Title
How to Think Like a Mathematician: A Companion to Undergraduate Mathematics,New
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Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof direct method, cases, induction, contradiction and contrapositive are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.
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- Q: What is the main focus of the book 'How to Think Like a Mathematician'? A: The book focuses on helping students transition to real mathematical thinking, providing techniques to understand definitions, theorems, proofs, and problem-solving.
- Q: Who is the author of 'How to Think Like a Mathematician'? A: The author of the book is Kevin Houston.
- Q: What topics are covered in this book? A: The book covers major proof methods, including direct method, cases, induction, contradiction, and contrapositive, along with topics such as divisors, Euclidean algorithms, and modular arithmetic.
- Q: How many exercises are included in the book? A: The book includes over 300 exercises designed to help students test their understanding and progress.
- Q: What is the condition of the book? A: The book is listed as 'New' and is a used book in good condition.
- Q: What is the binding type of this book? A: The binding type of the book is paperback.
- Q: Is there a release date for the book? A: Yes, the book was published and released on February 23, 2009.
- Q: How many pages does the book have? A: The book contains 274 pages.
- Q: What is the target audience for 'How to Think Like a Mathematician'? A: The target audience is undergraduate mathematics students, whether they are starting their degree or looking to enhance their skills.
- Q: Can this book help with understanding mathematical proofs? A: Yes, the book provides comprehensive techniques and examples that will help readers understand and write mathematical proofs effectively.