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.

"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)

• 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The method of Cholesky for linear systems.- Other works of Cholesky.- Léon Eyrolles and his superior school.- An unpublished book by Cholesky.- Ernest Benoît.- Documents.- Acknowledgments.- Bibliography.- Index.

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.

"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)

• 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.