Lacroix and the Calculus

Author:   João Caramalho Domingues
Publisher:   Birkhauser Verlag AG
Edition:   2008 ed.
Volume:   35
ISBN:  

9783764386375


Pages:   468
Publication Date:   17 April 2008
Format:   Hardback
Availability:   Awaiting stock   Availability explained
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Lacroix and the Calculus


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Overview

Silvestre François Lacroix (Paris, 1765 - ibid., 1843) was a most influential mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral (1797-1800; 2nd ed. 1810-1819) – an encyclopedic appraisal of 18th-century calculus which remained the standard reference on the subject through much of the 19th century, in spite of Cauchy's reform of the subject in the 1820's. Lacroix and the Calculus is the first major study of Lacroix’s large Traité. It uses the unique and massive bibliography given by Lacroix to explore late 18th-century calculus, and the way it is reflected in Lacroix’s account. Several particular aspects are addressed in detail, including: the foundations of differential calculus, analytic and differential geometry, conceptions of the integral, and types of solutions of differential equations (singular/complete/general integrals, geometrical interpretations, and generality ofarbitrary functions).  

Full Product Details

Author:   João Caramalho Domingues
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2008 ed.
Volume:   35
Dimensions:   Width: 16.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   1.014kg
ISBN:  

9783764386375


ISBN 10:   3764386371
Pages:   468
Publication Date:   17 April 2008
Audience:   College/higher education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

Table of Contents

Introduction.- A short biography of Silvestre-Francois Lacroix.- An overview of Lacroix's Traite.- The principles of the calculus.- Analytic and differential geometry.- Approximate integration and conceptions of the integral.- Types of solutions of differential equations.- Aspects of differences and series.- The Traite elementaire.- The second edition of the Traite.- final remarks.- Two memoirs by Lacroix.- Lacroix's historical appraisal of his own Traite.- Syllabi of Lacroix's course of analysis at the Ecole Polytechnique.- Biographical data on a few obscure characters.- Bibliography.

Reviews

From the reviews: The present book is a thorough presentation of the calculus from Lacroix's point of view ! . Lacroix and the calculus concludes with four appendices, a Bibliography (thirty-three pages), and an index. ! Anyone interested in the history of the calculus will find this book to be of great interest and value in his or her own studies. (F. J. Papp, Mathematical Reviews, Issue 2011 i)


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