Mathematics

The Red Book of Mathematical Problems

Author: Kenneth S. Williams,Kenneth Hardy

Publisher: Courier Corporation

ISBN: 0486151824

Category: Mathematics

Page: 192

View: 827

Handy compilation of 100 practice problems, hints, and solutions indispensable for students preparing for the William Lowell Putnam and other mathematical competitions. Preface to the First Edition. Sources. 1988 edition.
Mathematics

The Green Book of Mathematical Problems

Author: Kenneth Hardy,Kenneth S. Williams

Publisher: Courier Corporation

ISBN: 0486169456

Category: Mathematics

Page: 184

View: 1224

Rich selection of 100 practice problems — with hints and solutions — for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Features real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References.
Language Arts & Disciplines

Puzzles in Logic, Languages and Computation

The Green Book

Author: Dragomir Radev

Publisher: Springer Science & Business Media

ISBN: 3642343724

Category: Language Arts & Disciplines

Page: 191

View: 4455

This is the second volume of a unique collection that brings together the best English-language problems created for students competing in the Computational Linguistics Olympiad. These problems are representative of the diverse areas presented in the competition and designed with three principles in mind: · To challenge the student analytically, without requiring any explicit knowledge or experience in linguistics or computer science; · To expose the student to the different kinds of reasoning required when encountering a new phenomenon in a language, both as a theoretical topic and as an applied problem; · To foster the natural curiosity students have about the workings of their own language, as well as to introduce them to the beauty and structure of other languages; · To learn about the models and techniques used by computers to understand human language. Aside from being a fun intellectual challenge, the Olympiad mimics the skills used by researchers and scholars in the field of computational linguistics. In an increasingly global economy where businesses operate across borders and languages, having a strong pool of computational linguists is a competitive advantage, and an important component to both security and growth in the 21st century. This collection of problems is a wonderful general introduction to the field of linguistics through the analytic problem solving technique. "A fantastic collection of problems for anyone who is curious about how human language works! These books take serious scientific questions and present them in a fun, accessible way. Readers exercise their logical thinking capabilities while learning about a wide range of human languages, linguistic phenomena, and computational models. " - Kevin Knight, USC Information Sciences Institute
Mathematics

Solving Mathematical Problems

A Personal Perspective

Author: Terence Tao

Publisher: OUP Oxford

ISBN: 0199205612

Category: Mathematics

Page: 103

View: 5226

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 of14 years and above in pure mathematics.
Mathematics

The Stanford Mathematics Problem Book

With Hints and Solutions

Author: George Polya,Jeremy Kilpatrick

Publisher: Courier Corporation

ISBN: 048631832X

Category: Mathematics

Page: 80

View: 8441

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.
Games

The Colossal Book of Mathematics

Classic Puzzles, Paradoxes, and Problems : Number Theory, Algebra, Geometry, Probability, Topology, Game Theory, Infinity, and Other Topics of Recreational Mathematics

Author: Martin Gardner

Publisher: W. W. Norton & Company

ISBN: 9780393020236

Category: Games

Page: 724

View: 2771

The author presents a selection of pieces from his Scientific American "Mathematical Games" column, presenting puzzles and concepts that range from arithmetic and geometrical games to the meaning of M.C. Escher's artwork.
Juvenile Nonfiction

The Book of Perfectly Perilous Math

24 Death-Defying Challenges for Young Mathematicians

Author: Sean Connolly

Publisher: Workman Publishing

ISBN: 1523502371

Category: Juvenile Nonfiction

Page: 240

View: 9066

Math rocks! At least it does in the gifted hands of Sean Connolly, who blends middle school math with fantasy to create an exciting adventure in problem-solving. These word problems are perilous, do-or-die scenarios of blood-sucking vampires (How many months would it take a single vampire to completely take over a town of 500,000 people?), or a rowboat of 5 shipwrecked sailors with a single barrel of freshwater (How much can they drink, and for how long, before they go mad from thirst???). Each problem requires readers to dig deep into the tools they’re learning in school to figure out how to survive. Kids will love solving these problems. Sean Connolly knows how to make tough subjects exciting and he brings that same intuitive understanding of what inspires and challenges kids’ curiosity to the 24 problems in The Book of Perfectly Perilous Math. These problems are as fun to read as they are challenging to solve. They test readers on fractions, algebra, geometry, probability, expressions and equations, and more. Use geometry to fill in for the ship’s navigator and make it safely to the New World. Escape an evil Duke’s executioner by picking the right door—probability will save your neck.
Mathematics

Problem-Solving Strategies

Author: Arthur Engel

Publisher: Springer Science & Business Media

ISBN: 0387982191

Category: Mathematics

Page: 403

View: 7216

This unique collection of problems from major national and international mathematical competitions for high school students is for trainers and participants at all levels: IMO, Tournament of the Towns, and noncalculus parts of the Putnam Competition. It will appeal to high school math club coaches and others wishing to inspire classroom creativity by posing a "problem of the week," "problem of the month," and "research problem of the year."
Philosophy

Mathematics and Logic

Author: Mark Kac,Stanislaw M. Ulam

Publisher: Courier Corporation

ISBN: 0486670856

Category: Philosophy

Page: 170

View: 1471

Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."
Mathematics

Challenging Math Problems

Author: Terry Stickels

Publisher: Courier Dover Publications

ISBN: 0486808572

Category: Mathematics

Page: 112

View: 316

"Fun and highly formidable math problems and puzzles from noted puzzle creator Terry Stickels." — Window on Resources Two friends wish to meet for breakfast twice a month throughout the year. In how many ways can they choose those two days so that they never meet on consecutive days? You want to measure 30 seconds and you have two pieces of string, each of which burns for 40 seconds. How can you accomplish this without bending, folding, or cutting the strings? A positive whole number is divisible by 3 and also by 5. When the number is divided by 7, the remainder is 5. What is the smallest number that could work? These are but a few of this book's assembly of the most challenging puzzles imaginable ― and they require no background in higher math, just good thinking skills. Terry Stickels, a well-known puzzle-maker, has compiled 101 of some of the best and most entertaining problems ever published. All of the challenges, which range from probability puzzles to dice games, have two things in common: each offers the "Aha!" moment of discovery that puzzle-solvers love, and they're all fun. Complete solutions for all puzzles explain every detail.
Mathematics

Problem-Solving Through Problems

Author: Loren C. Larson

Publisher: Springer Science & Business Media

ISBN: 1461254981

Category: Mathematics

Page: 352

View: 4625

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.
Science

Equations of Mathematical Physics

Author: A. N. Tikhonov,A. A. Samarskii

Publisher: Courier Corporation

ISBN: 0486173364

Category: Science

Page: 800

View: 5312

DIVThorough, rigorous advanced-undergraduate to graduate-level treatment of problems leading to partial differential equations. Hyperbolic, parabolic, elliptic equations; wave propagation in space, heat conduction in space, more. Problems. Appendixes. /div
Mathematics

Putnam and Beyond

Author: Razvan Gelca,Titu Andreescu

Publisher: Springer Science & Business Media

ISBN: 038768445X

Category: Mathematics

Page: 798

View: 5491

Putnam and Beyond 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 in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. 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.
Study Aids

ACT Prep Red Book - 320 Math Problems with Solutions

The Most Effective Strategies Ever Discovered

Author: Steve Warner, Dr.

Publisher: CreateSpace

ISBN: 9781499202021

Category: Study Aids

Page: 170

View: 6023

A study guide for the mathematical portion of the ACT.
Mathematics

Challenging Mathematical Problems with Elementary Solutions

Author: A. M. Yaglom,I. M. Yaglom

Publisher: Courier Corporation

ISBN: 0486318575

Category: Mathematics

Page: 239

View: 3891

Volume I of a two-part series, this book features a broad spectrum of 100 challenging problems related to probability theory and combinatorial analysis. Most can be solved with elementary mathematics. Complete solutions.
Science

Intriguing Mathematical Problems

Author: Oswald Jacoby,William H. Benson

Publisher: Courier Corporation

ISBN: 9780486292618

Category: Science

Page: 191

View: 4743

Treasury of stimulating, challenging brainteasers includes puzzles involving numbers, letters, probability, reasoning, whole numbers, more. The Enterprising Snail, The Fly and the Bicycles, The Lovesick Cockroaches, Mr. Wright and the Insurance Salesman, many others. No advanced math needed. Solutions included.
Mathematics

Fifty Challenging Problems in Probability with Solutions

Author: Frederick Mosteller

Publisher: Courier Corporation

ISBN: 0486134962

Category: Mathematics

Page: 88

View: 9259

Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions.
Mathematics

The green book

100 practice problems for undergraduate mathematics competitions

Author: Kenneth Hardy,Kenneth S. Williams

Publisher: Integer Pr

ISBN: 9780969219309

Category: Mathematics

Page: 173

View: 2113

Mathematics

The Humongous Book of Algebra Problems

Author: W. Michael Kelley

Publisher: Penguin

ISBN: 1436242789

Category: Mathematics

Page: 576

View: 5023

When the numbers just don't add up... Following in the footsteps of the successful The Humongous Books of Calculus Problems, bestselling author Michael Kelley has taken a typical algebra workbook, and made notes in the margins, adding missing steps and simplifying concepts and solutions. Students will learn how to interpret and solve 1000 problems as they are typically presented in algebra courses-and become prepared to solve those problems that were never discussed in class but always seem to find their way onto exams. Annotations throughout the text clarify each problem and fill in missing steps needed to reach the solution, making this book like no other algebra workbook on the market.
Mathematics

A Problem Seminar

Author: D.J. Newman

Publisher: Springer Science & Business Media

ISBN: 1461382149

Category: Mathematics

Page: 113

View: 6365

There was once a bumper sticker that read, "Remember the good old days when air was clean and sex was dirty?" Indeed, some of us are old enough to remember not only those good old days, but even the days when Math was/un(!), not the ponderous THEOREM, PROOF, THEOREM, PROOF, . . . , but the whimsical, "I've got a good prob lem. " Why did the mood change? What misguided educational philoso phy transformed graduate mathematics from a passionate activity to a form of passive scholarship? In less sentimental terms, why have the graduate schools dropped the Problem Seminar? We therefore offer "A Problem Seminar" to those students who haven't enjoyed the fun and games of problem solving. CONTENTS Preface v Format I Problems 3 Estimation Theory 11 Generating Functions 17 Limits of Integrals 19 Expectations 21 Prime Factors 23 Category Arguments 25 Convexity 27 Hints 29 Solutions 41 FORMAT This book has three parts: first, the list of problems, briefly punctuated by some descriptive pages; second, a list of hints, which are merely meant as words to the (very) wise; and third, the (almost) complete solutions. Thus, the problems can be viewed on any of three levels: as somewhat difficult challenges (without the hints), as more routine problems (with the hints), or as a textbook on "how to solve it" (when the solutions are read). Of course it is our hope that the book can be enjoyed on any of these three levels.