Infinite Powers
eBook - ePub

Infinite Powers

How Calculus Reveals the Secrets of the Universe

  1. 400 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Infinite Powers

How Calculus Reveals the Secrets of the Universe

About this book

From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing popular science explanation of calculus—how it works and why it makes our lives immeasurably better. 

Without calculus, we wouldn’t have cell phones, TV, GPS, or ultrasound. We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket.

Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down-to-earth history of science shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real-world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous.

Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math and physics rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn’t miss the moon; how to turn the tide in the fight against AIDS with differential equations.

As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew. 

This is not a textbook; it’s a vibrant history of the brilliant, often flawed, human beings who mastered the language of the universe and harnessed its power.

  • The Infinity Principle: Learn the core strategy of calculus—how to solve complex, real-world problems by breaking them into infinitely many, gloriously simple pieces.
  • The Ancient Greek Origins: Travel back to see how pioneers like Archimedes first wrestled with infinity to find the area of a circle with nothing but sand and a stick.
  • The Newtonian Revolution: Uncover how Isaac Newton cracked the code of the universe, explaining everything from the arc of a cannonball to why Mars sometimes appears to move "backwards" in the sky.
  • The Language of the Universe: See how this form of mathematics became the true language of nature, leading to the discovery of Neptune, the fight against AIDS, and the technologies behind GPS and cell phones.

Trusted by 375,005 students

Access to over 1.5 million titles for a fair monthly price.

Study more efficiently using our study tools.

Information

Publisher
Mariner Books
Year
2019
Print ISBN
9780358299288
eBook ISBN
9781328880017

Index

A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z
Note: Illustrations are indicated by italics

A

Abu Sa’d al-A’la Ibn Sahl, 116
acceleration, 141–42, 172–75, 230–31, 258
Achilles and the Tortoise paradox, 17–19, 17, 162
acquired immune deficiency syndrome (AIDS), 218–25
Adams, Douglas, viii
Adams, John, 239
adequality, 106–7
aeroelastic flutter, 246–47
AIDS, 218–25
air resistance, 69–71
aircraft engineering, 244–47
algebra
al-Khwarizmi, Muhammad Ibn Musa, 92
AlphaInfinity, 292–93, 294
AlphaZero, 292, 293
altimeter, 213–16
American Revolution, 239
Ampère, André-Marie, x–xi
Ampère’s law, xi
amplitude, 109–10, 254
analysis vs synthesis, 102–3
analytic geometry, 101–3
analytic number theory, 228
ancient civilizations
Anderson, Carl, 298
animated movies, 50–53
anti-electron, 298
antimatter,...

Table of contents

  1. Title Page
  2. Contents
  3. Copyright
  4. Introduction
  5. Infinity
  6. The Man Who Harnessed Infinity
  7. Discovering the Laws of Motion
  8. The Dawn of Differential Calculus
  9. The Crossroads
  10. The Vocabulary of Change
  11. The Secret Fountain
  12. Fictions of the Mind
  13. The Logical Universe
  14. Making Waves
  15. The Future of Calculus
  16. Conclusion
  17. Acknowledgments
  18. Illustration Credits
  19. Notes
  20. Bibliography
  21. Index
  22. Sample Chapter from JOY OF X
  23. Buy the Book
  24. About the Author
  25. Connect on Social Media

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn how to download books offline
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.5M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1.5 million books across 990+ topics, we’ve got you covered! Learn about our mission
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more about Read Aloud
Yes! You can use the Perlego app on both iOS and Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app
Yes, you can access Infinite Powers by Steven Strogatz,Strogatz, Steven in PDF and/or ePUB format, as well as other popular books in Mathematics & Military & Maritime History. We have over 1.5 million books available in our catalogue for you to explore.