Synopses & Reviews
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.
Review
"All students and teachers of mathematics and science, whatever their level, will find a wealth of fun and practical tools in this fantastic book." David MacKay, Fellow of the Royal Society, Professor of Natural Philosophy, Cavendish Laboratory, University of Cambridge, Chief Scientific Advisor, UK Department of Energy and Climate Change The MIT Press
Review
Sanjoy Mahajan studied mathematics at the University of Oxford and received a PhD in theoretical physics at the California Institute of Technology. He is now Associate Director of the Teaching and Learning Laboratory and a Lecturer in the Department of Electrical Engineering and Computer Science at MIT. Before coming to MIT, he was a Fellow of Corpus Christi College, Cambridge, and a Lecturer in Physics in the University of Cambridge.
"'Too much mathematical rigor teaches rigor mortis.' This is Sanjoy Mahajan's way of saying 'failure to make timely approximations leads to algebraic paralysis.' Approximations are essential in the design process, and his book legitimizes, accelerates, and extends the methods that students eventually have to learn on their own anyway."--R. David Middlebrook, Professor Emeritus of Electrical Engineering, California Institute of Technology --David Middlebrook
Review
Many everyday problems require quick, approximate answers. Street-Fighting Mathematics teaches a crucial skill that the traditional science curriculum fails to develop: how to obtain order of magnitude estimates for a broad variety of problems. This book will be invaluable to anyone wishing to become a better informed professional. The MIT Press
Review
Street-Fighting Mathematics taught me things I wish I'd learned years ago. It's fun, fast, and smart. Master it and you'll be dangerous. < b=""> David MacKay <> , Fellow of the Royal Society, Professor of Natural Philosophy, Cavendish Laboratory, University of Cambridge, Chief Scientific Advisor, UK Department of Energy and Climate Change
Review
andlt;Pandgt;andquot;Many everyday problems require quick, approximate answers. Street-Fighting Mathematics teaches a crucial skill that the traditional science curriculum fails to develop: how to obtain order of magnitude estimates for a broad variety of problems. This book will be invaluable to anyone wishing to become a better informed professional.andquot;--andlt;Bandgt;Eric Mazurandlt;/Bandgt;, Balkanski Professor of Physics and of Applied Physics, Harvard Universityandlt;/Pandgt; The MIT Press The MIT Press The MIT Press
Review
andlt;Pandgt;"All students and teachers of mathematics and science, whatever their level, will find a wealth of fun and practical tools in this fantastic book." andlt;Bandgt;David MacKayandlt;/Bandgt;, Fellow of the Royal Society, Professor of Natural Philosophy, Cavendish Laboratory, University of Cambridge, Chief Scientific Advisor, UK Department of Energy and Climate Changeandlt;/Pandgt; The MIT Press
Review
andlt;Pandgt;"Street-Fighting Mathematics taught me things I wish I'd learned years ago. It's fun, fast, and smart. Master it and you'll be dangerous." andlt;Bandgt;Steven Strogatzandlt;/Bandgt;, Cornell University, author of andlt;Iandgt;The Calculus of Friendshipandlt;/Iandgt;andlt;/Pandgt;
Review
All students and teachers of mathematics and science, whatever their level, will find a wealth of fun and practical tools in this fantastic book. < b=""> Eric Mazur <> , Balkanski Professor of Physics and of Applied Physics, Harvard University
Review
Street-Fighting Mathematics taught me things I wish I'd learned years ago. It's fun, fast, and smart. Master it and you'll be dangerous. < b=""> David MacKay <> , Fellow of the Royal Society, Professor of Natural Philosophy, Cavendish Laboratory, University of Cambridge, Chief Scientific Advisor, UK Department of Energy and Climate Change
Synopsis
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.
Synopsis
An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation.
Synopsis
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.
Synopsis
andlt;Pandgt;An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation.andlt;/Pandgt;
Synopsis
andlt;Pandgt;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.andlt;/Pandgt;
About the Author
Sanjoy Mahajan is Associate Professor of Applied Science and Engineering at Olin College of Engineering and Visiting Associate Professor of Electrical Engineering and Computer Science at MIT. He was a Marshall Scholar at Oxford University and a Fellow of Corpus Christi College in the University of Cambridge, where he was a member of the physics faculty. He is the author of Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving (MIT Press).Carver A. Mead is the Gordon and Betty Moore Professor of Engineering and Applied Science, Emeritus, at the California Institute of Technology. He won the 1999 Lemelson-MIT Prize for Invention and Innovation.