André-Louis Cholesky

Mathematician, Topographer and Army Officer

Claude Brezinski, Dominique Tournès (Autoren)

Buch | Softcover

XIII, 331 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-38157-2 (ISBN)

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This book traces the life of Cholesky (1875-1918), and gives his family history. After an introduction to topography, an English translation of an unpublished paper by him where he explained his method for linear systems is given, studied and replaced in its historical context. His other works, including two books, are also described as well as his involvement in teaching at a superior school by correspondence. The story of this school and its founder, Léon Eyrolles, are addressed. Then, an important unpublished book of Cholesky on graphical calculation is analyzed in detail and compared to similar contemporary publications. The biography of Ernest Benoit, who wrote the first paper where Cholesky´s method is explained, is provided. Various documents, highlighting the life and the personality of Cholesky, end the book.

Claude Brezinski is emeritus professor of numerical analysis at the University of Sciences and Technologies of Lille (Laboratory Paul Painlevé, UMR CNRS 8524), France. His work mainly concerns extrapolation methods, orthogonal polynomials, Padé and rational approximation and numerical linear algebra. He also published several papers and books on the history of sciences. Dominique Tournès is professor of mathematics and history of mathematics at the University of La Réunion (Laboratory of Mathematics and Computer Science, EA 2525), France and associate researcher at the SPHERE laboratory (UMR 7219, CNRS and University Paris-Diderot, France). His work focuses on the history of calculation methods and instruments since the seventeenth century, particularly regarding differential equations.

Preface.- Biography of Cholesky.- Cholesky's family.- On topography.- The method of Cholesky for linear systems.- Other works of Cholesky.- Léon Eyrolles and his superior school.- An unpublished book by Cholesky.- Ernest Benoît.- Documents.- Acknowledgments.- Bibliography.- Index.

"The volume represents a valuable contribution to the growing literature on the history of applied and computational mathematics ... . the book will be of interest to applied mathematicians with a curiosity about historical matters, and to professional historians of science who specialize in the history of 'practical mathematics,' topography, geodesy, and computing methods." (Michele Benzi, The Mathematical Intelligencer, Vol. 39, 2017)

"A nicely illustrated book, many photographs appear of Cholesky, often in military uniform, his family, colleagues and contemporaries. The topographical terms and techniques are well described ... . Cholesky was very practical and resourceful. ... A very stimulating and engaging book, a motivation to further research of the techniques considered." (Wallace A. Ferguson, Mathematics Today, Vol. 52 (2), April, 2016)

"The book should appreciably widen the exposure of Cholesky's 'remarkable personal achievements in topography and mathematics to a much larger international audience.' The authors succeed very well to reach this aim. ... The book is very readable and can be recommended especially to readers with interest in the history of numerical and applied mathematics." (Karl-Heinz Schlote, zbMATH 1320.01002, 2015)

Erscheinungsdatum	03.08.2016
Zusatzinfo	XIII, 331 p. 134 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
Schlagworte	André-Louis Cholesky • Applications of Mathematics • Biography • Computational Mathematics and Numerical Analysis • History of mathematical sciences • mathematics and statistics • scientists engineers
ISBN-10	3-319-38157-1 / 3319381571
ISBN-13	978-3-319-38157-2 / 9783319381572
Zustand	Neuware