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| Author | : Paul Zeitz |
| Publisher | : John Wiley & Sons |
| Total Pages | : 389 |
| Release | : 2017 |
| Genre | : Problem solving |
| ISBN | : 1119239907 |
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.
| Author | : Sergeĭ Aleksandrovich Genkin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 286 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : 0821804308 |
Suitable for both students and teachers who love mathematics and want to study its various branches beyond the limits of school curriculum. This book contains vast theoretical and problem material in main areas of what authors consider to be 'extracurricular mathematics'.
| Author | : Arthur Engel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 404 |
| Release | : 2008-01-19 |
| Genre | : Mathematics |
| ISBN | : 0387226419 |
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.
| Author | : Sandor Lehoczky |
| Publisher | : Mitchell Beazley |
| Total Pages | : 0 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 9780977304561 |
" ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover
| Author | : Ken Watanabe |
| Publisher | : Penguin |
| Total Pages | : 130 |
| Release | : 2009-03-05 |
| Genre | : Business & Economics |
| ISBN | : 1101029188 |
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.
| Author | : Loren C. Larson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 322 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461254981 |
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.
| Author | : Amy E. Herman |
| Publisher | : HarperCollins |
| Total Pages | : 362 |
| Release | : 2021-12-14 |
| Genre | : Business & Economics |
| ISBN | : 0063004860 |
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.
| Author | : Sanjoy Mahajan |
| Publisher | : MIT Press |
| Total Pages | : 152 |
| Release | : 2010-03-05 |
| Genre | : Education |
| ISBN | : 0262265591 |
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.
| Author | : Răzvan Gelca |
| Publisher | : Springer |
| Total Pages | : 857 |
| Release | : 2017-09-19 |
| Genre | : Mathematics |
| ISBN | : 3319589881 |
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.
| Author | : Terence Tao |
| Publisher | : OUP Oxford |
| Total Pages | : 116 |
| Release | : 2006-07-28 |
| Genre | : Mathematics |
| ISBN | : 0191568694 |
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.
