Download Differential Calculus and Its Applications (Dover Books on by Michael J. Field PDF

By Michael J. Field

This textual content deals a synthesis of thought and alertness concerning smooth strategies of differentiation. in accordance with undergraduate classes in complicated calculus, the remedy covers quite a lot of issues, from gentle sensible research and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean area. appropriate for complicated undergraduate classes in natural and utilized arithmetic, it types the root for graduate-level classes in complicated calculus and differential manifolds.
Starting with a short resume of necessities, together with basic linear algebra and aspect set topology, the self-contained strategy examines liner algebra and normed vector areas, differentiation and calculus on vector areas, and the inverse- and implicit-function theorems. a last bankruptcy is devoted to a consolidation of the speculation as said in prior chapters, as well as an creation to differential manifolds and differential equations.

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