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Hi, I notice that there are many self-study students here on PF so I thought it'd be a good idea to make a quick reference of great books. Please add on as I'm currently only at the precalculus level. These books should assume relatively little to no prerequisite knowledge, explain concepts clearly and concisely and they should have many exercises to work with (and or a few worked out solutions).

General:

How to Solve it by G.Polya

How to Read and Do Proofs by Daniel Solow

Elementary Algebra:

Algebra Success in 20 Minutes or Less

Practical Algebra: A Self-Teaching Guide, 2nd Edition by Peter H. Selby

Elementary Algebra by Harold Jacobs

Geometry:

Geometry 2/e by Harold Jacobs

Geometry the Easy Way by Lawrence S. Leff

Precalculus:

Algebra and Trigonometry by Michael Sullivan

Algebra and Trigonometry, Right Triangle (2nd Edition) Marvin L. Bittinger

Cliffs QuickReview: Precalculus

College Algebra by Michael Sullivan

What Is Mathematics?: An Elementary Approach to Ideas and Methods

by Richard Courant

Linear Algebra:

Linear Algebra Done Right 2/e by Axler

Calculus:

Calculus Made Easy by Silvanus P. Thompson

Calculus by Spivak

Math Software & Apps:

Maplesoft Maple 11

General:

How to Solve it by G.Polya

How to Read and Do Proofs by Daniel Solow

Elementary Algebra:

Algebra Success in 20 Minutes or Less

Practical Algebra: A Self-Teaching Guide, 2nd Edition by Peter H. Selby

Elementary Algebra by Harold Jacobs

Geometry:

Geometry 2/e by Harold Jacobs

Geometry the Easy Way by Lawrence S. Leff

Precalculus:

Algebra and Trigonometry by Michael Sullivan

Algebra and Trigonometry, Right Triangle (2nd Edition) Marvin L. Bittinger

Cliffs QuickReview: Precalculus

College Algebra by Michael Sullivan

What Is Mathematics?: An Elementary Approach to Ideas and Methods

by Richard Courant

Linear Algebra:

Linear Algebra Done Right 2/e by Axler

Calculus:

Calculus Made Easy by Silvanus P. Thompson

Calculus by Spivak

Math Software & Apps:

Maplesoft Maple 11

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