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Book LMSST  24 Lectures on Elliptic Curves

Download or read book LMSST 24 Lectures on Elliptic Curves written by John William Scott Cassels and published by Cambridge University Press. This book was released on 1991-11-21 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introductory text for beginning graduate students that is contemporary in approach without ignoring historical matters.

Book Steps in Commutative Algebra

Download or read book Steps in Commutative Algebra written by R. Y. Sharp and published by Cambridge University Press. This book was released on 2000 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory account of commutative algebra, aimed at students with a background in basic algebra.

Book Permutation Groups

    Book Details:
  • Author : Peter J. Cameron
  • Publisher : Cambridge University Press
  • Release : 1999-02-04
  • ISBN : 9780521653787
  • Pages : 236 pages

Download or read book Permutation Groups written by Peter J. Cameron and published by Cambridge University Press. This book was released on 1999-02-04 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes recent developments in the study of permutation groups for beginning graduate students.

Book Introductory Lectures on Rings and Modules

Download or read book Introductory Lectures on Rings and Modules written by John A. Beachy and published by Cambridge University Press. This book was released on 1999-04-22 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: A first-year graduate text or reference for advanced undergraduates on noncommutative aspects of rings and modules.

Book Introduction to String Theory

Download or read book Introduction to String Theory written by Sergio Cecotti and published by Springer Nature. This book was released on 2023-11-07 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate students typically enter into courses on string theory having little to no familiarity with the mathematical background so crucial to the discipline. As such, this book, based on lecture notes, edited and expanded, from the graduate course taught by the author at SISSA and BIMSA, places particular emphasis on said mathematical background. The target audience for the book includes students of both theoretical physics and mathematics. This explains the book’s "strange" style: on the one hand, it is highly didactic and explicit, with a host of examples for the physicists, but, in addition, there are also almost 100 separate technical boxes, appendices, and starred sections, in which matters discussed in the main text are put into a broader mathematical perspective, while deeper and more rigorous points of view (particularly those from the modern era) are presented. The boxes also serve to further shore up the reader’s understanding of the underlying math. In writing this book, the author’s goal was not to achieve any sort of definitive conciseness, opting instead for clarity and "completeness". To this end, several arguments are presented more than once from different viewpoints and in varying contexts.

Book Maintenance of Supplies and Equipment

Download or read book Maintenance of Supplies and Equipment written by United States. Army Materiel Command and published by . This book was released on 1971 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Hilbert Modular Forms and Iwasawa Theory

Download or read book Hilbert Modular Forms and Iwasawa Theory written by Haruzo Hida and published by Oxford University Press. This book was released on 2006-06-15 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing the applications found for the Wiles and Taylor technique, this book generalizes the deformation theoretic techniques of Wiles-Taylor to Hilbert modular forms (following Fujiwara's treatment), and also discusses applications found by the author.

Book Geometric Modular Forms and Elliptic Curves

Download or read book Geometric Modular Forms and Elliptic Curves written by Haruzo Hida and published by World Scientific. This book was released on 2000-09-27 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura-Taniyama conjecture, is given. In addition, the book presents an outline of the proof of diverse modularity results of two-dimensional Galois representations (including that of Wiles), as well as some of the author's new results in that direction. Contents:An Algebro-Geometric Tool BoxElliptic CurvesGeometric Modular FormsJacobians and Galois RepresentationsModularity Problems Readership: Graduates and researchers in number theory. Keywords:Control Theorems;Shimura-Taniyama-Weil Conjecture;Elliptic Curve;Modular Curve;Deformation Rings;Hecke Algebras;Modular Galois Representations;Moduli Spaces of Elliptic Curves;Modular FormsReviews:“… this is a welcome addition to the literature in a field difficult to penetrate. This book should obviously be carefully studied by advanced students and by professional mathematicians in arithmetic algebraic geometry or (modern) number theory.”Mathematical Reviews “Geometric Modular Forms and Elliptic Curves is suited for both the (advanced and specialized) classroom and (well-prepared and highly motivated) reader bent of serious self-study. Beyond this, the book's prose is clear, there are examples and exercises available, and, as always, the serious student should have a go at them: he will reap wonderful benefits.”MAA Reviews

Book 21st European Symposium on Computer Aided Process Engineering

Download or read book 21st European Symposium on Computer Aided Process Engineering written by and published by Elsevier. This book was released on 2011-06-10 with total page 2082 pages. Available in PDF, EPUB and Kindle. Book excerpt: The European Symposium on Computer Aided Process Engineering (ESCAPE) series presents the latest innovations and achievements of leading professionals from the industrial and academic communities. The ESCAPE series serves as a forum for engineers, scientists, researchers, managers and students to present and discuss progress being made in the area of computer aided process engineering (CAPE). European industries large and small are bringing innovations into our lives, whether in the form of new technologies to address environmental problems, new products to make our homes more comfortable and energy efficient or new therapies to improve the health and well being of European citizens. Moreover, the European Industry needs to undertake research and technological initiatives in response to humanity's "Grand Challenges," described in the declaration of Lund, namely, Global Warming, Tightening Supplies of Energy, Water and Food, Ageing Societies, Public Health, Pandemics and Security. Thus, the Technical Theme of ESCAPE 21 will be "Process Systems Approaches for Addressing Grand Challenges in Energy, Environment, Health, Bioprocessing & Nanotechnologies."

Book Developments in Nonstandard Mathematics

Download or read book Developments in Nonstandard Mathematics written by Nigel J Cutland and published by CRC Press. This book was released on 2020-01-30 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains expository papers and articles reporting on recent research by leading world experts in nonstandard mathematics, arising from the International Colloquium on Nonstandard Mathematics held at the University of Aveiro, Portugal in July 1994. Nonstandard mathematics originated with Abraham Robinson, and the body of ideas that have developed from this theory of nonstandard analysis now vastly extends Robinson's work with infinitesimals. The range of applications includes measure and probability theory, stochastic analysis, differential equations, generalised functions, mathematical physics and differential geometry, moreover, the theory has implicaitons for the teaching of calculus and analysis. This volume contains papers touching on all of the abovbe topics, as well as a biographical note about Abraham Robinson based on the opening address given by W.A>J> Luxemburg - who knew Robinson - to the Aveiro conference which marked the 20th anniversary of Robinson's death. This book will be of particular interest to students and researchers in nonstandard analysis, measure theory, generalised functions and mathematical physics.

Book Number Theory and Algebraic Geometry

Download or read book Number Theory and Algebraic Geometry written by Miles Reid and published by Cambridge University Press. This book was released on 2003 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry.

Book p Adic Automorphic Forms on Shimura Varieties

Download or read book p Adic Automorphic Forms on Shimura Varieties written by Haruzo Hida and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the early years of the 1980s, while I was visiting the Institute for Ad vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a prime among elliptic modular forms, that an automorphic L-function of a given algebraic group G should have a canon ical p-adic counterpart of several variables. I immediately decided to find out the reason behind this phenomenon and to develop the theory of ordinary p-adic automorphic forms, allocating 10 to 15 years from that point, putting off the intended arithmetic study of Shimura varieties via L-functions and Eisenstein series (for which I visited lAS). Although it took more than 15 years, we now know (at least conjecturally) the exact number of variables for a given G, and it has been shown that this is a universal phenomenon valid for holomorphic automorphic forms on Shimura varieties and also for more general (nonholomorphic) cohomological automorphic forms on automorphic manifolds (in a markedly different way). When I was asked to give a series of lectures in the Automorphic Semester in the year 2000 at the Emile Borel Center (Centre Emile Borel) at the Poincare Institute in Paris, I chose to give an exposition of the theory of p-adic (ordinary) families of such automorphic forms p-adic analytically de pending on their weights, and this book is the outgrowth of the lectures given there.

Book Representation Theory of Finite Reductive Groups

Download or read book Representation Theory of Finite Reductive Groups written by Marc Cabanes and published by Cambridge University Press. This book was released on 2004-01-29 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Book Private Telegraphic Code for Land Line Telegrams Between Points in the United States  Canada and Mexico Used by the United States Steel Corporation and Its Subsidiary Companies

Download or read book Private Telegraphic Code for Land Line Telegrams Between Points in the United States Canada and Mexico Used by the United States Steel Corporation and Its Subsidiary Companies written by United States Steel Corporation and published by . This book was released on 1911 with total page 1002 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Elementary Modular Iwasawa Theory

Download or read book Elementary Modular Iwasawa Theory written by Haruzo Hida and published by World Scientific. This book was released on 2021-10-04 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to provide a comprehensive and elementary account of the new Iwasawa theory innovated via the deformation theory of modular forms and Galois representations. The deformation theory of modular forms is developed by generalizing the cohomological approach discovered in the author's 2019 AMS Leroy P Steele Prize-winning article without using much algebraic geometry.Starting with a description of Iwasawa's classical results on his proof of the main conjecture under the Kummer-Vandiver conjecture (which proves cyclicity of his Iwasawa module more than just proving his main conjecture), we describe a generalization of the method proving cyclicity to the adjoint Selmer group of every ordinary deformation of a two-dimensional Artin Galois representation.The fundamentals in the first five chapters are as follows:Many open problems are presented to stimulate young researchers pursuing their field of study.

Book p Adic Aspects of Modular Forms

Download or read book p Adic Aspects of Modular Forms written by Baskar Balasubramanyam and published by World Scientific. This book was released on 2016-06-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied. We first look at p-adic families in the following cases: general linear groups, symplectic groups and definite unitary groups. We also look at applications of this theory to modularity lifting problems. We finally consider p-adic L-functions for GL(2), the p-adic adjoint L-functions and some cases of higher GL(n). Contents:An Overview of Serre's p-Adic Modular Forms (Miljan Brakočević and R Sujatha)p-Adic Families of Ordinary Siegel Cusp Forms (Jacques Tilouine)Ordinary Families of Automorphic Forms on Definite Unitary Groups (Baskar Balasubramanyam and Dipramit Majumdar)Notes on Modularity Lifting in the Ordinary Case (David Geraghty)p-Adic L-Functions for Hilbert Modular Forms (Mladen Dimitrov)Arithmetic of Adjoint L-Values (Haruzo Hida)p-Adic L-Functions for GLn (Debargha Banerjee and A Raghuram)Non-Triviality of Generalised Heegner Cycles Over Anticyclotomic Towers: A Survey (Ashay A Burungale)The Euler System of Heegner Points and p-Adic L-Functions (Ming-Lun Hsieh)Non-Commutative q-Expansions (Mahesh Kakde) Readership: Researchers in algebra and number theory.