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You can try "Data Science from Scratch" [0] to get some taste. It uses Python to teach essentials of data science, and ML altorithms. The code quality is very good, and there is an introduction to Statistics, Maths and Python to start.

Then you can continue with improving your maths (Linear Algebra [1], Calculus [2], [3]) and moving on with Statistical Learning [4] [5]. I am personally going now through this plan.

[0] http://shop.oreilly.com/product/0636920033400.do

[1] http://www.amazon.com/Linear-Algebra-Right-Undergraduate-Mat...

[2] http://www.amazon.com/Calculus-4th-Michael-Spivak/dp/0914098...

[3] http://www.amazon.com/Calculus-Manifolds-Approach-Classical-...

[4] http://www-bcf.usc.edu/~gareth/ISL/

[5] http://statweb.stanford.edu/~tibs/ElemStatLearn/




An Introduction to Statistical Learning [0] is also good. It's a little less technical than The Elements of Statistical Learning. We used it for our statistical learning course at my university. The full PDF is available for free as well [1].

[0] http://www-bcf.usc.edu/~gareth/ISL/

[1] http://www-bcf.usc.edu/~gareth/ISL/ISLR%20Fourth%20Printing....




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