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ISBN: 0023282207 0029775302 9780029775301 9780023282201 Year: 1982 Publisher: New York (N.Y.) Macmillan
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ISBN: 3540061355 9783540061359 Year: 1973 Publisher: Berlin Springer
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ISBN: 9780470546550 9780780310445 0470546557 Year: 1986 Publisher: New York [Piscataqay, New Jersey] IEEE Press IEEE Xplore
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ISBN: 1614446024 9781614446026 9780883857564 0883857561 Year: 2009 Publisher: Washington, DC Mathematical Association of America
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ISBN: 9814998796 9814998788 9789814998789 Year: 2021 Publisher: Singapore Bentham Science Publishers
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Exterior calculus is a branch of mathematics which involves differential geometry. In Exterior calculus the concept of differentiations is generalized to antisymmetric exterior derivatives and the notions of ordinary integration to differentiable manifolds of arbitrary dimensions. It therefore generalizes the fundamental theorem of calculus to Stokes' theorem. This textbook covers the fundamental requirements of exterior calculus in curricula for college students in mathematics and engineering programs. Chapters start from Heaviside-Gibbs algebra, and progress to different concepts in Grassman algebra. The final section of the book covers applications of exterior calculus with solutions. Readers will find a concise and clear study of vector calculus and differential geometry, along with several examples and exercises. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about exterior calculus as part of their college curriculum and equip themselves with the knowledge to apply relevant theoretical concepts in practical situations.
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ISBN: 9781429231879 1429231874 Year: 2012 Publisher: New York: W.H. Freeman,
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ISBN: 9780534393663 0534393667 Year: 2003 Publisher: Belmont, CA: Thomson-Brooks/Cole,
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ISBN: 9781429231893 1429231904 9781429231909 1429231890 Year: 2012 Publisher: New York: W.H. Freeman,
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ISBN: 087150233X 9780871502339 Year: 1977 Publisher: Boston (Mass.): Prindle, Weber and Schmidt,
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Year: 1967 Publisher: New York: Benjamin,
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