Mathematics of the 19th Century: Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences - Tapa blanda

 
9783034898010: Mathematics of the 19th Century: Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences
Tapa blanda
ISBN 10: 3034898010 ISBN 13: 9783034898010
Editorial: Birkhäuser, 2012

Sinopsis

The editors of the present series had originally intended to publish an integrated work on the history of mathematics in the nineteenth century, passing systemati­ cally from one discipline to another in some natural order. Circumstances beyond their control, mainly difficulties in choosing authors, led to the abandonment of this plan by the time the second volume appeared. Instead of a unified mono­ graph we now present to the reader a series of books intended to encompass all the mathematics of the nineteenth century, but not in the order of the accepted classification of the component disciplines. In contrast to the first two books of The Mathematics of the Nineteenth Century, which were divided into chapters, this third volume consists of four parts, more in keeping with the nature of the publication. 1 We recall that the first book contained essays on the history of mathemati­ 2 cal logic, algebra, number theory, and probability, while the second covered the history of geometry and analytic function theory. In the present third volume the reader will find: 1. An essay on the development of Chebyshev’s theory of approximation of functions, later called "constructive function theory" by S. N. Bernshtein. This highly original essay is due to the late N. I. Akhiezer (1901-1980), the author of fundamental discoveries in this area. Akhiezer’s text will no doubt attract attention not only from historians of mathematics, but also from many specialists in constructive function theory.

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

Reseña del editor

The editors of the present series had originally intended to publish an integrated work on the history of mathematics in the nineteenth century, passing systemati­ cally from one discipline to another in some natural order. Circumstances beyond their control, mainly difficulties in choosing authors, led to the abandonment of this plan by the time the second volume appeared. Instead of a unified mono­ graph we now present to the reader a series of books intended to encompass all the mathematics of the nineteenth century, but not in the order of the accepted classification of the component disciplines. In contrast to the first two books of The Mathematics of the Nineteenth Century, which were divided into chapters, this third volume consists of four parts, more in keeping with the nature of the publication. 1 We recall that the first book contained essays on the history of mathemati­ 2 cal logic, algebra, number theory, and probability, while the second covered the history of geometry and analytic function theory. In the present third volume the reader will find: 1. An essay on the development of Chebyshev's theory of approximation of functions, later called "constructive function theory" by S. N. Bernshtein. This highly original essay is due to the late N. I. Akhiezer (1901-1980), the author of fundamental discoveries in this area. Akhiezer's text will no doubt attract attention not only from historians of mathematics, but also from many specialists in constructive function theory.

Reseña del editor

This book concludes the outstanding series of historical studies of the mathematics in the nineteenth century. Previous volumes have studied logic, algebra, number theory, probability, geometry, and analytic functions. The third volume encompasses: an essay on the development of Chebyshev's theory of approximation of functions, later called "Constructive function theory", a systematic analysis of the history of the theory of ordinary differential equations from Chauchy and certain of his predecessors up to Poincare and A.M. Lyapunov, an essay of the development of the calculus of variations, and a study of the history of finite differences, in whose development Soviet mathematicians have played a prominent role. This book will be a valuable source of understanding the development of these areas. It provides the general reader, as well as historians of science, not only with the descriptive history but also with a good understanding of the outer and inner motivations and the results and effects of the presented concepts and methods.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2012
Idioma
Inglés
ISBN 10 
3034898010
ISBN 13 
9783034898010
Encuadernación
Tapa blanda
Número de páginas
372
Editor
Kolmogorov A.N., Yushkevich A.P.
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9783764358457: Mathematics of the 19th Century: Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences

Edición Destacada

ISBN 10:  3764358459 ISBN 13:  9783764358457
Editorial: Birkhäuser, 1998
Tapa dura