Solving Impossible Problems
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Problem Solving Through Problems
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Author : Loren C. Larson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Problem Solving Through Problems written by Loren C. Larson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.
What S Your Problem
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Author : Thomas Wedell-Wedellsborg
language : en
Publisher: Harvard Business Press
Release Date : 2020-03-17
What S Your Problem written by Thomas Wedell-Wedellsborg and has been published by Harvard Business Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-17 with Business & Economics categories.
"The author makes a compelling case that we often start solving a problem before thinking deeply about whether we are solving the right problem. If you want the superpower of solving better problems, read this book." -- Eric Schmidt, former CEO, Google Are you solving the right problems? Have you or your colleagues ever worked hard on something, only to find out you were focusing on the wrong problem entirely? Most people have. In a survey, 85 percent of companies said they often struggle to solve the right problems. The consequences are severe: Leaders fight the wrong strategic battles. Teams spend their energy on low-impact work. Startups build products that nobody wants. Organizations implement "solutions" that somehow make things worse, not better. Everywhere you look, the waste is staggering. As Peter Drucker pointed out, there's nothing more dangerous than the right answer to the wrong question. There is a way to do better. The key is reframing, a crucial, underutilized skill that you can master with the help of this book. Using real-world stories and unforgettable examples like "the slow elevator problem," author Thomas Wedell-Wedellsborg offers a simple, three-step method - Frame, Reframe, Move Forward - that anyone can use to start solving the right problems. Reframing is not difficult to learn. It can be used on everyday challenges and on the biggest, trickiest problems you face. In this visually engaging, deeply researched book, you’ll learn from leaders at large companies, from entrepreneurs, consultants, nonprofit leaders, and many other breakthrough thinkers. It's time for everyone to stop barking up the wrong trees. Teach yourself and your team to reframe, and growth and success will follow.
Problem Solving Strategies
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Author : Arthur Engel
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-19
Problem Solving Strategies written by Arthur Engel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-19 with Mathematics categories.
A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
Problem Solving 101
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Author : Ken Watanabe
language : en
Publisher: Penguin
Release Date : 2009-03-05
Problem Solving 101 written by Ken Watanabe and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-05 with Business & Economics categories.
The fun and simple problem-solving guide that took Japan by storm Ken Watanabe originally wrote Problem Solving 101 for Japanese schoolchildren. His goal was to help shift the focus in Japanese education from memorization to critical thinking, by adapting some of the techniques he had learned as an elite McKinsey consultant. He was amazed to discover that adults were hungry for his fun and easy guide to problem solving and decision making. The book became a surprise Japanese bestseller, with more than 370,000 in print after six months. Now American businesspeople can also use it to master some powerful skills. Watanabe uses sample scenarios to illustrate his techniques, which include logic trees and matrixes. A rock band figures out how to drive up concert attendance. An aspiring animator budgets for a new computer purchase. Students decide which high school they will attend. Illustrated with diagrams and quirky drawings, the book is simple enough for a middleschooler to understand but sophisticated enough for business leaders to apply to their most challenging problems.
The Ultimate Challenge
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Author : Jeffrey C. Lagarias
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
The Ultimate Challenge written by Jeffrey C. Lagarias and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
The $3x 1$ problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer $x$ is odd then ""multiply by three and add one"", while if it is even then ""divide by two"". The $3x 1$ problem asks whether, starting from any positive integer, repeating this procedure over and over will eventually reach the number 1. Despite its simple appearance, this problem is unsolved. Generalizations of the problem are known to be undecidable, and the problem itself is believed to be extraordinarily difficult. This book reports on what is known on this problem. It consists of a collection of papers, which can be read independently of each other. The book begins with two introductory papers, one giving an overview and current status, and the second giving history and basic results on the problem. These are followed by three survey papers on the problem, relating it to number theory and dynamical systems, to Markov chains and ergodic theory, and to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem, which verify its truth for $x
Triz For Engineers Enabling Inventive Problem Solving
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Author : Karen Gadd
language : en
Publisher: John Wiley & Sons
Release Date : 2011-03-21
Triz For Engineers Enabling Inventive Problem Solving written by Karen Gadd and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-21 with Technology & Engineering categories.
TRIZ is a brilliant toolkit for nurturing engineering creativity and innovation. This accessible, colourful and practical guide has been developed from problem-solving workshops run by Oxford Creativity, one of the world's top TRIZ training organizations started by Gadd in 1998. Gadd has successfully introduced TRIZ to many major organisations such as Airbus, Sellafield Sites, Saint-Gobain, DCA, Doosan Babcock, Kraft, Qinetiq, Trelleborg, Rolls Royce and BAE Systems, working on diverse major projects including next generation submarines, chocolate packaging, nuclear clean-up, sustainability and cost reduction. Engineering companies are increasingly recognising and acting upon the need to encourage successful, practical and systematic innovation at every stage of the engineering process including product development and design. TRIZ enables greater clarity of thought and taps into the creativity innate in all of us, transforming random, ineffective brainstorming into targeted, audited, creative sessions focussed on the problem at hand and unlocking the engineers' knowledge and genius to identify all the relevant solutions. For good design engineers and technical directors across all industries, as well as students of engineering, entrepreneurship and innovation, TRIZ for Engineers will help unlock and realise the potential of TRIZ. The individual tools are straightforward, the problem-solving process is systematic and repeatable, and the results will speak for themselves. This highly innovative book: Satisfies the need for concise, clearly presented information together with practical advice on TRIZ and problem solving algorithms Employs explanatory techniques, processes and examples that have been used to train thousands of engineers to use TRIZ successfully Contains real, relevant and recent case studies from major blue chip companies Is illustrated throughout with specially commissioned full-colour cartoons that illustrate the various concepts and techniques and bring the theory to life Turns good engineers into great engineers.
Tales Of Impossibility
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Author : David S. Richeson
language : en
Publisher: Princeton University Press
Release Date : 2019-10-08
Tales Of Impossibility written by David S. Richeson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-08 with Mathematics categories.
A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—which demonstrated the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.
Solving Mathematical Problems
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Author : Terence Tao
language : en
Publisher: OUP Oxford
Release Date : 2006-07-28
Solving Mathematical Problems written by Terence Tao and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-28 with Mathematics categories.
Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.
Techniques Of Problem Solving
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Author : Steven G. Krantz
language : en
Publisher: American Mathematical Society
Release Date : 1996-11-13
Techniques Of Problem Solving written by Steven G. Krantz and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-13 with Mathematics categories.
The purpose of this book is to teach the basic principles of problem solving, including both mathematical and nonmathematical problems. This book will help students to … translate verbal discussions into analytical data.learn problem-solving methods for attacking collections of analytical questions or data.build a personal arsenal of internalized problem-solving techniques and solutions.become “armed problem solvers”, ready to do battle with a variety of puzzles in different areas of life.Taking a direct and practical approach to the subject matter, Krantz's book stands apart from others like it in that it incorporates exercises throughout the text. After many solved problems are given, a “Challenge Problem” is presented. Additional problems are included for readers to tackle at the end of each chapter. There are more than 350 problems in all. This book won the CHOICE Outstanding Academic Book Award for 1997. A Solutions Manual to most end-of-chapter exercises is available.
How To Solve It
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Author : George Polya
language : en
Publisher: Princeton University Press
Release Date : 2014-10-27
How To Solve It written by George Polya and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-27 with Education categories.
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.