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Mathematics and Its History41,99 €
General textbooks, attempting to cover three thousand or so years of mathematical history, must necessarily oversimplify just about everything, the practice of which can scarcely promote a critical approach to the subject. To counter this, History of Mathematics offers deeper coverage of key select topics, providing students with material that could encourage more critical thinking. It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum.
From the reviews:
"This is very personal book, full of personal asides and footnotes that reveal the author's thought process. It's also an argumentative book ... which made me want to argue back. I kept reading. ... this is an interesting book. ... I do think anyone who teaches history of mathematics can find useful things here." (Fernando Q. Gouvêa, MathDL, December, 2007)
"This volume ... aims to discuss just a few topics from pre-20th-century mathematics, but to address them in some mathematical and historical detail. ... The book includes an appendix offering a dozen historical/mathematical projects. Overall, an interesting volume. Summing Up: Recommended. Upper-division undergraduates through researchers/faculty." (S. J. Colley, CHOICE, Vol. 45 (11), August, 2008)
"This is very personal book, full of personal asides and footnotes that reveal the author's thought process. It's also an argumentative book ... which made me want to argue back. I kept reading. ... this is an interesting book. ... I do think anyone who teaches history of mathematics can find useful things here." (Fernando Q. Gouvêa, MathDL, December, 2007)
"This volume ... aims to discuss just a few topics from pre-20th-century mathematics, but to address them in some mathematical and historical detail. ... The book includes an appendix offering a dozen historical/mathematical projects. Overall, an interesting volume. Summing Up: Recommended. Upper-division undergraduates through researchers/faculty." (S. J. Colley, CHOICE, Vol. 45 (11), August, 2008)
Aus den Rezensionen: "... Craig Smorynski hat ein 'Supplement' zu einer Vorlesung über die Geschichte der Mathematik vorgelegt, mit dem er sowohl das kritische Verständnis seiner Hörer schulen möchte, wie auch an ... ausgewählten Beispielen die Mathematik im Detail beschreiben will. ... Mir gefällt der Stil des Autors und seine Auswahl der Inhalte ganz außerordentlich. ... Man findet hier tatsächlich das Material, dass man in einem Überblickskurs verwenden kann, um partiell etwas tiefer zu bohren. ... Insgesamt ist Smorynskis Buch ein wertvolles und lesbares Addendum ... zur mathematikhistorischen Literatur ..." (Thomas Sonar, in: Mathematische Semesterberichte, 31. Jan. 2009, Vol. 156, S. 134 f.)