Solutions to many of the world's Mathematical Olympiad problems to hone students' skills for competitions or simply to enhance their general mathematical knowledge. The problems include geometry, algebra, and calculus.
Solutions to many of the world's Mathematical Olympiad problems to hone students' skills for competitions or simply to enhance their general mathematical knowledge. The problems include geometry, algebra, and calculus.
This book describes in detail a series of new strategies to solve problems, mainly in mathematics. New techniques are presented which have been tested in class by the author for over thirty years. These techniques advance the state-of-the-art in problem solving and extend existing methods of such great mathematicians and cognitive psychologists such as G. Polya, H.A. Simon, W. Wickelgren, and J. Greeno. The book provides each technique with a detailed description and then illustrates it through a number of problems spanning a wide spectrum of mathematical areas.
The key to conquering the most-feared type of standardized test questions This is an indispensable resource for the parents of the more than 16 million school children nationwide who, each year, take standardized assessment tests of basic math and language skills. It focuses on the category of test question that students dread the most and in which they do least well: mathematics word problems. Written by a national expert in mathematics education, it takes the fear and frustration out of mathematics word problems by providing a simple, step-by-step approach that emphasizes the mechanics and grammar of problem solving and that is guaranteed to make solving all types of math word problems a breeze, even for math-phobic students. Covers all types of mathematics word problems found on standardized tests and identifies the value of each type on the tests Features dozens of examples and practice problems, with step-by-step solutions and key mathematics concepts clearly explained Includes a 50-question drill using problems drawn from actual tests, with answers provided at the back of the book
Sanity-saving features include: Step-by-step approach to word problems Complete explanations of every step Glossary of terms and Appendices Sample problems of every type Supplementary problems in every chapter 50-question practice drill ...
And 34 Other Really Interesting Uses of Mathematics
Can you outrun a bullet? How do you build an electronic brain? Is it possible to create an unbreakable code? Could you slow down time? How do you unleash chaos? If you thought mathematics was all about measuring angles in a triangle or factorizing equations, think again ... How to Build a Brain and 34 Other Really Interesting Uses of Mathematics demystifies the astonishing world of maths in a series of intriguing, entertaining and often extraordinary scenarios - that explain key concepts in plain and simple language. You'll find out how to unknot your DNA, how to count like a supercomputer and how to become famous for solving mathematics most challenging problem. You'll learn essential survival skills such as how to survive in a whirlpool, how to slay a mathematical monster and how to be alive and dead at the same time. And along the way you'll discover some plain old cool stuff like how to unleash chaos, how to create an unbreakable code and how to use the mathematics to win at roulette or avoid going to prison. So if you want to get to grips with the great questions of number theory and geometry, the mysteries of the prime numbers or Plato's classification of regular polyhedra, or if you are really more interested in learning how to have beautiful children or how to make a million on the stock market, this is the perfect introduction to the fascinating world of modern mathematics.
... Meiko Kwan, in 1962. Kwan found a way to solve the problem: he provided a
simple set of instructions (or an algorithm, see How to bring down the internet)
that will always produce an optimal solution to the Chinese postman problem.
Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.
Euler was unable to give a solution, and even to this day there is no complete solution for this problem. One of the most famous of unsolved problems, which
can be stated in terms of elementary concepts, is known as Fermat's Last
Theorem.
Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions.
Preface In the mathematics and science courses I took in college, I was
enormously irritated by the hundreds of hours that I wasted staring at problems
without any good idea about what approach to try next in attempting to solve
them. l thought ...
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.
