Unity and disunity and other mathematical essays

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書誌事項

Unity and disunity and other mathematical essays

Philip J. Davis

American Mathematical Society, c2015

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Includes bibliographical references

内容説明・目次

内容説明

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.

目次

The unity and disunity of mathematics Evidence in mathematics Out of what stuff do we make mathematics? Computational experiences in the pre-electronic days Spengler's mathematics considered and a Phoenix reborn? Can the mathematical/physical notions of entropy be usefully imported into the social sphere? The decline, fall, and current resurgence of visual geometry: Mathematics as a multisemiotic enterprise The unicorn or mathematical ontology Mathematics, politics, and law The two culture controversy: A mathematician's view a half century later Four literary men comment on mathematics: Henry James, George Santayana, Paul Valéry, and Isaiah Berlin The media and mathematics look at each other New winds blowing in applied mathematics

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