Buy The Heart of Mathematics Book by Edward B. Burger
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Home > Mathematics and Science Textbooks > Mathematics > The Heart of Mathematics: An Invitation to Effective Thinking(Key Curriculum Press)
The Heart of Mathematics: An Invitation to Effective Thinking(Key Curriculum Press)

The Heart of Mathematics: An Invitation to Effective Thinking(Key Curriculum Press)


     0     
5
4
3
2
1



Out of Stock


Notify me when this book is in stock
X
About the Book

"The Heart of Mathematics: An Invitation to Effective Thinking" - now in its second edition -succeeds at reaching non-math, non-science-oriented readers and encourages them to discover the mathematics inherent in the world around them. Infused throughout with the authors' humor and enthusiasm, "The Heart of Mathematics" introduces readers to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.

Table of Contents:
But First, a Word from our Sponsors ix Welcome! xi Surfing the Book xv Chapter One: Fun and Games: An Introduction to Rigorous Thought 2 1.1 Silly Stories Each with a Moral 4 Conundrums that Evoke Techniques of Effective Thinking 1.2 Nudges 4 Leading Questions and Hints for Resolving the Stories 1.3 The Punch Lines 18 Solutions and Further Commentary 1.4 From Play to Power 27 Discovering Strategies of Thought for Life Chapter Two: Number Contemplation 38 2.1 Counting 40 How the Pigeonhole Principle Leads to Precision Through Estimation 2.2 Numberical Patterns in Nature 49 Discovering the Beauty of the Fibonacci Numbers 2.3 Prime Cuts of Numbers 64 How the Primes Numbers are the Building Blocks of All Natural Numbers 2.4 Crazy Clocks and Checking Out Bars 82 Cyclical Clock Arithmetic and Bar Codes 2.5 Public Secret Codes adn How to Become a Spy 95 Encrypting Information Using Modula Arithmetic and Primes 2.6 The Irrational Side of Numbers 110 Are There Numbers Beyond Fractions? 2.7 Get Real 121 The Point of Decimals and Pinpointing Numbers on the Real Line Chapter Three: Infinity 136 3.1 Beyond Numbers 138 What Does Infinity Mean? 3.2 Comparing the Infinite 145 Pairing Up Collections via a One-to-One Corerspondence 3.3 The Missing Member 162 Georg Cantor Answers: Are Some Infinities Larger Than Others? Chapter Four: Geometric Gems 206 4.1 Pythagoras and His Hypotenuse 208 How a Puzzle Leads to the Proof of one of the Gems of Mathematics 4.2 A View of an Art Gallery 218 Using Computational Geometry to Place Security Cameras in Musuems 4.3 The Sexiest Rectangle 232 Finding Aesthetics in Life, Art, and Math Through the Golden Rectangle 4.4 Soothing Symmetry and Spinning Pinwheels 249 Can a Floor be Tiled without any Repeating Pattern? 4.5 The Platonic Solids Turn Amorous 269 Discovering the Symmetry and Interconnections Among the Platonic Solds 4.6 The Shape of Reality? 289 How Straight Lines Can Bend in Non-Euclidean Geometries 4.7 The Fouther Dimension 307 Can You See It? Chapter Five: Contortions of Space 326 5.1 Rubger Sheet Geometry 328 Discovering the Topological Idea of Equivalence by Distortion 5.2 The Band That Wouldn't Stop Playing 46 Experimenting with the Mobius Band and Klein Bottle 5.3 Feeling Edgy? 359 Exploring Relationships Among Vertices, Edges, and Faces 5.4 Knots and Links 374 Untangling Ropes and Rings 5.5 Fixed Points, Hot Loops, and Rainy Days 389 How the Certainty of Fixed Points Implies Certain Weather Phenomena Chapter Six: Chaos and Fractals 402 6.1 Images 404 Viewing a Gallery of Fractals 6.2 The Dynamics of Change 412 Can Change be Modeled by Repeated Applications of Simple Processes? 6.3 The Infinitely Detailed Beuty of Fractals 430 How to Create Workds of Ifinite Intricacy THrough Repeated PRocesses 6.4 The Mysterious Art of Imaginary Fractals 458 Creating Juila and Mandelbrot Sets by Stepping Out in the Complex Plane 6.5 Predetermined Chase 482 How Repeated SImple Processes Result in Utter Chaos 6.6 Between Dimnsions 503 Can the Dimensions of Fractals Fall Through the Cracks? Chapter Seven: Taming Uncertainty 514 7.1 Chance Surprises 516 Some Scenarioos Involving Chance that Confound our Intuition 7.2 Predicting the Future in an Uncertain World 523 How to MEasure Uncertainty Using the Idea of Probability 7.3 Random Thoughtss 541 Are Coincidences as Truly Amazing as They First Appear? 7.4 Down for the Count 554 Systematically Counting all Possible Outcomes 7.5 Collecting Data Rather than Dust 571 The Power and Pitfalls fo Statistics 7.6 What the Average American Has 585 Different Means of Describing Data 7.7 Parenting Peas, Twins, and Hypotheses 610 Making Inferences from Data Chapter Eight: Deciding Wisely 628 Applications of Rigorous THinking 8.1 Great Expectations 630 Deciding How to Weigh the Unknown Future 8.2 Risk 645 Deciding Personal and PUblic Policy 8.3 Money matters 663 Deciding Between Faring Well and Welfare 8.4 Peril at the Polls 682 Deciding Who Actually Wins an Election 8.5 Cutting Cake for Greedy People 700 Deciding How to Slice Up Scarce Resources Farewell 716 Acknowledgements: Second Edition 719 Acknowledgements: First Edition 722 Hints and Solutions 725 Index 747 Credits 758


Best Sellers


Product Details
  • ISBN-13: 9780470413098
  • Publisher: John Wiley and Sons Ltd
  • Publisher Imprint: Wiley-Blackwell
  • Edition: Revised edition
  • Language: English
  • Series Title: Key Curriculum Press
  • Sub Title: An Invitation to Effective Thinking
  • Width: 191 mm
  • ISBN-10: 0470413093
  • Publisher Date: 14 Jul 2008
  • Binding: Hardback
  • Height: 241 mm
  • Returnable: N
  • Spine Width: 30 mm
  • Weight: 1344 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
The Heart of Mathematics: An Invitation to Effective Thinking(Key Curriculum Press)
John Wiley and Sons Ltd -
The Heart of Mathematics: An Invitation to Effective Thinking(Key Curriculum Press)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

The Heart of Mathematics: An Invitation to Effective Thinking(Key Curriculum Press)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    Fresh on the Shelf


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!