How to study mathematics by Paul Dawkins

http://tutorial.math.lamar.edu/pdf/How_To_Study_Math.pdf

http://tutorial.math.lamar.edu/Extras/StudyMath/HowToStudyMath.aspx

Study skills in mathematics

http://www.maths.cam.ac.uk/undergrad/studyskills/text.pdf

Common math error by Paul Dawkins

http://tutorial.math.lamar.edu/pdf/Common_Math_Errors.pdf

http://tutorial.math.lamar.edu/Extras/CommonErrors/CommonMathErrors.aspx

“How to Read Mathematics” by Shai Simonson and Fernando Gouvea http://web.stonehill.edu/compsci//History_Math/math-read.htm

Advice to a Young Mathematician

http://press.princeton.edu/chapters/gowers/gowers_VIII_6.pdf

Stewart, I., “How to Learn Math,” Letters to a Young Mathematician, Basic Books, 2006, pp. 62-70. (AMS Book Review)

This letter is from a wonderful collection of letters from a mathematician to “Meg,” as she progresses from a high school student wondering whether higher levels of math are anything more than “bigger numbers and harder calculations,” to a tenured professor. The letters are unerringly encouraging while explaining myriad aspects of what it’s like to be a mathematician. The letter, “How to Learn Math,” is to Meg when she is a college student and explains what to do to get past sticking points when reading. The author also advises Meg to “read around the subject” to gain a sense of the larger picture within which any subject fits.

https://archive.org/download/LettersToAYoungMathematician/ian_stewartLettersToAYoungMathematician.pdf

Terry Tao’s https://terrytao.wordpress.com/advice-on-writing-papers/

Gerver, R., “Reading and Keeping a Research Journal,” Writing Math Research Papers: A Guide for Students and Instructors Key Curriculum Press, 2004.

This book chapter provides guidance for reading the literature relevant to a research project. Subsections include “Preparing to Read,” “Reading and Taking Notes,” and “Conquering Difficult Concepts.”

How to Develop a Mindset for Math by Kalid Azad:

http://betterexplained.com/articles/how-to-develop-a-mindset-for-math/

Habits of Mind:

http://www.withoutgeometry.com/2010/09/habits-of-mind.html

Collection of math notes

http://www.maths.cam.ac.uk/studentreps/res/notes.html

Paul Dawkins online math notes

http://tutorial.math.lamar.edu/

Paul Dawkins cheet sheets: http://tutorial.math.lamar.edu/cheat_table.aspx

Harold’s Cheat Sheets: http://www.toomey.org/tutor/harolds_cheat_sheets.html

and other cheat sheets at http://cheatsheets.org

Math guy handbook: http://www.mathguy.us/

Colecao Schaum’s (mathematical – formulas and tables)

http://florida.theorangegrove.org/og/file/3a8c652c-11d0-e967-95fb-b5bbae2586d6/1/math_handbook.pdf

Handbook for spoken mathematics Lawrence Cheng PhD

First steps in algebra by George Albert Wentworth

Beginning and intermediate algebra by Tyler wallance

Advanced high school mathematics by David b. Surowski

Fundament Concepts of Algebra

Trigonometric delights Eli Maor

PreCalculus by Carl Stitz and Jeff Zeager

PreCalculus an investigation of functions by David Lippman and Melonie Rasmussen

Funny Little Calculus Text by Robert Christ

How do undergraduates do mathematics? A guide to studying mathematics at Oxford University Charles Batty St. John’s College, Oxford

https://www0.maths.ox.ac.uk/system/files/study-guide/guide.pdf

Preparing for university calculus prepared by apics committee on mathematics and statistics edited by Robert Dawson

http://cs.smu.ca/apics/calculus/CalcPrep1.pdf

Advanced problems in core mathematics by Stephen siklos

http://www.maths.cam.ac.uk/undergrad/admissions/step/advpcm.pdf

Undergraduate Mathematics Reading List

http://www.maths.cam.ac.uk/undergrad/admissions/readinglist.pdf

Introduction to logic by Harry J. Gensler

Mathematical Reasoning writing and proof by Ted Sundstorm

Language proof and logic by Jon Barwise & John Etchemendy

Fundament Concepts of Mathematics

Book of proof by Richard Hammack

Websites:

https://reddit.com/r/math/comments/2mkmk0/a_compilation_of_useful_free_online_math_resources

http://khanacademy.org

http://artofproblemsolving.com

http://learner.org/courses/mathilluminated/

http://world.mathigon.org

http://betterexplained.com

http://www.artofmathematics.org

http://mathpuzzle.com

http://mathworld.wolfram.com

https://reddit.com/r/puremathematics

http://math.stackexchange.com

http://mathoverflow.net

http://mathinsight.org

http://proofwiki.org/wiki/Main_Page

http://encyclopediaofmath.org

https://oeis.org

http://arxiv.org

http://ams.org/notices

http://plus.maths.org