Turning Points in the History of Mathematics

Hardy Grant was, before his retirement, Associate Professor in the Department of Mathematics and Statistics, York University, Toronto, CanadaIsrael Kleiner is Professor Emeritus, the Department of Mathematics and Statistics, York University, Toronto, Canada

• Axiomatics - Euclid's and Hilbert's: From Material to Formal.- Solution by Radicals of the Cubic: From Equations to Groups and from Real to Complex Numbers.- Analytic Geometry: From the Marriage of Two Fields to the Birth of a Third.- Probability: From Games of Chance to an Abstract Theory.- Calculus: From Tangents and Areas to Derivatives and Integrals.- Gaussian Integers: From Arithmetic to Arithmetics.- Non-Euclidean Geometry: From One Geometry to Many.- Hypercomplex Numbers: From Algebra to Algebras.- The Infinite: From Potential to Actual.- Philosophy of Mathematics: From Hilbert to Gödel.- Some Further Turning Points.- Index.

"Turning Points does provide a useful summary and outline of at least a portion of the subject, and also functions nicely as a way of helping to mentally organize the material. It contains a number of good quotes, and a decent selection of bibliographic references at the end of each chapter. There are also problems at the end of each chapter, generally calling for essay-type answers that should require the student to do further reading." (Mark Hunacek, MAA Reviews, maa.org, June, 2016) "Each chapter contains some problems and projects (they extend and increase the understanding of the material) as well as references and suggestions of further readings. A comprehensive index has been supplemented. The book can serve everyone interested in the historical development of mathematics - some mathematical background is of course required. It can serve teachers and students, can be used in courses in the history of mathematics as well as in courses in particular domains of mathematics ... ." (Roman Murawski, zbMATH 1342.01005, 2016)