Heart of Mathematics An Invitation to Effective Thinking

ISBN-10: 0470413093

ISBN-13: 9780470413098

Edition: 2nd 2005

Authors: Edward B. Burger, Michael Starbird, Mike Starbird

List price: $173.95
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Book details

List price: $173.95
Edition: 2nd
Copyright year: 2005
Publisher: John Wiley & Sons, Incorporated
Publication date: 6/16/2008
Binding: Hardcover
Pages: 760
Size: 7.50" wide x 9.50" long x 1.25" tall
Weight: 3.278
Language: English

But First, a Word from our Sponsors
Surfing the Book
Fun and Games: An Introduction to Rigorous Thought
Silly Stories Each with a Moral
Conundrums that Evoke Techniques of Effective Thinking
Leading Questions and Hints for Resolving the Stories
The Punch Lines
Solutions and Further Commentary
From Play to Power
Discovering Strategies of Thought for Life
Number Contemplation
How the Pigeonhole Principle Leads to Precision Through Estimation
Numberical Patterns in Nature
Discovering the Beauty of the Fibonacci Numbers
Prime Cuts of Numbers
How the Primes Numbers are the Building Blocks of All Natural Numbers
Crazy Clocks and Checking Out Bars
Cyclical Clock Arithmetic and Bar Codes
Public Secret Codes adn How to Become a Spy
Encrypting Information Using Modula Arithmetic and Primes
The Irrational Side of Numbers
Are There Numbers Beyond Fractions?
Get Real
The Point of Decimals and Pinpointing Numbers on the Real Line
Beyond Numbers
What Does Infinity Mean?
Comparing the Infinite
Pairing Up Collections via a One-to-One Corerspondence
The Missing Member
Georg Cantor Answers: Are Some Infinities Larger Than Others?
Geometric Gems
Pythagoras and His Hypotenuse
How a Puzzle Leads to the Proof of one of the Gems of Mathematics
A View of an Art Gallery
Using Computational Geometry to Place Security Cameras in Musuems
The Sexiest Rectangle
Finding Aesthetics in Life, Art, and Math Through the Golden Rectangle
Soothing Symmetry and Spinning Pinwheels
Can a Floor be Tiled without any Repeating Pattern?
The Platonic Solids Turn Amorous
Discovering the Symmetry and Interconnections Among the Platonic Solds
The Shape of Reality?
How Straight Lines Can Bend in Non-Euclidean Geometries
The Fouther Dimension
Can You See It?
Contortions of Space
Rubger Sheet Geometry
Discovering the Topological Idea of Equivalence by Distortion
The Band That Wouldn't Stop Playing
Experimenting with the Mobius Band and Klein Bottle
Feeling Edgy?
Exploring Relationships Among Vertices, Edges, and Faces
Knots and Links
Untangling Ropes and Rings
Fixed Points, Hot Loops, and Rainy Days
How the Certainty of Fixed Points Implies Certain Weather Phenomena
Chaos and Fractals
Viewing a Gallery of Fractals
The Dynamics of Change
Can Change be Modeled by Repeated Applications of Simple Processes?
The Infinitely Detailed Beuty of Fractals
How to Create Workds of Ifinite Intricacy THrough Repeated PRocesses
The Mysterious Art of Imaginary Fractals
Creating Juila and Mandelbrot Sets by Stepping Out in the Complex Plane
Predetermined Chase
How Repeated SImple Processes Result in Utter Chaos
Between Dimnsions
Can the Dimensions of Fractals Fall Through the Cracks?
Taming Uncertainty
Chance Surprises
Some Scenarioos Involving Chance that Confound our Intuition
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