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8303130
How to Prove It: A Structured Approach, 2nd Edition
89% of respondents would recommend this to a friend
Item #:
8303130
KYD 85
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Teaches students the techniques needed to read and write proofs with over 200 new exercises, selected solutions, and an introduction to Proof Designer software.
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What Stands Out
Structured Methodology
This edition refines a logical approach to proving mathematical concepts, making complex ideas accessible and understandable for learners, enhancing problem-solving skills effectively.
Updated Examples
Incorporates new, diverse examples that reflect contemporary issues and theories in mathematics, aiding students in applying proofs in real-world scenarios.
Enhanced Clarity
The writing style is clear and concise, ensuring readers can follow intricate proofs without confusion, leading to a more fruitful learning experience.
Product Details
- Teaches techniques for reading and writing proofs for students transitioning from problem-solving to proving theorems
- Covers basic concepts of logic and set theory to familiarize students with mathematical language and interpretation
- Provides a step-by-step breakdown of important techniques used in constructing proofs
- Includes over 200 new exercises, selected solutions, and an introduction to Proof Designer software
- Assumes no background beyond standard high school mathematics
- Previous Edition Hb (1994) 0-521-44116-1, Previous Edition Pb (1994) 0-521-44663-5
| Publisher | Cambridge University Press |
| Publication date | January 16, 2006 |
| Edition | 2nd |
| Language | English |
| Print length | 384 pages |
| ISBN-10 | 0521675995 |
| ISBN-13 | 978-0521675994 |
| Item Weight | 1.17 pounds (530 grams) |
| Dimensions | 6.1 x 0.9 x 8.95 inches (15.5 x 2.3 x 22.7 cm) |
Who Should Buy?
-
Undergraduate Students
Ideal for students needing a solid foundation in mathematical proofs and logic for their coursework.
-
Self-Learners
Great for individuals who wish to independently master proof techniques and improve their logical reasoning skills.
-
Instructors
Useful for educators looking for a structured teaching guide to introduce proof concepts in mathematics courses.
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Advanced Mathematicians
Not suitable for experienced mathematicians who require more complex and advanced proof strategies.
Product Description
How to Prove It: A Structured Approach, 2nd Edition
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Combinatorics Editorial Review
How to Prove It: A Structured Approach, 2nd Edition is an essential resource for anyone looking to deepen their understanding of mathematical proofs. The author, Daniel J. Velleman, excels in breaking down complex concepts into accessible lessons, starting from basic boolean logic through discrete math and into advanced topics such as group theory. Readers have praised its readability and the wealth of exercises provided, which reinforce learning through practice. While some found a limitation in the number of solutions available for exercises, many appreciated the logical structure and comprehensive coverage of topics, making it a favorite for students transitioning to higher-level math.
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Pros
- Clear and concise explanations throughout the book
- Abundant exercises for hands-on practice
- Strong focus on understanding concepts deeply
- Well-structured progression of mathematical ideas
- Helpful examples illustrating complex proofs
Cons
- Some exercises lack provided solutions for self-checking
Product Price History
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Features & Benefits
- Structured approach to teach students the techniques needed to read and write proofs.
- Basic concepts of logic and set theory are explained.
- Step-by-step breakdown of the important techniques used in constructing proofs.
- Contains over 200 new exercises along with selected solutions.
- Introduction to Proof Designer software.
- Assumes no background beyond standard high school mathematics.
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