Algebra/Trigonometey (Precal) books with rigor?

  • Thread starter Thread starter TitoSmooth
  • Start date Start date
  • Tags Tags
    Books
AI Thread Summary
For aspiring mathematicians seeking rigorous algebra and trigonometry resources, several recommendations emerged in the discussion. The user expressed a preference for challenging materials beyond the Sullivan, Stewart, and McGuire texts, which they found too easy. They highlighted Cohen's pre-calculus book as their best option but are looking for even more difficult alternatives. Suggested texts include Serge Lang's "Basic Mathematics" and I.M. Gelfand's "Trigonometry" and "Algebra." Additionally, "Principles of Mathematics" by Allendoerfer and Oakey was mentioned as another classic option, though it features an older presentation style. These books are noted for their depth and rigor, making them suitable for those wanting to deepen their mathematical understanding.
TitoSmooth
Messages
158
Reaction score
6
I am an aspiring mathemarician and wanted to know algebra/trig books with rigor. I have sullivan pre cal/ stewart/mcguie and these are extremely easy books. I enjoy the sullivan book because of its wide range of topics( introduction to vectors) but the exercises are extremely easy.

The best pre cal book I own is by Cohen and the problems are harder then the other books I own.
Yet I want to get a book or more that are more challenging then Cohen. Any ideas?
 
Physics news on Phys.org
Serge Lang and I.M. Gelfand

You can consider Serge Lang's Basic Mathematics and the two books by Gelfand Trigonometry and Algebra
 
How about another old one: Principles of Mathematics by Allendoerfer/Oakey?
 

Thread '"WHAT IS A QUANTUM FIELD THEORY?" A First Introduction for Mathematicians'

The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
View full post »

Thread 'Books with a more theoretical approach to turbulence and DNS'

I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...
View full post »

Similar threads

Intro Math Plan to revise my learned math & start learning pure math
Replies
5
Views
4K
Book on how to define ideas rigorously
Replies
6
Views
2K
  • Sticky
Other Collection of Free Online Math Books and Lecture Notes (part 1)
Replies
16
Views
10K
Linear Algebra Prerequisite of the book "Linear Algebra done right"
Replies
3
Views
4K
Other Exercise book between underg and grad physics
Replies
9
Views
2K
Analysis Study plan for Functional Analysis - Recommendations and critique
Replies
13
Views
4K
Calculus Which books for Calculus AND Linear Algebra
Replies
4
Views
3K
Algebra Supplementary Problems for Zariski/Samuel's Commutative Alg.
Replies
6
Views
2K
Foundations Theoretical Books on Mathematics
Replies
4
Views
2K
Algebra Abstract Algebra Book: Find the Best Textbook for Rigorous Understanding
Replies
4
Views
3K

Hot Threads

Recent Insights

Back
Top