Introduction to Mathematical Thinking By Keith Devlin

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Rating: 9.1 (9869 reviews)
Author: Keith Devlin

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Audio Book Introduction to Mathematical Thinking with Free MOBI EDITION Download Now!

In the twenty-first century, everyone can benefit from being able to think mathematically. This is not the same as “doing math.” The latter usually involves the application of formulas, procedures, and symbolic manipulations; mathematical thinking is a powerful way of thinking about things in the world -- logically, analytically, quantitatively, and with precision. It is not a natural way of thinking, but it can be learned. Mathematicians, scientists, and engineers need to “do math,” and it takes many years of college-level education to learn all that is required. Mathematical thinking is valuable to everyone, and can be mastered in about six weeks by anyone who has completed high school mathematics. Mathematical thinking does not have to be about mathematics at all, but parts of mathematics provide the ideal target domain to learn how to think that way, and that is the approach taken by this short but valuable book. The book is written primarily for first and second year students of science, technology, engineering, and mathematics (STEM) at colleges and universities, and for high school students intending to study a STEM subject at university. Many students encounter difficulty going from high school math to college-level mathematics. Even if they did well at math in school, most are knocked off course for a while by the shift in emphasis, from the K-12 focus on mastering procedures to the “mathematical thinking” characteristic of much university mathematics. Though the majority survive the transition, many do not. To help them make the shift, colleges and universities often have a “transition course.” This book could serve as a textbook or a supplementary source for such a course. Because of the widespread applicability of mathematical thinking, however, the book has been kept short and written in an engaging style, to make it accessible to anyone who seeks to extend and improve their analytic thinking skills. Going beyond a basic grasp of analytic thinking that everyone can benefit from, the STEM student who truly masters mathematical thinking will find that college-level mathematics goes from being confusing, frustrating, and at times seemingly impossible, to making sense and being hard but doable. Dr. Keith Devlin is a professional mathematician at Stanford University and the author of 31 previous books and over 80 research papers. His books have earned him many awards, including the Pythagoras Prize, the Carl Sagan Award, and the Joint Policy Board for Mathematics Communications Award. He is known to millions of NPR listeners as “the Math Guy” on Weekend Edition with Scott Simon. He writes a popular monthly blog “Devlin’s Angle” for the Mathematical Association of America, another blog under the name “profkeithdevlin”, and also blogs on various topics for the Huffington Post.

At this time of writing, The Mobi Introduction to Mathematical Thinking has garnered 8 customer reviews with rating of 5 out of 5 stars. Not a bad score at all as if you round it off, it’s actually a perfect TEN already. From the looks of that rating, we can say the Mobi is Good TO READ!

Audio Book Introduction to Mathematical Thinking with Free MOBI EDITION!

This is a great book for filling the gap that we face in making a transition from grade school to more advanced, college-level math. It is very short, and so can be read and studied as a supplement for other math-related studies. It is basically about the important shift in perspective from using math as a calculational tool to understanding and communicating math to others. This transition mainly requires some knowledge and skill at proofs, and a basic appreciation of why this "grammar" (which is not an area that normally impedes us much in understanding or communicating in a spoken language like English) becomes so important in math. Professor Devlin addresses this ably, and evinces in this short book, his immense insight into teaching math. He accomplishes a lot in this short book, and I think it is extremely important to learn the types of basic concepts and methods he discusses at the earliest possible age at which a student can appreciate this. Although a short work, his book contains numerous exercises, and it would be wise for the beginning student to at least attempt many. Proofs, and an appreciation of the value and significance of "pure" mathematics are extremely important in progress in many fields of science, math and engineering. Because he is very precisely addressing one of the most serious problems in making a transition to advanced math, and in a very lucid, intelligent way, I can strongly recommend this book. Many people want to use math only intuitively and/or as a tool, but to progress in math, we must absolutely confront the extreme importance of rigorous mathematics, and understanding math adequately. Of course, there is a vast difference between the basic skills, of, for example, proving relatively simple theorems, and coming up with proofs, which amounts to a skill that is not uncommonly associated with the highest levels of art, ingenuity, insight, and, not infrequently, genius. But, climbing that hill is one far beyond the scope of what Prof. Devlin is trying to communicate in his book. While a really great book, it is probably best to accompany studying it with some assistance from a tutor or a teacher.Here is a bit of perspective on exploration and adventure in math, and the world Professor Devlin is trying to help us, as far as opening our minds: As a teacher, I have been working at my own study in math. I finally got a hand calculation I was working on for what I am studying with Lagrangians (with respect to calculus of variations and the theory of PDEs) to work out. I have to say that there are the moments of fun, when one does something really nice or gets to use some really nice software (like the stuff that the number theory enthusiasts use to detect Mersenne primes for calibrating supercomputers and for cryptography), but hand calculations are not always so much fun. Furthermore, in order to learn physics and math, and have an understanding of what the abstractions mean, you have to make some contact with calculations, with experiments, and do some hard work. It's not just a matter of reading about cool theory. We all like the adventure and the great exploration that math and physics and engineering represent (and really, that is at the heart of what our species is about and what makes us humans a little different from other organisms), but there is always the price of hard work that has to be paid. We can't always let others pay that price, or expect AI or computers to make it easy, if we want to understand and progress. You can spare yourself a lot of time and effort if you are extremely clever, or a genius like Feynman or Villani, that's for sure. But I think the adventure of physics and math is for all of us, not just the extremely clever or the geniuses.

Audio Book Introduction to Mathematical Thinking with Free MOBI EDITION Download Now!

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Audio Book Introduction to Mathematical Thinking with Free MOBI EDITION Download Now!

Audio Book Introduction to Mathematical Thinking with Free MOBI EDITION!

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Audio Book Introduction to Mathematical Thinking with Free MOBI EDITION Download Now!

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Audio Book Introduction to Mathematical Thinking with Free MOBI EDITION Download Now!

Audio Book Introduction to Mathematical Thinking with Free MOBI EDITION!

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