A Course in Mathematical Analysis, Vol. 1 (Classic Reprint): Derivatives and Differentials; Definite Integrals; Expansion in Series; Applications to Geometry - Couverture souple

Goursat, �douard

9781440057809: A Course in Mathematical Analysis, Vol. 1 (Classic Reprint): Derivatives and Differentials; Definite Integrals; Expansion in Series; Applications to Geometry

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ISBN 10 : 144005780X ISBN 13 : 9781440057809

Editeur : Forgotten Books, 2018

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Explore the geometry of surfaces and space with rigorous, classical methods. Build a solid foundation in surface integrals, line complexes, and theorems used in physics.

This edition gathers foundational tools for advanced study in differential geometry and mathematical physics. It emphasizes the links between geometry and analysis, showing how surface integrals, Green’s and Stokes’ theorems, and related concepts illuminate problems in space, curves, and manifolds.

Learn how to define and compute surface integrals on two-sided surfaces, with attention to orientation and side choice.
See how line integrals relate to surface integrals through fundamental theorems, and understand their applications to volumes and shapes.
Explore geometric constructions and theorems that connect curves, planes, and spaces, including how complex and conic relationships arise in space.
Apply these ideas to classical problems in geometry and physics, with worked examples and exercises to test understanding.

Ideal for students and professionals studying differential geometry, calculus of surfaces, and mathematical physics, this edition provides both theory and concrete methods for tackling spatial problems.

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�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 144005780X
ISBN 13: 9781440057809
Reliure: Broch�
Nombre de pages: 560
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9780486446509: A Course in Mathematical Analysis: Ferivatives and Differentials, Definite Integrals, Expansion in Series, Applications to Geometry

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ISBN 10 : 0486446506 ISBN 13 : 9780486446509
Editeur : Dover Publications Inc., 2006
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A Course in Mathematical Analysis, Vol. 1 (Classic Reprint)

�douard Goursat

Edit� par Forgotten Books, 2018

ISBN 10 : 144005780X ISBN 13 : 9781440057809

Neuf Paperback

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. Embark on a journey into the world of mathematical analysis with this comprehensive guide, originally presented as a university course. The author's clear and concise explanations, coupled with numerous solved examples, make complex concepts accessible to students with a foundational understanding of calculus. Delving into the fundamental notions of analysis, such as limits, continuity, derivatives, and integrals, this book provides a rigorous yet elementary treatment of functions of real variables. It explores the intricacies of single and multivariable functions, delves into Taylor's series, and examines the applications of maxima and minima. Integral calculus takes center stage as definite and indefinite integrals are dissected, paving the way for the exploration of double and multiple integrals. The book concludes with a foray into infinite series and power series, offering valuable insights into their convergence and applications. Throughout, the author's emphasis on clarity and rigor ensures a solid understanding of the essential principles of mathematical analysis, empowering readers to tackle more advanced mathematical topics with confidence. Ultimately, this work serves as a testament to the profound beauty and interconnectedness of mathematical concepts, illuminating their significance in understanding the natural world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N� de r�f. du vendeur 9781440057809_0

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