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The Art And Craft Of Problem Solving
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Book Synopsis The Art and Craft of Problem Solving by : Paul Zeitz
Download or read book The Art and Craft of Problem Solving written by Paul Zeitz and published by John Wiley & Sons. This book was released on 2017 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.
Book Synopsis The Art of Problem Solving, Volume 1 by : Sandor Lehoczky
Download or read book The Art of Problem Solving, Volume 1 written by Sandor Lehoczky and published by Mitchell Beazley. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: " ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover
Download or read book Fixed. written by Amy E. Herman and published by HarperCollins. This book was released on 2021-12-14 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: With Amy Herman’s Fixed., we now have access to what the FBI, NATO, the State Department, Interpol, Scotland Yard, and many more organizations and their leaders have been using to solve their most intractable problems. Demonstrating a powerful paradigm shift for finding solutions, Herman teaches us to see things differently, using art to challenge our default thinking and open up possibilities otherwise overlooked. Her unexpected, insightful, and often delightful methodology is sought after by leaders and professionals for whom failure is catastrophic. Luckily for us, these tactics work— no matter the problem’s scale or complexity. And we don’t need an art degree or previous knowledge about art to benefit from her approach, only a willingness to open our eyes and our minds. Yes, things go wrong all the time. What matters most is what we do to fix them.
Book Synopsis Problem-Solving Strategies by : Arthur Engel
Download or read book Problem-Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Young at Art written by Susan Striker and published by Holt Paperbacks. This book was released on 2011-04-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the creator of the bestselling Anti-Coloring Book series with more than 600,000 copies sold, a new parenting guide to encouraging creativity in preschool-age children Young at Art is the first and only comprehensive book for the general audience about the nature, value and impact of art on very young children. Directed towards parents and educators of one to five year olds, Susan Striker explains why children's art is not a frill, but the very foundation upon which all later fundamental skills are built. She drives home the idea that encouraging children's artistic growth will have beneficial effects on all other aspects of their emotional and intellectual development. At the core of this practical guide is the understanding that art is an important tool in teaching young children crucial concepts related to self-expression, reading and writing. As opposed to more structured exercises, such as coloring on dittos and underlining pictures in workbooks, Striker stresses that scribbling and free drawing experiments are the most important art activities a child can engage in; they better prepare children to read independently as they grow. Young at Art provides descriptions for age-appropriate art activities, tips for carrying them out safely, and helps parents recognize what a child's art work should look like at each stage of development. With Young at Art, parents will develop realistic expectations of their children's work, learn how to speak to their children about their art, and facilitate skills well beyond their creativity that will benefit children.
Book Synopsis Solving Mathematical Problems by : Terence Tao
Download or read book Solving Mathematical Problems written by Terence Tao and published by OUP Oxford. This book was released on 2006-07-28 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Problem-Solving Through Problems by : Loren C. Larson
Download or read book Problem-Solving Through Problems written by Loren C. Larson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Putnam and Beyond written by Răzvan Gelca and published by Springer. This book was released on 2017-09-19 with total page 857 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.
Book Synopsis Problem Solving 101 by : Ken Watanabe
Download or read book Problem Solving 101 written by Ken Watanabe and published by Penguin. This book was released on 2009-03-05 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis Contests in Higher Mathematics by : Gabor J. Szekely
Download or read book Contests in Higher Mathematics written by Gabor J. Szekely and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklós Schweitzer. The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combinatorics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathematicians. The large variety of research level problems might be of interest for more mature mathematicians and historians of mathematics as well.
Book Synopsis The Problem with Problems by : Rachel Rooney
Download or read book The Problem with Problems written by Rachel Rooney and published by Rodale Kids. This book was released on 2020-06-16 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you deal with problems? Find out in this bold, humorous, and surprisingly insightful picture book that personifies "problems" as creatures, and skillfully teaches readers (big and small!) how to handle one when it appears. Have you ever met a problem? They come in all shapes and sizes, and can pop up at the most inconvenient times. But you should know some things about problems that will help you make them disappear... This picture book's original take on managing emotions, and emphasis on communication, will help little ones and grown-ups alike naviagate their peskiest problems. THE PROBLEM WITH PROBLEMS is filled with social-emotional learning-based advice for every kind of situation, wrapped lovingly in the lyrical prose of award-winning children's poet Rachel Rooney.
Book Synopsis Craftwork as Problem Solving by : Trevor H.J. Marchand
Download or read book Craftwork as Problem Solving written by Trevor H.J. Marchand and published by Routledge. This book was released on 2017-05-15 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together a cross-disciplinary group of anthropologists, researchers of craft, and designer-makers to enumerate and explore the diversity and complexity of problem-solving tactics and strategies employed by craftspeople, together with the key social, cultural, and environmental factors that give rise to particular ways of problem solving. Presenting rich, textured ethnographic studies of craftspeople at work around the world, Craftwork as Problem Solving examines the intelligent practices involved in solving a variety of problems and the ways in which these are perceived and evaluated both by makers and creators themselves, and by the societies in which they work. With attention to local factors such as training regimes and formal education, access to tools, socialisation and cultural understanding, budgetary constraints and market demands, changing technologies and materials, and political and economic regimes, this book sheds fresh light on the multifarious forms of intelligence involved in design and making, inventing and manufacturing, and cultivating and producing. As such, it will appeal to scholars of anthropology, sociology, and cultural geography, as well as to craftspeople with interests in creativity, skilful practice, perception and ethnography.
Book Synopsis Problem Solving for Oil Painters by : Gregg Kreutz
Download or read book Problem Solving for Oil Painters written by Gregg Kreutz and published by Watson-Guptill. This book was released on 1997-04-01 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finally - a book to help you solve all your painting problems! Inside you'll learn how to study a painting and correct problematic areas. Study topics include: Ideas - Is there a good abstract idea underlying the picture? - What details could be eliminated to strengthen the composition? - Does the painting have a focus? - Are the unessential parts subbordinated? - Does the painting "read"? - Could you finish any part of the painting? Shapes - Are the dominant shapes as strong and simple as possible? - Are the shapes too similiar? Value - Could the value range be increased? - Could the number of values be reduced? Light - Is the subject effectively lit? - Is the light area big enough? - Would the light look stronger with a suggestion of burnout? - Do the lights have a continuous flow? - Is the light gradiated? Shadows - Do the shadow shapes describe the form? - Are the shadows warm enough? Depth - Would the addition of foreground material deepen the space? - Does the background recede far enough? - Are the halftones properly related to the background? Solidity - Is the underlying form being communicated? - Is the symmetry in perspective? Color - Is there a color strategy? - Could a purer color be used? - Do the whites have enough color in them? - Are the colors overbended on the canvas? - would the color look brighter if it were saturated into its adjacent area? Paint - Is your palette efficiently organized? - Is the painting surface too absorbent? - Are you using the palette knife as much as you could? - Are you painting lines when you should be painting masses? - Are the edges dynamic enough? - Is there enough variation in the texture of the paint?
Book Synopsis Discovering Mathematics by : A. Gardiner
Download or read book Discovering Mathematics written by A. Gardiner and published by Courier Corporation. This book was released on 2006-01-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term "mathematics" usually suggests an array of familiar problems with solutions derived from well-known techniques. Discovering Mathematics: The Art of Investigation takes a different approach, exploring how new ideas and chance observations can be pursued, and focusing on how the process invariably leads to interesting questions that would never have otherwise arisen. With puzzles involving coins, postage stamps, and other commonplace items, students are challenged to account for the simple explanations behind perplexing mathematical phenomena. Elementary methods and solutions allow readers to concentrate on the way in which the material is explored, as well as on strategies for answers that aren't immediately obvious. The problems don't require the kind of sophistication that would put them out of reach of ordinary students, but they're sufficiently complex to capture the essential features of mathematical discovery. Complete solutions appear at the end.
Book Synopsis Techniques of Problem Solving by : Steven G. Krantz
Download or read book Techniques of Problem Solving written by Steven G. Krantz and published by American Mathematical Society. This book was released on 1996-11-13 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Making Up Your Own Mind by : Edward B. Burger
Download or read book Making Up Your Own Mind written by Edward B. Burger and published by Princeton University Press. This book was released on 2018-11-20 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: How you can become better at solving real-world problems by learning creative puzzle-solving skills We solve countless problems—big and small—every day. With so much practice, why do we often have trouble making simple decisions—much less arriving at optimal solutions to important questions? Are we doomed to this muddle—or is there a practical way to learn to think more effectively and creatively? In this enlightening, entertaining, and inspiring book, Edward Burger shows how we can become far better at solving real-world problems by learning creative puzzle-solving skills using simple, effective thinking techniques. Making Up Your Own Mind teaches these techniques—including how to ask good questions, fail and try again, and change your mind—and then helps you practice them with fun verbal and visual puzzles. The goal is not to quickly solve each challenge but to come up with as many different ways of thinking about it as possible. As you see the puzzles in ever-greater depth, your mind will change, helping you become a more imaginative and creative thinker in daily life. And learning how to be a better thinker pays off in incalculable ways for anyone—including students, businesspeople, professionals, athletes, artists, leaders, and lifelong learners. A book about changing your mind and creating an even better version of yourself through mental play, Making Up Your Own Mind will delight and reward anyone who wants to learn how to find better solutions to life’s innumerable puzzles. And the puzzles extend to the thought-provoking format of the book itself because one of the later short chapters is printed upside down while another is printed in mirror image, further challenging the reader to see the world through different perspectives and make new meaning.
