Puzzles Paradoxes And Problem Solving
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Puzzles Paradoxes And Problem Solving
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Author : Marilyn A. Reba
language : en
Publisher: CRC Press
Release Date : 2014-12-15
Puzzles Paradoxes And Problem Solving written by Marilyn A. Reba and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-15 with Mathematics categories.
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.
Puzzles Paradoxes And Problem Solving
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Author : Marilyn A. Reba
language : en
Publisher: CRC Press
Release Date : 2014-12-15
Puzzles Paradoxes And Problem Solving written by Marilyn A. Reba and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-15 with Mathematics categories.
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
Impossible Folding Puzzles And Other Mathematical Paradoxes
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Author : Gianni A. Sarcone
language : en
Publisher: Courier Corporation
Release Date : 2014-05-25
Impossible Folding Puzzles And Other Mathematical Paradoxes written by Gianni A. Sarcone and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-25 with Games & Activities categories.
Fun-filled, math-based 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.
Why Cats Land On Their Feet
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Author : Mark Levi
language : en
Publisher: Princeton University Press
Release Date : 2012-05-27
Why Cats Land On Their Feet written by Mark Levi and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-27 with Mathematics categories.
How to use physical reasoning to solve surprising paradoxes Ever wonder why cats land on their feet? Or what holds a spinning top upright? Or whether it is possible to feel the Earth's rotation in an airplane? Why Cats Land on Their Feet is a compendium of paradoxes and puzzles that readers can solve using their own physical intuition. And the surprising answers to virtually all of these astonishing paradoxes can be arrived at with no formal knowledge of physics. Mark Levi introduces each physical problem, sometimes gives a hint or two, and then fully explains the solution. Here readers can test their critical-thinking skills against a whole assortment of puzzles and paradoxes involving floating and diving, sailing and gliding, gymnastics, bike riding, outer space, throwing a ball from a moving car, centrifugal force, gyroscopic motion, and, of course, falling cats. Want to figure out how to open a wine bottle with a book? Or how to compute the square root of a number using a tennis shoe and a watch? Why Cats Land on Their Feet shows you how, and all that's required is a familiarity with basic high-school mathematics. This lively collection also features an appendix that explains all physical concepts used in the book, from Newton's laws to the fundamental theorem of calculus.
Metaphysics
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Author : Bob Doyle
language : en
Publisher: I-Phi Press
Release Date : 2016-09-15
Metaphysics written by Bob Doyle and has been published by I-Phi Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-15 with Philosophy categories.
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.
Secrets Of The Paradox
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Author : Micheal D. Winterburn
language : en
Publisher: Troubador Publishing Ltd
Release Date : 2013-08-01
Secrets Of The Paradox written by Micheal D. Winterburn and has been published by Troubador Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-01 with Philosophy categories.
Far from merely recycling what we already know about certain paradoxes, this book breaks entirely new ground by providing what everyone really wants: solutions. The king of all paradoxes is the Liar ('This statement is false.' If it is true, it is false; if it is false, it is true), which in its earliest form is over two and a half thousand years old. Throughout all this time it has resisted every attempt to fully understand it. This work finally unlocks the secrets of the Liar, exposing principles, patterns and formulae that have long lain hidden. Several other important paradoxes also come under the logical searchlight and they too surrender their treasures. Though paradoxes are inherently difficult, this book approaches them in a clear and entertaining manner, using plain English. Secrets of the Paradox is written for the general reader, yet is sufficiently rigorous to satisfy the demands of the professional philosopher. If you relish an intellectual challenge, this book is for you!
Mathematical And Algorithmic Puzzles
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Author : Pramod Ganapathi
language : en
Publisher:
Release Date : 2024-05-29
Mathematical And Algorithmic Puzzles written by Pramod Ganapathi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-29 with Computers categories.
This book presents serious mathematical and algorithmic puzzles that are mostly counterintuitive. The presented puzzles are simultaneously entertaining, challenging, intriguing, and haunting. This book introduces its readers to counterintuitive mathematical ideas and revolutionary algorithmic insights from a wide variety of topics. The presented solutions that are discovered by many mathematicians and computer scientists are highly counterintuitive and show supreme mathematical beauty. These counterintuitive solutions are intriguing to the degree that they shatter our preconceived notions, shake our long-held belief systems, debunk our fundamental intuitions, and finally rob us of sleep and haunt us for a lifetime. Multiple ways of attacking the same puzzle are presented which teach the application of elegant problem-solving strategies.
Entertaining Mathematical Puzzles
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Author : Martin Gardner
language : en
Publisher: Courier Corporation
Release Date : 1986-10
Entertaining Mathematical Puzzles written by Martin Gardner and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-10 with Juvenile Nonfiction categories.
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.
Thinking Matters Critical Thinking As Creative Problem Solving
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Author : Gary R Mar
language : en
Publisher: World Scientific
Release Date : 2021-08-10
Thinking Matters Critical Thinking As Creative Problem Solving written by Gary R Mar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-10 with Education categories.
The ancient Roman orator Horace (65 B.C.-8 B.C.) wrote, 'Control your mind or it will control you.' In today's society we are faced with more information, and more complex information, than ever. Faced with making decisions, we can feel overwhelmed and helpless. One way to become less helpless — to gain control over our lives — is to gain control over our own thinking. We can feel helpless when faced with this barrage of information, opinions, data, and conflicting arguments if we lack the skills to quickly grasp and critically evaluate them. This book is designed to impart these kinds of skills.Any course in a university should do more than teach information — in nearly every field, 'facts' become obsolete quickly. The goals of Thinking Matters are to help you: The text is punctuated with exercises or 'personal experiments' to challenge and stimulate your curiosity. These exercises may take the form of an inventory to be taken, a puzzle to be solved, or some thoughts to ponder.The first module Thinking Matters: Critical Thinking as Creative Problem Solving introduces the student to all the above topics — logic, probability, argument forms and fallacies, ethical reasoning, algorithms, and computational thinking — through logic puzzles and games and mathematical magic tricks.
Paradox Lost
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Author : Michael Huemer
language : en
Publisher: Palgrave Macmillan
Release Date : 2018-07-09
Paradox Lost written by Michael Huemer and has been published by Palgrave Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-09 with Philosophy categories.
Paradox Lost covers ten of philosophy’s most fascinating paradoxes, in which seemingly compelling reasoning leads to absurd conclusions. The following paradoxes are included: The Liar Paradox, in which a sentence says of itself that it is false. Is the sentence true or false? The Sorites Paradox, in which we imagine removing grains of sand one at a time from a heap of sand. Is there a particular grain whose removal converts the heap to a non-heap? The Puzzle of the Self-Torturer, in which a series of seemingly rational choices has us accepting a life of excruciating pain, in exchange for millions of dollars. Newcomb’s Problem, in which we seemingly maximize our expected profit by taking an unknown sum of money, rather than taking the same sum plus $1000. The Surprise Quiz Paradox, in which a professor finds that it is impossible to give a surprise quiz on any particular day of the week . . . but also that if this is so, then a surprise quiz can be given on any day. The Two Envelope Paradox, in which we are asked to choose between two indistinguishable envelopes, and it is seemingly shown that each envelope is preferable to the other. The Ravens Paradox, in which observing a purple shoe provides evidence that all ravens are black. The Shooting Room Paradox, in which a deadly game kills 90% of all who play, yet each individual’s survival turns on the flip of a fair coin. Each paradox is clearly described, common mistakes are explored, and a clear, logical solution offered. Paradox Lost will appeal to professional philosophers, students of philosophy, and all who love intellectual puzzles.