Excerpt from Leçons sur l'Intégration des Équations aux Dérivées Partielles du Second Ordre à Deux Variables Indépendantes, Vol. 1: Problème de Gauchy; Caractéristiques; Intégrales IntermédiairesL'ouvrage dont je publie aujourd'hui la première partie forme une suite naturelle des Leçons sur I' intégration des équalions aux. Dérivées partielles du premier ordre. Qui ont paru il y a quelques années. Ce premier volume contient la théorie des carac téristiques. L'exposition détaillée des méthodes d'intégration de Monge et d'ampére, et 1a recherche des intégrales intermé diaires, pour des équations de forme quelconque. La seconde partie, qui paraîtra bientôt, je l'espère, renferment la transfor mation de Laplace, la méthode de M. Darbmnc et l'intégration par quadratures partielles.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Leçons sur l'Intégration des Équations aux Dérivées Partielles du Second Ordre à Deux Variables Indépendantes, Vol. 1: Problème de Gauchy; ... (Classic Reprint) (French Edition)

Science & Math

Édouard Goursat

Mathematics

Forgotten Books

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

Excerpt from A Course in Mathematical Analysis, Vol. 1: Derivatives and Differentials; Definite Integrals; Expansion in Series; Applications to Geometry This book contains, with slight variations, the material given in my course at the University of Paris. I have modified somewhat the order followed in the lectures for the sake of uniting in a single volume all that has to do with functions of real variables, except the theory of differential equations. The differential notation not being treated in the Classe de Math matiques sp ciales, I have treated this notation from the beginning, and have presupposed only a knowledge of the formal rules for calculating derivatives. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A Course In Mathematical Analysis Vol I

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Franklin Classics Trade Press

Édouard Goursat's three-volume A Course in Mathematical Analysis remains a classic study and a thorough treatment of the fundamentals of calculus. As an advanced text for students with one year of calculus, it offers an exceptionally lucid exposition. Subjects in this, the first of the three volumes, include derivatives and differentials; implicit functions; functional determinants; change of variable; Taylor's series; maxima and minima; definite and indefinite integrals; double and multiple integrals; integration of total differentials; infinite series; power series; trigonometric series; plane and skew curves; and surfaces. Volume 2 addresses functions of a complex variable and differential equations; and Volume 3 explores variations of solutions, partial differential equations of the second order, integral equations, and calculus of variations.

A Course in Mathematical Analysis Volume 1: Derivatives and Differentials; Definite Integrals; Expansion in Series; Applications to Geometry (Dover Books on Mathematics)

Dover Publications

Edouard Goursat's three-volume A Course in Mathematical Analysis remains a classic study and a thorough treatment of the fundamentals of calculus. As an advanced text for students with one year of calculus, it offers an exceptionally lucid exposition. Subjects in this, the second of the three volumes, begin with functions of a complex variable and elements of the theory; the general theory of analytic functions according to Cauchy; single-valued analytic functions; analytic extension; and analytic functions of several variables. The second part of this volume covers differential equations, including elementary methods of integration; existence theorems; linear and non-linear differential equations; and partial differential equations of the first order. The preceding volume in this series addresses applications to geometry, expansion in series, definite integrals, and derivatives and differentials; the succeeding volume explores variations of solutions, partial differential equations of the second order, integral equations, and calculus of variations.

A Course in Mathematical Analysis Volume 2: Functions of a Complex Variable; Differential Equations (Dover Books on Mathematics)

Edouard Goursat's three-volume A Course in Mathematical Analysis remains a classic study and a thorough treatment of the fundamentals of calculus. As an advanced text for students with one year of calculus, it offers an exceptionally lucid exposition. The first volume in this series addresses derivatives and differentials, definite integrals, expansion in series, and applications to geometry; the succeeding volume explores functions of a complex variable and differential equations. This, the third and final volume, examines variation of solutions and partial differential equations of the second order in its first part. The second part investigates integral equations and calculus of variations. Topics related to variations of solutions and partial differential equations of the second order include equations of Monge-Ampère; linear equations in n variables; linear equations of the hyperbolic and elliptic types; and harmonic functions in three variables. Subjects relevant to integral equations and calculus of variations include the solution of integral equations by successive approximations; Fredholm's equation; the fundamental functions; applications of integral equations; and the calculus of variations. The text concludes with a note on conformal representation by Paul Montel.

A Course in Mathematical Analysis Volume 3: Variation of Solutions; Partial Differential Equations of the Second Order; Integral Equations; Calculus of Variations (Dover Books on Mathematics)

For the very first time, the final volume in Edouard Goursat's famed Course in Mathematical Analysis is available to English-language readers. Part I covers ordinary and partial differential equations - subjects basic to analysis and applied mathematics and, therefore, very important today - and does so with a fullness that vastly exceeds even that of more recent texts on the subject. The reliability of the coverage by one of the greatest of modern mathematicians makes the book almost indispensable

Variation of Solutions: Partial Differential Equations of the Second Order (Course in Mathematical Analysis, Vol. 3, Part 1)

Dover Pubns

Functions of a Complex Variable: Being Part I of Volume II (Classic Reprint)

History

Excerpt from Mathematical Analysis Volume-1This book contains, with slight variations, the material given in my course at the University of Paris. I have modified somewhat the order followed in the lectures for the sake of uniting in a single volume all that has to do with functions of real variables, except the theory of differential equations. The differential notation not being treated in the "Classe de Mathematiques speciales," I have treated this notation from the beginning, and have presupposed only a knowledge of the formal rules for calculating derivatives.Since mathematical analysis is essentially the science of the continuum, it would seem that every course in analysis should begin, logically, with the study of irrational numbers. I have supposed, however, that the student is already familiar with that subject. The theory of incommensurable numbers is treated in so many excellent well-known works that I have thought it useless to enter upon such a discussion. As for the other fundamental notions which lie at the basis of analysis, - such as the upper limit, the definite integral, the double Integral, etc., - I have endeavored to treat them with all desirable rigor, seeking to retain the elementary character of the work, and to avoid generalizations which would be superfluous in a book intended for purposes of instruction.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

See the best price to sell, buy, or rent books by Édouard Goursat. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Édouard Goursat

See the best price to sell, buy, or rent books by Édouard Goursat. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Leçons sur l'Intégration des Équations aux Dérivées Partielles du Second Ordre à Deux Variables Indépendantes, Vol. 1: Problème de Gauchy; ... (Classic Reprint) (French Edition)

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

A Course In Mathematical Analysis Vol I

A Course in Mathematical Analysis Volume 1: Derivatives and Differentials; Definite Integrals; Expansion in Series; Applications to Geometry (Dover Books on Mathematics)

A Course in Mathematical Analysis Volume 2: Functions of a Complex Variable; Differential Equations (Dover Books on Mathematics)

A Course in Mathematical Analysis Volume 3: Variation of Solutions; Partial Differential Equations of the Second Order; Integral Equations; Calculus of Variations (Dover Books on Mathematics)

Variation of Solutions: Partial Differential Equations of the Second Order (Course in Mathematical Analysis, Vol. 3, Part 1)

Functions of a Complex Variable: Being Part I of Volume II (Classic Reprint)

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