Discrete Thoughts: Essays on Mathematics, Science and Philosophy 2nd Edition by Mark Kac (PDF)

Description

This is a volume of essays and reviews that delightfully explores mathematics in all its moods ― from the light and the witty, and humorous to serious, rational, and cerebral. These beautifully written articles from three great modern mathematicians will provide a source for supplemental reading for almost any math class. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and broad applications of mathematics. Readers will also find coverage of history and philosophy, including discussion of the work of Ulam, Kant, and Heidegger, among others.

User’s Reviews

Editorial Reviews: Review From the reviews of the second edition:”…These papers reflect on mathematics and its influence on human society. They can help the specialist to notice what is going on around him, and they may lead educated people from other domains to a better understanding of mathematics. Many of these papers can advise educators how to form a modern mathematics education, which develops approved ideas and institutions…I admire the stimulating perspectives of the authors”–American Mathematical Society”Kac, Rota, and Schwartz have collected here: occasional essays about mathematics, mathematicians, and surrounding subjects. … The essays are fun to read, light in manner but serious in content. Many of them are provocative. … As a result, the book would make wonderful fodder for a reading course or seminar. … Discrete Thoughts is a classic indeed.” (Fernando Q. Gouvêa, MathDL, January, 2008) From the Back Cover This is a volume of essays and reviews that delightfully explore mathematics in all its moods ― from the light and the witty, and humorous to serious, rational, and cerebral. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and applications of mathematics broadly. You will also find history and philosophy covered, including discussion of the work of Ulam, Kant, Heidegger among others.”…these papers reflect on mathematics and its influence on human society. They can help the specialist to notice what is going on around him, and they may lead educated people from other domains to a better understanding of mathematics. Many of these papers can advise educators how to form a modern mathematics education, which develops approved ideas and institutions…I admire the stimulating perspectives of the authors.”—American Mathematical Society”‘Mathematicians, like Proust and everyone else, are at their best when writing about their first love’ … They are among the very best we have; and their best is very good indeed. … One approaches this book with high hopes. Happily, one is not disappointed.”— From The Mathematical Intelligencer”Mathematics is shaped by the consistent concerns and styles of powerful minds ―three of which are represented here. Kac’s work is marked by deep commitment and breadth of inquiry. Rota is the easiest of these authors to read…a delight: witty and urbane, with a clear and interesting agenda and an astonishing intellectual range. To read him is to be a part of a pleasant and rewarding conversation.―Mathematics Magazine

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is an unusual book on the discipline of mathematics. Don’t look here for the usual fluffy collages of fractals, chaos theory and hagiographies.What this book offers is a collection of essays on the state and nature of mathematics by three top mathematicians. They’re honestly worried about the schism between math and science, interested in the effect the computer could have on math, critical about the mathematical establishment. They’re completely honest, and their criticisms are incisive and well reasoned. This book is food for thought, and not only about math.The authors differ in their writing styles. While all three have good essays, Rota is a fantastic writer, and his mixture of serious thought, pith and gossip is completely refreshing. You should also read (before this book) Rota’s “Indiscrete Thoughts”.

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Download Discrete Thoughts: Essays on Mathematics, Science and Philosophy 2nd Edition PDF
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