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Proof and the Art of Mathematics: Examples and Extensions,Used
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How to write mathematical proofs, shown in fullyworked out examples.This is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully workedout solutions to all of the oddnumbered exercises as well as a few of the evennumbered exercises. In many cases, the solutions go beyond the exercise question itself to the natural extensions of the ideas, helping readers learn how to approach a mathematical investigation. As Hamkins asks, 'Once you have solved a problem, why not push the ideas harder to see what further you can prove with them?' These solutions offer readers examples of how to write a mathematical proofs.The mathematical development of this text follows the main book, with the same chapter topics in the same order, and all theorem and exercise numbers in this text refer to the corresponding statements of the main text.
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- Q: What is the main focus of 'Proof and the Art of Mathematics'? A: The book focuses on teaching readers how to write mathematical proofs through fully worked-out examples and extensions of exercises.
- Q: Who is the author of this book? A: The author is Joel David Hamkins.
- Q: What type of exercises does this book include? A: The book provides solutions to all odd-numbered exercises and some even-numbered exercises from the main text.
- Q: What is the page count of this book? A: The book contains 132 pages.
- Q: What is the binding type of 'Proof and the Art of Mathematics'? A: The book is available in paperback binding.
- Q: When was this book published? A: The book was published on February 23, 2021.
- Q: Is this book suitable for beginners in mathematics? A: Yes, it is designed to help readers learn how to approach mathematical investigations, making it suitable for beginners.
- Q: Does this book follow the same structure as the main text? A: Yes, the mathematical development follows the same chapter topics and order as the main book.
- Q: What can readers expect from the solutions provided in this book? A: Readers can expect comprehensive solutions that often explore further implications of the exercises, enhancing their understanding of mathematical concepts.
- Q: Is 'Proof and the Art of Mathematics' part of a series? A: Yes, it is a companion volume to Joel Hamkins's main text 'Proof and the Art of Mathematics'.