Theory And Problems Of Differential Calculus In Rn: With Solutions: 0 (Essential Textbooks in Mathematics) - Tapa blanda

Ruiz, Jose Manuel Mazon

 
9781800618558: Theory And Problems Of Differential Calculus In Rn: With Solutions: 0 (Essential Textbooks in Mathematics)
Tapa blanda
ISBN 10: 1800618557 ISBN 13: 9781800618558
Editorial: WSPC (EUROPE), 2026

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Editorial
WSPC (EUROPE)
Año de publicación
2026
Idioma
Inglés
ISBN 10 
1800618557
ISBN 13 
9781800618558
Encuadernación
Tapa blanda
Número de páginas
270
Contacto del fabricante
World Scientific Publishing
https://www.worldscientific.com/

5 Toh Tuck Link
#01-01
596224
Singapur
Persona responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Alemania

Otras ediciones populares con el mismo título

9781800618381: Theory And Problems Of Differential Calculus In Rn: With Solutions: 0 (Essential Textbooks in Mathematics)

Edición Destacada

ISBN 10:  1800618387 ISBN 13:  9781800618381
Editorial: WSPC (EUROPE), 2026
Tapa dura