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Recommend Guesstimation by Weinstein and Adams as the first topic to master. Getting comfortable with numbers and their sizes will make everything else easier.
by jostylr 9y ago
Recommend Guesstimation by Weinstein and Adams as the first topic to master. Getting comfortable with numbers and their sizes will make everything else easier. Also, getting in the habit of doing rough explorations is an essential skill in exploring all later material.
Technical Mathematics with Calculus by Calter is a single volume that covers stuff up through calculus in a, well, technical manner.
For a more understanding way, try Elements of Mathematics by Stillwell.
If you get past Calculus, I recommend Vector Calculus, Linear Algebra, and Differential Forms by Hubbard. It gives an amazingly clear viewpoint on the higher level analysis and algebra topics, both numerically and abstractly.
For statistics, you might try something like Think Stats by Downey which emphasizes explorations with Python, real data, and Bayesian statistics.
As a faithful companion in your journey, use something like GeoGebra or Desmos to really explore the visual side of all the topics. Computers can do the tedious computations. Your task is to learn why we are doing this and how it is being done. When you get to calculus, learn what Newton's method is doing and appreciate how amazing it is.