Differential Forms and Connections

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.

Produk Detail:

  • Author : R. W. R. Darling
  • Publisher : Cambridge University Press
  • Pages : 256 pages
  • ISBN : 9780521468008
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKDifferential Forms and Connections

Differential Forms and Connections

Differential Forms and Connections
  • Author : R. W. R. Darling
  • Publisher : Cambridge University Press
  • Release : 22 September 1994
GET THIS BOOKDifferential Forms and Connections

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.

Geometry of Differential Forms

Geometry of Differential Forms
  • Author : Shigeyuki Morita
  • Publisher : American Mathematical Soc.
  • Release : 25 May 2022
GET THIS BOOKGeometry of Differential Forms

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. This book is a comprehensive

A Geometric Approach to Differential Forms

A Geometric Approach to Differential Forms
  • Author : David Bachman
  • Publisher : Springer Science & Business Media
  • Release : 02 February 2012
GET THIS BOOKA Geometric Approach to Differential Forms

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

A Visual Introduction to Differential Forms and Calculus on Manifolds

A Visual Introduction to Differential Forms and Calculus on Manifolds
  • Author : Jon Pierre Fortney
  • Publisher : Springer
  • Release : 03 November 2018
GET THIS BOOKA Visual Introduction to Differential Forms and Calculus on Manifolds

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

Differential Forms

Differential Forms
  • Author : Guillemin Victor,Haine Peter
  • Publisher : World Scientific
  • Release : 20 March 2019
GET THIS BOOKDifferential Forms

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

Differential Forms

Differential Forms
  • Author : Steven H. Weintraub
  • Publisher : Elsevier
  • Release : 19 February 2014
GET THIS BOOKDifferential Forms

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

Inequalities for Differential Forms

Inequalities for Differential Forms
  • Author : Ravi P. Agarwal,Shusen Ding,Craig Nolder
  • Publisher : Springer Science & Business Media
  • Release : 19 September 2009
GET THIS BOOKInequalities for Differential Forms

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

Advanced Calculus

Advanced Calculus
  • Author : Harold M. Edwards
  • Publisher : Springer Science & Business Media
  • Release : 01 December 2013
GET THIS BOOKAdvanced Calculus

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 and the Geometry of General Relativity

Differential Forms and the Geometry of General Relativity
  • Author : Tevian Dray
  • Publisher : CRC Press
  • Release : 20 October 2014
GET THIS BOOKDifferential Forms and the Geometry of General Relativity

Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity. The book contains two intertwined but distinct halves. Designed for advanced undergraduate or beginning graduate students in mathematics or physics, most of the text requires little more than familiarity with calculus and linear algebra. The first half presents an

Differential Forms

Differential Forms
  • Author : Henri Cartan
  • Publisher : Courier Corporation
  • Release : 06 July 2012
GET THIS BOOKDifferential Forms

The famous mathematician addresses both pure and applied branches of mathematics in a book equally essential as a text, reference, or a brilliant mathematical exercise. "Superb." — Mathematical Review. 1971 edition.