Cours d'analyse mathématique PDF Download

Author: Édouard Goursat
Publisher:
ISBN:
Category :
Languages : fr
Pages :

View

Book Description

Author: Richard Courant
Publisher: John Wiley & Sons
ISBN: 3527617248
Category : Science
Languages : en
Pages : 852

View

Book Description
Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.

Author: Edouard Goursat
Publisher: Courier Corporation
ISBN: 0486446522
Category : Mathematics
Languages : en
Pages : 756

View

Book Description
Classic three-volume study. Volume 1 covers applications to geometry, expansion in series, definite integrals, and derivatives and differentials. Volume 2 explores functions of a complex variable and differential equations. Volume 3 surveys variations of solutions and partial differential equations of the second order and integral equations and calculus of variations.

Author: Harold Thayer Davis
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 600

View

Book Description

Author: A.N. Kolmogorov
Publisher: Springer Science & Business Media
ISBN: 9783764358457
Category : Mathematics
Languages : en
Pages : 376

View

Book Description
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.

Author: Harold Thayer Davis
Publisher: Courier Corporation
ISBN: 9780486609713
Category : Mathematics
Languages : en
Pages : 598

View

Book Description
Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.

Author: Augustus De Morgan
Publisher: Cosimo, Inc.
ISBN: 1602063796
Category : History
Languages : en
Pages : 156

View

Book Description
In this early textbook by mathematician Augustus De Morgan and first published in 1836, serious students of math will find useful lessons, explanations, and diagrams. Math and math textbooks of his time were found to be generally inaccessible to the public at large, so De Morgan, who believed that everyone should be educated in mathematics because it was so essential to science and modern life, relies on simple, straightforward, and easy-to-understand language, despite the depth of his topic. Among the areas covered here are: infinitely small quantities, infinite series, ratios of continuously increasing or decreasing quantities, and algebraical geometry.British mathematician Augustus De Morgan (1806-1871) invented the term mathematical induction. Among his many published works is Trigonometry and Double Algebra and A Budget of Paradoxes.

Author: Nail H. Ibragimov
Publisher: World Scientific
ISBN: 9814291951
Category : Mathematics
Languages : en
Pages : 365

View

Book Description
A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author?s own theoretical developments. The book ? which aims to present new mathematical curricula based on symmetry and invariance principles ? is tailored to develop analytic skills and ?working knowledge? in both classical and Lie?s methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundamental solution, etc. easy to follow and interesting for students. The book is based on the author?s extensive teaching experience at Novosibirsk and Moscow universities in Russia, CollŠge de France, Georgia Tech and Stanford University in the United States, universities in South Africa, Cyprus, Turkey, and Blekinge Institute of Technology (BTH) in Sweden. The new curriculum prepares students for solving modern nonlinear problems and will essentially be more appealing to students compared to the traditional way of teaching mathematics.

Author: Salomon Bochner
Publisher: American Mathematical Soc.
ISBN: 9780821801772
Category : Mathematics
Languages : en
Pages : 480

View

Book Description
During his long and productive career, Salomon Bochner worked in a variety of different areas of mathematics. This four-part set brings together his collected papers, illustrating the range and depth of his mathematical interests. The books are available either individually or as a set.

Author: Marlow Anderson
Publisher: MAA
ISBN: 9780883855690
Category : Mathematics
Languages : en
Pages : 448

View

Book Description
This book picks up the history of mathematics from where Sherlock Holmes in Babylon left it. The 40 articles of Who Gave You the Epsilon? continue the story of the development of mathematics into the nineteenth and twentieth centuries. The articles have all been published in the Mathematical Association of America journals and are in many cases written by distinguished mathematicians such as G. H. Hardy and B. van der Waerden. The articles are arranged thematically to show the development of analysis, geometry, algebra and number theory through this period of time. Each chapter is preceded by a foreword, giving the historical background and setting and the scene, and is followed by an afterword, reporting on advances in our historical knowledge and understanding since the articles first appeared. This book is ideal for anyone wanting to explore the history of mathematics.