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Explorations in mathematical physics: the concepts behind an elegant language

By: Material type: TextLanguage: English Publication details: New York: Springer, 2006.Description: xv, 539p. : illISBN:
  • 0387309438
Subject(s): Other classification:
  • C:(B) P6 TC
Summary: 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.
Item type: Textbook
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Cover image Item type Current library Home library Collection Shelving location Call number Materials specified Vol info URL Copy number Status Notes Date due Barcode Item holds Item hold queue priority Course reserves
Textbook Central Science Library Central Science Library C:(B) P6 TC (Browse shelf(Opens below)) Available SL1381302

Index 531-539p.

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.

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