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A Classroom-Tested, Alternative Approach to Teaching Math for Liberal Arts Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking uses puzzles and paradoxes to introduce basic principles of mathematical thought. The text is designed for students in liberal arts mathematics courses. Decision-making situations that progress
Book Synopsis Puzzles, Paradoxes, and Problem Solving by : Marilyn A. Reba
Download or read book Puzzles, Paradoxes, and Problem Solving written by Marilyn A. Reba and published by CRC Press. This book was released on 2014-12-15 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Classroom-Tested, Alternative Approach to Teaching Math for Liberal Arts Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking uses puzzles and paradoxes to introduce basic principles of mathematical thought. The text is designed for students in liberal arts mathematics courses. Decision-making situations that progress
No amateur or math authority can be without this ultimate compendium of classic puzzles, paradoxes, and puzzles from America's best-loved mathematical expert. 320 line drawings.
Book Synopsis Colossal Book of Mathematics by : Martin Gardner
Download or read book Colossal Book of Mathematics written by Martin Gardner and published by W. W. Norton & Company. This book was released on 2001 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: No amateur or math authority can be without this ultimate compendium of classic puzzles, paradoxes, and puzzles from America's best-loved mathematical expert. 320 line drawings.
A Classroom-Tested, Alternative Approach to Teaching Math for Liberal Arts Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking uses puzzles and paradoxes to introduce basic principles of mathematical thought. The text is designed for students in liberal arts mathematics courses. Decision-making situations that progress from recreational problems to important contemporary applications develop the critical-thinking skills of non-science and non-technical majors. The logical underpinnings of this textbook were developed and refined throughout many years of classroom feedback and in response to commentary from presentations at national conferences. The text’s five units focus on graphs, logic, probability, voting, and cryptography. The authors also cover related areas, such as operations research, game theory, number theory, combinatorics, statistics, and circuit design. The text uses a core set of common representations, strategies, and algorithms to analyze diverse games, puzzles, and applications. This unified treatment logically connects the topics with a recurring set of solution approaches. Requiring no mathematical prerequisites, this book helps students explore creative mathematical thinking and enhance their own critical-thinking skills. Students will acquire quantitative literacy and appreciation of mathematics through the text’s unified approach and wide range of interesting applications.
Book Synopsis Puzzles, Paradoxes, and Problem Solving by : Marilyn A. Reba
Download or read book Puzzles, Paradoxes, and Problem Solving written by Marilyn A. Reba and published by CRC Press. This book was released on 2014-12-15 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Classroom-Tested, Alternative Approach to Teaching Math for Liberal Arts Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking uses puzzles and paradoxes to introduce basic principles of mathematical thought. The text is designed for students in liberal arts mathematics courses. Decision-making situations that progress from recreational problems to important contemporary applications develop the critical-thinking skills of non-science and non-technical majors. The logical underpinnings of this textbook were developed and refined throughout many years of classroom feedback and in response to commentary from presentations at national conferences. The text’s five units focus on graphs, logic, probability, voting, and cryptography. The authors also cover related areas, such as operations research, game theory, number theory, combinatorics, statistics, and circuit design. The text uses a core set of common representations, strategies, and algorithms to analyze diverse games, puzzles, and applications. This unified treatment logically connects the topics with a recurring set of solution approaches. Requiring no mathematical prerequisites, this book helps students explore creative mathematical thinking and enhance their own critical-thinking skills. Students will acquire quantitative literacy and appreciation of mathematics through the text’s unified approach and wide range of interesting applications.
Do all problems have solutions? Is complexity synonymous with difficulty? This original collection of mathematical puzzles and paradoxes proves that things aren't always what they seem! Readers will discover that nothing is as easy or as difficult as it looks and that puzzles can have one, several, or no solutions. The fun-filled puzzles begin with The Tricky Hole, a challenge that involves pushing a large coin through a small hole in a sheet of paper without ripping or making any cuts in the paper. Advance to the Elastic Playing Card, in which it's possible to cut a hole into a playing card big enough for someone to climb through. Other incredible puzzles include Elephants and Castles, Trianglized Kangaroo, Honest Dice and Logic Dice, Mind-reading Powers, and dozens more. Complete solutions explain the mathematical realities behind the fantastic-sounding challenges.
Book Synopsis Impossible Folding Puzzles and Other Mathematical Paradoxes by : Gianni A. Sarcone
Download or read book Impossible Folding Puzzles and Other Mathematical Paradoxes written by Gianni A. Sarcone and published by Courier Corporation. This book was released on 2014-02-20 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do all problems have solutions? Is complexity synonymous with difficulty? This original collection of mathematical puzzles and paradoxes proves that things aren't always what they seem! Readers will discover that nothing is as easy or as difficult as it looks and that puzzles can have one, several, or no solutions. The fun-filled puzzles begin with The Tricky Hole, a challenge that involves pushing a large coin through a small hole in a sheet of paper without ripping or making any cuts in the paper. Advance to the Elastic Playing Card, in which it's possible to cut a hole into a playing card big enough for someone to climb through. Other incredible puzzles include Elephants and Castles, Trianglized Kangaroo, Honest Dice and Logic Dice, Mind-reading Powers, and dozens more. Complete solutions explain the mathematical realities behind the fantastic-sounding challenges.
What makes these puzzles so special? Not only does each one illustrate some of the most classic theories in math, logic, and perception, but they're eye-catching too. Stare at brilliantly hued concentric circles, inspired by the "video active" paintings of the Parisian artist Isia Leviant; if you continue to look long enough, a spinning white blur will appear. Or imagine that you have a drawerful of socks in different colors--7 red, 7 yellow, and 7 green pairs. If you pulled some out in complete darkness, how many would you have to take before you'd be sure of having a pair in each color? Or solve word puzzles, paradoxes, and the mystery of the rolling photo cube.
Book Synopsis Peerless Probability Problems and Other Puzzles by : Ivan Moscovich
Download or read book Peerless Probability Problems and Other Puzzles written by Ivan Moscovich and published by Sterling Publishing Company, Inc.. This book was released on 2006 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: What makes these puzzles so special? Not only does each one illustrate some of the most classic theories in math, logic, and perception, but they're eye-catching too. Stare at brilliantly hued concentric circles, inspired by the "video active" paintings of the Parisian artist Isia Leviant; if you continue to look long enough, a spinning white blur will appear. Or imagine that you have a drawerful of socks in different colors--7 red, 7 yellow, and 7 green pairs. If you pulled some out in complete darkness, how many would you have to take before you'd be sure of having a pair in each color? Or solve word puzzles, paradoxes, and the mystery of the rolling photo cube.
Algorithmic puzzles are puzzles involving well-defined procedures for solving problems. This book will provide an enjoyable and accessible introduction to algorithmic puzzles that will develop the reader's algorithmic thinking. The first part of this book is a tutorial on algorithm design strategies and analysis techniques. Algorithm design strategies — exhaustive search, backtracking, divide-and-conquer and a few others — are general approaches to designing step-by-step instructions for solving problems. Analysis techniques are methods for investigating such procedures to answer questions about the ultimate result of the procedure or how many steps are executed before the procedure stops. The discussion is an elementary level, with puzzle examples, and requires neither programming nor mathematics beyond a secondary school level. Thus, the tutorial provides a gentle and entertaining introduction to main ideas in high-level algorithmic problem solving. The second and main part of the book contains 150 puzzles, from centuries-old classics to newcomers often asked during job interviews at computing, engineering, and financial companies. The puzzles are divided into three groups by their difficulty levels. The first fifty puzzles in the Easier Puzzles section require only middle school mathematics. The sixty puzzle of average difficulty and forty harder puzzles require just high school mathematics plus a few topics such as binary numbers and simple recurrences, which are reviewed in the tutorial. All the puzzles are provided with hints, detailed solutions, and brief comments. The comments deal with the puzzle origins and design or analysis techniques used in the solution. The book should be of interest to puzzle lovers, students and teachers of algorithm courses, and persons expecting to be given puzzles during job interviews.
Book Synopsis Algorithmic Puzzles by : Anany Levitin
Download or read book Algorithmic Puzzles written by Anany Levitin and published by OUP USA. This book was released on 2011-10-14 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic puzzles are puzzles involving well-defined procedures for solving problems. This book will provide an enjoyable and accessible introduction to algorithmic puzzles that will develop the reader's algorithmic thinking. The first part of this book is a tutorial on algorithm design strategies and analysis techniques. Algorithm design strategies — exhaustive search, backtracking, divide-and-conquer and a few others — are general approaches to designing step-by-step instructions for solving problems. Analysis techniques are methods for investigating such procedures to answer questions about the ultimate result of the procedure or how many steps are executed before the procedure stops. The discussion is an elementary level, with puzzle examples, and requires neither programming nor mathematics beyond a secondary school level. Thus, the tutorial provides a gentle and entertaining introduction to main ideas in high-level algorithmic problem solving. The second and main part of the book contains 150 puzzles, from centuries-old classics to newcomers often asked during job interviews at computing, engineering, and financial companies. The puzzles are divided into three groups by their difficulty levels. The first fifty puzzles in the Easier Puzzles section require only middle school mathematics. The sixty puzzle of average difficulty and forty harder puzzles require just high school mathematics plus a few topics such as binary numbers and simple recurrences, which are reviewed in the tutorial. All the puzzles are provided with hints, detailed solutions, and brief comments. The comments deal with the puzzle origins and design or analysis techniques used in the solution. The book should be of interest to puzzle lovers, students and teachers of algorithm courses, and persons expecting to be given puzzles during job interviews.
Playing with mathematical riddles can be an intriguing and fun-filled pastime — as popular science writer Martin Gardner proves in this entertaining collection. Puzzlists need only an elementary knowledge of math and a will to resist looking up the answer before trying to solve a problem. Written in a light and witty style, Entertaining Mathematical Puzzles is a mixture of old and new riddles, grouped into sections that cover a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles, and more. The probability section, for example, points out that everything we do, everything that happens around us, obeys the laws of probability; geometry puzzles test our ability to think pictorially and often, in more than one dimension; while topology, among the "youngest and rowdiest branches of modern geometry," offers a glimpse into a strange dimension where properties remain unchanged, no matter how a figure is twisted, stretched, or compressed. Clear and concise comments at the beginning of each section explain the nature and importance of the math needed to solve each puzzle. A carefully explained solution follows each problem. In many cases, all that is needed to solve a puzzle is the ability to think logically and clearly, to be "on the alert for surprising, off-beat angles...that strange hidden factor that everyone else had overlooked." Fully illustrated, this engaging collection will appeal to parents and children, amateur mathematicians, scientists, and students alike, and may, as the author writes, make the reader "want to study the subject in earnest" and explains "some of the inviting paths that wind away from the problems into lusher areas of the mathematical jungle." 65 black-and-white illustrations.
Book Synopsis Entertaining Mathematical Puzzles by : Martin Gardner
Download or read book Entertaining Mathematical Puzzles written by Martin Gardner and published by Courier Corporation. This book was released on 1986-10 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Playing with mathematical riddles can be an intriguing and fun-filled pastime — as popular science writer Martin Gardner proves in this entertaining collection. Puzzlists need only an elementary knowledge of math and a will to resist looking up the answer before trying to solve a problem. Written in a light and witty style, Entertaining Mathematical Puzzles is a mixture of old and new riddles, grouped into sections that cover a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles, and more. The probability section, for example, points out that everything we do, everything that happens around us, obeys the laws of probability; geometry puzzles test our ability to think pictorially and often, in more than one dimension; while topology, among the "youngest and rowdiest branches of modern geometry," offers a glimpse into a strange dimension where properties remain unchanged, no matter how a figure is twisted, stretched, or compressed. Clear and concise comments at the beginning of each section explain the nature and importance of the math needed to solve each puzzle. A carefully explained solution follows each problem. In many cases, all that is needed to solve a puzzle is the ability to think logically and clearly, to be "on the alert for surprising, off-beat angles...that strange hidden factor that everyone else had overlooked." Fully illustrated, this engaging collection will appeal to parents and children, amateur mathematicians, scientists, and students alike, and may, as the author writes, make the reader "want to study the subject in earnest" and explains "some of the inviting paths that wind away from the problems into lusher areas of the mathematical jungle." 65 black-and-white illustrations.
This book is an introduction to The Metaphysicist, a special sectionof the Information Philosopher website, a work in progress on someclassical questions in philosophy that 20th-century logical positivistsand analytic language philosophers dis-solved as pseudo-problems.The Metaphysicist analyzes the information content in twentyclassic problems in metaphysics - Abstract Entities, Being andBecoming, Causality, Chance, Change, Coinciding Objects,Composition (Parts and Wholes), Constitution, Free Will orDeterminism, God and Immortality, Identity, Individuation,Mind-Body Problem, Modality, Necessity or Contingency,Persistence, Possibility and Actuality, Space and Time, Truth,Universals, Vagueness, and the 20th-century problem of WaveParticleDuality.The Metaphysicist also includes pages on the classic paradoxes andpuzzles used for millennia to wrestle with these metaphysical problemsThe Debtor's Paradox, Dion and Theon, The GrowingArgument, The Infinite Regress, The Problem of the Many,The Ship of Theseus, The Sorites Puzzle, The Statue and theClay, and Tibbles, the Cat.Information philosophy is a new philosophical methodology thatgoes "beyond logic and language" to the underlying informationstructures in the cosmos, in the world, in biological systems, andin the human mind - structures without which logic, language, andscience would be impossible.416 pages, 6 figures, index, bibliography.
Book Synopsis Metaphysics by : Bob Doyle
Download or read book Metaphysics written by Bob Doyle and published by I-Phi Press. This book was released on 2016-09-15 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to The Metaphysicist, a special sectionof the Information Philosopher website, a work in progress on someclassical questions in philosophy that 20th-century logical positivistsand analytic language philosophers dis-solved as pseudo-problems.The Metaphysicist analyzes the information content in twentyclassic problems in metaphysics - Abstract Entities, Being andBecoming, Causality, Chance, Change, Coinciding Objects,Composition (Parts and Wholes), Constitution, Free Will orDeterminism, God and Immortality, Identity, Individuation,Mind-Body Problem, Modality, Necessity or Contingency,Persistence, Possibility and Actuality, Space and Time, Truth,Universals, Vagueness, and the 20th-century problem of WaveParticleDuality.The Metaphysicist also includes pages on the classic paradoxes andpuzzles used for millennia to wrestle with these metaphysical problemsThe Debtor's Paradox, Dion and Theon, The GrowingArgument, The Infinite Regress, The Problem of the Many,The Ship of Theseus, The Sorites Puzzle, The Statue and theClay, and Tibbles, the Cat.Information philosophy is a new philosophical methodology thatgoes "beyond logic and language" to the underlying informationstructures in the cosmos, in the world, in biological systems, andin the human mind - structures without which logic, language, andscience would be impossible.416 pages, 6 figures, index, bibliography.
Presents a collection of visual challenges, riddles, and puzzles.
Book Synopsis 1,000 Playthinks by : Ivan Moscovich
Download or read book 1,000 Playthinks written by Ivan Moscovich and published by Workman Publishing. This book was released on 2001 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a collection of visual challenges, riddles, and puzzles.
Collection of 100 of the best submissions to a math puzzle column features problems in engineering situations, logic, number theory, and geometry. Most solutions include details of several different methods.
Book Synopsis Ingenious Mathematical Problems and Methods by : Louis A. Graham
Download or read book Ingenious Mathematical Problems and Methods written by Louis A. Graham and published by Courier Corporation. This book was released on 2013-04-10 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of 100 of the best submissions to a math puzzle column features problems in engineering situations, logic, number theory, and geometry. Most solutions include details of several different methods.
