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Differential Forms: A Complement to Vector Calculus

	Differential Forms: A Complement To Vector Calculus by Steven H., Weintraub
	Price : Rs 550.00
	Your Price : Rs 467.50

Key Features 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 - @linktext:ADOPTION INFORMATION @link:http://www.apnet.com/textbook/pecs/new/weintrab.htm Description This text is one of the first to treat vector calculus using differential forms in place of vector fields and other outdated techniques.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. Readership Undergraduate math majors and engineering majors through graduate level; anyone who uses calculus regularly. Author Information By Steven H. Weintraub , Louisiana State University, Baton Rouge Table of ContentsDifferential Forms The Algrebra of Differential Forms Exterior Differentiation The Fundamental Correspondence Oriented Manifolds The Notion Of A Manifold (With Boundary) Orientation Differential Forms Revisited l-Forms K-Forms Push-Forwards And Pull-Backs Integration Of Differential Forms Over Oriented Manifolds The Integral Of A 0-Form Over A Point (Evaluation) The Integral Of A 1-Form Over A Curve (Line Integrals) The Integral Of A2-Form Over A Surface (Flux Integrals) The Integral Of A 3-Form Over A Solid Body (Volume Integrals) Integration Via Pull-Backs The Generalized Stokes` Theorem Statement Of The Theorem The Fundamental Theorem Of Calculus And Its Analog For Line Integrals Green`s And Stokes` Theorems Gauss`s Theorem Proof of the GST For The Advanced Reader Differential Forms In IRN
ISBN-9788131212011

Pages : 256

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Differential Forms: A Complement To Vector Calculus

by Steven H., Weintraub