Differential Calculus and Its Applications (Dover Books on Mathematics)

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.
ASIN ‏ : ‎ B00DBO33F6
Publisher ‏ : ‎ Dover Publications
Accessibility ‏ : ‎ Learn more
Publication date ‏ : ‎ April 10, 2013
Edition ‏ : ‎ Reprint
Language ‏ : ‎ English
File size ‏ : ‎ 8.7 MB
Screen Reader ‏ : ‎ Supported
Enhanced typesetting ‏ : ‎ Enabled
X-Ray ‏ : ‎ Not Enabled
Word Wise ‏ : ‎ Not Enabled
Print length ‏ : ‎ 338 pages
ISBN-13 ‏ : ‎ 978-0486298849
Page Flip ‏ : ‎ Enabled
Best Sellers Rank: #3,274,025 in Kindle Store (See Top 100 in Kindle Store) #656 in Calculus (Kindle Store) #2,482 in Calculus (Books)
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