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LMSST: 24 Lectures on Elliptic Curves

LMSST: 24 Lectures on Elliptic Curves
Author: John William Scott Cassels
Publisher: Cambridge University Press
Total Pages: 148
Release: 1991-11-21
Genre: Mathematics
ISBN: 9780521425308

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A self-contained introductory text for beginning graduate students that is contemporary in approach without ignoring historical matters.


Steps in Commutative Algebra

Steps in Commutative Algebra
Author: R. Y. Sharp
Publisher: Cambridge University Press
Total Pages: 371
Release: 2000
Genre: Mathematics
ISBN: 0521646235

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Introductory account of commutative algebra, aimed at students with a background in basic algebra.


Permutation Groups

Permutation Groups
Author: Peter J. Cameron
Publisher: Cambridge University Press
Total Pages: 236
Release: 1999-02-04
Genre: Mathematics
ISBN: 9780521653787

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This book summarizes recent developments in the study of permutation groups for beginning graduate students.


Introduction to String Theory

Introduction to String Theory
Author: Sergio Cecotti
Publisher: Springer Nature
Total Pages: 846
Release: 2023-11-07
Genre: Science
ISBN: 3031365305

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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.


Maintenance of Supplies and Equipment

Maintenance of Supplies and Equipment
Author: United States. Army Materiel Command
Publisher:
Total Pages: 116
Release: 1971
Genre: Military supplies
ISBN:

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Hilbert Modular Forms and Iwasawa Theory

Hilbert Modular Forms and Iwasawa Theory
Author: Haruzo Hida
Publisher: Oxford University Press
Total Pages: 417
Release: 2006-06-15
Genre: Mathematics
ISBN: 019857102X

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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.


Geometric Modular Forms and Elliptic Curves

Geometric Modular Forms and Elliptic Curves
Author: Haruzo Hida
Publisher: World Scientific
Total Pages: 376
Release: 2000-09-27
Genre: Mathematics
ISBN: 9814492892

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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


21st European Symposium on Computer Aided Process Engineering

21st European Symposium on Computer Aided Process Engineering
Author:
Publisher: Elsevier
Total Pages: 2082
Release: 2011-06-10
Genre: Science
ISBN: 0444538968

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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."


Developments in Nonstandard Mathematics

Developments in Nonstandard Mathematics
Author: Nigel J Cutland
Publisher: CRC Press
Total Pages: 273
Release: 2020-01-30
Genre: Mathematics
ISBN: 1000716821

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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.