Schiff J. The Mathematical Universe. From Pythagoras...2020 PDF torrent

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This is a book about the mathematical nature of our Universe. Armed with no more than basic high school mathematics, Dr. Joel L. Schiff takes you on a foray through some of the most intriguing aspects of the world around us. Along the way, you will visit the bizarre world of subatomic particles, honey bees and ants, galaxies, black holes, infinity, and more. Included are such goodies as measuring the speed of light with your microwave oven, determining the size of the Earth with a stick in the ground and the age of the Solar System from meteorites, understanding how the Theory of Relativity makes your everyday GPS system possible, and so much more. These topics are easily accessible to anyone who has ever brushed up against the Pythagorean Theorem and the symbol π, with the lightest dusting of algebra. Through this book, science-curious readers will come to appreciate the patterns, seeming contradictions, and extraordinary mathematical beauty of our Universe.
The Mystery of Mathematics
From Here to Infinity
Imaginary Worlds
Random Universe
Order from Chaos
Mathematics in Space
The Unreality of Reality
The Unknowable Universe
Appendix I Being Reasonable
Appendix II Hyperbolic Geometry and Minkowski Spacetime
Appendix III The Uncountable Real Numbers
Appendix IV c2 = c: Square and Line have Same Cardinality
Appendix V Geometric Series
Appendix VI Cesàro Sums
Appendix VII Rotating a Vector via a Quaternion
Appendix VIII Quaternions q2 = -1
Appendix IX Riemann Zeta Function
Appendix X Random Walk Code
Appendix XI Age of the Solar System
Appendix XII Chelyabinsk Meteoroid
Appendix XIII Logic Gates
Appendix XIV Galaxy Distance via Cepheids
Appendix XV Time Dilation
Appendix XVI Expansion of the Universe