__Note 1__: As mentioned in the Disclaimer,

__I take No Responsibility for Any Action you do on the sites that you will be redirected to by clicking the links__.__Note 2__:

**Presenting Search Results only. If You click somewhere on the search results You take the responsibility for Your Actions.**

__Note 3__: In case you need DJVU Reader to open documents in the DJVU format.

__Note 4__: To easily manage the links you will get, visit the JDownloader Post.

__Useful Tools__:- 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.
__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.- 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:
- Video Lectures by Berkeley

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.__Note__:

__Basics__:

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

- Real Analysis (3rd Edition) by: Halsey Royden
- Real and complex analysis by: Walter Rudin
- 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__:

__Examples__:

__Simplex Calculator__:

__Some good books to study in depth the Operation Research Theory including applications__:

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

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

__Abstract Algebra__:

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

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

__Cryptography__:
Great book on artificial intelligence: http://aima.cs.berkeley.edu/ (see also http://ai-class.org and http://ml-class.org) + information theory/algorithms ML book: http://www.inference.phy.cam.ac.uk/mackay/itila/

ReplyDeleteFundamentals of 3D computer vision: http://www.robots.ox.ac.uk/~vgg/hzbook/

Book on robot mapping (sorry, seems to be paid version only): http://www.springerlink.com/content/978-3-540-89883-2