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

AI Thread Summary
A recommended book for transitioning from calculus to upper-level proof-based mathematics is "An Introduction to Mathematical Reasoning" by Peter J Eccles. This book is suitable for those with limited experience in mathematical reasoning, including proof by induction. It effectively teaches proof techniques and covers various mathematical fields. The text includes both questions and problems, with the problems being notably more challenging, providing a solid foundation for developing proof skills. An updated edition of the book is expected to be released soon.
ice109
Messages
1,707
Reaction score
6
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.
 
Physics news on Phys.org
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.
 

Thread 'Opinions/personal experiences on the following four CompSci books'

For the following four books, has anyone used them in a course or for self study? Compiler Construction Principles and Practice 1st Edition by Kenneth C Louden Programming Languages Principles and Practices 3rd Edition by Kenneth C Louden, and Kenneth A Lambert Programming Languages 2nd Edition by Allen B Tucker, Robert E Noonan Concepts of Programming Languages 9th Edition by Robert W Sebesta If yes to either, can you share your opinions about your personal experience using them. I...
View full post »

Thread 'Ashcroft and Mermin: revised edition'

Hi, I have notice that Ashcroft, Mermin and Wei worked at a revised edition of the original solid state physics book (here). The book, however, seems to be never available. I have also read that the reason is related to some disputes related to copyright. Do you have any further information about it? Did you have the opportunity to get your hands on this revised edition? I am really curious about it, also considering that I am planning to buy the book in the near future... Thanks!
View full post »

Thread 'Collection of Free Online Physics Books and Lecture Notes (Part 2)'

This is part 2 of my thread Collection of Free Online Math Books and Lecture Notes Here, we will consider physics and mathematical methods for physics resources. Now, this is a work in progress. Please feel free comment regarding items you want to be included, or if a link is broken etc. Note: I will not post links to other collections, each link will point you to a single item. :book:📚📒 [FONT=trebuchet ms]Introductory college/university physics College Physics, Openstax...
View full post »

Similar threads

Intro Math Plan to revise my learned math & start learning pure math
Replies
5
Views
4K
Intro Math Suggestions for an Intro to Proofs Math textbook for Self Study
Replies
8
Views
3K
Book recommendations (abstract algebra and number theory)
Replies
5
Views
3K
Intro Math Are the (translated) High School Japanese maths textbooks by Kodaira Good?
Replies
15
Views
4K
Algebra Book on Lie algebra & Lie groups for advanced math undergrad
Replies
5
Views
2K
Intro Physics BEST Calc- and Algebra-Based Textbooks with the same Chapter Sequence?
Replies
28
Views
3K
Intro Math What to read after "Book of Proof?"
Replies
8
Views
3K
Analysis Have a math degree, need to refamiliarize with advanced math
Replies
10
Views
2K
Calculus Suggestion for a proof-based math text book for high school
Replies
3
Views
2K
  • Sticky
Other Collection of Free Online Math Books and Lecture Notes (part 1)
Replies
16
Views
10K

Hot Threads

Recent Insights

Back
Top