Maths on the Back of an Envelope: Clever ways to (roughly) calculate anything

Maths on the Back of an Envelope: Clever ways to (roughly) calculate anything

Author: Rob Eastaway

Publisher: HarperCollins

Published: 2019-09-19

Total Pages: 208

ISBN-13: 000832459X

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‘Another terrific book by Rob Eastaway’ SIMON SINGH ‘A delightfully accessible guide to how to play with numbers’ HANNAH FRY


Book Synopsis Maths on the Back of an Envelope: Clever ways to (roughly) calculate anything by : Rob Eastaway

Download or read book Maths on the Back of an Envelope: Clever ways to (roughly) calculate anything written by Rob Eastaway and published by HarperCollins. This book was released on 2019-09-19 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: ‘Another terrific book by Rob Eastaway’ SIMON SINGH ‘A delightfully accessible guide to how to play with numbers’ HANNAH FRY


Street-Fighting Mathematics

Street-Fighting Mathematics

Author: Sanjoy Mahajan

Publisher: MIT Press

Published: 2010-03-05

Total Pages: 152

ISBN-13: 0262265591

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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.


Book Synopsis Street-Fighting Mathematics by : Sanjoy Mahajan

Download or read book Street-Fighting Mathematics written by Sanjoy Mahajan and published by MIT Press. This book was released on 2010-03-05 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Why Do Buses Come in Threes?

Why Do Buses Come in Threes?

Author: Rob Eastaway

Publisher: Portico

Published: 2014-04-03

Total Pages: 239

ISBN-13: 1909396621

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With a foreword by Tim Rice, this book will change the way you see the world. Why is it better to buy a lottery ticket on a Friday? Why are showers always too hot or too cold? And what's the connection between a rugby player taking a conversion and a tourist trying to get the best photograph of Nelson's Column? These and many other fascinating questions are answered in this entertaining and highly informative book, which is ideal for anyone wanting to remind themselves – or discover for the first time – that maths is relevant to almost everything we do. Dating, cooking, travelling by car, gambling and even life-saving techniques have links with intriguing mathematical problems, as you will find explained here. Whether you have a PhD in astrophysics or haven't touched a maths problem since your school days, this book will give you a fresh understanding of the world around you.


Book Synopsis Why Do Buses Come in Threes? by : Rob Eastaway

Download or read book Why Do Buses Come in Threes? written by Rob Eastaway and published by Portico. This book was released on 2014-04-03 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a foreword by Tim Rice, this book will change the way you see the world. Why is it better to buy a lottery ticket on a Friday? Why are showers always too hot or too cold? And what's the connection between a rugby player taking a conversion and a tourist trying to get the best photograph of Nelson's Column? These and many other fascinating questions are answered in this entertaining and highly informative book, which is ideal for anyone wanting to remind themselves – or discover for the first time – that maths is relevant to almost everything we do. Dating, cooking, travelling by car, gambling and even life-saving techniques have links with intriguing mathematical problems, as you will find explained here. Whether you have a PhD in astrophysics or haven't touched a maths problem since your school days, this book will give you a fresh understanding of the world around you.


How Many Socks Make a Pair?

How Many Socks Make a Pair?

Author: Rob Eastaway

Publisher: JR Books Limited

Published: 2013-02-18

Total Pages: 176

ISBN-13: 1907532587

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DIV How many socks make a pair? The answer is not always two. And behind this question lies a world of maths that can be surprising, amusing and even beautiful. Using playing cards, a newspaper, the back of an envelope, a Sudoku, some pennies and of course a pair of socks, Rob Eastaway shows how maths can demonstrate its secret beauties in even the most mundane of everyday objects. If you already like maths youÕll discover plenty of new surprises. And if youÕve never picked up a maths book in your life, this one will change your view of the subject forever. /div


Book Synopsis How Many Socks Make a Pair? by : Rob Eastaway

Download or read book How Many Socks Make a Pair? written by Rob Eastaway and published by JR Books Limited. This book was released on 2013-02-18 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIV How many socks make a pair? The answer is not always two. And behind this question lies a world of maths that can be surprising, amusing and even beautiful. Using playing cards, a newspaper, the back of an envelope, a Sudoku, some pennies and of course a pair of socks, Rob Eastaway shows how maths can demonstrate its secret beauties in even the most mundane of everyday objects. If you already like maths youÕll discover plenty of new surprises. And if youÕve never picked up a maths book in your life, this one will change your view of the subject forever. /div


Maths Tricks to Blow Your Mind

Maths Tricks to Blow Your Mind

Author: Kyle D. Evans

Publisher: Atlantic Books

Published: 2021-10-07

Total Pages: 161

ISBN-13: 1838953671

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What is 4% of 75? Can you calculate 60 + 60 x 0 + 1? Which is bigger, an 18-inch pizza or two 12-inch pizzas? Join award-winning maths presenter Kyle D Evans on an entertaining tour of viral maths problems that have gone wild on social media in recent years. From the infamous 'Hannah's sweets' exam question to percentages 'life-hacks', viral maths problems seem to capture the public's imagination without fail. In Maths Tricks to Blow Your Mind, Kyle presents over 50 viral maths problems with background information, explanations and solutions to similar problems, all in a humorous, accessible and inclusive manner. Want to dazzle and delight your friends and family? This book shows you how!


Book Synopsis Maths Tricks to Blow Your Mind by : Kyle D. Evans

Download or read book Maths Tricks to Blow Your Mind written by Kyle D. Evans and published by Atlantic Books. This book was released on 2021-10-07 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is 4% of 75? Can you calculate 60 + 60 x 0 + 1? Which is bigger, an 18-inch pizza or two 12-inch pizzas? Join award-winning maths presenter Kyle D Evans on an entertaining tour of viral maths problems that have gone wild on social media in recent years. From the infamous 'Hannah's sweets' exam question to percentages 'life-hacks', viral maths problems seem to capture the public's imagination without fail. In Maths Tricks to Blow Your Mind, Kyle presents over 50 viral maths problems with background information, explanations and solutions to similar problems, all in a humorous, accessible and inclusive manner. Want to dazzle and delight your friends and family? This book shows you how!


Mathematical Writing

Mathematical Writing

Author: Donald E. Knuth

Publisher: Cambridge University Press

Published: 1989

Total Pages: 132

ISBN-13: 9780883850633

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This book will help those wishing to teach a course in technical writing, or who wish to write themselves.


Book Synopsis Mathematical Writing by : Donald E. Knuth

Download or read book Mathematical Writing written by Donald E. Knuth and published by Cambridge University Press. This book was released on 1989 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will help those wishing to teach a course in technical writing, or who wish to write themselves.


How Long Is a Piece of String?

How Long Is a Piece of String?

Author: Rob Eastaway

Publisher: Portico

Published: 2014-04-02

Total Pages: 243

ISBN-13: 1909396613

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Why do weather forecasters get it wrong? What are the best tactics for playing "Who Wants to be a Millionaire?" and "The Weakest Link"? And what is the link between a tin of baked beans and a men's urinal? These and many other questions are answered in this book. It is for anyone wanting to remind themselves - or discover for the first time - that maths is relevant to almost everything we do. Dating, cooking, travelling by car, gambling and ranking sportsmen all have links with intriguing mathematical problems that are explained in this book. It reveals the secrets behind some of the best con tricks and the hidden workings of the taxi meter, and explains how epidemics start and stop.


Book Synopsis How Long Is a Piece of String? by : Rob Eastaway

Download or read book How Long Is a Piece of String? written by Rob Eastaway and published by Portico. This book was released on 2014-04-02 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do weather forecasters get it wrong? What are the best tactics for playing "Who Wants to be a Millionaire?" and "The Weakest Link"? And what is the link between a tin of baked beans and a men's urinal? These and many other questions are answered in this book. It is for anyone wanting to remind themselves - or discover for the first time - that maths is relevant to almost everything we do. Dating, cooking, travelling by car, gambling and ranking sportsmen all have links with intriguing mathematical problems that are explained in this book. It reveals the secrets behind some of the best con tricks and the hidden workings of the taxi meter, and explains how epidemics start and stop.


Mindbenders and Brainteasers

Mindbenders and Brainteasers

Author: Rob Eastaway

Publisher: Portico

Published: 2014-05-30

Total Pages: 163

ISBN-13: 1909396842

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Puzzles have intrigued and entertained generations of children – and their parents – for over 2,000 years. Here is an irrestible assortment of 100 challenging puzzles. These brilliant brainteasers range from the neatly lateral to the downright perplexing.


Book Synopsis Mindbenders and Brainteasers by : Rob Eastaway

Download or read book Mindbenders and Brainteasers written by Rob Eastaway and published by Portico. This book was released on 2014-05-30 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Puzzles have intrigued and entertained generations of children – and their parents – for over 2,000 years. Here is an irrestible assortment of 100 challenging puzzles. These brilliant brainteasers range from the neatly lateral to the downright perplexing.


Guesstimation 2.0

Guesstimation 2.0

Author: Lawrence Weinstein

Publisher: Princeton University Press

Published: 2012-09-30

Total Pages: 384

ISBN-13: 069115080X

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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?


Book Synopsis Guesstimation 2.0 by : Lawrence Weinstein

Download or read book Guesstimation 2.0 written by Lawrence Weinstein and published by Princeton University Press. This book was released on 2012-09-30 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and Computation

Mathematics and Computation

Author: Avi Wigderson

Publisher: Princeton University Press

Published: 2019-10-29

Total Pages: 434

ISBN-13: 0691189137

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An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography


Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography