Einstein's Heroes: Imagining the World Through the Language of MathematicsImagine you are fluent in a magical language of prophecy, a language so powerful it can accurately describe things you cannot see or even imagine. Einstein's Heroes takes you on a journey of discovery about just such a miraculous language—the language of mathematics—one of humanity's most amazing accomplishments. Blending science, history, and biography, this remarkable book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and especially James Clerk Maxwell, whose work directly inspired the theory of relativity. Robyn Arianrhod bridges the gap between science and literature, portraying mathematics as a language and arguing that a physical theory is a work of imagination involving the elegant and clever use of this language. The heart of the book illuminates how Maxwell, using the language of mathematics in a new and radical way, resolved the seemingly insoluble controversy between Faraday's idea of lines of force and Newton's theory of action-at-a-distance. In so doing, Maxwell not only produced the first complete mathematical description of electromagnetism, but actually predicted the existence of the radio wave, teasing it out of the mathematical language itself. Here then is a fascinating look at mathematics: its colorful characters, its historical intrigues, and above all its role as the uncannily accurate language of nature. |
Contents
A Seamless Intertwining | 1 |
A Reluctant Revolutionary | 8 |
Beetles Strings and Sealing Wax | 14 |
The Nature of Physics | 29 |
The Language of Physics | 42 |
Why Newton Held the World in Thrall | 51 |
Rites of Passage | 83 |
A Fledgling Physicist | 96 |
The Magical Synthesis of Algebra and Geometry | 172 |
Maxwells Mathematical Language | 195 |
Maxwells Rainbow | 229 |
A Revolution in Physics | 248 |
Epilogue | 274 |
Appendix | 282 |
Notes and Sources | 284 |
Bibliography | 307 |
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Einstein's Heroes: Imagining the World Through the Language of Mathematics Robyn Arianrhod No preview available - 2014 |
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