# PDF The Mathematical Mechanic Using Physical Reasoning to Solve Problems Author Mark Levi – dugisits.co.za

- Hardcover
- 200
- The Mathematical Mechanic Using Physical Reasoning to Solve Problems
- Mark Levi
- English
- 03 February 2020
- 9780691140209

FREE DOWNLOAD The Mathematical Mechanic Using Physical Reasoning to Solve Problems FREE DOWNLOAD × The Mathematical Mechanic Using Physical Reasoning to Solve Problems Mark Levi ´ 1 FREE DOWNLOAD Can simplify proofs and lead to uicker solutions and new theorems and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can Did you know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water Or that soap film holds the key to determining the cheapest container for a given volume Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs Levi demonstrates how to use. The concept is great to solve math problems or proof theorems using physical reasoning And some examples using mechanics are really good Science centres use some of the examples too However some so called physical examples are made to fit the theorem The author might have covered this point in the introduction but I just don t like doing things just for doing them One such example is on Page 111 computing integral of sintdt from 0 to x with a pendulum Any one knowing what these symbols mean should be able calculate this in less than 30 seconds if they are fluent otherwise I don t think they would botherSome examples are never intuitive to me or rather they might sound intuitive but really rigorous mathematical proofs before I would admit it One such example is on Page 78 and the author does address my comments hereThis book was recommended or referenced by one of youtube channels or the blogs I follow and subscribe including but limited to ASAP Science CGP Grey MinuteEarth minutephysics SmarterEveryDay Veritasium Vsauce WonderWhy Matrix67blogThis one was probably referenced by Veritasium A Negotiated Marriage know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water Or that soap film holds the Twerking Cruxes and a Cloaked Visage key to determining the cheapest container for a given volume Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs Levi demonstrates how to use. The concept is great to solve math problems or proof theorems using physical reasoning And some examples using mechanics are really good Science centres use some of the examples too However some so called physical examples are made to fit the theorem The author might have covered this point in the introduction but I just don t like doing things just for doing them One such example is on Page 111 computing integral of sintdt from 0 to x with a pendulum Any one Something New knowing what these symbols mean should be able calculate this in less than 30 seconds if they are fluent otherwise I don t think they would botherSome examples are never intuitive to me or rather they might sound intuitive but really rigorous mathematical proofs before I would admit it One such example is on Page 78 and the author does address my comments hereThis book was recommended or referenced by one of youtube channels or the blogs I follow and subscribe including but limited to ASAP Science CGP Grey MinuteEarth minutephysics SmarterEveryDay Veritasium Vsauce WonderWhy Matrix67blogThis one was probably referenced by Veritasium

## CHARACTERS ì DUGISITS.CO.ZA ´ Mark Levi

FREE DOWNLOAD The Mathematical Mechanic Using Physical Reasoning to Solve Problems FREE DOWNLOAD × The Mathematical Mechanic Using Physical Reasoning to Solve Problems Mark Levi ´ 1 FREE DOWNLOAD Everybody knows that mathematics is indispensable to physics imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics Mark Levi shows how in this delightful book treating readers to a host of entertaining problems and mind bending puzzlers that will amuse and inspire their inner physicist Levi turns math and physics upside down revealing how physics. A book full of insights about the interplay of mathematics and physics or precisely about how reasonings based on elementary principles of balances of forces conservation of energy and the like can provide illuminating arguments almost rigorous proofs really of a very large number of mathematical results of very different natures some geometric some algebraic some analytic Some of them are really impressively elegant such as the fish tank proof of the Pythagorean theorem based on the obvious principle that if the water in a tank at rest is not disturbed it shall remain undisturbed pp 9 11 the proof of the theorem on the polygon of least area circumscribed around a given convex set and its generalizations pp 34 40 the fastest descent problem pp 104 6 or the dual cones theorem and the Gauss Bonnet formula via an ingenious mechanical device A very enjoyable and enlightening book

### FREE DOWNLOAD The Mathematical Mechanic Using Physical Reasoning to Solve Problems

FREE DOWNLOAD The Mathematical Mechanic Using Physical Reasoning to Solve Problems FREE DOWNLOAD × The Mathematical Mechanic Using Physical Reasoning to Solve Problems Mark Levi ´ 1 FREE DOWNLOAD Physical intuition to solve these and other fascinating math problems More than half the problems can be tackled by anyone with precalculus and basic geometry while the challenging problems reuire some calculus This one of a kind book explains physics and math concepts where needed and includes an informative appendix of physical principles The Mathematical Mechanic will appeal to anyone interested in the little known connections between mathematics and physics and how both endeavors relate to the world around u. A delightful tour through various fields of math Levi develops intuitive explanations for mathematical concepts by performing thought experiements The theme that draws the book together is that the experiments rely on the reader s familiarity with real world objects such as springs and fish tanks The book does not focus on generalizable problem solving techniues so it wasn t especially helpful to me for use in class But I found it fun that you can use a fishtank to demonstrate the Pythagorean theorem Les cactées et succulentes (DECOUVRIR ET REUSSIR (JARDIN)) kind book explains physics and math concepts where needed and includes an informative appendix of physical principles The Mathematical Mechanic will appeal to anyone interested in the little The Feather Thief: Beauty, Obsession, and the Natural History Heist of the Century known connections between mathematics and physics and how both endeavors relate to the world around u. A delightful tour through various fields of math Levi develops intuitive explanations for mathematical concepts by performing thought experiements The theme that draws the book together is that the experiments rely on the reader s familiarity with real world objects such as springs and fish tanks The book does not focus on generalizable problem solving techniues so it wasn t especially helpful to me for use in class But I found it fun that you can use a fishtank to demonstrate the Pythagorean theorem