Explorations in Mathematical Physics : The Concepts Behind an Elegant Language. 1st ed. 2006

種類:

電子ブック

責任表示:

by Don Koks

出版情報:

New York, NY : Springer New York : Imprint: Springer, 2006

著者名:

• Koks, Don.
• SpringerLink (Online service)

ISBN:

9780387327938 [0387327932]    

注記:

The Language of Physics -- A Trip Down Linear Lane -- The Natural Language of Random Processes -- A Roundabout Route to Geometric Algebra -- Special Relativity and the Lorentz Transform -- Four-Vectors and the Road to Tensors -- Accelerated Frames: Onward to the Principle of Covariance -- The Elegance and Power of Tensor Notation -- Curvature and Differential Geometry -- Variational Calculus and Field Theory -- The Green Function Approach to Solving Field Equations -- Airliners, Black Holes, and Cosmology: The ABC of General Relativity.
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 buil

ローカル注記:

学内専用E-BOOKS (local access only)