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A world-class mathematician and regular contributor to the New York Times hosts a delightful tour of the greatest ideas of math, revealing how it connects to literature, philosophy, law, medicine, art, business, even pop culture in ways we never imagined Did O.J. do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more. Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times , Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline. Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x . Many People Take Math In High School And Promptly Forget Much Of It. But Math Plays A Part In All Of Our Lives All Of The Time, Whether We Know It Or Not. In The Joy Of X, Steven Strogatz Expands On His Hit New York Times Series To Explain The Big Ideas Of Math Gently And Clearly, With Wit, Insight, And Brilliant Illustrations. Whether He Is Illuminating How Often You Should Flip Your Mattress To Get The Maximum Lifespan From It, Explaining Just How Google Searches The Internet, Or Determining How Many People You Should Date Before Settling Down, Strogatz Shows How Math Connects To Every Aspect Of Life. Discussing Pop Culture, Medicine, Law, Philosophy, Art, And Business, Strogatz Is The Math Teacher You Wish Youĺld Had. Whether You Aced Integral Calculus Or Arenĺlt Sure What An Integer Is, Youĺlll Find Profound Wisdom And Persistent Delight In The Joy Of X.--cover. Pt. 1. Numbers. 1. From Fish To Infinity: An Introduction To Numbers, Pointing Out Their Upsides (they're Efficient) As Well As Their Downsides (they're Ethereal) -- 2. Rock Groups: Treating Numbers Concretely--think Rocks--can Make Calculations Less Baffling -- 3. The Enemy Of My Enemy: The Disturbing Concept Of Subtraction, And How We Deal With The Fact That Negative Numbers Seem So Negative -- 4. Commuting: When You Buy Jeans On Sale, Do You Save More Money If The Clerk Applies The Discount After The Tax, Or Before? -- 5. Division And Its Discontents: Helping Verizon Grasp The Difference Between .002 Dollars And .002 Cents -- 6. Location, Location, Location: How The Place-value System For Writing Numbers Brought Arithmetic To The Masses -- Pt. 2. Relationships. 7. The Joy Of X: Arithmetic Becomes Algebra When We Begin Working With Unknowns And Formulas -- 8. Finding Your Roots: Complex Numbers, A Hybrid Of The Imaginary And The Real, Are The Pinnacle Of Number Systems -- 9. My Tub Runneth Over: Turning Peril To Pleasure In Word Problems -- 10. Working Your Quads: The Quadratic Formula May Never Win Any Beauty Contests, But The Ideas Behind It Are Ravishing -- 11. Power Tools: In Math, The Function Of Functions Is To Transform -- Pt. 3. Shapes. 12. Square Dancing: Geometry, Intuition, And The Long Road From Pythagoras To Einstein -- 13. Something From Nothing: Like Any Other Creative Act, Constructing A Proof Begins With Inspiration -- 14. The Conic Conspiracy: The Uncanny Similarities Between Parabolas And Ellipses Suggest Hidden Forces At Work -- 15. Sine Qua Non: Sine Waves Everywhere, From Ferris Wheels To Zebra Stripes -- 16. Take It To The Limit: Archimedes Recognized The Power Of The Infinite And In The Process Laid The Groundwork For Calculus. Pt. 4. Change. 17. Change We Can Believe In: Differential Calculus Can Show You The Best Path From A To B, And Michael Jordan's Dunks Help Explain Why -- 18. It Slices, It Dices: The Lasting Legacy Of Integral Calculus Is A Veg-o-matic View Of The Universe -- 19. All About E: How Many People Should You Date Before Settling Down? Your Grandmother Knows, And So Does The Number E -- 20. Loves Me, Loves Me Not: Differential Equations Made Sense Of Planetary Motion. But The Course Of True Love? Now That's Confusing -- 21. Step Into The Light: A Light Beam Is A Pas De Deux Of Electric And Magnetic Fields, And Vector Calculus Is Its Choreographer -- Pt. 5. Data. 22. The New Normal: Bell Curves Are Out. Fat Tails Are In -- 23. Chances Are: The Improbable Thrills Of Probability Theory -- 24. Untangling The Web: How Google Solved The Zen Riddle Of Internet Search Using Linear Algebra -- Pt. 6. Frontiers. 25. The Loneliest Numbers: Prime Numbers, Solitary And Inscrutable, Space Themselves Apart In Mysterious Ways -- 26. Group Think: Group Theory, One Of The Most Versatile Parts Of Math, Bridges Art And Science -- 27. Twist And Shout: Playing With Möbius Strips And Music Boxes, And A Better Way To Cut A Bagel -- 28. Think Globally: Differential Geometry Reveals The Shortest Route Between Two Points On A Globe Or Any Other Curved Surface -- 29. Analyze This!: Why Calculus, Once So Smug And Cocky, Had To Put Itself On The Couch -- 30. The Hilbert Hotel : An Exploration Of Infinity As This Book, Not Being Infinite, Comes To An End. Steven Strogatz. An Eamon Dolan Book. Includes Bibliographical References And Index. A world-class mathematician and regular contributor to the New York Times hosts a delightful tour of the greatest ideas of math, revealing how it connects to literature, philosophy, law, medicine, art, business, even pop culture in ways we never imagined Did O.J. do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more. Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an aha! moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in p, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times , Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline. Whether you aced integral calculus or arent sure what an integer is, youll find profound wisdom and persistent delight in The Joy of x . Table of Contents......Page 3 Preface......Page 6 Part One NUMBERS......Page 9 1. From Fish to Infinity......Page 10 2. Rock Groups......Page 12 3. The Enemy of My Enemy......Page 18 4. Commuting......Page 25 5. Division and Its Discontents......Page 29 6. Location, Location, Location......Page 34 Part Two RELATIONSHIPS......Page 41 7. The Joy of x......Page 42 8. Finding Your Roots......Page 46 9. My Tub Runneth Over......Page 53 10. Working Your Quads......Page 59 11. Power Tools......Page 65 Part Three SHAPES......Page 70 12. Square Dancing......Page 71 13. Something from Nothing......Page 78 14. The Conic Conspiracy......Page 85 15. Sine Qua Non......Page 95 16. Take It to the Limit......Page 103 Part Four CHANGE......Page 110 17. Change We Can Believe In......Page 111 18. It Slices, It Dices......Page 117 19. All about e......Page 122 20. Loves Me, Loves Me Not......Page 128 21. Step Into the Light......Page 132 Part Five DATA......Page 143 22. The New Normal......Page 144 23. Chances Are......Page 150 24. Untangling the Web......Page 154 Part Six FRONTIERS......Page 160 25. The Loneliest Numbers......Page 161 26. Group Think......Page 168 27. Twist and Shout......Page 176 28. Think Globally......Page 184 29. Analyze This!......Page 191 30. The Hilbert Hotel......Page 201 Acknowledgments......Page 208 Notes......Page 210 Credits......Page 243 Index......Page 244 About the Author......Page 254 "In 2010, award-winning professor Steven Strogatz wrote a series for the New York Times online called "The Elements of Math." It was hugely popular: Each piece climbed the most emailed list and elicited hundreds of comments. Readers begged for more, and Strogatz has now delivered. In this fun, fast-paced book, he offers us all a second chance at math. Each short chapter of The Joy of X provides an "Aha!" moment, starting with why numbers are helpful, and moving on to such topics as shapes, calculus, fat tails, and infinity. Strogatz explains the ideas of math gently and clearly, with wit, insight, and brilliant illustrations. Assuming no knowledge, only curiosity, he shows how math connects to literature, philosophy, law, medicine, art, business, even pop culture and current events. For example, did O.J. do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Strogatz is the math teacher you wish you'd had, and The Joy of X is the book you'll want to give to all your smart and curious friends."-- Provided by publisher "Delightful . . . easily digestible chapters include plenty of helpful examples and illustrations. You'll never forget the Pythagorean theorem again!" —Scientific American Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, insight, and brilliant illustrations. Whether he is illuminating how often you should flip your mattress to get the maximum lifespan from it, explaining just how Google searches the internet, or determining how many people you should date before settling down, Strogatz shows how math connects to every aspect of life. Discussing pop culture, medicine, law, philosophy, art, and business, Strogatz is the math teacher you wish you'd had. Whether you aced integral calculus or aren't sure what an integer is, you'll find profound wisdom and persistent delight in The Joy of x.