In their own words, many of the world's foremost mathematicians discuss the art and practice of their work in this book, which shines a light on some of the issues of mathematical creativity. It is neither a philosophical treatise nor the presentation of experimental results, but a compilation of reflections from top-calibre working mathematicians. This approach highlights the creative aspects of the field, illustrates the dramatic variation by individual, and hopes to express the vibrancy of creative minds at work. Organised alphabetically, this book is meant for a general audience and is best read by browsing. It can be used as a supplementary text in mathematics history and mathematics education courses.
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Introduction; Chapter A; Chapter B; Chapter C; Chapter D; Chapter E; Chapter F; Chapter G; Chapter H, Chapter I; Chapter J; Chapter K; Chapter L; Chapter M; Chapter N; Chapter P; Chapter R; Chapter S; Chapter T; Chapter U; Chapter V; Chapter W; Appendix A. Hadamard's Survey; Appendix B. Biographies; Bibliography; Index.
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This interesting work is an alphabetic compilation of quotes excerpted from the writings of numerous mathematicians on mathematical creativity (going back many centuries) plus the responses of many contemporary mathematicians to seven questions regarding the creative process. The genesis of this project was a survey done by Jacques Hadamard around 70 years ago. Borwein and Liljedahl (both, Simon Fraser Univ., Canada) and Zhai (bachelor's degree, Simon Fraser) asked five questions (or combinations of questions) from the original survey and two additional ones. Only the most prominent mathematicians were asked to participate. Many are winners of Fields Medals, Wolf Prizes, and other prestigious awards. While not all those surveyed responded to the questions asked, the responses were all relevant. This book is another treasure from the MAA Spectrum series and is sure to be a source of inspiration to student and teacher alike. Those who want to go to the source of motivation for this book might read Jacques Hadamard's The Mathematician's Mind: The Psychology of Invention in the Mathematical Field (1996)."" - R.L. Pour, CHOICE""This book is recommended for all those who wish to know the deeper thoughts of their colleagues."" - Ad Meskens, Mathematical Reviews Clippings
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A book that compiles together reflections on creativity from many of the world's top mathematicians, ideal for browsing.

Produktdetaljer

ISBN
9780883855744
Publisert
2015-10-01
Utgiver
Vendor
Mathematical Association of America
Vekt
300 gr
Høyde
229 mm
Bredde
151 mm
Dybde
11 mm
Aldersnivå
G, 01
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
215

Biographical note

Peter Borwein is the founding Project Leader and currently an Executive Co-Director of The IRMACS Centre. He is a Burnaby Mountain Chair at Simon Fraser University and has been a professor in the Mathematics Department since 1993 when he moved from Dalhousie University. He is also an Adjunct Professor in Computing Science. His research interests span various aspects of mathematics and computer science, health and criminology modelling and visualization. Peter Liljedahl is an Associate Professor of Mathematics Education in the Faculty of Education, an associate member in the Department of Mathematics, and co-director of the David Wheeler Institute for Research in Mathematics Education at Simon Fraser University in Vancouver, Canada. His research interests are creativity, insight, and discovery in mathematics teaching and learning; the role of the affective domain on the teaching and learning of mathematics; the professional growth of mathematics teachers; mathematical problem solving; and numeracy. Helen Zhai graduated with a BSc in Mathematics and BEd from Simon Fraser University. She has received undergraduate NSERC grants, one of which initiated her collaboration with Peter Borwein and Peter Liljedahl in their work on creativity in mathematics teaching and learning.