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bonfire09
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I'm taking an intro to proof's class this semester. What are your thoughts on Velleman's How to prove it book? Are the exercises easy or hard to do?
An "Intro to Proof" class is designed to teach students the fundamental concepts and techniques used in mathematical proof writing. It serves as a foundation for higher level math courses and prepares students to think critically and logically.
Daniel J. Velleman is a mathematician and professor at Amherst College. His book "How to Prove It" is a widely used textbook in "Intro to Proof" classes because it provides a clear and comprehensive introduction to proof techniques and includes a variety of exercises and examples to help students practice and develop their skills.
Some of the key topics covered in an "Intro to Proof" class include logic and basic proof strategies, mathematical induction, sets and functions, relations and equivalence, and proofs involving real numbers and sequences.
By taking an "Intro to Proof" class, you can expect to develop critical thinking and problem-solving skills, as well as the ability to construct clear and rigorous mathematical arguments. You will also gain a deeper understanding of mathematical concepts and their applications.
While specific prerequisites may vary depending on the institution, most "Intro to Proof" classes require a solid understanding of high school mathematics, including algebra, geometry, and trigonometry. It is also helpful to have some familiarity with mathematical notation and basic logic.