ISBN: 9780387309439 - explorations in mathematical physics: the concepts behind an elegant language (5 Ergebnisse)

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Have you ever wondered why the language of modern physics centres on geometry Or how quantum operators and Dirac brackets work What a convolution really is What tensors are all about Or what field theory and lagrangians are, and why gravity is described as curvature This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You'll see how the accelerated frames of special relativity tell us about gravity. On the journey, you'll discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology.The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods.Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia.His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University.Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics. …

Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Have you ever wondered why the language of modern physics centres on geometry Or how quantum operators and Dirac brackets work What a convolution really is What tensors are all about Or what field theory and lagrangians are, and why gravity is described as curvature This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You'll see how the accelerated frames of special relativity tell us about gravity. On the journey, you'll discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology.The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods.Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia.His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University.Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics. 539 pp. Englisch.…

Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Gives a tour of the main ideas making up the language of modern mathematical physics beginning with linear algebraIntroduces novel approaches to subjectsA key topic is a fresh approach to tensor analysis built solely on the me.…