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Differential Forms and Applications (Universitext)

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Published by Springer .
Written in English

Subjects:

  • Calculus & mathematical analysis,
  • Differential & Riemannian geometry,
  • Differential Equations,
  • Diferential forms,
  • Differentialformen,
  • Mathematics / Geometry / Differential,
  • begleitendes Dreibein,
  • differential manifolds,
  • differenzierbare Mannigfaltigkeit,
  • eingebettete Flächen,
  • immersed surfaces,
  • intrinsic geeometry of surfaces,
  • intrinsische Geometrie von Flächen,
  • moving frames,
  • Differential forms,
  • Mathematics

Book details:

The Physical Object
FormatPaperback
Number of Pages118
ID Numbers
Open LibraryOL9061158M
ISBN 103540576185
ISBN 109783540576181

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  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 the Stokes' theorem, can be The book treats differential forms and uses them to study some local and global aspects of the /5. This book, "Differential Forms", is concerned with integration of differential forms on varieties, i.e. on hypersurfaces which are smoothly immersed in flat Euclidean spaces, very much as in the similar book "Differential Forms with Applications to the Physical Sciences" by Harley Flanders. This book is divided into three unequal chapters/5(13). Differential Forms with Applications to the Physical Sciences (Dover Books on Mathematics) by Mathematics, Flanders, Harley and a great selection of related books, art and collectibles available now at Differential Forms and Applications. This is a free translation of a set of notes published originally in Portuguese in They were translated for a course in the College of Differential Geome try, ICTP, Trieste,

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 by: In Chapter 2 we start integrating differential forms of degree one along curves in Rn. This already allows some applications of the ideas of Chapter 1. This material is not used in the rest of the book. In Chapter 3 we present the basic notions of differentiable manifolds. Description 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. 1-forms: which are differential of the form f ()xdx. In the study of differential forms on the two dimensional plane, there are three objects of our use: 0-forms: which are just scalar functions of x and y, i.e. (,)f xy. 2-forms: which are elements of area, written as (,)f x y dx dy∧.Cited by: 1.

"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 excellent text introduces the use of exterior differential forms as a powerful tool in the 4/5(1). INTRODUCTION AND BASIC APPLICATIONS INTRODUCTION These notes began life as an introduction to differential forms for a mathematical physics class and they still retain some of that flavor. Thus the material is introduced in a rather formal manner and the mathematical complexities are put off to later sections. Differential Forms and Applications "This book treats differential forms and uses them to study some local and global aspects of differential geometry of surfaces. Each chapter is followed by interesting exercises. Thus, this is an ideal book for a one-semester course."—ACTA SCIENTIARUM MATHEMATICARUM. From the PublisherPrice: $ The following books, which I encourage you to consult from time to time, are available from the Math Library. [B] Bachman, David, A Geometric Approach to Differential Forms, Birkhäuser, [C] Carmo, Manfredo Perdigão do, Differential forms and applications.