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Author: Fernando Q. Gouvea Publisher: Springer ISBN: 3540388540 Category : Mathematics Languages : en Pages : 129
Book Description
The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on Galois representations are new, and will be of interest even to the experts. A list of further problems in the field is included to guide the beginner in his research. The book will thus be of interest to number theorists who wish to learn about p-adic modular forms, leading them rapidly to interesting research, and also to the specialists in the subject.
Author: Fernando Q. Gouvea Publisher: Springer ISBN: 3540388540 Category : Mathematics Languages : en Pages : 129
Book Description
The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on Galois representations are new, and will be of interest even to the experts. A list of further problems in the field is included to guide the beginner in his research. The book will thus be of interest to number theorists who wish to learn about p-adic modular forms, leading them rapidly to interesting research, and also to the specialists in the subject.
Author: David Lovelock Publisher: Courier Corporation ISBN: 048613198X Category : Mathematics Languages : en Pages : 402
Book Description
Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.
Author: Daniel Z. Freedman Publisher: Cambridge University Press ISBN: 1139642855 Category : Science Languages : en Pages : 626
Book Description
Supergravity, together with string theory, is one of the most significant developments in theoretical physics. Written by two of the most respected workers in the field, this is the first-ever authoritative and systematic account of supergravity. The book starts by reviewing aspects of relativistic field theory in Minkowski spacetime. After introducing the relevant ingredients of differential geometry and gravity, some basic supergravity theories (D=4 and D=11) and the main gauge theory tools are explained. In the second half of the book, complex geometry and N=1 and N=2 supergravity theories are covered. Classical solutions and a chapter on AdS/CFT complete the book. Numerous exercises and examples make it ideal for Ph.D. students, and with applications to model building, cosmology and solutions of supergravity theories, it is also invaluable to researchers. A website hosted by the authors, featuring solutions to some exercises and additional reading material, can be found at www.cambridge.org/supergravity.
Author: Daniel Zwillinger Publisher: CRC Press ISBN: 1351651005 Category : Mathematics Languages : en Pages : 926
Book Description
Containing more than 6,000 entries, CRC Standard Mathematical Tables and Formulas, 33rd Edition continues to provide essential formulas, tables, figures and detailed descriptions. The newest edition of this popular series also features many diagrams, group tables, and integrals that are not available online. This edition also incorporates important topics such as max plus algebra, financial options, pseudospectra, and proof methods. Newly updated topics reflecting new results include couple analogues, radar, and significant equations of mathematics. New features of the 33rd edition include: Larger trim size, five new topics, and topics which have been modified to update results Provides practical, ready-to-use information and covers important topics that are unfamiliar to many readers, such as visual proofs and sequences Includes hard-to-find and more complete information than found in the Internet such as table of conformal mappings and integral tables Adds descriptions of new functions: Lambert, prolate spheroidal, and Weierstrass Even though the book has been updated it retains the same successful format of previous editions in that material is still presented in a multi-sectional format.
Author: Fernando Q. Gouvea
Author: Fernando Q. Gouvea
Author: 
Author: David Lovelock![Catalogue of the Public Documents of the [the Fifty-third] Congress [to the 76th Congress] and of All Departments of the Government of the United States PDF](https://books.google.com/books/content/images/frontcover/kY6b8QaGLksC?fife=w80-h100)
Author: United States. Superintendent of Documents
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Author: United States. Superintendent of Documents
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Author: Daniel Z. Freedman
Author: New York (State). Legislature. Senate
Author: Daniel Zwillinger