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Mathematician for All Seasons
  • Language: en
  • Pages: 411

Mathematician for All Seasons

  • Type: Book
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  • Published: 2016-02-08
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  • Publisher: Birkhäuser

This book presents, in his own words, the life of Hugo Steinhaus (1887–1972), noted Polish mathematician of Jewish background, educator, and mathematical popularizer. A student of Hilbert, a pioneer of the foundations of probability and game theory, and a contributor to the development of functional analysis, he was one of those instrumental to the extraordinary flowering of Polish mathematics before and after World War I. In particular, it was he who “discovered” the great Stefan Banach. Exhibiting his great integrity and wit, Steinhaus’s personal story of the turbulent times he survived – including two world wars and life postwar under the Soviet heel – cannot but be of consumi...

Mathematics Tomorrow
  • Language: en
  • Pages: 245

Mathematics Tomorrow

Mathematics today is approaching a state of cnSIS. As the demands of science and society for mathematical literacy increase, the percentage of American college students intending to major in mathematics plummets and achievement scores of entering college students continue thelt unremit ting decline. As research in core mathematics reaches unprecedented heights of power and sophistication, the growth of diverse applied special ties threatens to fragment mathematics into distinct and frequently hostile mathematical sciences. These crises in mathematics presage difficulties for science and engineer ing, and alarms are beginning to sound in the scientific and even in the political communities. C...

Proofs that Really Count
  • Language: en
  • Pages: 210

Proofs that Really Count

Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.

Bernhard Riemann 1826–1866
  • Language: en
  • Pages: 372

Bernhard Riemann 1826–1866

The name of Bernard Riemann is well known to mathematicians and physicists around the world. His name is indelibly stamped on the literature of mathematics and physics. This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemann’s work and to the development of them in their historical context. This illuminating English-language version of the original German edition will be an important contribution to the literature of the history of mathematics.

In Search of Infinity
  • Language: en
  • Pages: 151

In Search of Infinity

The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At the time, many scientists ignored the paradoxes and used set theory extensively in their work, while others subjected set-theoretic methods in mathematics to harsh criticism. The debate intensified when a group of French mathematicians, who wrote und...

Hesiod's Anvil
  • Language: en
  • Pages: 368

Hesiod's Anvil

  • Type: Book
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  • Published: 2007-07-26
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  • Publisher: MAA

Uses popular literature and philosophy to bring the mechanics of motion to life.

A Guide to Complex Variables
  • Language: en
  • Pages: 203

A Guide to Complex Variables

A quick and easy-to-use introduction to the key topics in complex variables, for mathematicians and non-mathematicians alike.

Voltaire’s Riddle: Micromégas and the Measure of All Things
  • Language: en
  • Pages: 397

Voltaire’s Riddle: Micromégas and the Measure of All Things

Did you know that Voltaire was the first to publish the legend of Isaac Newton discovering gravity upon seeing an apple fall? That he tried for about eight years to be a mathematician? That in 1752 he wrote Micromégas, a story about a French expedition to the arctic (1736-7) whose purpose was to test Newton's controversial theories about gravity? This book is about that story and its underlying mathematics. In summary, an alien giant visits earth and encounters the expedition returning from north of the Baltic Sea. Their ensuing dialogue ranges from measurements of the very small to the very large, from gnats and microorganisms to planets and stars, from man's tendency to make war to dreams...

A Guide to Topology
  • Language: en
  • Pages: 128

A Guide to Topology

  • Type: Book
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  • Published: 2009-09-24
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  • Publisher: MAA

A concise introduction to topology to ground students in the basic ideas and techniques of the subject.

The Mathematical Intelligencer
  • Language: en
  • Pages: 354

The Mathematical Intelligencer

  • Type: Book
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  • Published: 1990
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  • Publisher: Unknown

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