An Introduction To G Del S Theorems
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The Philosophy And Physics Of Noether S Theorems
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Author : James Read
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-29
The Philosophy And Physics Of Noether S Theorems written by James Read and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-29 with Science categories.
In 1918, Emmy Noether, in her paper Invariante Variationsprobleme, proved two theorems (and their converses) on variational problems that went on to revolutionise theoretical physics. 100 years later, the mathematics of Noether's theorems continues to be generalised, and the physical applications of her results continue to diversify. This centenary volume brings together world-leading historians, philosophers, physicists, and mathematicians in order to clarify the historical context of this work, its foundational and philosophical consequences, and its myriad physical applications. Suitable for advanced undergraduate and graduate students and professional researchers, this is a go-to resource for those wishing to understand Noether's work on variational problems and the profound applications which it finds in contemporary physics.
Character Theory For The Odd Order Theorem
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Author : Thomas Peterfalvi
language : en
Publisher: Cambridge University Press
Release Date : 2000-02-28
Character Theory For The Odd Order Theorem written by Thomas Peterfalvi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-28 with Mathematics categories.
The famous and important theorem of W. Feit and J. G. Thompson states that every group of odd order is solvable, and the proof of this has roughly two parts. The first part appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem which was number 188 in this series. This book provides the character-theoretic second part and thus completes the proof. All researchers in group theory should have a copy of this book in their library.
Selected Works Of E L Lehmann
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Author : Javier Rojo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-16
Selected Works Of E L Lehmann written by Javier Rojo 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 2012-01-16 with Mathematics categories.
These volumes present a selection of Erich L. Lehmann’s monumental contributions to Statistics. These works are multifaceted. His early work included fundamental contributions to hypothesis testing, theory of point estimation, and more generally to decision theory. His work in Nonparametric Statistics was groundbreaking. His fundamental contributions in this area include results that came to assuage the anxiety of statisticians that were skeptical of nonparametric methodologies, and his work on concepts of dependence has created a large literature. The two volumes are divided into chapters of related works. Invited contributors have critiqued the papers in each chapter, and the reprinted group of papers follows each commentary. A complete bibliography that contains links to recorded talks by Erich Lehmann – and which are freely accessible to the public – and a list of Ph.D. students are also included. These volumes belong in every statistician’s personal collection and are a required holding for any institutional library.
Proofs Of The Cantor Bernstein Theorem
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Author : Arie Hinkis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-26
Proofs Of The Cantor Bernstein Theorem written by Arie Hinkis 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 2013-02-26 with Mathematics categories.
This book offers an excursion through the developmental area of research mathematics. It presents some 40 papers, published between the 1870s and the 1970s, on proofs of the Cantor-Bernstein theorem and the related Bernstein division theorem. While the emphasis is placed on providing accurate proofs, similar to the originals, the discussion is broadened to include aspects that pertain to the methodology of the development of mathematics and to the philosophy of mathematics. Works of prominent mathematicians and logicians are reviewed, including Cantor, Dedekind, Schröder, Bernstein, Borel, Zermelo, Poincaré, Russell, Peano, the Königs, Hausdorff, Sierpinski, Tarski, Banach, Brouwer and several others mainly of the Polish and the Dutch schools. In its attempt to present a diachronic narrative of one mathematical topic, the book resembles Lakatos’ celebrated book Proofs and Refutations. Indeed, some of the observations made by Lakatos are corroborated herein. The analogy between the two books is clearly anything but superficial, as the present book also offers new theoretical insights into the methodology of the development of mathematics (proof-processing), with implications for the historiography of mathematics.
Fermat S Last Theorem The Proof
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Author : Takeshi Saito
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-12-18
Fermat S Last Theorem The Proof written by Takeshi Saito and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-18 with Mathematics categories.
This is the second volume of the book on the proof of Fermat's Last Theorem by Wiles and Taylor (the first volume is published in the same series; see MMONO/243). Here the detail of the proof announced in the first volume is fully exposed. The book also includes basic materials and constructions in number theory and arithmetic geometry that are used in the proof. In the first volume the modularity lifting theorem on Galois representations has been reduced to properties of the deformation rings and the Hecke modules. The Hecke modules and the Selmer groups used to study deformation rings are constructed, and the required properties are established to complete the proof. The reader can learn basics on the integral models of modular curves and their reductions modulo that lay the foundation of the construction of the Galois representations associated with modular forms. More background materials, including Galois cohomology, curves over integer rings, the Néron models of their Jacobians, etc., are also explained in the text and in the appendices.
Enumerative Combinatorics Volume 2
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Author : Richard P. Stanley
language : en
Publisher: Cambridge University Press
Release Date : 1999-01-13
Enumerative Combinatorics Volume 2 written by Richard P. Stanley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-13 with Mathematics categories.
This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on combinatorics, and includes the important Robinson-Schensted-Knuth algorithm. Also covered are connections between symmetric functions and representation theory. An appendix by Sergey Fomin covers some deeper aspects of symmetric function theory, including jeu de taquin and the Littlewood-Richardson rule. As in Volume 1, the exercises play a vital role in developing the material. There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.
Zariski Geometries
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Author : Boris Zilber
language : en
Publisher: Cambridge University Press
Release Date : 2010-02-04
Zariski Geometries written by Boris Zilber and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-04 with Mathematics categories.
This book presents methods and results from the theory of Zariski structures and discusses their applications in geometry as well as various other mathematical fields. Beginning with a crash course in model theory, this book will suit not only model theorists but also readers with a more classical geometric background.
Conformal Fractals
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Author : Feliks Przytycki
language : en
Publisher: Cambridge University Press
Release Date : 2010-05-06
Conformal Fractals written by Feliks Przytycki and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-06 with Mathematics categories.
A one-stop introduction to the methods of ergodic theory applied to holomorphic iteration that is ideal for graduate courses.
Of False Discontinuity With Illustrations From Fourier S Theorem And The Calculus Of Variations
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Author : Michael Marlow Umfreville Wilkinson
language : en
Publisher:
Release Date : 1871
Of False Discontinuity With Illustrations From Fourier S Theorem And The Calculus Of Variations written by Michael Marlow Umfreville Wilkinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1871 with Calculus of variations categories.
S Minaire De Probabilit S Xxxii
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Author : Jacques Azema
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-05-20
S Minaire De Probabilit S Xxxii written by Jacques Azema 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 1998-05-20 with Mathematics categories.
All the papers in the volume are original research papers, discussing fundamental properties of stochastic processes. The topics under study (martingales, filtrations, path properties, etc.) represent an important part of the current research performed in 1996-97 by various groups of probabilists in France and abroad.