{"product_id":"illustrated-special-relativity-through-its-paradoxes-standard-edition-a-fusion-of-linear-algebra-graphics-and-reality-paperback","title":"Illustrated Special Relativity Through Its Paradoxes: Standard Edition: A Fusion of Linear Algebra, Graphics, and Reality - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eJose' Wudka\u003c\/b\u003e (Author), \u003cb\u003eJohn de Pillis\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e \u003cb\u003eThis accessible work, \u003c\/b\u003e with its plethora of full-color illustrations by the author, shows that linear algebra --- actually, 2x2 matrices --- provide a natural language for special relativity. The book includes an overview of linear algebra with all basic definitions and necessary theorems. There are exercises with hints for each chapter along with supplemental animations at \u003c\/p\u003e\u003cul\u003especial-relativity-illustrated.com.\u003c\/ul\u003e  \u003cp\u003e \u003cb\u003e Since Einstein acknowledged \u003c\/b\u003e his debt to Clerk Maxwell in his seminal 1905 paper introducing the theory of special relativity, we fully develop Maxwell's four equations that unify the theories of electricity, optics, and magnetism. Using just two laboratory measurements, these equations lead to a simple calculation for the frame-independent speed of electromagnetic waves in a vacuum. (\u003ci\u003eMaxwell himself was unaware that light was a special electromagnetic wave.\u003c\/i\u003e) \u003c\/p\u003e \u003cp\u003e \u003cb\u003eBefore analyzing the paradoxes, \u003c\/b\u003e we establish their linear algebraic context. Inertial frames become ( 2-\u003ci\u003edimensional vector spaces\u003c\/i\u003e ) whose ordered spacetime pairs ( \u003ci\u003ex, t\u003c\/i\u003e ) are linked by \"line-of-sight\" linear transformations. These are the Galilean transformations in classical physics, and the Lorentz transformations in the more general relativistic physics. The Lorentz transformation is easily derived once we show how a novel swiveled line theorem, ( \u003ci\u003ea geometric concept\u003c\/i\u003e ) is equivalent to the speed of light being invariant for all observers a ( \u003ci\u003ea physical concept\u003c\/i\u003e ). \u003c\/p\u003e \u003cp\u003e \u003cb\u003eSix paradoxes are all analyzed\u003c\/b\u003e using Minkowski spacetime diagrams. These are (1) The Accommodating Universe paradox, (2) Time and distance asymmetry between frames, (3) The Twin paradox, (4) The Train-Tunnel paradox, (5) The Pea-Shooter paradox, and the lesser known (6) Bug-Rivet paradox. The Bug-Rivet paradox, animated by the author at Special-Relativity-Illustrated.com, presents another proof that rigidity is incompatible with special relativity. \u003c\/p\u003e \u003cp\u003e \u003cb\u003eE = mc\u003csup\u003e2\u003c\/sup\u003e\u003c\/b\u003e finds a simple derivation using only the relativistic addition of speeds ( \u003ci\u003ethe Pea-Shooter paradox \u003c\/i\u003e ), conservation of momentum, and a power series. \u003c\/p\u003e \u003cp\u003e \u003cb\u003eFinally, three appendices\u003c\/b\u003e contain the self-contained overview of linear algebra, key properties of hyperbolic functions used to add relativistic speeds graphically, and a deconstruction of a moving train that proves the non-intuitive fact that when a moving train pulls into a station, its front car is always younger than its rear car, even though the front car has been in the station for a longer time. \u003c\/p\u003e \u003cp\u003e Both this standard edition (red cover) and the Deluxe edition (blue cover) contain all the previous topics. \u003c\/p\u003e \u003cp\u003e \u003cb\u003eThe Deluxe edition\u003c\/b\u003e (blue cover) will add 74 pages containing chapters on \u003c\/p\u003e\u003cul\u003e \u003cli\u003e Dimensional Analysis. \u003c\/li\u003e\n\u003cli\u003e Mathematical Rings, which also shows why a minus x minus is positive. \u003c\/li\u003e\n\u003cli\u003e The Scientific Method, a self-correcting intellectual invention. \u003c\/li\u003e\n\u003cli\u003e Mathematical Logic outlines the \"algebraic\" structure of thought. From this we learn that Sherlock Holmes almost never deduced anything  \u003c\/li\u003e\n\u003cli\u003e Early Attempts to Measure the Speed of Light, and how these primitive efforts were uncannily accurate. A bonus in this chapter is a 20-second experiment that allows the reader to measure the speed of light using any kitchen microwave. \u003c\/li\u003e\n\u003c\/ul\u003e \u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eAfter training as a commercial artist, John de Pillis earned a Mechanical Engineering degree from Stevens Institute of Technology. His interests in engineering led him to obtain his Ph.D. in mathematics from the University of California at Berkeley. As Professor of Mathematics at the University of California, Riverside (UCR), he taught numerical analysis, computer science, and CGI. His research took him to Europe where he worked extensively in England, Norway, Germany and Italy in which he became Director of the student exchange program of the University of California. He is also a private pilot and illustrator.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 386\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1 x 10 x 7 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e January 16, 2014\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":45396894416998,"sku":"9780615947655","price":112.28,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0599\/7255\/0758\/files\/bHRKTDYvamc1RTlmUE5nQlM0b01Fdz09.webp?v=1775368016","url":"https:\/\/infinitylightwa.com\/products\/illustrated-special-relativity-through-its-paradoxes-standard-edition-a-fusion-of-linear-algebra-graphics-and-reality-paperback","provider":"Infinity Light","version":"1.0","type":"link"}