Explorations in Mathematical Physics

Don Koks

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Language: English

Published by Springer-Verlag New York Inc., US, 2010

1441921680 / 9781441921680

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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.

Seller Inventory # LU-9781441921680

Title
Explorations in Mathematical Physics
Author
Don Koks
Publisher
Springer-Verlag New York Inc., US
Publication year
2010
Condition
New
Binding
Paperback
Language
English
ISBN 10
1441921680
ISBN 13
9781441921680
Edition
1st ed. Softcover of orig. ed. 2006.
Item weight
771 grams
Dimensions
15.5 x 3.2 x 23.5 cm

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