Street Fighting Mathematics
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Street Fighting Mathematics
Author | : Sanjoy Mahajan |
Publsiher | : MIT Press |
Total Pages | : 152 |
Release | : 2010-03-05 |
Genre | : Education |
ISBN | : 9780262265591 |
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An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
The Millennium Prize Problems
Author | : James A. Carlson,Arthur Jaffe,Andrew Wiles,Clay Mathematics Institute,American Mathematical Society |
Publsiher | : American Mathematical Soc. |
Total Pages | : 192 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 082183679X |
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"On May 24, 2000, at a meeting at the Collège de France, the Clay Mathematics Institute announced the creation of a US$7 million prize fund for the solution of seven important classic problems that have resisted solution. The prize fund is divided equally among the seven problems. There is no time limit for their solution. The Millennium Prize problems gives the official description of each of the seven problems and the rules governing the prizes"--Information screen.
Guesstimation 2 0
Author | : Lawrence Weinstein |
Publsiher | : Princeton University Press |
Total Pages | : 384 |
Release | : 2012-09-30 |
Genre | : Business & Economics |
ISBN | : 9780691150802 |
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Simple and effective techniques for quickly estimating virtually anything Guesstimation 2.0 reveals the simple and effective techniques needed to estimate virtually anything—quickly—and illustrates them using an eclectic array of problems. A stimulating follow-up to Guesstimation, this is the must-have book for anyone preparing for a job interview in technology or finance, where more and more leading businesses test applicants using estimation questions just like these. The ability to guesstimate on your feet is an essential skill to have in today's world, whether you're trying to distinguish between a billion-dollar subsidy and a trillion-dollar stimulus, a megawatt wind turbine and a gigawatt nuclear plant, or parts-per-million and parts-per-billion contaminants. Lawrence Weinstein begins with a concise tutorial on how to solve these kinds of order of magnitude problems, and then invites readers to have a go themselves. The book features dozens of problems along with helpful hints and easy-to-understand solutions. It also includes appendixes containing useful formulas and more. Guesstimation 2.0 shows how to estimate everything from how closely you can orbit a neutron star without being pulled apart by gravity, to the fuel used to transport your food from the farm to the store, to the total length of all toilet paper used in the United States. It also enables readers to answer, once and for all, the most asked environmental question of our day: paper or plastic?
Mathematics Of Life
Author | : Ian Stewart |
Publsiher | : Profile Books |
Total Pages | : 335 |
Release | : 2011-04-07 |
Genre | : Mathematics |
ISBN | : 9781847653505 |
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A new partnership of biologists and mathematicians is picking apart the hidden complexity of animals and plants to throw fresh light on the behaviour of entire organisms, how they interact and how changes in biological diversity affect the planet's ecological balance. Mathematics offers new and sometimes startling perspectives on evolution and how patterns of inheritance and population work out over time-scales ranging from millions to hundreds of years - as well as what's going on to change us right now. Ian Stewart, in characteristically clear and entertaining fashion, explores these and a whole range of pertinent issues, including how far genes control behaviour and the nature of life itself. He shows how far mathematicians and biologists are succeeding in tackling some of the most difficult scientific problems the human race has ever confronted and where their research is currently taking us.
Mathematics Under the Microscope
Author | : Alexandre Borovik |
Publsiher | : American Mathematical Soc. |
Total Pages | : 317 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 9780821847619 |
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The author's goal is to start a dialogue between mathematicians and cognitive scientists. He discusses, from a working mathematician's point of view, the mystery of mathematical intuition: why are certain mathematical concepts more intuitive than others? To what extent does the ``small scale'' structure of mathematical concepts and algorithms reflect the workings of the human brain? What are the ``elementary particles'' of mathematics that build up the mathematical universe? The book is saturated with amusing examples from a wide range of disciplines--from turbulence to error-correcting codes to logic--as well as with just puzzles and brainteasers. Despite the very serious subject matter, the author's approach is lighthearted and entertaining. This is an unusual and unusually fascinating book. Readers who never thought about mathematics after their school years will be amazed to discover how many habits of mind, ideas, and even material objects that are inherently mathematical serve as building blocks of our civilization and everyday life. A professional mathematician, reluctantly breaking the daily routine, or pondering on some resisting problem, will open this book and enjoy a sudden return to his or her young days when mathematics was fresh, exciting, and holding all promises. And do not take the word ``microscope'' in the title too literally: in fact, the author looks around, in time and space, focusing in turn on a tremendous variety of motives, from mathematical ``memes'' (genes of culture) to an unusual life of a Hollywood star. --Yuri I. Manin, Max-Planck Institute of Mathematics, Bonn, and Northwestern University
REMEDIAL MATHEMATICS
Author | : BATHUL, SHAHNAZ |
Publsiher | : PHI Learning Pvt. Ltd. |
Total Pages | : 376 |
Release | : 2015-04-01 |
Genre | : Mathematics |
ISBN | : 9788120350991 |
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Primarily intended to serve as a textbook for undergraduate students of pharmacy, this new edition deals with the basic concepts of mathematics. The primary objective of this text is to solidify the mathematical skills of even those students who do not have any mathematical background. The text discusses progressions, binomial theorem, trigonometric functions, matrices and determinants, Cramer's rule, differentiations, integrations, differential equations and their applications in an easy-to-understand style that creates interest in the subject. The text is supported by a number of solved and unsolved examples to enhance the problem-solving skills of the students. Besides, various universities' examination questions and quiz are also provided with answers. KEY FEATURES Simple and clear explanation of the concepts. Multiple choice questions and exercise problems at the end of each chapter. Numerous worked-out problems.
Great Feuds in Mathematics
Author | : Hal Hellman |
Publsiher | : Turner Publishing Company |
Total Pages | : 292 |
Release | : 2010-12-17 |
Genre | : Mathematics |
ISBN | : 9781118040119 |
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Praise for Hal Hellman Great Feuds in Mathematics "Those who think that mathematicians are cold, mechanical proving machines will do well to read Hellman's book on conflicts in mathematics. The main characters are as excitable and touchy as the next man. But Hellman's stories also show how scientific fights bring out sharper formulations and better arguments." -Professor Dirk van Dalen, Philosophy Department, Utrecht University Great Feuds in Technology "There's nothing like a good feud to grab your attention. And when it comes to describing the battle, Hal Hellman is a master." -New Scientist Great Feuds in Science "Unusual insight into the development of science . . . I was excited by this book and enthusiastically recommend it to general as well as scientific audiences." -American Scientist "Hellman has assembled a series of entertaining tales . . . many fine examples of heady invective without parallel in our time." -Nature Great Feuds in Medicine "This engaging book documents [the] reactions in ten of the most heated controversies and rivalries in medical history. . . . The disputes detailed are . . . fascinating. . . . It is delicious stuff here." -The New York Times "Stimulating." -Journal of the American Medical Association
The Essence of Mathematics Through Elementary Problems
Author | : Alexandre Borovik,Tony Gardiner |
Publsiher | : Unknown |
Total Pages | : 398 |
Release | : 2019-06-11 |
Genre | : Mathematics |
ISBN | : 1783746998 |
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