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An Introduction to Abstract Mathematics,New
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Bond and Keane explicate the elements of logical, mathematical argument to elucidate the meaning and importance of mathematical rigor. With definitions of concepts at their disposal, students learn the rules of logical inference, read and understand proofs of theorems, and write their own proofsall while becoming familiar with the grammar of mathematics and its style. In addition, they will develop an appreciation of the different methods of proof (contradiction, induction), the value of a proof, and the beauty of an elegant argument. The authors emphasize that mathematics is an ongoing, vibrant disciplineits long, fascinating history continually intersects with territory still uncharted and questions still in need of answers. The authors' extensive background in teaching mathematics shines through in this balanced, explicit, and engaging text, designed as a primer for higherlevel mathematics courses. They elegantly demonstrate process and application and recognize the byproducts of both the achievements and the missteps of past thinkers. Chapters 15 introduce the fundamentals of abstract mathematics and chapters 68 apply the ideas and techniques, placing the earlier material in a real context. Readers' interest is continually piqued by the use of clear explanations, practical examples, discussion and discovery exercises, and historical comments.
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- Q: What is the main focus of 'An Introduction to Abstract Mathematics'? A: The book focuses on logical and mathematical arguments, teaching students about mathematical rigor, the rules of logical inference, and how to read and write proofs.
- Q: Who are the authors of this book? A: The authors are Robert J. Bond and Keane, both of whom have extensive backgrounds in teaching mathematics.
- Q: What topics are covered in the book? A: The book covers the fundamentals of abstract mathematics, including methods of proof like contradiction and induction, as well as the value and beauty of proofs.
- Q: Is this book suitable for beginners in mathematics? A: Yes, it is designed as a primer for higher-level mathematics courses and is suitable for beginners who want to understand abstract mathematics.
- Q: What is the condition of the book being sold? A: The book is listed as a 'Used Book in Good Condition', indicating it may have some wear but is still functional.
- Q: How many pages does the book contain? A: The book contains 323 pages.
- Q: What is the binding type of this book? A: The binding type of the book is paperback.
- Q: When was 'An Introduction to Abstract Mathematics' published? A: The book was published on August 15, 2007.
- Q: What category does this book fall under? A: The book falls under the category of Probability & Statistics.
- Q: Does the book include practical examples? A: Yes, the book includes clear explanations, practical examples, and discussion exercises to engage readers.