Differential Forms And Connections

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Differential Forms And Connections

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Author : R. W. R. Darling
language : en
Publisher: Cambridge University Press
Release Date : 1994-09-22

Differential Forms And Connections written by R. W. R. Darling 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 1994-09-22 with Mathematics categories.

This 1994 book introduces the tools of modern differential geometry, exterior calculus, manifolds, vector bundles and connections, to advanced undergraduate and beginning graduate students in mathematics, physics and engineering. The book covers both classical surface theory and the modern theory of connections and curvature, and includes a chapter on applications to theoretical physics. The only prerequisites are multivariate calculus and linear algebra; no knowledge of topology is assumed. The powerful and concise calculus of differential forms is used throughout. Through the use of numerous concrete examples, the author develops computational skills in the familiar Euclidean context before exposing the reader to the more abstract setting of manifolds. There are nearly 200 exercises, making the book ideal for both classroom use and self-study.

Differential Forms And Connections

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Author : R. W. R. Darling
language : en
Publisher: Cambridge University Press
Release Date : 1994-09-22

Differential Forms And Connections written by R. W. R. Darling 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 1994-09-22 with Mathematics categories.

Introducing the tools of modern differential geometry--exterior calculus, manifolds, vector bundles, connections--this textbook covers both classical surface theory, the modern theory of connections, and curvature. With no knowledge of topology assumed, the only prerequisites are multivariate calculus and linear algebra.

Differential Forms In Mathematical Physics

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Author :
language : en
Publisher: Elsevier
Release Date : 2009-06-17

Differential Forms In Mathematical Physics written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-17 with Mathematics categories.

Differential Forms in Mathematical Physics

Connections In Classical And Quantum Field Theory

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Author : Luigi Mangiarotti
language : en
Publisher: World Scientific
Release Date : 2000-04-28

Connections In Classical And Quantum Field Theory written by Luigi Mangiarotti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-28 with Science categories.

Geometrical notions and methods play an important role in both classical and quantum field theory, and a connection is a deep structure which apparently underlies the gauge-theoretical models in field theory and mechanics. This book is an encyclopaedia of modern geometric methods in theoretical physics. It collects together the basic mathematical facts about various types of connections, and provides a detailed exposition of relevant physical applications. It discusses the modern issues concerning the gauge theories of fundamental fields. The authors have tried to give all the necessary mathematical background, thus making the book self-contained.This book should be useful to graduate students, physicists and mathematicians who are interested in the issue of deep interrelations between theoretical physics and geometry.

Connections Curvature And Cohomology

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Author : Werner Hildbert Greub
language : en
Publisher: Academic Press
Release Date : 1972

Connections Curvature And Cohomology written by Werner Hildbert Greub and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.

This monograph developed out of the Abendseminar of 1958-1959 at the University of Zürich. The purpose of this monograph is to develop the de Rham cohomology theory, and to apply it to obtain topological invariants of smooth manifolds and fibre bundles. It also addresses the purely algebraic theory of the operation of a Lie algebra in a graded differential algebra.

Fat Manifolds And Linear Connections

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Author : Aleksandr Mikha?lovich Vinogradov
language : en
Publisher: World Scientific
Release Date : 2009

Fat Manifolds And Linear Connections written by Aleksandr Mikha?lovich Vinogradov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.

In this unique book, written in a reasonably self-contained manner, the theory of linear connections is systematically presented as a natural part of differential calculus over commutative algebras. This not only makes easy and natural numerous generalizations of the classical theory and reveals various new aspects of it, but also shows in a clear and transparent manner the intrinsic structure of the associated differential calculus. The notion of a OC fat manifoldOCO introduced here then allows the reader to build a well-working analogy of this OC connection calculusOCO with the usual one."

An Introduction To Differentiable Manifolds And Riemannian Geometry Revised

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Author : William M. Boothby
language : en
Publisher: Gulf Professional Publishing
Release Date : 2003

An Introduction To Differentiable Manifolds And Riemannian Geometry Revised written by William M. Boothby and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject. It has become an essential introduction to the subject for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. It is also the only book that thoroughly reviews certain areas of advanced calculus that are necessary to understand the subject. Line and surface integrals Divergence and curl of vector fields

Differential Geometry For Physicists And Mathematicians Moving Frames And Differential Forms From Euclid Past Riemann

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Author : Jose G Vargas
language : en
Publisher: World Scientific
Release Date : 2014-03-06

Differential Geometry For Physicists And Mathematicians Moving Frames And Differential Forms From Euclid Past Riemann written by Jose G Vargas and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-06 with Mathematics categories.

This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of definitions, remarks, theorems, corollaries, lemmas, etc. but a narrative — almost like a story being told — that does not impede sophistication and deep results.It covers differential geometry far beyond what general relativists perceive they need to know. And it introduces readers to other areas of mathematics that are of interest to physicists and mathematicians, but are largely overlooked. Among these is Clifford Algebra and its uses in conjunction with differential forms and moving frames. It opens new research vistas that expand the subject matter.In an appendix on the classical theory of curves and surfaces, the author slashes not only the main proofs of the traditional approach, which uses vector calculus, but even existing treatments that also use differential forms for the same purpose.

Analysis And Algebra On Differentiable Manifolds

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Author : Pedro M. Gadea
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-30

Analysis And Algebra On Differentiable Manifolds written by Pedro M. Gadea 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 2012-12-30 with Mathematics categories.

This is the second edition of this best selling problem book for students, now containing over 400 completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. Many of the definitions and theorems used throughout are explained in the first section of each chapter where they appear. A 56-page collection of formulae is included which can be useful as an aide-mémoire, even for teachers and researchers on those topics. In this 2nd edition: • 76 new problems • a section devoted to a generalization of Gauss’ Lemma • a short novel section dealing with some properties of the energy of Hopf vector fields • an expanded collection of formulae and tables • an extended bibliography Audience This book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics and some branches of engineering with a rudimentary knowledge of linear and multilinear algebra.

Invariants Of Quadratic Differential Forms

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Author : Oswald Veblen
language : en
Publisher: Cambridge University Press
Release Date : 2004-06-03

Invariants Of Quadratic Differential Forms written by Oswald Veblen 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 2004-06-03 with Mathematics categories.

An early tract for students of differential geometry and mathematical physics.