Differential Forms: A Complement to Vector Calculus

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9780127425108: Differential Forms: A Complement to Vector Calculus

Differential forms are a powerful computational tool used in advanced mathematics. Until this text, multivariable calculus was taught mostly using the outdated notions of vector fields and related matters. Theuse of differential forms unifies the subject and makes it more understandable, so students learning the subject from this book should emerge with a better conceptual understanding of it. * 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

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About the Author:

Steven H. Weintraub is a Professor of Mathematics at Louisiana State University. He received his Ph.D. from Princeton University, and has been at LSU since that time, with temporary leaves to UCLA, Rutgers, Oxford, Yale, Gottingen, Bayreuth, and Hannover (Germany).Professor Weintraub is a member of the American Mathematical Society and a former member of the Council of the AMS. He has written more than 40 research papers and two other books: a graduate algebra book and a reserach monograph.

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