherches Mathematiques in Montreal during the academic year 1991-1992, which was devoted to the study of automorphic forms. Aimed at graduate students, the book synthesizes the classical and modern points of view in theta functions, concentrating on connections to number theory and representation theory. An excellent introduction to this important subject of current research, this book is suitable as a text in advanced graduate courses.
| Author | : Stanley Alama |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 284 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 9780821873311 |
This book contains papers presented at the "Workshop on Singularities in PDE and the Calculus of Variations" at the CRM in July 2006. The main theme of the meeting was the formation of geometrical singularities in PDE problems with a variational formulation. These equations typically arise in some applications (to physics, engineering, or biology, for example) and their resolution often requires a combination of methods coming from areas such as functional and harmonic analysis, differential geometry and geometric measure theory. Among the PDE problems discussed were: the Cahn-Hilliard model of phase transitions and domain walls; vortices in Ginzburg-Landau type models for superconductivity and superfluidity; the Ohna-Kawasaki model for di-block copolymers; models of image enhancement; and Monge-Ampere functions. The articles give a sampling of problems and methods in this diverse area of mathematics, which touches a large part of modern mathematics and its applications.
| Author | : Donald Ervin Knuth |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 90 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 0821806033 |
Uses the theory of stable marriage to introduce and illustrate a variety of important concepts and techniques of computer science and mathematics: data structures, control structures, combinatorics, probability, analysis, algebra, and especially the analysis of algorithms.
| Author | : Luc Vinet |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 508 |
| Release | : 1997-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780821870136 |
Just list for purposes of NBB.
