Sudoku and number puzzles Books

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Book Synopsis

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Book Synopsis

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Book Synopsis

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Book SynopsisSu Doku - the completely compulsive number-placing puzzle.

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Book SynopsisTaking a page from karate - another Japanese art - each title in the series is graded by colour: White Belt for easy, Green Belt for medium level, Brown Belt for hard, and Black Belt for the super-tough solvers. Each title also contains 300 puzzles.

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Book SynopsisWith a separate sudoku book for every level, this work helps puzzle lovers play this popular game. Taking a page from karate - another Japanese art, each title is graded by colour: White Belt for easy, Green Belt for medium level, Brown Belt for hard, and Black Belt for the super-tough solvers. Each book includes 300 puzzles.

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Book SynopsisSuitable for puzzlers whose eyesight is imperfect, this title presents super-sized sudoku.

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Book SynopsisDo you love Sudoku but want puzzles and a little help? Get a kickstart with this little book which will give you just enough to get you going...Table of Contents : 1. Introduction : 2. Intermediate : 3. Expert : Solutions

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Book SynopsisGet ready to fight your way to the top of the sudoku ranks! Each book in the Martial Arts sudoku series will contain 300 puzzles, with a different blend of variants depending on the difficulty level. White Belt Sudoku Variants will include the most accessible puzzle types at their easiest level.

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Book SynopsisDo you feel like you've solved enough traditional Sudoku, crosswords and logic problems to last a lifetime? Thinh Lai's Puzzle Universe is the second book in an exciting new series for everyone who loves puzzles and wants something fresh! Vietnamese puzzle master Lai Van Duc Thinh has created a series of original puzzle types sure to test the skills of even the most experienced puzzle-solver. Creatively stimulating new puzzles include Bar Code, Elbow Room, Boxing Match, Borderlands and more, each of which come with full instructions on how to solve them, as well as a variety of difficulty levels to aid in your progression. Table of Contents0

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Book SynopsisFrom rainbows, river meanders, and shadows to spider webs, honeycombs, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature.Trade ReviewWinner of the 2003 for Professional/Scholarly Award in Mathematics and Statistics, Association of American Publishers One of Choice's Outstanding Academic Titles for 2004 "Mathematics in Nature is an excellent resource for bringing a greater variety of patterns into the mathematical study of nature, as well as for teaching students to think about describing natural phenomena mathematically... [T]he breadth of patterns studied is phenomenal."--Will Wilson, American Scientist "John Adam has combined his interest in the great outdoors and applied mathematics to compile one surprising example after another of how mathematics can be used to explain natural phenomena. And what examples! ... [He] has done a great deal of reading and exposition, indulging his passions to create this compilation of mathematical models of natural phenomena, and the sheer number of examples he manages to cram into this book is testament to his efforts. There are other texts on the market which explore the connection between mathematics and nature ... but none this wide-ranging."--Steven Morics, MAA Online "Adam has laced his mathematical models with popular descriptions of the phenomena selected... Mathematics in Nature can accordingly be read for pleasure and instruction by the select laity who are not afraid of reading between the lines of equations."--Philip J. Davis, SIAM News "John Adam's quest is a very simple one: that is, to invite one to look around and observe the wonders of nature, both natural and biological; to ponder them; and to try to explain them at various levels with, for the most part, quite elementary mathematical concepts and techniques."--Brian D. Sleeman, Notices of the American Mathematical Association "Reading this book progressively creates a course in mathematical modeling built around familiar, tangible, human-scale examples, with a trajectory that takes readers from dimensional estimates through geometrical modeling, linear and nonlinear dynamics, to pattern formation."--Choice "John Adam's Mathematics in Nature illustrates how, in a friendly and lucid manner, mathematicians think about nature. Adam lets us see how mathematics is not only an ally, but is perhaps the very language that nature uses to express the beautiful... This is a book that will challenge while it intrigues and excites."--Stanley David Gedzelman, Weatherwise "Although Mathematics in Nature has not been written as a textbook, availability of such a manual shall help instructors who choose this delightful book for teaching a course in applied mathematics or mathematical modeling."--Yuri V. Rogovchenko, Zentralblatt Math "Spanning a range of mathematical levels, this book can be used as an undergraduate textbook, a source of high school math enrichment, or can be read for pleasure by folks with an appreciation of nature but without advanced mathematical background."--Southeastern NaturalistTable of ContentsPreface: The motivation for the book; Acknowledgments; Credits xiii Prologue: Why I Might Never Have Written This Book xxi CHAPTER ONE: The Confluence of Nature and Mathematical Modeling 1 CHAPTER TWO: Estimation: The Power of Arithmetic in Solving Fermi Problems 17 CHAPTER THREE: Shape, Size, and Similarity: The Problem of Scale 31 CHAPTER FOUR: Meteorological Optics I: Shadows, Crepuscular Rays, and Related Optical Phenomena 57 CHAPTER FIVE: Meteorological Optics II: A "Calculus I" Approach to Rainbows, Halos, and Glories 80 CHAPTER SIX: Clouds, Sand Dunes, and Hurricanes 118 CHAPTER SEVEN: (Linear) Waves of All Kinds 139 CHAPTER EIGHT: Stability 173 CHAPTER NINE: Bores and Nonlinear Waves 194 CHAPTER TEN: The Fibonacci Sequence and the Golden Ratio 213 CHAPTER ELEVEN: Bees, Honeycombs, Bubbles, and Mud Cracks 231 CHAPTER TWELVE: River Meanders, Branching Patterns, and Trees 254 CHAPTER THIRTEEN: Bird Flight 295 CHAPTER FOURTEEN: HowDid the Leopard Get Its Spots? 309 APPENDIX: Fractals: An Appetite Whetter... 336 BIBLIOGRAPHY 341 INDEX 357

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Book SynopsisHow does mathematics enable us to send pictures from space back to Earth? Where does the bell-shaped curve come from? Drawing on areas of mathematics from probability theory, number theory, and geometry, this work highlights how ideas, mostly from pure math, can answer these questions. It includes puzzles and problems of varying difficulty.Trade ReviewOne of Choice's Outstanding Academic Titles for 2004 "Keith Ball demonstrated that though math may not be laugh-out-loud hilarious, it is deeply and gloriously satisfying... Ball's style is pacy and informal, and he does far more than just show off polished results. This is math with the hood up and the engine running."--Ben Longstaff, New Scientist "A recreational math book with enough heft to give its intended audience a series of mental workouts, ranging from the rough equivalent of a stroll to the corner mailbox to a hard mile run. The writing style is open and engaging."--Choice "A gem... Each topic is taken up in a setting that immediately generates interest ... Ball's achievement is to have come up with a selection of topics which are fresh and unusual... It is a pleasure to report that the book is written in limpid, graceful, elegant English prose--nowadays a nearly vanished species."--Stacy G. Langton, MAA Online "The author's writing style is informal, inviting, and clear... This book gives a lively and carefully written treatment of a number of interesting topics... The range of topics is wide, so even the experienced mathematician may learn something new."--Harold R. Parks, Notices of the American Mathematical Society "[I]f you salivate at the thought of working those calculations, then run don't walk to the bookshop--for once they've produced a book just for you."--Peter Spitz, Popular ScienceTable of ContentsPreface xi Acknowledgements xiii Chapter One Shannon's Free Lunch 1 1.1 The ISBN Code 1 1.2 Binary Channels 5 1.3 The Hunt for Good Codes 7 1.4 Parity-Check Construction 11 1.5 Decoding a Hamming Code 13 1.6 The Free Lunch Made Precise 19 1.7 Further Reading 21 1.8 Solutions 22 Chapter Two Counting Dots 25 2.1 Introduction 25 2.2 Why Is Pick's Theorem True?27 2.3 An Interpretation 31 2.4 Pick's Theorem and Arithmetic 32 2.5 Further Reading 34 2.6 Solutions 35 Chapter Three Fermat's Little Theorem and Infinite Decimals 41 3.1 Introduction 41 3.2 The Prime Numbers 43 3.3 Decimal Expansions of Reciprocals of Primes 46 3.4 An Algebraic Description of the Period 48 3.5 The Period Is a Factor of p 150 3.6 Fermat's Little Theorem 55 3.7 Further Reading 56 3.8 Solutions 58 Chapter Four Strange Curves 63 4.1 Introduction 63 4.2 A Curve Constructed Using Tiles 65 4.3 Is the Curve Continuous? 70 4.4 Does the Curve Cover the Square? 71 4.5 Hilbert's Construction and Peano's Original 73 4.6 A Computer Program 75 4.7 A Gothic Frieze 76 4.8 Further Reading 79 4.9 Solutions 80 Chapter Five Shared Birthdays, Normal Bells 83 5.1 Introduction 83 5.2 What Chance of a Match? 84 5.3 How Many Matches? 89 5.4 How Many People Share? 91 5.5 The Bell-Shaped Curve 93 5.6 The Area under a Normal Curve 100 5.7 Further Reading 105 5.8 Solutions 106 Chapter Six Stirling Works 109 6.1 Introduction 109 6.2 A First Estimate for n 110 6.3 A Second Estimate for n 114 6.4 A Limiting Ratio 117 6.5 Stirling's Formula 122 6.6 Further Reading 124 6.7 Solutions 125 Chapter Seven Spare Change, Pools of Blood 127 7.1 Introduction 127 7.2 The Coin-Weighing Problem 128 7.3 Back to Blood 131 7.4 The Binary Protocol for a Rare Abnormality 134 7.5 A Refined Binary Protocol 139 7.6 An Eficiency Estimate Using Telephones 141 7.7 An Eficiency Estimate for Blood Pooling 144 7.8 A Precise Formula for the Binary Protocol 147 7.9 Further Reading 149 7.10 Solutions 151 Chapter Eight Fibonacci's Rabbits Revisited 153 8.1 Introduction 153 8.2 Fibonacci and the Golden Ratio 154 8.3 The Continued Fraction for the Golden Ratio 158 8.4 Best Approximations and the Fibonacci Hyperbola 161 8.5 Continued Fractions and Matrices 165 8.6 Skipping down the Fibonacci Numbers 169 8.7 The Prime Lucas Numbers 174 8.8 The Trace Problem 178 8.9 Further Reading 181 8.10 Solutions 182 Chapter Nine Chasing the Curve 189 9.1 Introduction 189 9.2 Approximation by Rational Functions 193 9.3 The Tangent 202 9.4 An Integral Formula 207 9.5 The Exponential 210 9.6 The Inverse Tangent 213 9.7 Further Reading 214 9.8 Solutions 215 Chapter Ten Rational and Irrational 219 10.1 Introduction 219 10.2 Fibonacci Revisited 220 10.3 The Square Root of d 223 10.4 The Box Principle 225 10.5 The Numbers e and p 230 10.6 The Irrationality of e 233 10.7 Euler's Argument 236 10.8 The Irrationality of p 238 10.9 Further Reading 242 10.10 Solutions 243 Index 247

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Book SynopsisFocuses on chessboard problems. From the Knight's Tour Problem and Queens Domination to their many variations, this work surveys the well-known problems in this surprisingly fertile area of recreational mathematics. Using visual language of graph theory, it guides the reader to the forefront of research in mathematics.Trade Review"This book is extremely well written and is, no doubt, the best exposition of the connection between the chessboard problems and recreational mathematics. The author surveys all the well-known problems about chess and the chessboard... The problems are treated in depth from their beginnings through to their status today."--Mohammed Aassila, MAA Review "Torus-shaped boards, three-dimensional boards, a shape called the Klein bottle--the simple checkerboard pattern proves to be creatively malleable when Watkins puts his mind to his hobbylike subject. Watkins' invitational tone ensures attention from the finite but enthusiastic audience for mathematical recreation."--Booklist "Watkins offers an excellent invitation to serious mathematics."--Choice "I would be happy to recommend this book to you... The book is an easy and entertaining read that shows numerous paths into various branches of discrete mathematics and graph theory."--Paul J. Campbell, Mathematics Magazine "This is not just about chess, but also the three centuries of 'recreational mathematics' that the game has inspired. From simple questions, such as whether it is possible for a knight to land on each square of the board on its path, Watkins wades into graph theory, the mathematics of three-dimensional chess and even chess on a torus."--Nature Physics "This book is stimulating and very well written. It is admirably clear... Definitely the book is highly recommended and is of much interest. This book is, no doubt, the newly best exposition of the interconnection between amusing recreational mathematics and the interesting chessboard problems. I feel sure that it will be of great use both to students of graph theory, geometry, topology and mathematics, in general, and captivate to scholars, instructors, chess enthusiasts, puzzle devotees, and to those intervening in amusing and recreational mathematics."--Francisco Jose Cano Sevilla, European Mathematical Society "A most enjoyable book that will surely offer new and original avenues for problem solvers of all kinds in need of new techniques, approaches or problems to solve."--Robert Bilinski, CruxTable of ContentsPreface ix Chapter One Introduction 1 Chapter Two Knight's Tours 25 Chapter Three The Knight's Tour Problem 39 Chapter Four Magic Squares 53 Chapter Five The Torus and the Cylinder 65 Chapter Six The Klein Bottle and Other Variations 79 Chapter Seven Domination 95 Chapter Eight Queens Domination 113 Chapter Nine Domination on Other Surfaces 139 Chapter Ten Independence 163 Chapter Eleven Other Surfaces, Other Variations 191 Chapter Twelve Eulerian Squares 213 Chapter Thirteen Polyominoes 223 References 247 Index 251

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