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Relativity, Gravitation and Cosmology - Ta Pei (department Of Physics And Astronomy Cheng - Bog - Oxford University Press - Plusbog.dk

Relativity, Gravitation and Cosmology - Ta Pei (department Of Physics And Astronomy Cheng - Bog - Oxford University Press - Plusbog.dk

Einstein''s general theory of relativity is introduced in this advanced undergraduate and beginning graduate level textbook. Topics include special relativity, in the formalism of Minkowski''s four-dimensional space-time, the principle of equivalence, Riemannian geometry and tensor analysis, Einstein field equation, as well as many modern cosmological subjects, from primordial inflation and cosmic microwave anisotropy to the dark energy that propels an accelerating universe.The author presents the subject with an emphasis on physical examples and simple applications without the full tensor apparatus. The reader first learns how to describe curved spacetime. At this mathematically more accessible level, the reader can already study the many interesting phenomena such as gravitational lensing, precession of Mercury''s perihelion, black holes, and cosmology. The full tensor formulation is presented later, when the Einstein equation is solved for a few symmetric cases. Many modern topics in cosmology are discussed in this book: from inflation, cosmic microwave anisotropy to the "dark energy" that propels an accelerating universe.Mathematical accessibility, together with the various pedagogical devices (e.g., worked-out solutions of chapter-end problems), make it practical for interested readers to use the book to study general relativity and cosmology on their own.

DKK 412.00
1

A College Course on Relativity and Cosmology - Ta Pei (professor Emeritus Cheng - Bog - Oxford University Press - Plusbog.dk

A College Course on Relativity and Cosmology - Ta Pei (professor Emeritus Cheng - Bog - Oxford University Press - Plusbog.dk

This advanced undergraduate text introduces Einstein''s general theory of relativity. The topics covered include geometric formulation of special relativity, the principle of equivalence, Einstein''s field equation and its spherical-symmetric solution, as well as cosmology. An emphasis is placed on physical examples and simple applications without the full tensor apparatus. It begins by examining the physics of the equivalence principle and looks at how it inspired Einstein''s idea of curved spacetime as the gravitational field. At a more mathematically accessible level, it provides a metric description of a warped space, allowing the reader to study many interesting phenomena such as gravitational time dilation, GPS operation, light deflection, precession of Mercury''s perihelion, and black holes. Numerous modern topics in cosmology are discussed from primordial inflation and cosmic microwave background to the dark energy that propels an accelerating universe. Building on Cheng''s previous book, ''Relativity, Gravitation and Cosmology: A Basic Introduction'', this text has been tailored to the advanced student. It concentrates on the core elements of the subject making it suitable for a one-semester course at the undergraduate level. It can also serve as an accessible introduction of general relativity and cosmology for those readers who want to study the subject on their own. The proper tensor formulation of Einstein''s field equation is presented in an appendix chapter for those wishing to glimpse further at the mathematical details.

DKK 403.00
1

Advanced Mechanics - S. G. Rajeev - Bog - Oxford University Press - Plusbog.dk

Advanced Mechanics - S. G. Rajeev - Bog - Oxford University Press - Plusbog.dk

Classical Mechanics is the oldest and best understood part of physics. This does not mean that it is cast in marble yet, a museum piece to be admired from a distance. Instead, mechanics continues to be an active area of research by physicists and mathematicians. Every few years, we need to re-evaluate the purpose of learning mechanics and look at old material in the light of modern developments.Once you have learned basic mechanics (Newton''s laws, the solution of the Kepler problem) and quantum mechanics (the Schrödinger equation, hydrogen atom) it is time to go back and relearn classical mechanics in greater depth. It is the intent of this book to take you through the ancient (the original meaning of "classical ") parts of the subject quickly: the ideas started by Euler and ending roughly with Poincare. We then take up the developments of twentieth century physics that have largely to do with chaos and discrete time evolution (the basis of numerical solutions). Along the way you will learn about elliptic functions and their connection to the Arithmetico-Geometric-Mean; Einstein''s calculation of the perihelion shift of Mercury; that spin is really a classical phenomenon; how Hamilton came very close to guessing wave mechanics when he developed a unified theory of optics and mechanics; how Riemannian reometry is useful to understand the impossibility of long range weather prediction; why the maximum of the potential is a stable point of equilibrium in certain situations; the similarity of the orbits of particles in atomic traps and of the Trojan asteroids; about Julia sets and the Mandelblot; what Feigenbaum constants are and how Newton''s iterations help establish the Kolmogorov-Arnold-Moser theorem. By the end you should be ready to absorb modern research in mechanics.

DKK 403.00
1

Eurekas and Euphorias - Walter Gratzer - Bog - Oxford University Press - Plusbog.dk

Eurekas and Euphorias - Walter Gratzer - Bog - Oxford University Press - Plusbog.dk

The march of science has never proceeded smoothly. It has been marked through the years by episodes of drama and comedy, of failure as well as triumph, and by outrageous strokes of luck, deserved and undeserved, and sometimes by human tragedy. It has seen deep intellectual friendships, as well as ferocious animosities, and once in a while acts of theft and malice, deceit, and even a hoax or two. Scientists come in all shapes - the obsessive and the dilettantish, the genial, the envious, the preternaturally brilliant and the slow-witted who sometimes see further in the end, the open-minded and the intolerant, recluses and arrivistes. From the death of Archimedes at the hands of an irritated Roman soldier to the concoction of a superconducting witches'' brew at the very close of the twentieth century, the stories in Eurekas and Euphorias pour out, told with wit and relish by Walter Gratzer. Open this book at random and you may chance on the clumsy chemist who breaks a thermometer in a reaction vat and finds mercury to be the catalyst that starts the modern dyestuff industry; or a famous physicist dissolving his gold Nobel Prize medal in acid to prevent it from falling into the hands of the Nazis, recovering it when the war ends; mathematicians and physicists diverting themselves in prison cells, and even in a madhouse, by creating startling advances in their subject. We witness the careers, sometimes tragic, sometimes carefree, of the great women mathematicians, from Hypatia of Alexandria to Sophie Germain in France and Sonia Kovalevskaya in Russia and Sweden, and then Marie Curie''s relentless battle with the French Academy. Here, then, a glorious parade unfolds to delight the reader, with stories to astonish, to instruct, and most especially, to entertain.

DKK 689.00
1