Do you Learn Math? Need Assistance? Learning Materials? Explanations and Tools? This Post is Just for You!

If you are learning mathematics it is a matter of fact that you need good books, tools and explanations to understand and to pass the tests. As a math student by myself I am sharing with you my personal experience by category, explore them and I hope you will find all you ever needed!

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Useful Tools:

1. Wolfram Alpha - Wolfram Alpha computational engine is a great tool to compute and solve a lot of things: integrals, equations, sums, graphs, PDE, ODE etc. All you need is to write your problem and WA will compute it to you showing you step by step solution most times.
2. For Russian speaker students/lecturers there is the Nigma site that is almost similar to the WA site, including science information, problem solving tutorial and a lot of useful explanation.
3. Video Lectures by MIT - Well explained, video lectures where you can understand almost every topic, here are some of them for example, others include exams, lecture notes and solutions:
• Single Variable Calculus
• Multivariable Calculus
• Linear Algebra
4. Video Lectures by Berkeley

• Note: On both (1) and (2) sites you can find a lot of other info on various topics, including history, physics and other information you need.

Basics:

1. Mathematical Handbook of Formulas and Tables, 3rd (Schaum's Outline Series) by: Murray Spiegel, Seymour Lipschutz, John Liu

Calculus:

1. Calculus – A Complete Course By Robert R. Adams
2. Advanced Calculus of Several Variables By C.H. Edwards
3. Calculus of Several Variables (Addison-Wesley series in mathematics) by: Serge Lang
4. Calculus Late Transcendentals Single Variable 9th Ed. by: Howard Anton, Irl C. Bivens, Stephen Davis (2 parts).
5. Student Solutions Manual Set for Calculus Early Transcendentals Single Variable 8th Edition by: Howard Anton
6. Calculus Early Transcendentals Combined by: Howard Anton, Irl C. Bivens, Stephen Davis

Real Analysis:
Well explained, including examples and solved problems, proofs and easy reading trilogy:

1. Real Analysis (3rd Edition) by: Halsey Royden
2. Real and complex analysis by: Walter Rudin
3. Real Analysis: Modern Techniques and Their Applications, 2nd Edition (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) by: Gerald B. Folland

Linear Programming/Operation Research:
If you learn or research OR you should have some useful tools in your "pocket" and I mean by this that you need Simplex Algorithm Calculator, Simplex Method Well Explained and a couple of books.
Here I will present to you some good books and tools that maybe very useful on your everyday learning or research including examples and calculator:
Operation Research Site - Easy and clear explanation of the Simplex Method - including the special cases, Operation Research Theory and step by step operations explained, friendly interface including simplex algorithm:

Theory:

1. Modeling Problems
2. Simplex Method
3. Two-Phase Simplex Method
4. Graphical Method

Examples:

1. Modeling Problems
2. Simplex Method
3. Graphical Method

Simplex Calculator:

1. Simplex Calculator

Some good books to study in depth the Operation Research Theory including applications:

1. Linear Programming with MATLAB (MPS-SIAM Series on Optimization) by: Michael C. Ferris, Olvi L. Mangasarian, Stephen J. Wright
2. Linear Programming and its Applications by: H.A. Eiselt, C.-L. Sandblom

Linear Algebra:

1. Schaum's Outline of Theory and Problems of Linear Algebra by: Seymour Lipschutz, Marc Lipson
2. Schaum's Outline of Matrix Operations (Schaum's Outlines) by: Richard Bronson
3. Elementary Linear Algebra with Applications 9th edition by: Howard Anton, Chris Rorres
4. Elementary Linear Algebra with Applications, Student Solutions Manual, 9th edition by: Howard Anton, Chris Rorres

Abstract Algebra:
Introduction to Abstract Algebra:

1. Abstract Algebra - 3rd Edition by: David S. Dummit, Richard M. Foote
2. Basic Abstract Algebra : For Graduate Students and Advanced Undergraduates by: Robert B. Ash
3. Schaum's Outline of Abstract Algebra, Second Edition by: Lloyd R Jaisingh & Frank Ayres
4. Basic Abstract Algebra by: P. B. Bhattacharya, S. K. Jain, S. R. Nagpaul
5. Algebra: Groups, Rings, and Fields by: Louis Halle Rowen
6. Lectures in Abstract Algebra I: Basic Concepts by: N. Jacobson
7. Lectures in Abstract Algebra II: Linear Algebra by: N. Jacobson
8. Lectures in Abstract Algebra III: The Theory of Fields and Galois Theory by: N. Jacobson
9. A First Course in Abstract Algebra, Seventh Edition by: John B. Fraleigh
10. A First Course in Abstract Algebra (Instructor’s Solutions Manual) by: John B. Fraleigh

Applications of Abstract Algebra: 

1. Abstract Algebra with Applications (Monographs and Textbooks in Pure and Applied Mathematics) by:  Karlheinz Spindler
2. Abstract Algebra: Theory and Applications (The Prindle, Weber & Schmidt Series in Advanced Mathematics)by: Thomas W. Judson
3. Applications of Abstract Algebra with MAPLE by: Richard E. Klima

Cryptography:

1. Cryptography: Theory and Practice, Third Edition (Discrete Mathematics and Its Applications) by: Douglas R. Stinson