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Problem Solving Through Recreational Mathematics by Bonnie Averbach (English) Pa
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Item specifics
- Condition
- ISBN-13
- 9780486409177
- Book Title
- Problem Solving Through Recreational Mathematics
- ISBN
- 9780486409177
About this product
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486409171
ISBN-13
9780486409177
eBay Product ID (ePID)
1058295
Product Key Features
Number of Pages
480 Pages
Publication Name
Problem Solving Through Recreational Mathematics
Language
English
Subject
Decision-Making & Problem Solving, Recreations & Games
Publication Year
1999
Type
Textbook
Subject Area
Mathematics, Education
Series
Dover Math Games and Puzzles Ser.
Format
Trade Paperback
Dimensions
Item Weight
24.9 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Intended Audience
College Audience
LCCN
99-052198
Dewey Edition
21
Illustrated
Yes
Dewey Decimal
510
Table Of Content
Preface; To the Reader; Acknowledgments 1. Following the Clues; Sample problems; Which chart or Diagram to Choose; Presenting a Solution; Some Steps in Problem Solving; Tree Diagrams; The Multiplication Principle; Simplification; The Chapter in Retrospect; Exercises 2. Solve It With Logic; Sample Problems; Statements; Variables and Connectives; Negation; "And"--Conjunction; "Or"--Disjunction; Conditional and Biconditional Statements; Drawing Conclusions; Compound Statements; Logical Implication and Equivalence; Arguments and Validity; The Chapter in Retrospect; Exercises 3. From Words to Equations: Algebraic Recreations; Sample Problems; Introducing Variables; The Chapter in Retrospect; Exercises 4. Solve It With Integers, Some Topics from Number Theory; Sample Problems; Diophantine Equations; Divisibility; Prime Numbers; The Infinitude of Primes; The Sieve of Eratosthenes; More About Primes; Linear Diophantine Equations; Division With Remainders; Congruence; Casting Out Nines; Solving Linear Congruences; Solving Linear Diophantine Equations; The Chapter in Retrospect; Exercises 5. More About Numbers: Bases and Cryptarithmetic; Sample Problems; Positional Notation; Changing Bases; Addition and Multiplication in Other Bases; Cryptarithmetic; The Chapter in Retrospect; Exercises 6. Solve It With Networks: An Introduction to Graph Theory; Sample Problems; Graphs; Eulerian Paths and Circuits; Odd and Even Vertices; More Than Two Odd Vertices; Directed Graphs; Hamiltonian Circuits; The Knight's Tour; Other Applications; Coloring Graphs and Maps; The Chapter in Retrospect; Exercises 7. Games of Strategy for Two Players; Sample problems; Chance-Free Decisionmaking; Games of Perfect Information; Finiteness; The Existence of Winning Strategies; Position--State of the Game; The State Diagram of a Game; How Do We Find a Winning Strategy?; Finding a Winning Strategy by Working Backward; Finding Winning Strategies by Simplifying a Game; Finding Winning Strategies With a Frontal Assault; How Many Possibilities Need Be Considered?; Symmetry as a Limiting Factor; Déjà Vu--We've Seen it Before; The Game of Nim; Pairing Strategies; Variations of a Game; The Chapter in Retrospect; Exercises 8. Solitaire Games and Puzzles; Sample Problems; The Tower of Brahma; Dissection Problems; Polyominoes; Soma; Peg Solitaire; The Fifteen Puzzle; Even and Odd Permutations; Coloring and the 15 Puzzle--A Second Approach; Colored Cubes; Colored Cubes--A Second Approach; The Chapter in Retrospect; Exercises 9. Potpourri; Decimation; Coin Weighing; Shunting; Syllogisms; Grab Bag; The Book in Retrospect Appendix A. Some Basic Algebraic Techniques Appendix B. Mathematical Induction Appendix C. Probability Bibliography; Hints and Solutions; Answers to Selected Problems; Index
Synopsis
Many of the most important mathematical concepts were developed from recreational problems. This book uses problems, puzzles, and games to teach students how to think critically. It emphasizes active participation in problem solving, with emphasis on logic, number and graph theory, games of strategy, and much more. Includes answers to selected problems. Index. 1980 edition., Historically, many of the most important mathematical concepts arose from problems that were recreational in origin. This book takes advantage of that fact, using recreational mathematics -- problems, puzzles and games -- to teach students how to think critically. Encouraging active participation rather than just observation, the book focuses less on mathematical results than on how these results can be applied to thinking about problems and solving them. Each chapter contains a diverse array of problems in such areas as logic, number and graph theory, two-player games of strategy, solitaire games and puzzles, and much more. Sample problems (solved in the text) whet readers' appetites and motivate discussions; practice problems solidify their grasp of mathematical ideas; and exercises challenge them, fostering problem-solving ability. Appendixes contain information on basic algebraic techniques and mathematical inductions, and other helpful addenda include hints and solutions, plus answers to selected problems. An extensive appendix on probability is new to this Dover edition. Free solutions manual available for download at the Dover website., Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. Free solutions manual available for download at the Dover website.
LC Classification Number
QA39.2.A896 2000
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Seller Feedback (1,051,157)
- y***0 (347)- Feedback left by buyer.Past monthVerified purchaseA+++++++seller they gave me a great price and shipped it out immediately and communicated friendly. Shipping was fast and when it arrived it was packaged thoughtfully. The book is brand new and exactly as described. I have come to exect high quality books from them as they are always brand new. I definitely recommend this seller to anyone who wants beautiful books at a great price. Thank you for a great transaction.
- l***r (981)- Feedback left by buyer.Past 6 monthsVerified purchaseA Plus Seller: Transaction Good. Tested Good. Packaged Good. Better than described. Shipping reasonable time. Value contents of book: A Plus. True Life story. From one Autistic person to an other. Right on the money. Jesus Does Talk to People today. Are you listening with a Facilitator and the Spirit guiding, leading, asking Questions? I would not have believed it, until I read it. I have seen it in action. Life Change! Extremely Valuable.
- t***u (125)- Feedback left by buyer.Past 6 monthsVerified purchaseThe book was in excellent condition, quality and appearance excellent as described, and packaged safely in a box very well. Seller shipped immediately and communication and payment transfer was excellent. Great eBayer!!! Price of book was very competitive. A+++++Seed to Harvest by Octavia E. Butler (English) Paperback Book (#396114881909)