Need help transitioning from calculus to proof-based math? Check out this book!

[ice109]

what's a good book to segue from a calc sequence to upper level proof based classes? i need something that presumes nothing about my mathematical reasoning abilities, like i don't even know how to do proof by induction.

 

[tronter]

The best book in my opinion is An Introduction to Mathematical Reasoning by Peter J Eccles. It teaches you how do proofs, and covers a variety of mathematical fields. I myself learned to do proofs from this book. He is coming out without another edition later on. The book has questions and problems. The problems are harder than the questions, and some of them are challenging.

 

[charng]

As a scientist with experience in proof-based math, I can understand the difficulty in transitioning from calculus to proof-based classes. It requires a different way of thinking and approaching problems. I would recommend the book "How to Prove It: A Structured Approach" by Daniel J. Velleman. This book is specifically designed for students who are new to proof-based math and provides a step-by-step guide to developing mathematical proofs. It covers topics such as proof strategies, mathematical induction, and proof by contradiction, making it a great resource for someone who is just starting to learn about proofs. I hope this recommendation helps in your transition to upper-level proof-based classes. Happy learning!