The Red Book of Mathematical Problems

Author: Kenneth S. Williams,Kenneth Hardy
Publisher: Courier Corporation
ISBN: 0486151824
Category: Mathematics
Page: 192
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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.

The Green Book of Mathematical Problems

Author: Kenneth Hardy,Kenneth S. Williams
Publisher: Courier Corporation
ISBN: 0486169456
Category: Mathematics
Page: 184
View: 685

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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.

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: 6837

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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

Solving Mathematical Problems

A Personal Perspective
Author: Terence Tao
Publisher: OUP Oxford
ISBN: 0199205612
Category: Mathematics
Page: 103
View: 1850

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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.

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: 9527

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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.

Problem-Solving Strategies

Author: Arthur Engel
Publisher: Springer Science & Business Media
ISBN: 0387982191
Category: Mathematics
Page: 403
View: 567

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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."

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: 7303

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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.

Worked Problems in Applied Mathematics

Author: Nikola-I Nikolaevich and Lebedev,I. P. Skal?skai?a?,I?A?kov Solomonovich Ufli?a?nd
Publisher: Courier Corporation
ISBN: 9780486637303
Category: Mathematics
Page: 429
View: 6199

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These 566 problems plus answers cover a wide range of topics in an accessible manner, including steady-state harmonic oscillations, Fourier method, integral transforms, curvilinear coordinates, integral equations, and more. 1965 edition.

Problem-Solving Through Problems

Author: Loren C. Larson
Publisher: Springer Science & Business Media
ISBN: 1461254981
Category: Mathematics
Page: 352
View: 1494

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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.

Mathematics and Logic

Author: Mark Kac,Stanislaw M. Ulam
Publisher: Courier Corporation
ISBN: 0486670856
Category: Philosophy
Page: 170
View: 4848

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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."

The Stanford Mathematics Problem Book

With Hints and Solutions
Author: George Polya,Jeremy Kilpatrick
Publisher: Courier Corporation
ISBN: 048631832X
Category: Mathematics
Page: 80
View: 8676

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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.

Challenging Math Problems

Author: Terry Stickels
Publisher: Courier Dover Publications
ISBN: 0486808572
Category: Mathematics
Page: 112
View: 5647

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"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.

Advanced Problems in Mathematics

Preparing for University
Author: Stephen Siklos
Publisher: Open Book Publishers
ISBN: 1783741449
Category: Mathematics
Page: 186
View: 5960

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This book is intended to help students prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Papers). STEP examinations are used by Cambridge colleges as the basis for conditional offers in mathematics and sometimes in other mathematics-related subjects. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on past papers to become accustomed to university-style mathematics. Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. Each question is followed by a comment and a full solution. The comments direct the reader’s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics.

Challenging Mathematical Problems with Elementary Solutions

Author: A. M. Yaglom,I. M. Yaglom
Publisher: Courier Corporation
ISBN: 0486318575
Category: Mathematics
Page: 239
View: 1639

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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.

Fifty Challenging Problems in Probability with Solutions

Author: Frederick Mosteller
Publisher: Courier Corporation
ISBN: 0486134962
Category: Mathematics
Page: 88
View: 5521

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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.

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: 5403

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The Humongous Book of Algebra Problems

Author: W. Michael Kelley
Publisher: Penguin
ISBN: 1436242789
Category: Mathematics
Page: 576
View: 8746

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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.

The Surprising Mathematics of Longest Increasing Subsequences

Author: Dan Romik
Publisher: Cambridge University Press
ISBN: 1107075831
Category: Mathematics
Page: 432
View: 6336

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In a surprising sequence of developments, the longest increasing subsequence problem, originally mentioned as merely a curious example in a 1961 paper, has proven to have deep connections to many seemingly unrelated branches of mathematics, such as random permutations, random matrices, Young tableaux, and the corner growth model. The detailed and playful study of these connections makes this book suitable as a starting point for a wider exploration of elegant mathematical ideas that are of interest to every mathematician and to many computer scientists, physicists and statisticians. The specific topics covered are the Vershik-Kerov–Logan-Shepp limit shape theorem, the Baik–Deift–Johansson theorem, the Tracy–Widom distribution, and the corner growth process. This exciting body of work, encompassing important advances in probability and combinatorics over the last forty years, is made accessible to a general graduate-level audience for the first time in a highly polished presentation.

How Not to be Wrong

The Power of Mathematical Thinking
Author: Jordan Ellenberg
Publisher: Penguin
ISBN: 0143127535
Category: Business & Economics
Page: 480
View: 5349

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"Using the mathematician's method of analyzing life and exposing the hard-won insights of the academic community to the layman, minus the jargon ... Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need"--