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Roads to Infinity (AK Peters/CRC Recreational Mathematics Series),New
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Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is historical and partly informal, but with due attention to the subtleties of the subject.Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions and developments in mathematics. A particular aim of the book is to acknowledge some important but neglected figures in the history of infinity, such as Post and Gentzen, alongside the recognized giants Cantor and Gdel.
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- Q: What is the main focus of 'Roads to Infinity'? A: 'Roads to Infinity' explores modern concepts of infinity and their significance in mathematics, integrating ideas from set theory and mathematical logic.
- Q: Who is the author of this book? A: The author of 'Roads to Infinity' is John Stillwell.
- Q: What are the key topics covered in the book? A: The book covers topics like the nature of infinity, the evolution of mathematical ideas, number theory, and combinatorics.
- Q: Is this book suitable for beginners in mathematics? A: 'Roads to Infinity' is accessible for those with a basic understanding of mathematics, as it presents concepts in a historical and informal manner.
- Q: What is the condition of the book being sold? A: The book is listed as 'New', ensuring that it is in pristine condition.
- Q: How many pages does 'Roads to Infinity' have? A: 'Roads to Infinity' contains a total of 216 pages.
- Q: What type of binding does this book have? A: This book features hardcover binding, providing durability and a premium feel.
- Q: When was 'Roads to Infinity' published? A: 'Roads to Infinity' was published on July 13, 2010.
- Q: What is the intended audience for this book? A: The book is intended for readers interested in recreational mathematics, set theory, and the philosophical implications of infinity.
- Q: Does the book include historical figures in mathematics? A: Yes, the book acknowledges both well-known and neglected figures in the history of infinity, such as Cantor, Gödel, Post, and Gentzen.