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THEORY AND PROBLEMS OF DIFFERENTIAL CALCULUS IN R^N
By Mazon Jose M
- Default Title
Description
The book begins with a study of finite-dimensional Euclidean spaces, including geometry, metrics, convergence, compactness, and convexity. It then progresses to continuous and differentiable functions, exploring directional derivatives, the chain rule, vector fields, and Fréchet and Gâteaux differentials. Further chapters address higher-order derivatives, Taylor's formula, and the conditions for local extrema, before delving into essential theorems such as the Inverse and Implicit Function Theorems. The final chapter introduces differentiable manifolds and constrained optimisation using Lagrange multipliers.
Each topic is supported by a selection of thoughtfully designed problems that reinforce both conceptual understanding and practical skills. Complete solutions are provided at the end of the book, making it a valuable resource for classroom use and self-study alike. This is a clear and rigorous foundation for anyone beginning their journey into multivariable calculus.
Product details
Binding:
Paperback
Number of Pages:
270
Release Date:
2026-02-14
Publication Date:
2026-02-13
Publisher:
WSPC (Europe)
Languages:
Original:
English
ISBN10:
1800618557
ISBN13:
9781800618558
GPSR Manufacturer Reference:
Weight:
396 g
Height:
152 cm
Width:
229 cm
Thickness:
15 cm
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