{"product_id":"the-mathematical-universe-from-pythagoras-to-planck-9783030506513","title":"The Mathematical Universe: From Pythagoras to","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003ci\u003eI first had a quick look, then I started reading it. I couldn't stop.\u003c\/i\u003e -Gerard 't Hooft (Nobel Prize, in Physics 1999)\u003cbr\u003eThis 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.\u003cbr\u003e      \u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eDedication\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAcknowledgements\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003ePrologue\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003ePreface\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cbr\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e1. The Mystery of Mathematics\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e          Let us be reasonable\u003c\/p\u003e  \u003cp\u003e          All set\u003c\/p\u003e  \u003cp\u003e          Where is Mathematics?\u003c\/p\u003e  \u003cp\u003e          Fine tuning\u003c\/p\u003e  \u003cp\u003e          A blast from the past: Euclid’s geometry\u003c\/p\u003e  \u003cp\u003e          Taking the Fifth further\u003c\/p\u003e  \u003cp\u003e          Pi in the sky\u003c\/p\u003e  \u003cp\u003e          Off to Monte Carlo\u003c\/p\u003e  \u003cp\u003e          Smashed pi\u003c\/p\u003e  \u003cp\u003e          The divine Isoperimetric Inequality\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e2. From Here to Infinity\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e          Zeno’s Paradox\u003c\/p\u003e  \u003cp\u003e          Summing Up\u003c\/p\u003e  \u003cp\u003e          In what Universe is this true?\u003c\/p\u003e  \u003cp\u003e          The power of \u003ci\u003ee\u003c\/i\u003e\u003c\/p\u003e  \u003cp\u003e          Fast money\u003c\/p\u003e  \u003cp\u003e          What is normal?\u003c\/p\u003e            Multiplying \u003ci\u003ead infinitum\u003c\/i\u003e   \u003cp\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e3. Imaginary Worlds\u003c\/b\u003e\u003c\/p\u003e            The Strange Case of                                                   \u003cp\u003e\u003c\/p\u003e            The ‘   ’s have it\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e          The God-like Euler identity\u003c\/p\u003e  \u003cp\u003e          Even more imaginaries – quaternions\u003c\/p\u003e  \u003cp\u003e          But wait, there is more – octonians\u003c\/p\u003e  \u003cp\u003e          The world’s hardest problem – the Riemann Hypothesis     \u003c\/p\u003e  \u003cp\u003e4. Random Universe\u003c\/p\u003e  \u003cp\u003e          Going steady\u003c\/p\u003e  \u003cp\u003e          Brownian Motion\u003c\/p\u003e  \u003cp\u003e          Life is a gamble\u003c\/p\u003e  \u003cp\u003e          The dating game\u003c\/p\u003e            The world of entropy – order to chaos\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e          Information entropy       \u003c\/p\u003e  \u003cp\u003e5. Order from Chaos\u003c\/p\u003e  \u003cp\u003e          Cellular Automata\u003c\/p\u003e  \u003cp\u003e          Life as a game\u003c\/p\u003e  \u003cp\u003e          Infectious disease model – SIR\u003c\/p\u003e  \u003cp\u003e          Mimicking Darwin\u003c\/p\u003e            One-dimensional CA\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e          The whole is greater than the sum of its parts\u003c\/p\u003e  \u003cp\u003e          Bees and termites\u003c\/p\u003e  \u003cp\u003e          … And ants\u003c\/p\u003e  \u003cp\u003e          Bacteria count\u003c\/p\u003e  \u003cp\u003e          A hive of Mathematics: Fibonacci\u003c\/p\u003e  \u003cp\u003e          Dynamical systems\u003c\/p\u003e  \u003cp\u003e          Messrs. Fatou, Julia and Mandelbrot\u003c\/p\u003e  \u003cp\u003e          The fractal Universe\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e6. Mathematics in Space\u003c\/b\u003e\u003c\/p\u003e            Faster than a speeding bullet\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e          Down to Earth\u003c\/p\u003e  \u003cp\u003e          Heavens above\u003c\/p\u003e  \u003cp\u003e          Light-years\u003c\/p\u003e  \u003cp\u003e          The great recession\u003c\/p\u003e  \u003cp\u003e          The Universe is flat\u003c\/p\u003e  \u003cp\u003e          Measuring the invisible: Black holes\u003c\/p\u003e  \u003cp\u003e          A galaxy far, far away\u003c\/p\u003e  \u003cb\u003e7. The Unreality of Reality\u003c\/b\u003e\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e          Miniature Universe\u003c\/p\u003e  \u003cp\u003e          Quantum world\u003c\/p\u003e  \u003cp\u003e          Infinite space\u003c\/p\u003e  \u003cp\u003e          Qubits\u003c\/p\u003e            It is all relative, Albert\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e          That equation\u003c\/p\u003e  \u003cp\u003e          What time is it anyway?\u003c\/p\u003e  \u003cp\u003e          Matters of gravity\u003c\/p\u003e  \u003cp\u003e          Time in motion\u003c\/p\u003e  \u003cp\u003e          Radiation\u003c\/p\u003e  \u003cp\u003e          Symmetry and groups\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e8. The Unknowable Universe\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e          Gödel incompleteness\u003c\/p\u003e  \u003cp\u003e          Halting problem\u003c\/p\u003e  \u003cp\u003e          EMX\u003c\/p\u003e  \u003cp\u003e          Where is it, Dr. Heisenberg?\u003c\/p\u003e  \u003cp\u003e          Summing up\u003c\/p\u003e  \u003cp\u003eAppendix I:                 Being Reasonable\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAppendix II:                \u003c\/b\u003eHyperbolic Geometry and Minkowski Spacetime\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAppendix III:              \u003c\/b\u003eThe Uncountable Real Numbers\u003c\/p\u003e  \u003cp\u003eAppendix IV:              c\u003csup\u003e2\u003c\/sup\u003e = c: Square and Line have Same Cardinality\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAppendix V:                \u003c\/b\u003eGeometric Series\u003cb\u003e\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAppendix VI:              \u003c\/b\u003eCesàro Sums\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAppendix VII:             \u003c\/b\u003eRotating a Vector via a Quaternion\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAppendix VIII:           \u003c\/b\u003eQuaternions \u003ci\u003eq\u003c\/i\u003e\u003csup\u003e2\u003c\/sup\u003e = −1\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAppendix IX:              \u003c\/b\u003eRiemann Zeta Function\u003c\/p\u003e  \u003cp\u003eAppendix X:                Random Walk Code\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAppendix XI:              \u003c\/b\u003eAge of the Solar System\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAppendix XII:             \u003c\/b\u003eChelyabinsk Meteoroid\u003c\/p\u003e  \u003cp\u003eAppendix XIII:           Logic Gates\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAppendix XIV:            \u003c\/b\u003eGalaxy Distance via Cepheids\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAppendix XV:             \u003c\/b\u003eTime Dilation\u003c\/p\u003e  \u003cp\u003eAppendix XVI:           Expansion of the Universe   \u003c\/p\u003e  \u003cp\u003e\u003cb\u003eBibliography\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003eIndex \u003c\/p\u003e  \u003cb\u003e\u003cbr\u003e \u003c\/b\u003e \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49537130135895,"sku":"9783030506513","price":32.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030506513.jpg?v=1731905364","url":"https:\/\/bookcurl.com\/products\/the-mathematical-universe-from-pythagoras-to-planck-9783030506513","provider":"Book Curl","version":"1.0","type":"link"}