My textbook MultivariableMathematics:Linear Algebra, Multivariable Calculus, and Manifolds was published by J. Wiley & Sons in 2004. The text integrates the linear algebra and calculus material, emphasizing the theme of implicit versus explicit. It includes proofs and all the theory of the calculus without giving short shrift to computations and physical applications. There is, as always, the obligatory list of errata and typos; please email me if you have any comments or have discovered any errors. Click here if you want a list of errata in the solutions manual.
I'm a college sophomore student majoring in mathematics. In the first semestersomeone highly recommend me to read this book: Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds by Theodore Shifrin. Until nowI have already finished the previous chapters studying by myself. I need to check my answers to this book's exercies and to improve the quality of my proof. If this book is accompanied by a solutions manual, so much the better.
Shifrin Multivariable Mathematics Solutions Manual
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