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This book will help you discover a few of the treasures of mathematics and give glimpses of the many places mathematics exists.
The evolution of base ten | 2 | |
The Pythagorean Theorem | 4 | |
Optical illusions and computer graphics | 5 | |
The cycloid | 6 | |
A triangle to a square problem | 9 | |
Halley's comet | 10 | |
The impossible tribar | 13 | |
The quipu | 14 | |
Calligraphy, typography and mathematics | 16 | |
The wheat and the chessboard problem | 17 | |
Probability and [pi] | 18 | |
Earthquakes and logarithms | 20 | |
Parabolic ceiling and the Capitol | 22 | |
Computers, counting and electricity | 24 | |
Topo - a mathematical game | 26 | |
Fibonacci sequence | 28 | |
A twist to the Pythagorean Theorem | 30 | |
Trinity of rings-a topological problem | 31 | |
Anatomy and the golden section | 32 | |
Catenary and parabolic curves | 34 | |
The T problem | 35 | |
Thales and the Great Pyramid | 36 | |
Hotel Infinity | 37 | |
Crystals - nature's polyhedra | 38 | |
Pascal's triangle | 40 | |
Mathematics of the billiard table | 42 | |
The electron's path and geometry | 43 | |
The Moebius strip and the Klein bottle | 44 | |
A Sam Loyd puzzle | 47 | |
Mathematics and paperfolding | 48 | |
The Fibonacci trick | 51 | |
The evolution of mathematical symbols | 52 | |
Some geometric designs of Leonardo da Vinci | 55 | |
Ten historic dates | 56 | |
Napoleon's theorem | 57 | |
Lewis Carroll-the mathematician | 58 | |
Counting on fingers | 60 | |
A twist to the Moebius strip | 61 | |
Heron's theorem | 62 | |
A look at Gothic architecture | 63 | |
Napier's bones | 64 | |
Art and projective geometry | 66 | |
Infinity and the circle | 68 | |
The amazing track | 69 | |
Persian horses and Sam Loyd's puzzle | 70 | |
The lunes | 72 | |
Hexagons in nature | 74 | |
The googol and the googolplex | 76 | |
A magic cube | 77 | |
Fractals-real or imaginary | 78 | |
Nanoseconds-measuring time on computers | 80 | |
Geodesic dome of Leonardo da Vinci | 81 | |
Magic squares | 82 | |
A special "magic" square | 87 | |
The Chinese triangle | 88 | |
The death of Archimedes | 89 | |
A non-Euclidean world | 90 | |
Cannon balls and pyramids | 93 | |
Conchoid of Nicomedes | 94 | |
The trefoil knot | 96 | |
The magic square of Benjamin Franklin | 97 | |
Irrational numbers and the Pythagorean Theorem | 98 | |
Prime numbers | 100 | |
The golden rectangle | 102 | |
Making a tri-tetra flexagon | 107 | |
Finding infinity in small places | 108 | |
The five Platonic solids | 110 | |
The pyramid method-making magic squares | 112 | |
The Kepler-Poinsot solids | 113 | |
The false spiral optical illusion | 114 | |
The icosahedron and the golden rectangle | 115 | |
Zeno's paradox-Achilles and the tortoise | 116 | |
The mystic hexagram | 118 | |
The penny puzzle | 119 | |
Tessellations | 120 | |
Diophantus' riddle | 123 | |
The Konigsberg Bridge problem | 124 | |
Networks | 126 | |
Aztec calendar | 128 | |
The impossible trio-three ancient construction problems | 130 | |
Ancient Tibetan magic square | 133 | |
Perimeter, area, and infinite series | 134 | |
The checkerboard problem | 136 | |
Pascal's calculator | 137 | |
Isaac Newton and calculus | 138 | |
Japanese abacus | 139 | |
The proof of 1=2 | 140 | |
The symmetry of crystals | 141 | |
The mathematics of music | 142 | |
Numerical palindromes | 146 | |
The unexpected exam paradox | 147 | |
Babylonian cuneiform text | 148 | |
The spiral of Archimedes | 149 | |
The evolution of mathematical ideas | 150 | |
The four color map problem takes a turn | 152 | |
Art and dynamic symmetry | 154 | |
Transfinite numbers | 156 | |
Logic problem | 159 | |
The snowflake curve | 160 | |
Zero-when and where | 162 | |
Pappus' theorem and the nine coin puzzle | 163 | |
The Japanese magic circle & Gauss' problem | 164 | |
Spherical dome and water distillation | 165 | |
The helix | 166 | |
Magic "line" | 169 | |
Mathematics and architecture | 170 | |
History of optical illusions | 172 | |
Trisecting the equilateral triangle | 174 | |
The wood, water, and grain problem | 175 | |
Charles Babbage, the Leonardo da Vinci of computers | 176 | |
Mathematics and Moslem art | 178 | |
A Chinese magic square | 179 | |
Infinity and limits | 180 | |
Counterfeit coin puzzle | 181 | |
The Parthenon-an optical and mathematical design | 182 | |
Probability and Pascal's triangle | 183 | |
The involute curve | 187 | |
The pentagon, the pentagram, and the golden triangle | 188 | |
Three men facing a wall problem | 190 | |
Geometric fallacy and the Fibonacci sequence | 191 | |
Mazes | 192 | |
Chinese "checkerboards" | 195 | |
Conic sections | 196 | |
The screw of Archimedes | 198 | |
Irradiation optical illusion | 199 | |
The Pythagorean Theorem and President Garfield | 200 | |
The wheel paradox of Aristotole & Galileo's solution | 202 | |
Stonehenge | 203 | |
How many dimensions are there? | 204 | |
Computers and dimensions | 206 | |
The "double" Moebius strip | 207 | |
Paradoxical curve-the space-filling curve | 208 | |
The abacus | 209 | |
Mathematics and weaving | 210 | |
Mersenne's number | 211 | |
The tangram puzzle | 212 | |
Infinite vs finite | 213 | |
Triangular, square, and pentagonal numbers | 214 | |
Eratosthenes measures the Earth | 215 | |
Projective geometry and linear programming | 216 | |
The spider and the fly | 218 | |
Mathematics and soap bubbles | 219 | |
The coin paradox | 220 | |
Hexaminoes | 221 | |
The Fibonacci sequence and nature | 222 | |
The monkey and the coconuts | 226 | |
Spiders and spirals | 228 | |
Solutions | 229 | |
Index | 235 | |
About the author | 241 |
Anonymous
Posted November 30, 2007
Topics are interesting but quality of printing spoils the content and loses the reader attention. Errors in graphics and printing are a real mess. Many of the graphics are pathetic. Should the printing be improved would gladly look at this book again and buy a copy, but don't waste your time now.
2 out of 2 people found this review helpful.
Was this review helpful? Yes NoThank you for your feedback. Report this reviewThank you, this review has been flagged.Anonymous
Posted March 4, 2013
Chapter 19 Marys POV- She woke up. It was saturday. She got up and got dressed. When she walked down stairs she found Malinda cooking a firstclass breakfast. It was totally fancy. I sat down at the high-end table. Malinda gave me the omlet she was baking. "Thanks" I said. "Your welcome sugar" she replied back. Then jason came down. His hair was tangled and his clothes were all wrinkled. But he was still hot. Malinda gave him an omlet. I finished mine quickly. I then got up. "Im thanks for everything jason" i said trying to be polite. "Um.. but I goota run" I finished. "Goodbye mary" he said back. He winked at me. I jumped out the door and ran to my bike. I peddled home as fast as i could. I walked inside the house. My dad was gone for work already. So I was alone. I did some cleaning then went up to my room. I stared out the window listening to music as it began to rain again. Then i saw a car pull up. A shiny red mustang. Jason got out of the car. I opened my window to see what was going on. "Mary!" He yelled. "Yes?" I replied. "I need to tell you something!" He shouted back. "What?" I asked. He paused for a minute. "Do you know why I broke up with wendy?" He aked. "Because shes a brat and bossy" I answered. "Well tats part of it. Can you guess the rest?" He asked. I shook my head. "Because.... because.. i wanted to be with you!" He shouted. I gasped. "I have dreams about you every night Mary" he finished. A smile appeared on my face. "So will you go out with me?" He asked. "Yes!" I shouted happily. He jumped up happily in the air. He then climbed back into his car and drove off.
0 out of 2 people found this review helpful.
Was this review helpful? Yes NoThank you for your feedback. Report this reviewThank you, this review has been flagged.Anonymous
Posted December 13, 2009
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Overview
Part of the joy of mathematics is that it is everywhere-in soap bubbles, electricity, da Vinci's masterpieces, even in an ocean wave. Written by the well-known mathematics teacher consultant, this volume's collection of over 200 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the "real" world. You'll find out what a googol is, visit hotel infinity, read a thorny logic problem that was stumping ...