Differential Calculus and Its Applications
Michael J. Field
មេសា 2013 · Courier Corporation
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សៀវភៅអេឡិចត្រូនិច
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ទំព័រ
reportការវាយតម្លៃ និងមតិវាយតម្លៃមិនត្រូវបានផ្ទៀងផ្ទាត់ទេ ស្វែងយល់បន្ថែម
អំពីសៀវភៅអេឡិចត្រូនិកនេះ
This text offers a synthesis of theory and application related to modern techniques of differentiation. Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. Suitable for advanced undergraduate courses in pure and applied mathematics, it forms the basis for graduate-level courses in advanced calculus and differential manifolds.
Starting with a brief resume of prerequisites, including elementary linear algebra and point set topology, the self-contained approach examines liner algebra and normed vector spaces, differentiation and calculus on vector spaces, and the inverse- and implicit-function theorems. A final chapter is dedicated to a consolidation of the theory as stated in previous chapters, in addition to an introduction to differential manifolds and differential equations.
Starting with a brief resume of prerequisites, including elementary linear algebra and point set topology, the self-contained approach examines liner algebra and normed vector spaces, differentiation and calculus on vector spaces, and the inverse- and implicit-function theorems. A final chapter is dedicated to a consolidation of the theory as stated in previous chapters, in addition to an introduction to differential manifolds and differential equations.
ការដាក់ផ្កាយ និងមតិវាយតម្លៃ
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អំពីអ្នកនិពន្ធ
Michael J. Field was a longtime faculty member at England's Warwick University. His research interests include singularity theory, complex analysis, and dynamical systems.
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