differential forms dover books on mathematics

Download Book Differential Forms Dover Books On Mathematics in PDF format. You can Read Online Differential Forms Dover Books On Mathematics here in PDF, EPUB, Mobi or Docx formats.

Differential Forms

Author : Henri Cartan
ISBN : 9780486139111
Genre : Mathematics
File Size : 24. 80 MB
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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." ā€” Mathematical Review. 1971 edition.

Tensors Differential Forms And Variational Principles

Author : David Lovelock
ISBN : 9780486131986
Genre : Mathematics
File Size : 47. 57 MB
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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.

Cohomology And Differential Forms

Author : Izu Vaisman
ISBN : 9780486804835
Genre : Mathematics
File Size : 89. 25 MB
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This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Based on lectures given by author Izu Vaisman at Romania's University of Iasi, the treatment is suitable for advanced undergraduates and graduate students of mathematics as well as mathematical researchers in differential geometry, global analysis, and topology. A self-contained development of cohomological theory constitutes the central part of the book. Topics include categories and functors, the Čech cohomology with coefficients in sheaves, the theory of fiber bundles, and differentiable, foliated, and complex analytic manifolds. The final chapter covers the theorems of de Rham and Dolbeault-Serre and examines the theorem of Allendoerfer and Eells, with applications of these theorems to characteristic classes and the general theory of harmonic forms.

Differential Forms With Applications To The Physical Sciences

Author : Harley Flanders
ISBN : 9780486139616
Genre : Mathematics
File Size : 67. 18 MB
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A graduate-level text utilizing exterior differential forms in the analysis of a variety of mathematical problems in the physical and engineering sciences. Includes 45 illustrations. Index.

Differential Forms And Connections

Author : R. W. R. Darling
ISBN : 0521468000
Genre : Mathematics
File Size : 26. 42 MB
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This book introduces the tools of modern differential geometry--exterior calculus, manifolds, vector bundles, connections--and covers both classical surface theory, the modern theory of connections, and curvature. Also included is a chapter on applications to theoretical physics. The author uses the powerful and concise calculus of differential forms 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. The only prerequisites are multivariate calculus and linear algebra; no knowledge of topology is assumed. Nearly 200 exercises make the book ideal for both classroom use and self-study for advanced undergraduate and beginning graduate students in mathematics, physics, and engineering.

Differential Geometry

Author : Erwin Kreyszig
ISBN : 9780486318622
Genre : Mathematics
File Size : 45. 79 MB
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An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations.

Advanced Calculus

Author : Harold M. Edwards
ISBN : 9781461202714
Genre : Mathematics
File Size : 20. 28 MB
Format : PDF
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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.

Applied Exterior Calculus

Author : Dominic G. B. Edelen
ISBN : 9780486438719
Genre : Mathematics
File Size : 59. 86 MB
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This text begins with the essentials, advancing to applications and studies of physical disciplines, including classical and irreversible thermodynamics, electrodynamics, and the theory of gauge fields. Geared toward advanced undergraduates and graduate students, it develops most of the theory and requires only a familiarity with upper-division algebra and mathematical analysis. "Essential." ā€” SciTech Book News. 1985 edition.

Curvature In Mathematics And Physics

Author : Shlomo Sternberg
ISBN : 9780486292717
Genre : Mathematics
File Size : 58. 69 MB
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Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.

A Geometric Approach To Differential Forms

Author : David Bachman
ISBN : 9780817683047
Genre : Mathematics
File Size : 44. 17 MB
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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.

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