The Möbius Strip Topology
eBook - ePub

The Möbius Strip Topology

History, Science, and Applications in Nanotechnology, Materials, and the Arts

  1. 886 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

The Möbius Strip Topology

History, Science, and Applications in Nanotechnology, Materials, and the Arts

About this book

In the 19th century, pure mathematics research reached a climax in Germany, and Carl Friedrich Gauss (1777–1855) was an epochal example. August Ferdinand Möbius (1790–1868) was his doctoral student whose work was profoundly influenced by him. In the 18th century, it had been mostly the French school of applied mathematics that enabled the rapid developments of science and technology in Europe. How could this shift happen? It can be argued that the major reasons were the devastating consequences of the Napoleonic Wars in Central Europe, leading to the total defeat of Prussia in 1806. Immediately following, far-reaching reforms of the entire state system were carried out in Prussia and other German states, also affecting the educational system. It now guaranteed freedom of university teaching and research. This attracted many creative people with new ideas enabling the "golden age" of pure mathematics and fundamental theory in physical sciences.

Möbius' legacy reaches far into today's sciences, arts, and architecture. The famous one-sided Möbius strip is a paradigmatic example of the ongoing fascination with mathematical topology. This is the first book to present numerous detailed case studies on Möbius topology in science and the humanities. It is written for those who believe in the power of ideas in our culture, experts and laymen alike.

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.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
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 1.4M+ 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 million books across 1000+ topics, we’ve got you covered! Learn more here.
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 here.
Yes! You can use the Perlego app on both iOS or 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 The Möbius Strip Topology by Klaus Möbius,Martin Plato,Anton Savitsky in PDF and/or ePUB format, as well as other popular books in Sciences physiques & Biologie. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half Title page
  3. Title Page
  4. Copyright Page
  5. Contents
  6. Acknowledgments
  7. Preface
  8. Introduction
  9. 1. Nineteenth-Century Science Breakthroughs in Europe: Historical Background
  10. 2. A. F. Möbius: The Time of His Early Life and Academic Education (1790–1815)
  11. 3. A. F. Möbius: The Time of His Academic Career (1815–68)
  12. 4. During the Napoleonic Wars in Europe: Eyewitnesses and Victims
  13. 5. Möbius Strip Topology and More: Elaborations on Mathematics
  14. 6. A. F. Möbius and His Time: Elaborations on Astronomy
  15. 7. Möbius Strip Topology: Applications from Chemistry
  16. 8. The Möbius Strip Topology: Applications from Physics and Nanomaterials
  17. 9 Möbius Strip Topology: Highlights from the Arts and Architecture
  18. Index