Reddit reviews Combinatorics: A Guided Tour (MAA Textbooks)
We found 5 Reddit comments about Combinatorics: A Guided Tour (MAA Textbooks). Here are the top ones, ranked by their Reddit score.
Used Book in Good Condition
We found 5 Reddit comments about Combinatorics: A Guided Tour (MAA Textbooks). Here are the top ones, ranked by their Reddit score.
You need a good foundation: a little logic, intro to proofs, a taste of sets, a bit on relations and functions, some counting(combinatorics/graph theory) etc. The best way to get started with all this is an introductory discrete math course. Check these books out:
Mathematics: A Discrete Introduction by Edward A. Scheinerman
Discrete Mathematics with Applications by Susanna S. Epp
How to Prove It: A Structured Approach Daniel J. Velleman
Learning to Reason: An Introduction to Logic, Sets, and Relations by Nancy Rodgers
Combinatorics: A Guided Tour by David R. Mazur
A First Course in Graph Theory by Chartrand and Zhang
Combinatorics: A Guided Tour by Mazur
Discrete Math by Epp
For Linear Algebra I like these below:
Lecture Notes by Tao
Linear Algebra: An Introduction to Abstract Mathematics by Robert Valenza
Linear Algebra Done Right by Axler
Linear Algebra by Friedberg, Insel and Spence
Here's an open source book on the topic. And also a more computationally focused texted as well.
I've also heard good things about [this one](Combinatorics: Topics, Techniques, Algorithms https://www.amazon.com/dp/0521457610/ref=cm_sw_r_cp_api_iCKzxbCVJHRQ4), [this one ](Combinatorics: A Guided Tour (MAA Textbooks) https://www.amazon.com/dp/0883857626/ref=cm_sw_r_cp_api_ZCKzxb7XY8RJS), and [this one](A Walk through Combinatorics: An Introduction to Enumeration and Graph Theory (Third Edition) https://www.amazon.com/dp/9814460001/ref=cm_sw_r_cp_api_pDKzxbR3CYQGF)
For compsci you need to study tons and tons and tons of discrete math. That means you don't need much of analysis business(too continuous). Instead you want to study combinatorics, graph theory, number theory, abstract algebra and the like.
Intro to math language(several of several million existing books on the topic). You want to study several books because what's overlooked by one author will be covered by another:
Discrete Mathematics with Applications by Susanna Epp
Mathematical Proofs: A Transition to Advanced Mathematics by Gary Chartrand, Albert D. Polimeni, Ping Zhang
Learning to Reason: An Introduction to Logic, Sets, and Relations by Nancy Rodgers
Numbers and Proofs by Allenby
Mathematics: A Discrete Introduction by Edward Scheinerman
How to Prove It: A Structured Approach by Daniel Velleman
Theorems, Corollaries, Lemmas, and Methods of Proof by Richard Rossi
Some special topics(elementary treatment):
Rings, Fields and Groups: An Introduction to Abstract Algebra by R. B. J. T. Allenby
A Friendly Introduction to Number Theory Joseph Silverman
Elements of Number Theory by John Stillwell
A Primer in Combinatorics by Kheyfits
Counting by Khee Meng Koh
Combinatorics: A Guided Tour by David Mazur
Just a nice bunch of related books great to have read:
generatingfunctionology by Herbert Wilf
The Concrete Tetrahedron: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates by by Manuel Kauers, Peter Paule
A = B by Marko Petkovsek, Herbert S Wilf, Doron Zeilberger
If you wanna do graphics stuff, you wanna do some applied Linear Algebra:
Linear Algebra by Allenby
Linear Algebra Through Geometry by Thomas Banchoff, John Wermer
Linear Algebra by Richard Bronson, Gabriel B. Costa, John T. Saccoman
Best of Luck.
For combinatorics I like this book by David Mazur.
With combinatorics, human language can be a bit of hurdle in the way of your understanding. You should ask your instructor to actually draw the combinatorial situations. Pictures are way more instructive than languages and greatly simplify problems.