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Unity and Disunity and Other Mathematical Essays [Pehme köide]

  • Formaat: Paperback / softback, 149 pages, kõrgus x laius: 254x178 mm, kaal: 290 g
  • Ilmumisaeg: 01-Oct-2015
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470420236
  • ISBN-13: 9781470420239
Teised raamatud teemal:
  • Formaat: Paperback / softback, 149 pages, kõrgus x laius: 254x178 mm, kaal: 290 g
  • Ilmumisaeg: 01-Oct-2015
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470420236
  • ISBN-13: 9781470420239
Teised raamatud teemal:
This book is a mathematical potpourri. Its material originated in classroom presentations, formal lectures, sections of earlier books, book reviews, or just things written by the author for his own pleasure. Written in a nontechnical fashion, this book expresses the unique vision and attitude of the author towards the role of mathematics in society. It contains observations or incidental remarks on mathematics, its nature, its impacts on education and science and technology, its personalities and their philosophies. The book is directed towards the math buffs of the world and, more generally, towards the literate and interested public.

Philip Davis is known for his work in numerical analysis and approximation theory, as well as his investigations in the history and philosophy of mathematics. Currently a Professor Emeritus from the Division of Applied Mathematics at Brown University, Davis is known for his books both in the areas of computational mathematics and approximation theory and for books exploring certain questions in the philosophy of mathematics and the role of mathematics in society.

Arvustused

Opening the collection of essays on Unity and disunity by Philip K. Davis to any selection was likehearing my friend's voice rise and fall, synthesizing disparate ideas in a wondrous conversation between the one and the universe, with me as a permitted eavesdropperIf you want a fun book to read, you will find treasures here in these essays by one who does indeed span the two cultures." - Andrew James Simoson, Mathematical Reviews

Preface ix
The Unity and Disunity of Mathematics
1(20)
Evidence in Mathematics
21(14)
Out of What Stuff Do We Make Mathematics?
35(10)
Computational Experiences in the Pre-Electronic Days
45(4)
Spengler's Mathematics Considered and a Phoenix Reborn?
49(16)
Can the Mathematical/Physical Notions of Entropy Be Usefully Imported into the Social Sphere?
65(14)
The Decline, Fall, and Current Resurgence of Visual Geometry: Mathematics as a Multisemiotic Enterprise
79(14)
The Unicorn or Mathematical Ontology
93(8)
Mathematics, Politics, and Law
101(4)
The Two Culture Controversy: A Mathematician's View a Half Century Later
105(18)
Four Literary Men Comment on Mathematics: Henry James, George Santayana, Paul Valery, and Isaiah Berlin
123(14)
The Media and Mathematics Look at Each Other
137(10)
New Winds Blowing in Applied Mathematics
147
Philip J. Davis, Brown University, Providence, RI, USA.