Intriguing Mathematical Problems

Treasury of challenging brainteasers includes puzzles involving numbers, letters, probability, reasoning, more: The Enterprising Snail, The Fly and the Bicycles, The Lovesick Cockroaches, many others. No advanced math needed. Solutions.

Author: Oswald Jacoby

Publisher: Courier Corporation

ISBN: 0486168360

Category: Science

Page: 208

View: 359

Treasury of challenging brainteasers includes puzzles involving numbers, letters, probability, reasoning, more: The Enterprising Snail, The Fly and the Bicycles, The Lovesick Cockroaches, many others. No advanced math needed. Solutions.

Which Way Did the Bicycle Go

The best problems selected from over 25 years of the Problem of the Week at Macalester College.

Author: Joseph D. E. Konhauser

Publisher: Cambridge University Press

ISBN: 9780883853252

Category: Education

Page: 235

View: 614

The best problems selected from over 25 years of the Problem of the Week at Macalester College.

Bicycle or Unicycle A Collection of Intriguing Mathematical Puzzles

Preface. Mathematical problems can be appealing for a variety of reasons, but
we are especially fond of problems that have a big surprise factor. The surprise
can take different forms. Our previous problem book, WhichWayDid theBicycle
Go?

Author: Daniel J. Velleman

Publisher: American Mathematical Soc.

ISBN: 1470447592

Category: Mathematics

Page: 286

View: 320

Bicycle or Unicycle? is a collection of 105 mathematical puzzles whose defining characteristic is the surprise encountered in their solutions. Solvers will be surprised, even occasionally shocked, at those solutions. The problems unfold into levels of depth and generality very unusual in the types of problems seen in contests. In contrast to contest problems, these are problems meant to be savored; many solutions, all beautifully explained, lead to unanswered research questions. At the same time, the mathematics necessary to understand the problems and their solutions is all at the undergraduate level. The puzzles will, nonetheless, appeal to professionals as well as to students and, in fact, to anyone who finds delight in an unexpected discovery. These problems were selected from the Macalester College Problem of the Week archive. The Macalester tradition of a weekly problem was started by Joseph Konhauser in 1968. In 1993 Stan Wagon assumed problem-generating duties. A previous book written by Wagon, Konhauser, and Dan Velleman, Which Way Did the Bicycle Go?, gathered problems from the first twenty-five years of the archive. The title problem in that collection was inspired by an error in logic made by Sherlock Holmes, who attempted to determine the direction of a bicycle from the tracks of its wheels. Here the title problem asks whether a bicycle track can always be distinguished from a unicycle track. You'll be surprised by the answer.

Mrs Perkins s Electric Quilt

An incomparable collection of stimulating math puzzles from bestselling author Paul Nahin What does quilting have to do with electric circuit theory?

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 1400833469

Category: Mathematics

Page: 424

View: 622

What does quilting have to do with electric circuit theory? The answer is just one of the fascinating ways that best-selling popular math writer Paul Nahin illustrates the deep interplay of math and physics in the world around us in his latest book of challenging mathematical puzzles, Mrs. Perkins's Electric Quilt. With his trademark combination of intriguing mathematical problems and the historical anecdotes surrounding them, Nahin invites readers on an exciting and informative exploration of some of the many ways math and physics combine to create something vastly more powerful, useful, and interesting than either is by itself. In a series of brief and largely self-contained chapters, Nahin discusses a wide range of topics in which math and physics are mutually dependent and mutually illuminating, from Newtonian gravity and Newton's laws of mechanics to ballistics, air drag, and electricity. The mathematical subjects range from algebra, trigonometry, geometry, and calculus to differential equations, Fourier series, and theoretical and Monte Carlo probability. Each chapter includes problems--some three dozen in all--that challenge readers to try their hand at applying what they have learned. Just as in his other books of mathematical puzzles, Nahin discusses the historical background of each problem, gives many examples, includes MATLAB codes, and provides complete and detailed solutions at the end. Mrs. Perkins's Electric Quilt will appeal to students interested in new math and physics applications, teachers looking for unusual examples to use in class--and anyone who enjoys popular math books.

The Commonwealth

But it is only necesaged twenty , quite good in mathematics , sary to produce a
powerful effort in order but interested mostly ... drive . of an intriguing
mathematical problem in Brain Stimulation Is Shared order to render the pain
more bearable .

Author:

Publisher:

ISBN:

Category: California

Page:

View: 818


100 Great Problems of Elementary Mathematics

Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.

Author: Heinrich Dörrie

Publisher: Courier Corporation

ISBN: 0486318478

Category: Mathematics

Page: 416

View: 153

Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.

Mathematical Problems in the Biological Sciences

A very intriguing mathematical problem is that of determining the degree of
control which may be affected in situations in which we know very little about
basic mechanisms. Here adaptive control theory may play a role. Problems of
medical ...

Author: American Mathematical Society

Publisher: American Mathematical Soc.

ISBN: 0821813145

Category: Biology

Page: 250

View: 407


Teaching Children Mathematics

The only way to know is to further investigate this interesting problem . John had
an insightful idea about extending the size of the starting numbers . He
determined that beginning with a three - digit number would often be the same as
 ...

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 489


Mathematics Teaching in the Middle School

Teachers can introduce most mathematical concepts through problems based on
familiar experiences in students ' lives or arising from intriguing mathematical
contexts . Navigating through Problem Solving and Reasoning These books ...

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 605


Mathematical Discovery on Understanding Learning and Teaching Problem Solving Volumes I and II

We assuredly still need to recognize when a problem is suitable — and ripe — for
mathematical treatment , and we ... is to exemplify problem - solving strategies
and principles with the aid of interesting and intriguing mathematical questions .

Author: George Polya

Publisher: Wiley

ISBN:

Category: Mathematics

Page: 464

View: 277

A unique, heuristic approach to mathematical discovery and problem solving This combined edition of Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving is unique among mathematics texts. Espousing a heuristic approach to mathematical problem solving, the text may be followed sequentially or according to instructors' individualized curricula. Beginning with a discussion of patterns and practical approaches to problem solving, the book then presents examples from various branches of math and science to help students discover how to solve problems on their own – an invaluable skill for the classroom and beyond.

The Mathematics Teacher

Teachers can introduce most mathematical concepts through problems based on
familiar experiences in students ' lives or arising from intriguing mathematical
contexts . Navigating through Problem Solving Tand Reasonil Prekidergar ...

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 605


The Stanford Mathematics Problem Book

Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.

Author: George Polya

Publisher: Courier Corporation

ISBN: 048631832X

Category: Mathematics

Page: 80

View: 767

Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.

More Mathematical Morsels

All of the problems presented in the volume are accessible to anyone with an interest in mathematics.

Author: Ross Honsberger

Publisher: American Mathematical Soc.

ISBN: 1470458381

Category: Education

Page: 322

View: 892

Another collection of problems from best-selling author Ross Honsberger. He presents a selection drawn from probability, number theory, combinatorics, and geometry, and provides ingenious solutions and/or intriguing results. All of the problems presented in the volume are accessible to anyone with an interest in mathematics.

The Mathematics Student

A very intriguing mathematical problem is that of determining the degree of
control which may be affected in situations in which we know very little about
basic mechanisms . Here adaptive control theory may play a role . Problems on
medical ...

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 524


Number Crunching

These are just some of the intriguing questions that best-selling popular math writer Paul Nahin tackles in Number-Crunching.

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 1400839580

Category: Mathematics

Page: 408

View: 934

More stimulating mathematics puzzles from bestselling author Paul Nahin How do technicians repair broken communications cables at the bottom of the ocean without actually seeing them? What's the likelihood of plucking a needle out of a haystack the size of the Earth? And is it possible to use computers to create a universal library of everything ever written or every photo ever taken? These are just some of the intriguing questions that best-selling popular math writer Paul Nahin tackles in Number-Crunching. Through brilliant math ideas and entertaining stories, Nahin demonstrates how odd and unusual math problems can be solved by bringing together basic physics ideas and today's powerful computers. Some of the outcomes discussed are so counterintuitive they will leave readers astonished. Nahin looks at how the art of number-crunching has changed since the advent of computers, and how high-speed technology helps to solve fascinating conundrums such as the three-body, Monte Carlo, leapfrog, and gambler's ruin problems. Along the way, Nahin traverses topics that include algebra, trigonometry, geometry, calculus, number theory, differential equations, Fourier series, electronics, and computers in science fiction. He gives historical background for the problems presented, offers many examples and numerous challenges, supplies MATLAB codes for all the theories discussed, and includes detailed and complete solutions. Exploring the intimate relationship between mathematics, physics, and the tremendous power of modern computers, Number-Crunching will appeal to anyone interested in understanding how these three important fields join forces to solve today's thorniest puzzles.

Mathematics in the Social Sciences in Australia

In that sense an open simulation is bad mathematics even if it is a good social
system representation . I do not mean to suggest that there aren't many difficult
but intriguing mathematical and statistical problems in the simulation area . Not to
be ...

Author:

Publisher:

ISBN:

Category: Mathematics

Page: 670

View: 319


Solve This

This is a collection of intriguing mathematical problems and activities arising from our everyday experience.

Author: James S. Tanton

Publisher: Cambridge University Press

ISBN: 9780883857175

Category: Mathematics

Page: 218

View: 811

This is a collection of intriguing mathematical problems and activities arising from our everyday experience.

Proceedings of the IBM Symposium on Mathematical Foundations of Computer Science

Among the most intriguing mathematical problems about L systems is the so -
called DOL equivalence problem : Construct an algorithm for deciding whether or
not two given DOL systems are ( language or sequence ) equivalent . Indeed ,
the ...

Author:

Publisher:

ISBN:

Category: Computer programming

Page:

View: 703


Proceedings of the Fourth IBM Symposium on Mathematical Foundations of Computer Science Parallel Processing Structured Automata Languages November 12 14 1979 at Oiso Prince Hotel

Among the most intriguing mathematical problems about L systems is the so -
called DOL equivalence problem : Construct an algorithm for deciding whether or
not two given DOL systems are ( language or sequence ) equivalent . Indeed ,
the ...

Author:

Publisher:

ISBN:

Category: Automata

Page: 230

View: 578


Mathematical Reviews

162 pp . on the emergence of one of the most intriguing mathematical ISBN 5 -
201 - 09779 - 0 concepts — that of ... ISBN 0 - 471 - 33052 - 3 and of improper
linear programming problems ( Russian ) ( 57 – 88 , From the preface : “ This
book ...

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 501