Title
A Discrete Transition To Advanced Mathematics (Pure And Applied Undergraduate Texts) (Pure And Applied Undergraduate Texts, 3),New
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As The Title Indicates, This Book Is Intended For Courses Aimed At Bridging The Gap Between Lowerlevel Mathematics And Advanced Mathematics. The Text Provides A Careful Introduction To Techniques For Writing Proofs And A Logical Development Of Topics Based On Intuitive Understanding Of Concepts. The Authors Utilize A Clear Writing Style And A Wealth Of Examples To Develop An Understanding Of Discrete Mathematics And Critical Thinking Skills. While Including Many Traditional Topics, The Text Offers Innovative Material Throughout. Surprising Results Are Used To Motivate The Reader. The Last Three Chapters Address Topics Such As Continued Fractions, Infinite Arithmetic, And The Interplay Among Fibonacci Numbers, Pascal'S Triangle, And The Golden Ratio, And May Be Used For Independent Reading Assignments. The Treatment Of Sequences May Be Used To Introduce Epsilondelta Proofs. The Selection Of Topics Provides Flexibility For The Instructor In A Course Designed To Spark The Interest Of Students Through Exciting Material While Preparing Them For Subsequent Proofbased Courses. The Book Includes A Large Number Of Problems Of Varying Difficulty. A Student Manual With Solutions To Selected Problems Is Available. For More Information Regarding The Student Manual, Please Contact Ams Member And Customer Services At Custserv@Ams.Org. An Instructor'S Manual With Complete Solutions To All The Problems As Well As Supplementary Material Is Available To Teachers Using The Book As The Text For The Class. To Receive It, Send Email To Textbooks@Ams.Org.
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.
For more information, please visit www.P65Warnings.ca.gov.
- Q: What is the total number of pages in this book? A: This book contains four hundred twenty-four pages. It provides comprehensive coverage of advanced mathematics topics suitable for undergraduates.
- Q: What are the dimensions of this book? A: The book measures seven point twenty-five inches in length, zero point seventy-five inches in width, and nine point zero two inches in height. Its compact size makes it easy to handle.
- Q: What type of binding does this book have? A: This book is bound in hardcover. This durable binding ensures longevity and protects the pages during use.
- Q: Who are the authors of this book? A: The authors are Bettina Richmond and Thomas Richmond. They are known for their expertise in mathematics education.
- Q: Is this book suitable for beginners in mathematics? A: Yes, this book is designed to bridge the gap from lower-level mathematics to advanced concepts. It provides clear explanations and examples for learners.
- Q: How can this book help improve mathematical proof skills? A: This book offers a careful introduction to writing proofs and logical development of mathematical concepts. It includes many examples and practice problems.
- Q: What topics are covered in the later chapters of this book? A: The last three chapters cover continued fractions, infinite arithmetic, and the relationships among Fibonacci numbers, Pascal's triangle, and the golden ratio. They are great for independent study.
- Q: Can this book be used for self-study? A: Yes, the book includes numerous problems of varying difficulty suitable for self-study. A student manual with solutions is also available.
- Q: Is there a manual available for instructors? A: Yes, an instructor's manual with complete solutions and supplementary material is available. Teachers can request it via email.
- Q: What is the primary focus of this book? A: The primary focus is to develop an understanding of discrete mathematics and enhance critical thinking skills. It aims to spark student interest in advanced topics.
- Q: Are there any traditional topics included in this book? A: Yes, the book includes many traditional topics in mathematics alongside innovative material. It balances classical and modern approaches.
- Q: What can I expect from the writing style of the authors? A: The authors utilize a clear writing style that is accessible to students. They emphasize intuitive understanding of mathematical concepts.
- Q: How does this book motivate readers? A: The book uses surprising results and engaging examples to motivate readers. It aims to inspire curiosity and deeper understanding of mathematics.
- Q: Is this book part of a series? A: Yes, this book is part of the Pure and Applied Undergraduate Texts series. It is designed for undergraduate-level courses.
- Q: What kind of problems can I expect in this book? A: The book contains a large number of problems with varying difficulty levels. These problems are designed to challenge and reinforce learning.
- Q: How can I get more information about the student manual? A: For more information regarding the student manual, contact AMS Member and Customer Services at the provided email address.