Title
Finite Versus Infinite: Contributions to an Eternal Dilemma (Discrete Mathematics and Theoretical Computer Science),Used
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The finite infinite interplay is central in human thinking, from ancient philosophers and mathematicians (Zeno, Pythagoras), to modern mathe matics (Cantor, Hilbert) and computer science (Turing, Godel). Recent developments in mathematics and computer science suggest a) radically new answers to classical questions (e. g. , does infinity exist?, where does infinity come from?, how to reconcile the finiteness of the human brain with the infinity of ideas it produces?), b) new questions of debate (e. g. , what is the role played by randomness?, are computers capable of handling the infinity through unconventional media of computation?, how can one approximate efficiently the finite by the infinite and, conversely, the infinite by finite?). Distinguished authors from around the world, many of them architects of the mathematics and computer science for the new century, contribute to the volume. Papers are as varied as Professor Marcus' activity, to whom this volume is dedicated. They range from real analysis to DNA com puting, from linguistics to logic, from combinatorics on words to symbolic dynamics, from automata theory to geography, and so on, plus an incursion into the old history of conceptions about infinity and a list of philosophical 'open problems'. They are mainly mathematical and theoretical computer science texts, but not all of them are purely mathematical.
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- Q: What is the main theme of 'Finite Versus Infinite'? A: The main theme of 'Finite Versus Infinite' revolves around the interplay between finite and infinite concepts in mathematics and computer science, exploring classical questions and recent developments in these fields.
- Q: Who is the author of this book? A: The book is authored by Cristian S. Calude, a recognized figure in the fields of mathematics and theoretical computer science.
- Q: What topics are covered in this book? A: The book covers a variety of topics including real analysis, DNA computing, linguistics, logic, combinatorics, automata theory, and historical conceptions of infinity.
- Q: When was 'Finite Versus Infinite' published? A: The book was published on February 25, 2000.
- Q: What is the format of the book? A: The book is available in paperback format, making it accessible for readers who prefer physical copies.
- Q: Is this book suitable for beginners in mathematics? A: While the book contains advanced topics, it may not be suitable for complete beginners as it addresses complex issues in mathematics and theoretical computer science.
- Q: How many pages does the book contain? A: The book contains a total of 384 pages.
- Q: Are there any specific mathematical theories discussed in the book? A: Yes, the book discusses multiple mathematical theories, including concepts related to infinity and randomness, as well as contributions from notable mathematicians.
- Q: Is there a bibliography or references provided in the book? A: Yes, the book includes a list of philosophical 'open problems' and references to support its discussions.
- Q: Can this book be used as a reference for academic research? A: Yes, given its scholarly contributions and the expertise of its authors, the book can be a valuable reference for academic research in mathematics and computer science.