Download or read book Analysis Manifolds and Physics Revised Edition written by Yvonne Choquet-Bruhat and published by Gulf Professional Publishing. This book was released on 1982 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled ``Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.
Download or read book Analysis Manifolds and Physics Part II Revised and Enlarged Edition written by Y. Choquet-Bruhat and published by Elsevier. This book was released on 2000-11-08 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twelve problems have been added to the first edition; four of them are supplements to problems in the first edition. The others deal with issues that have become important, since the first edition of Volume II, in recent developments of various areas of physics. All the problems have their foundations in volume 1 of the 2-Volume set Analysis, Manifolds and Physics. It would have been prohibitively expensive to insert the new problems at their respective places. They are grouped together at the end of this volume, their logical place is indicated by a number of parenthesis following the title.
Download or read book Analysis manifolds and physics written by Yvonne Choquet-Bruhat and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis Manifolds Physics REV Ed written by Yvonne Choquet-Bruhat and published by North-Holland. This book was released on 1982-06 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.
Download or read book Analysis Manifolds and Physics written by Yvonne Choquet-Bruhat and published by Elsevier Science & Technology. This book was released on 1989 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second, companion volume contains 92 applications developing concepts and theorems presented or mentioned in the first volume. Introductions to and applications in several areas not previously covered are also included such as graded algebras with applications to Clifford algebras and (S)pin groups, Weyl Spinors, Majorana pinors, homotopy, supersmooth mappings and Berezin integration, Noether's theorems, homogeneous spaces with applications to Stiefel and Grassmann manifolds, cohomology with applications to (S)pin structures, Bauml;cklund transformations, Poisson manifolds, conformal transformations, Kaluza-Klein theories, Calabi-Yau spaces, universal bundles, bundle reduction and symmetry breaking, Euler-Poincareacute; characteristics, Chern-Simons classes, anomalies, Sobolev embedding, Sobolev inequalities, Wightman distributions and Schwinger functions.The material included covers an unusually broad area and the choice of problems is guided by recent applications of differential geometry to fundamental problems of physics as well as by the authors' personal interests. Many mathematical tools of interest to physicists are presented in a self-contained manner, or are complementary to material already presented in part I. All the applications are presented in the form of problems with solutions in order to stress the questions the authors wished to answer and the fundamental ideas underlying applications. The answers to the solutions are explicitly worked out, with the rigor necessary for a correct usage of the concepts and theorems used in the book. This approach also makes part I accessible to a much larger audience.The book has been enriched by contributions from Charles Doering, Harold Grosse, B. Kent Harrison, N.H. Ibragimov and Carlos Moreno, and collaborations with Ioannis Bakas, Steven Carlip, Gary Hamrick, Humberto La Roche and Gary Sammelmann.
Download or read book Analysis Manifolds and Physics written by and published by . This book was released on 1978 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis Manifolds and Physics written by Yvonne Choquet-Bruhat and published by . This book was released on 2000 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis Manifolds and Physics written by Yvonne Choquet-Bruhat and published by . This book was released on 1982 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis Manifolds and Physics written by Yvonne Choquet Bruhat and published by . This book was released on 1989 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis Manifolds and Physics written by Yvonne Choquet-Bruhat and published by JAI Press(NY). This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twelve problems have been added to the first edition; four of them are supplements to problems in the first edition. The others deal with issues that have become important, since the first edition of Volume II, in recent developments of various areas of physics. All the problems have their foundations in volume 1 of the 2-Volume set Analysis, Manifolds and Physics. It would have been prohibitively expensive to insert the new problems at their respective places. They are grouped together at the end of this volume, their logical place is indicated by a number of parenthesis following the title.
Download or read book Tensor Analysis on Manifolds written by Richard L. Bishop and published by Courier Corporation. This book was released on 2012-04-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div
Download or read book Analysis and Algebra on Differentiable Manifolds A Workbook for Students and Teachers written by P.M. Gadea and published by Springer Science & Business Media. This book was released on 2009-12-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: A famous Swiss professor gave a student’s course in Basel on Riemann surfaces. After a couple of lectures, a student asked him, “Professor, you have as yet not given an exact de nition of a Riemann surface.” The professor answered, “With Riemann surfaces, the main thing is to UNDERSTAND them, not to de ne them.” The student’s objection was reasonable. From a formal viewpoint, it is of course necessary to start as soon as possible with strict de nitions, but the professor’s - swer also has a substantial background. The pure de nition of a Riemann surface— as a complex 1-dimensional complex analytic manifold—contributes little to a true understanding. It takes a long time to really be familiar with what a Riemann s- face is. This example is typical for the objects of global analysis—manifolds with str- tures. There are complex concrete de nitions but these do not automatically explain what they really are, what we can do with them, which operations they really admit, how rigid they are. Hence, there arises the natural question—how to attain a deeper understanding? One well-known way to gain an understanding is through underpinning the d- nitions, theorems and constructions with hierarchies of examples, counterexamples and exercises. Their choice, construction and logical order is for any teacher in global analysis an interesting, important and fun creating task.
Download or read book Manifolds Tensor Analysis and Applications written by Ralph Abraham and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian mechanics, fluid me chanics, electromagnetism, plasma dynamics and control thcory arc given in Chapter 8, using both invariant and index notation. The current edition of the book does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory. Some of this is planned for a subsequent edition. Meanwhile, the authors will make available to interested readers supplementary chapters on Lie Groups and Differential Topology and invite comments on the book's contents and development. Throughout the text supplementary topics are given, marked with the symbols ~ and {l:;J. This device enables the reader to skip various topics without disturbing the main flow of the text. Some of these provide additional background material intended for completeness, to minimize the necessity of consulting too many outside references. We treat finite and infinite-dimensional manifolds simultaneously. This is partly for efficiency of exposition. Without advanced applications, using manifolds of mappings, the study of infinite-dimensional manifolds can be hard to motivate.
Download or read book Global Analysis written by Ilka Agricola and published by American Mathematical Soc.. This book was released on 2002 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The final third of the book applies the mathematical ideas to important areas of physics: Hamiltonian mechanics, statistical mechanics, and electrodynamics." "There are many classroom-tested exercises and examples with excellent figures throughout. The book is ideal as a text for a first course in differential geometry, suitable for advanced undergraduates or graduate students in mathematics or physics."--BOOK JACKET.
Download or read book Tensors and Manifolds written by Robert Wasserman and published by Oxford University Press, USA. This book was released on 2004 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sets forth the basic principles of tensors and manifolds and describes how the mathematics underlies elegant geometrical models of classical mechanics, relativity and elementary particle physics.
Download or read book Differential Manifolds and Theoretical Physics written by and published by Academic Press. This book was released on 1985-05-24 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Manifolds and Theoretical Physics
Download or read book Calculus on Manifolds written by Michael Spivak and published by Westview Press. This book was released on 1965 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.
