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Then you will move through more complex topics including partial derivatives, multiple integrals, parameterizations, vectors, and gradients, so you'll be able to solve difficult problems with ease.

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And, you can test yourself at the end of every chapter for calculated proof that you're mastering this subject, which is the gateway to many exciting areas of mathematics, science, and engineering. This fast and easy guide offers: Numerous detailed examples to illustrate basic concepts Geometric interpretations of vector operations such as div, grad, and curl Coverage of key integration theorems including Green's, Stokes', and Gauss' Quizzes at the end of each chapter to reinforce learning A time-saving approach to performing better on an exam or at work Simple enough for a beginner, but challenging enough for a more advanced student, Advanced Calculus Demystified is one book you won't want to function without!

Advanced Calculus: Lecture 19: manifolds and calculus, derivations and push-forwards

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Series: McGraw-Hill Demystified

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Springer-Verlag Asuman G. McGraw Hill Birkhauser Art Benjamin and Michael Shermer. Three Rivers Press Mathematical Association of America Arthur Benjamin and Esra Brown. Prentice Hall Laurence D.

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McGraw — Hill Robert L. Dorothy Buck Erica Flapam. American Mathematical Society Mathematical Modeling; Case Studies from Industry. Ellis Cumberbatch Alistair Fitt, Editors.