Theory And Problems Of Differential Calculus In Râ¿

Name: Theory And Problems Of Differential Calculus In Râ¿
Price: 213.86 AUD
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ISBN: 9781800618381

With Solutions

Jose Manuel Mazon Ruiz (University Of Valencia, Spain)

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Hardback

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English

World Scientific Europe Ltd
03 March 2026

Differential calculus & equations; Optimisation

Series: Essential Textbooks in Mathematics

Summary
Details

This book offers both a theoretical and practical introduction to Differential Calculus of several real variables, tailored for students embarking on their first semester of study in the subject. Designed especially for those in Mathematical and Physical Sciences, as well as Engineering disciplines, it assumes only a foundational understanding of single-variable calculus and basic linear algebra.

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.

By: Jose Manuel Mazon Ruiz (University Of Valencia Spain)
Imprint: World Scientific Europe Ltd
Country of Publication: United Kingdom
Volume: 0
ISBN: 9781800618381
ISBN 10: 1800618387
Series: Essential Textbooks in Mathematics
Pages: 250
Publication Date: 03 March 2026
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active