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Daniel J. Velleman
Daniel J. Velleman is the author of How to Prove It, a practical guide to mathematical proof. His work focuses on making complex mathematical concepts accessible.
How to prove it
Synopsis
Ready to tackle your first math course that requires proofs? This book is your essential guide, breaking down the complex world of mathematical reasoning into manageable steps. It starts with the foundational language of logic and set theory, then builds up to the techniques needed to construct and understand proofs about numbers, functions, and infinity. With over 200 new exercises and helpful software, you'll gain the confidence to prove it yourself.
Genres
Frequently asked questions
Is "How to Prove It" suitable for self-study?
This book is widely used as a textbook for introductory proof-writing courses, but its clear explanations and gradual progression of topics make it highly effective for independent learners. Many readers find it accessible even without a formal classroom setting.
Does this book cover advanced mathematical topics?
While the book introduces foundational concepts essential for higher mathematics, it focuses on the techniques of proof construction rather than delving into advanced theorems in specific fields. It equips readers with the logical tools needed to approach more complex subjects later.
Are there solutions available for the exercises in "How to Prove It"?
A solutions manual for selected exercises is available, which can be a valuable resource for checking understanding and reinforcing learning. This allows readers to verify their work and learn from detailed explanations.