Differential Forms

Differential Forms Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Differential Forms book. This book definitely worth reading, it is an incredibly well-written.

Differential Forms

Steven H. Weintraub
Differential Forms Book PDF

Author : Steven H. Weintraub
Publisher : Academic Press
Page : 50 pages
File Size : 42,8 Mb
Release : 1997
Category : Business & Economics
ISBN : 0127425101

Get Book

Differential Forms by Steven H. Weintraub Pdf

This text is one of the first to treat vector calculus using differential forms in place of vector fields and other outdated techniques. Geared towards students taking courses in multivariable calculus, this innovative book aims to make the subject more readily understandable. Differential forms unify and simplify the subject of multivariable calculus, and students who learn the subject as it is presented in this book should come away with a better conceptual understanding of it than those who learn using conventional methods. * Treats vector calculus using differential forms * Presents a very concrete introduction to differential forms * Develops Stokess theorem in an easily understandable way * Gives well-supported, carefully stated, and thoroughly explained definitions and theorems. * Provides glimpses of further topics to entice the interested student

Differential Forms and Applications

Manfredo P. Do Carmo
Differential Forms and Applications Book PDF

Author : Manfredo P. Do Carmo
Publisher : Springer Science & Business Media
Page : 124 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642579516

Get Book

Differential Forms and Applications by Manfredo P. Do Carmo Pdf

An application of differential forms for the study of some local and global aspects of the differential geometry of surfaces. Differential forms are introduced in a simple way that will make them attractive to "users" of mathematics. A brief and elementary introduction to differentiable manifolds is given so that the main theorem, namely Stokes' theorem, can be presented in its natural setting. The applications consist in developing the method of moving frames expounded by E. Cartan to study the local differential geometry of immersed surfaces in R3 as well as the intrinsic geometry of surfaces. This is then collated in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces.

A Geometric Approach to Differential Forms

David Bachman
A Geometric Approach to Differential Forms Book PDF

Author : David Bachman
Publisher : Springer Science & Business Media
Page : 156 pages
File Size : 54,6 Mb
Release : 2012-02-02
Category : Mathematics
ISBN : 9780817683047

Get Book

A Geometric Approach to Differential Forms by David Bachman Pdf

This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. The book contains excellent motivation, numerous illustrations and solutions to selected problems.

Differential Forms

Steven H. Weintraub
Differential Forms Book PDF

Author : Steven H. Weintraub
Publisher : Elsevier
Page : 408 pages
File Size : 50,9 Mb
Release : 2014-02-19
Category : Mathematics
ISBN : 9780123946171

Get Book

Differential Forms by Steven H. Weintraub Pdf

Differential forms are a powerful mathematical technique to help students, researchers, and engineers solve problems in geometry and analysis, and their applications. They both unify and simplify results in concrete settings, and allow them to be clearly and effectively generalized to more abstract settings. Differential Forms has gained high recognition in the mathematical and scientific community as a powerful computational tool in solving research problems and simplifying very abstract problems. Differential Forms, 2nd Edition, is a solid resource for students and professionals needing a general understanding of the mathematical theory and to be able to apply that theory into practice. Provides a solid theoretical basis of how to develop and apply differential forms to real research problems Includes computational methods to enable the reader to effectively use differential forms Introduces theoretical concepts in an accessible manner

A Visual Introduction to Differential Forms and Calculus on Manifolds

Jon Pierre Fortney
A Visual Introduction to Differential Forms and Calculus on Manifolds Book PDF

Author : Jon Pierre Fortney
Publisher : Springer
Page : 468 pages
File Size : 46,7 Mb
Release : 2018-11-03
Category : Mathematics
ISBN : 9783319969923

Get Book

A Visual Introduction to Differential Forms and Calculus on Manifolds by Jon Pierre Fortney Pdf

This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions, when made, do not appear out of nowhere, and both the importance and role that theorems play is evident as or before they are presented. With a clear writing style and easy-to- understand motivations for each topic, this book is primarily aimed at second- or third-year undergraduate math and physics students with a basic knowledge of vector calculus and linear algebra.

Geometry of Differential Forms

Shigeyuki Morita
Geometry of Differential Forms Book PDF

Author : Shigeyuki Morita
Publisher : American Mathematical Soc.
Page : 356 pages
File Size : 40,6 Mb
Release : 2001
Category : Mathematics
ISBN : 0821810456

Get Book

Geometry of Differential Forms by Shigeyuki Morita Pdf

Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching the main goal of global analysis is the theory of differential forms. The book by Morita is a comprehensive introduction to differential forms. It begins with a quick introduction to the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results concerning them, such as the de Rham and Frobenius theorems. The second half of the book is devoted to more advanced material, including Laplacians and harmonic forms on manifolds, the concepts of vector bundles and fiber bundles, and the theory of characteristic classes. Among the less traditional topics treated is a detailed description of the Chern-Weil theory. The book can serve as a textbook for undergraduate students and for graduate students in geometry.

Differential Forms with Applications to the Physical Sciences

Harley Flanders
Differential Forms with Applications to the Physical Sciences Book PDF

Author : Harley Flanders
Publisher : Courier Corporation
Page : 226 pages
File Size : 52,9 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9780486139616

Get Book

Differential Forms with Applications to the Physical Sciences by Harley Flanders Pdf

"To the reader who wishes to obtain a bird's-eye view of the theory of differential forms with applications to other branches of pure mathematics, applied mathematic and physics, I can recommend no better book." — T. J. Willmore, London Mathematical Society Journal. This excellent text introduces the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Requiring familiarity with several variable calculus and some knowledge of linear algebra and set theory, it is directed primarily to engineers and physical scientists, but it has also been used successfully to introduce modern differential geometry to students in mathematics. Chapter I introduces exterior differential forms and their comparisons with tensors. The next three chapters take up exterior algebra, the exterior derivative and their applications. Chapter V discusses manifolds and integration, and Chapter VI covers applications in Euclidean space. The last three chapters explore applications to differential equations, differential geometry, and group theory. "The book is very readable, indeed, enjoyable — and, although addressed to engineers and scientists, should be not at all inaccessible to or inappropriate for ... first year graduate students and bright undergraduates." — F. E. J. Linton, Wesleyan University, American Mathematical Monthly.

Differential Forms and Connections

R. W. R. Darling
Differential Forms and Connections Book PDF

Author : R. W. R. Darling
Publisher : Cambridge University Press
Page : 288 pages
File Size : 49,9 Mb
Release : 1994-09-22
Category : Mathematics
ISBN : 0521468000

Get Book

Differential Forms and Connections by R. W. R. Darling Pdf

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

Guillemin Victor,Haine Peter
Differential Forms Book PDF

Author : Guillemin Victor,Haine Peter
Publisher : World Scientific
Page : 272 pages
File Size : 44,8 Mb
Release : 2019-03-20
Category : Mathematics
ISBN : 9789813272798

Get Book

Differential Forms by Guillemin Victor,Haine Peter Pdf

There already exist a number of excellent graduate textbooks on the theory of differential forms as well as a handful of very good undergraduate textbooks on multivariable calculus in which this subject is briefly touched upon but not elaborated on enough.The goal of this textbook is to be readable and usable for undergraduates. It is entirely devoted to the subject of differential forms and explores a lot of its important ramifications.In particular, our book provides a detailed and lucid account of a fundamental result in the theory of differential forms which is, as a rule, not touched upon in undergraduate texts: the isomorphism between the Čech cohomology groups of a differential manifold and its de Rham cohomology groups.

Tensors, Differential Forms, and Variational Principles

David Lovelock,Hanno Rund
Tensors Differential Forms and Variational Principles Book PDF

Author : David Lovelock,Hanno Rund
Publisher : Courier Corporation
Page : 400 pages
File Size : 40,5 Mb
Release : 2012-04-20
Category : Mathematics
ISBN : 9780486131986

Get Book

Tensors, Differential Forms, and Variational Principles by David Lovelock,Hanno Rund Pdf

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.

Advanced Calculus

Harold M. Edwards
Advanced Calculus Book PDF

Author : Harold M. Edwards
Publisher : Springer Science & Business Media
Page : 523 pages
File Size : 42,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461202714

Get Book

Advanced Calculus by Harold M. Edwards Pdf

This book is a high-level introduction to vector calculus based solidly on differential forms. Informal but sophisticated, it is geometrically and physically intuitive yet mathematically rigorous. It offers remarkably diverse applications, physical and mathematical, and provides a firm foundation for further studies.

Differential Forms in Algebraic Topology

Raoul Bott,Loring W. Tu
Differential Forms in Algebraic Topology Book PDF

Author : Raoul Bott,Loring W. Tu
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 52,5 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475739510

Get Book

Differential Forms in Algebraic Topology by Raoul Bott,Loring W. Tu Pdf

Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.

Geometrical Methods of Mathematical Physics

Bernard F. Schutz
Geometrical Methods of Mathematical Physics Book PDF

Author : Bernard F. Schutz
Publisher : Cambridge University Press
Page : 272 pages
File Size : 52,7 Mb
Release : 1980-01-28
Category : Science
ISBN : 9781107268142

Get Book

Geometrical Methods of Mathematical Physics by Bernard F. Schutz Pdf

In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.

Inequalities for Differential Forms

Ravi P. Agarwal,Shusen Ding,Craig Nolder
Inequalities for Differential Forms Book PDF

Author : Ravi P. Agarwal,Shusen Ding,Craig Nolder
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 53,5 Mb
Release : 2009-09-19
Category : Mathematics
ISBN : 9780387684178

Get Book

Inequalities for Differential Forms by Ravi P. Agarwal,Shusen Ding,Craig Nolder Pdf

This monograph is the first one to systematically present a series of local and global estimates and inequalities for differential forms, in particular the ones that satisfy the A-harmonic equations. The presentation focuses on the Hardy-Littlewood, Poincare, Cacciooli, imbedded and reverse Holder inequalities. Integral estimates for operators, such as homotopy operator, the Laplace-Beltrami operator, and the gradient operator are discussed next. Additionally, some related topics such as BMO inequalities, Lipschitz classes, Orlicz spaces and inequalities in Carnot groups are discussed in the concluding chapter. An abundance of bibliographical references and historical material supplement the text throughout. This rigorous presentation requires a familiarity with topics such as differential forms, topology and Sobolev space theory. It will serve as an invaluable reference for researchers, instructors and graduate students in analysis and partial differential equations and could be used as additional material for specific courses in these fields.

Cohomology and Differential Forms

Izu Vaisman
Cohomology and Differential Forms Book PDF

Author : Izu Vaisman
Publisher : Courier Dover Publications
Page : 304 pages
File Size : 49,6 Mb
Release : 2016-07-28
Category : Mathematics
ISBN : 9780486815121

Get Book

Cohomology and Differential Forms by Izu Vaisman Pdf

Self-contained development of cohomological theory of manifolds with various sheaves and its application to differential geometry covers categories and functions, sheaves and cohomology, fiber and vector bundles, and cohomology classes and differential forms. 1973 edition.