Secondary school Maths Book Series

Danica McKellar Maths books	DeMYSTiFieD Maths Series	Teach Yourself Maths Series	For Dummies Maths Series	Life of Fred Maths Series	The Art of Problem Solving
Math Doesn’t Suck: How to Survive Middle School Math without Losing Your Mind or Breaking a Nail.		Mathematics: A Complete Introduction: Teach Yourself by Hugh Neill	Basic Maths For Dummies (UK Edition) by Colin Beveridge	Life of Fred: Fractions & Life of Fred: Decimals and Percents
Kiss My Math: Showing Pre-Algebra Who’s Boss.	Pre-Algebra DeMYSTiFieD by Allan G. Bluman		Basic Math & Pre-algebra For Dummies(R) by Mark Zegarelli	Life of Fred: Pre-Algebra 0 Physics, Life of Fred: Pre-Algebra 1 with Biology & Life of Fred: Pre-Algebra 2 with Economics	Pre algebra by Richard Rusczyk, David Patrick, Ravi Boppana
Hot X: Algebra Exposed.	Algebra DeMYSTiFieD by Rhonda Huettenmueller	Algebra: A Complete Introduction: Teach Yourself by Hugh Neill	Algebra I For Dummies by Mary Jane Sterling & Algebra II For Dummies Mary Jane Sterling	Life of Fred: Beginning Algebra & Life of Fred: Advanced Algebra	Algebra by Richard Rusczyk & Intermediate Algebra by Richard Rusczyk and Mathew Crawford
Girls Get Curves: Geometry Takes Shape.	Geometry DeMYSTiFieD by Stan Gibilisco	Geometry: A Complete Introduction: Teach Yourself by Hugh Neill	Geometry For Dummies by Mark Ryan	Life of Fred: Geometry	Introduction to Geometry by Richard Rusczyk
	Trigonometry Demystified by Stan Gibilisco	Trigonometry: A Complete Introduction: Teach Yourself by Hugh Neill	Trigonometry For Dummies(R) by Mary Jane Sterling	Life of Fred: Trigonometry
			Pre-Calculus For Dummies by PhD Yang Kuang		Precalculus by Richard Rusczyk
	Calculus Demystified by Rhonda Huettenmueller	Calculus: A Complete Introduction: Teach Yourself by Hugh Neill	Calculus For Dummies by Mark Ryan	Life of Fred: Calculus	Calculus by David Patrick

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English Literature Reading List

Wuthering Heights Emily Bronte
Sense and Sensibility Jane Austen
Cold Comfort Farm Stella Gibbons
Gulliver’s Travels Jonathon Swift
Jane Eyre Charlotte Bronte
Tess of the D’Urbervilles Thomas Hardy
Far from the Madding Crowd Thomas Hardy
A Picture of Dorian Gray Oscar Wilde
Silas Marner George Eliot
Frankenstein Mary Shelley
1984 George Orwell
Brave New World Aldous Huxley
Of Mice and Men John Steinbeck
The Grapes of Wrath John Steinbeck
The Outsider Albert Camus
The Kite Runner Khaled Hosseini
1000 Splendid Suns Khaled Hosseini
The Book Thief Marcus Zusak
Norwegian Wood Haruki Murakami
Enduring Love Ian McEwan
Atonement Ian McEwan
Catcher in the Rye J D Sallinger
Brighton Rock Graham Greene
Never Let Me Go Kazuo Ishiguro
Remains of the Day Kazuo Ishiguro
Falling Man Don DeLillo
Spies Michael Frayn
The Road Cormac McCarthy
Black Swan Green David Mitchell
If Nobody Speaks of Remarkable Things Jon McGregor To Kill a Mockingbird Harper Lee
White Teeth Zadie Smith
Wild Swans Jung Chang
Engleby Sebastian Faulks
Memoirs of a Geisha Arthur Golden
The Time Machine H G Wells
Sophie’s World Jostein Gaarder
Lovely Bones Alice Sebold
Purple Hibiscus – Chimamanda Ngozi Adichie

For a slightly lighter read…
Mister Pip – Lloyd Jones
Martyn Pyg – Kevin Brooks
The Woman in Black – Susan Hill
The King of the Castle – Susan Hill
Lord of the Flies – William Golding
The Hitchhiker’s Guide to the Galaxy – Douglas Adams His Dark Materials Trilogy – Phillip Pullman
Angela’s Ashes – Frank McCourt
Of Mice and Men – John Steinbeck
The Hound of the Baskervilles – Arthur Conan Doyle The Spy Who Came In From The Cold – John Le Carre Tales of The Otori (trilogy) – Lian Hearn
The Colour of Magic – Terry Pratchett
Slumdog Millionaire – Vikas Swarup
Fever Pitch – Nick Hornby

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Computer Science Readings

http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-042j-mathematics-for-computer-science-fall-2010/readings/MIT6_042JF10_notes.pdf

http://www.saylor.org/majors/computer-science/
https://www.cybrary.it/
http://opensecuritytraining.info/Welcome.html

Linear algebra
Discrete mathematics

The C Programming Language Book by Brian Kernighan and Dennis Ritchie

Concrete Mathematics: Foundation for Computer Science by Ronald L. Graham, Donald E. Knuth and Oren Patashnik

Introduction to Algorithms Book by Charles E. Leiserson, Clifford Stein, Ronald Rivest, and Thomas H. Cormen

Art of Computer Programming, Volumes 1-4A Boxed Set, The By Donald E. Knuth

Learning Resources for everyone

http://studygs.net
http://skillsyouneed.com

http://questioning.org/Q7/toolkit.html
http://socialresearchmethods.net/kb/index.php

http://thereasoner.org
http://kent.ac.uk/secl/researchcentres/reasoning/TheReasoner/contents.html

http://practicalmoneyskills.com
http://goodworkcommission.co.uk/Reports

http://brainpickings.org
http://theconversation.com/uk
http://tetw.org
http://edge.org
http://aeon.co

 

http://www.feynmanlectures.info

http://reddit.com
http://stackexchange.com
http://ask.metafilter.com
https://physicsforums.com
http://forums.welltrainedmind.com
https://quora.com

http://rationalwiki.org
http://lesswrong.com

http://www.linuxquestions.org
http://www.ubuntuforums.org
http://www.tomshardware.co.uk
http://www.tomsguide.com
http://www.techsupportforum.com
http://www.whirlpool.net.au
http://www.sevenforums.com
http://www.eightforums.com
http://www.tenforums.com

Mathematic Readings

Algebra:
Algebra by I. Gelfand
Functions and graphs by I. Gelfand
The method of coordinates by I. Gelfand

Geometry:
Geometry: A High School Course by Serge Lang
Kiselev’s Geometry / Book I. Planimetry by A. P. Kiselev & Alexander Givental
Kiselev’s Geometry / Book II. Stereometry by A. P. Kiselev & Alexander Givental
Introduction to Geometry by H. S. M. Coxeter
Geometry Revisted by H.S.M. Coexter

Trigonometry:
Trigonometry by I.M. Gelfand

Pre-calculus:
Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry by George F. Simmons

Calculus:
A First Course in Calculus by Serge Lang
Calculus and Analytic Geometry” by George Simmons

The Calculus Lifesaver: All the Tools You Need to Excel at Calculus by Adrian Banner
Calculus Made Easy by Silvanus P. Thompson

Calculus, Vol. 1 by Tom M. Apostol
Calculus by Michael Spivak
Calculus, Vol. 2 by Tom M. Apostol
Calculus On Manifolds by Michael Spivak

Problem Solving Books in Mathematic:
How to Think Like a Mathematician by Dr Kevin Houston
How to Prove It: A Structured Approach by Daniel J. Velleman
Problem-Solving Through Problems by Loren C Larson
How to Solve it by Polya
An Introduction to Mathematical Reasoning by Peter J Eccels
The Art and Craft of Problem Solving by Paul Zeitz
Problem-Solving Strategies (Problem Books in Mathematics) by Arthur Engel

Mathematical and Logic Puzzles:
The Lady or the Tiger?: and Other Logic Puzzles by Raymond M. Smullyan (age: 8 and up)
Entertaining Mathematical Puzzles by Martin Gardner (age: 10 and up)
My Best Mathematical and Logic Puzzles by Martin Gardner (age: 9 and 12)
Perplexing Puzzles and Tantalizing Teasers by Martin Gardner (age: 12 and up)
Alice in Puzzle-Land: A Carrollian Tale for Children Under Eighty by Raymond M. Smullyan (age: 80 and under)

Challenging Problems in Algebra by Alfred S. Posamentier (high school level)
Challenging Problems in Geometry by Alfred S. Posamentier (high school level)

Mathematical Puzzling by A. Gardiner (high school level)

Mathematical Puzzles: A Connoisseur’s Collection by Peter Winkler (high school, college, graduate level)
The Stanford Mathematics Problem Book: With Hints and Solutions by G. Polya (High school level)

Professor Povey’s Perplexing Problems: Pre-university Physics and Maths Puzzles with Solutions by Thomas Povey (College level)

Other masterpieces:
Alice in Wonderland by Lewis Carroll
Alice through the Looking Glass by Lewis Carroll
Alice Through the Needle’s Eye by Gilbert Adair
The Number Devil: A Mathematical Adventure by Hans Magnus Enzensberger (age: 10 and up)
Flatland by Edwin Abbott
A Mathematician’s Apology by G.H.Hardy
LockhartsLament by Paul Lockhart
The power of mathematics by Conway
Proofs from THE BOOK by Martin Aigner and Gunter Ziegler
Gödel, Escher and Bach: An Eternal Golden Braid by Douglas Hofstadter

Resources:
http://www.artofproblemsolving.com/store
http://math-blog.com/mathematics-books/
https://www.ocf.berkeley.edu/~abhishek/chicmath.htm
http://www.springer.com/series/3423
http://www.springer.com/series/136
http://www.springer.com/series/714
http://store.doverpublications.com/by-subject-mathematics.html

Mathematic Resources

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