Sergei Treil, Linear Algebra Done Wrong.Īnother aspect of disciplinary knowledge identified by Bruner is basic principles. Halmos, Finite- Dimensional Vector Spaces.

Linear Algebra is also a possible choice, and I suggest (in order of difficulty): Friedberg, Linear Algebra. Do not turn to Stewart or Thomas unless you only care about exam. Download as Microsoft Word: Download as PDF: Download as.ĭo not rush. ALLENDOERFER AND OAKLEY, Principles of Mathematics, Ch.

ALLENDOUFER AND OAKLEY, Principles of Mathematics, Ch.

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We all have what it takes to excel in areas that don’t seem to come naturally to us at first, and learning them does not have to be as painful as we might think.Recommended Math books as preparation for bachelor in math? Courant & John, Introduction to Calculus and Analysis Vol.

The learning strategies in this book apply not only to math and science, but to any subject in which we struggle. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions you just need the creativity to see them. Contrary to popular belief, math requires creative, as well as analytical, thinking. Oakley lets us in on the secrets to learning effectively secrets that even dedicated and successful students wish they’d known earlier. When she saw how her lack of mathematical and technical savvy severely limited her options both to rise in the military and to explore other careers she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation.

Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a new skill set, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating material. A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra) is mathematics book by Barbara Oakley, published in 2014.

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