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Current Developments In Mathematics 1995 Preliminary Edition


Current Developments In Mathematics 1995 Preliminary Edition
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Current Developments In Mathematics 1995 Preliminary Edition


Current Developments In Mathematics 1995 Preliminary Edition
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Author : International Press of Boston, Incorporated
language : en
Publisher:
Release Date : 1996-03

Current Developments In Mathematics 1995 Preliminary Edition written by International Press of Boston, Incorporated and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-03 with categories.


The Current Developments in Mathematics (CDM) Conference is an annual seminar devoted to surveying the developments in mathematics each year. This title features the proceedings of the conference jointly hosted by Harvard University and the Massachusetts Institute of Technology.



Modular Forms And Fermat S Last Theorem


Modular Forms And Fermat S Last Theorem
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Author : Gary Cornell
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Modular Forms And Fermat S Last Theorem written by Gary Cornell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.


This volume contains expanded versions of lectures given at an instructional conference on number theory and arithmetic geometry held August 9 through 18, 1995 at Boston University. Contributor's includeThe purpose of the conference, and of this book, is to introduce and explain the many ideas and techniques used by Wiles in his proof that every (semi-stable) elliptic curve over Q is modular, and to explain how Wiles' result can be combined with Ribet's theorem and ideas of Frey and Serre to show, at long last, that Fermat's Last Theorem is true. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions, modular curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of Wiles' proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serre's conjectures, Galois deformations, universal deformation rings, Hecke algebras, complete intersections and more, as the reader is led step-by-step through Wiles' proof. In recognition of the historical significance of Fermat's Last Theorem, the volume concludes by looking both forward and backward in time, reflecting on the history of the problem, while placing Wiles' theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this volume to be an indispensable resource for mastering the epoch-making proof of Fermat's Last Theorem.



Project Impact Disseminating Innovation In Undergraduate Education


Project Impact Disseminating Innovation In Undergraduate Education
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Author : Ann McNeal
language : en
Publisher: DIANE Publishing
Release Date : 1998-02

Project Impact Disseminating Innovation In Undergraduate Education written by Ann McNeal and has been published by DIANE Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02 with Education categories.


Contains abstracts of innovative projects designed to improve undergraduate education in science, mathematics, engineering, and technology. Descriptions are organized by discipline and include projects in: astronomy, biology, chemistry, computer science, engineering, geological sciences, mathematics, physics, and social sciences, as well as a selection of interdisciplinary projects. Each abstract includes a description of the project, published and other instructional materials, additional products of the project, and information on the principal investigator and participating institutions.



Notes On Fermat S Last Theorem


Notes On Fermat S Last Theorem
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Author : A. J. Van Der Poorten
language : en
Publisher: Wiley-Interscience
Release Date : 1996-02-16

Notes On Fermat S Last Theorem written by A. J. Van Der Poorten and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-02-16 with Mathematics categories.


This book offers the first serious treatment of Fermat's Last Theorem since Wiles's proof. It is based on a series of lectures given by the author to celebrate Wiles's achievement, with each chapter explaining a separate area of number theory as it pertains to Fermat's Last Theorem. Together, they provide a concise history of the theorem as well as a brief discussion of Wiles's proof and its implications. Requiring little more than one year of university mathematics and some interest in formulas, this overview provides many useful tips and cites numerous references for those who desire more mathematical detail.



Space Time Matter


Space Time Matter
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Author : Jochen Brüning
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-04-09

Space Time Matter written by Jochen Brüning and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-09 with Mathematics categories.


This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space – Time – Matter", in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy – Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson–Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity



Resources In Education


Resources In Education
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Author :
language : en
Publisher:
Release Date : 1998

Resources In Education written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Education categories.




History In Mathematics Education


History In Mathematics Education
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Author : John Fauvel
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-07-31

History In Mathematics Education written by John Fauvel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-31 with Education categories.


This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.



Bulletin


Bulletin
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Author :
language : en
Publisher:
Release Date : 1993

Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.




Monthly Catalog Of United States Government Publications


Monthly Catalog Of United States Government Publications
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Author :
language : en
Publisher:
Release Date : 1995

Monthly Catalog Of United States Government Publications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Government publications categories.




Monthly Catalogue United States Public Documents


Monthly Catalogue United States Public Documents
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Author :
language : en
Publisher:
Release Date : 1995

Monthly Catalogue United States Public Documents written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Government publications categories.