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Vector: A Surprising Story of Space, Time, and Mathematical Transformation
Robyn Arianrhod
Page: 376
Format: pdf, ePub, mobi, fb2
ISBN: 9780226821108
Publisher: University of Chicago Press
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A celebration of the seemingly simple idea that allowed us to imagine the world in new dimensions—sparking both controversy and discovery.
The stars of this book, vectors and tensors, are unlikely celebrities. If you ever took a physics course, the word “vector” might remind you of the mathematics needed to determine forces on an amusement park ride, a turbine, or a projectile. You might also remember that a vector is a quantity that has magnitude and (this is the key) direction. In fact, vectors are examples of tensors, which can represent even more data. It sounds simple enough—and yet, as award-winning science writer Robyn Arianrhod shows in this riveting story, the idea of a single symbol expressing more than one thing at once was millennia in the making. And without that idea, we wouldn’t have such a deep understanding of our world.
Vector and tensor calculus offers an elegant language for expressing the way things behave in space and time, and Arianrhod shows how this enabled physicists and mathematicians to think in a brand-new way. These include James Clerk Maxwell when he ushered in the wireless electromagnetic age; Einstein when he predicted the curving of space-time and the existence of gravitational waves; Paul Dirac, when he created quantum field theory; and Emmy Noether, when she connected mathematical symmetry and the conservation of energy. For it turned out that it’s not just physical quantities and dimensions that vectors and tensors can represent, but other dimensions and other kinds of information, too. This is why physicists and mathematicians can speak of four-dimensional space-time and other higher-dimensional “spaces,” and why you’re likely relying on vectors or tensors whenever you use digital applications such as search engines, GPS, or your mobile phone.
In exploring the evolution of vectors and tensors—and introducing the fascinating people who gave them to us—Arianrhod takes readers on an extraordinary, five-thousand-year journey through the human imagination. She shows the genius required to reimagine the world—and how a clever mathematical construct can dramatically change discovery’s direction.
An Introduction to General Relativity - SPACETIME
It describes one of the most pervasive features of the world we experience-gravitation—in terms of an elegant mathematical structure--the differential geometry
Vector: A Surprising Story of Space, Time, and
Vector: A Surprising Story of Space, Time, and Mathematical Transformation. By Robyn Arianrhod. About this book · Get Textbooks on Google Play. Rent and save
Vector by Robyn Arianrhod
Vector: A Surprising Story of Space, Time, and Mathematical Transformation (Hardback) A celebration of the seemingly simple idea that allowed us to imagine
Large language models, explained with a minimum of math
Jul 27, 2023 —
Vector: A Surprising Story of Space, Time, and
Description. A celebration of the seemingly simple idea that allowed us to imagine the world in new dimensions—sparking both controversy and discovery.
VECTOR BUNDLES AND CONNECTIONS IN PHYSICS
famous address of Minkowski in which spacetime occurs for the first time as a mathematical and physical construct. 8. It is not surprising therefore that
《矢量：关于空间、时间和数学变换的惊奇故事》VECTOR
Jan 14, 2024 —
Browse Books: Mathematics / Vector Analysis
Vector: A Surprising Story of Space, Time, and Mathematical Transformation (Hardcover). By Robyn Arianrhod. $28.00. Coming Soon - Available for Pre-Order Now.
Browse Books: Mathematics / Vector Analysis
Vector: A Surprising Story of Space, Time, and Mathematical Transformation (Hardcover). By Robyn Arianrhod. $28.00. Add to Cart Add to Wish List. Coming Soon
Vector: A Surprising Story of Space, Time, and Mathematical
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