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              Books published by J Depillis Illustrations

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              Illustrated Special Relativity Through Its Paradoxes: Deluxe Edition: A Fusion of Linear Algebra, Graphics, and Reality
               

              Illustrated Special Relativity Through Its Paradoxes: Deluxe Edition: A Fusion of Linear Algebra, Graphics, and Reality (Trade Paperback / Paperback)

              By Wudka, Jose'; de Pillis, John

              • RRP: $246.99
              • $246.99
              • In Stock US

              This accessible work, 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 special-relativity-illustrated.com. Since Einstein acknowledged 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. ( Maxwell himself was unaware that light was a special electromagnetic wave. ) Before analyzing the paradoxes, we establish their linear algebraic context. Inertial frames become ( 2- dimensional vector spaces ) whose ordered spacetime pairs ( x, t ) 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, ( a geometric concept ) is equivalent to the speed of light being invariant for all observers a ( a physical concept ). Six paradoxes are all analyzed 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. E = mc2 finds a simple derivation using only the relativistic addition of speeds ( the Pea-Shooter
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              ISBN 9780692280591
              Released NZ 21 Aug 2014
              Publisher J Depillis Illustrations
              Interest Age General Audience
              Availability
              Internationally sourced; ships 6-12 working days
              View details for this title
              Illustrated Special Relativity Through Its Paradoxes: Standard Edition: A Fusion of Linear Algebra, Graphics, and Reality
               

              Illustrated Special Relativity Through Its Paradoxes: Standard Edition: A Fusion of Linear Algebra, Graphics, and Reality (Trade Paperback / Paperback)

              By Wudka, Jose'; de Pillis, John

              • RRP: $205.99
              • $205.99
              • In Stock US

              This work shows that linear algebra is a natural language for special relativity. Requiring a minimum of expertise beyond basic matrix theory, the authors use full-color illustrations to introduce inertial frames and Minkowski diagrams that explain the nature of simultaneity, why... faster-than-light travel is impossible, and the proper way to add velocities. We resolve the twin paradox, the train-in-tunnel paradox, the pea-shooter paradox and the lesser-known accommodating universe paradox and the bug-rivet paradox that shows how rigidity is incompatible with special relativity. Since Einstein, in his seminal 1905 paper introducing the theory of special relativity, acknowledged his debt to Clerk Maxwell, we fully develop Maxwell's four equations that unify the theories of electricity, optics, and magnetism.These equations also lead to a simple calculation for the frame-independent speed of electromagnetic waves in a vacuum. (Maxwell himself was unaware that light was a special case of electromagnetic waves.) Several chapters are devoted to early experiments of Roemer, Fizeau, and de Sitter in their efforts to measure the speed of light along with the Michelson-Morley experiment abolishing the necessity of a universal aether. The exposition is thorough, but not overly technical, and bountifully illustrated by cartoons. Supplemental interactive animations are found at Special-Relativity-Illustrated.com. This book is be suitable for a one-semester general-education introduction to special relativity. It is especially well-suited to self-study by interested laypersons or use as a supplement to a more traditional text.
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              ISBN 9780615947655
              Released NZ 16 Jan 2014
              Publisher J Depillis Illustrations
              Interest Age General Audience
              Series Spectrum
              Availability
              Internationally sourced; ships 6-12 working days
              View details for this title
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