Category Archives: Waves & Wave Mechanics

Geometric and Topological Methods for Quantum Field Theory

Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an … Continue reading

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Waves and Rays in Elastic Continua

The present book — which is the second, and significantly extended, edition of the textbook originally published by Elsevier Science — emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects … Continue reading

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Solitons, Instantons, and Twistors (Oxford Graduate Texts in Mathematics)

Most nonlinear differential equations arising in natural sciences admit chaotic behavior and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well behaved solutions known as solitons and instantons. These solutions play important … Continue reading

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Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension

Already thoroughly familiar to the seasoned science fiction fan, Hyperspace is that realm which enables a spaceship captain to take his ship on a physics-defying shortcut (or “wormhole”) to the outer shores of the Galaxy in less time than it … Continue reading

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Electrodynamics and Classical Theory of Fields and Particles

The first comprehensive treatment of relativistic electrodynamics, and still essential reading in the field, deftly revealing the classical underpinnings of modern quantum field theory. Among the topics: space-time, Lorentz transformations, conservation laws, equations of motion, Green’s functions and action-at-a-distance electrodynamics.

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The Versatile Soliton (Modern Birkhäuser Classics)

If you have not already heard about solitons, you will sooner or later encounter them. The soliton, a solitary wave impulse preserving its shape and strikingly similar to a particle, is one of the most fascinating and beautiful phenomena in … Continue reading

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Waves and Oscillations: A Prelude to Quantum Mechanics

Waves and oscillations permeate virtually every field of current physics research, are central to chemistry, and are essential to much of engineering. Furthermore, the concepts and mathematical techniques used for serious study of waves and oscillations form the foundation for … Continue reading

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Waves and Mean Flows (Cambridge Monographs on Mechanics)

Interactions between waves and mean flows play a crucial role in understanding the long-term aspects of atmospheric and oceanographic modeling. Indeed, our ability to predict climate change hinges on our ability to model waves accurately. This book gives a modern … Continue reading

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Nonnegative Matrix and Tensor Factorizations: Applications to Exploratory Multi-way Data Analysis and Blind Source Separation

This book provides a broad survey of models and efficient algorithms for Nonnegative Matrix Factorization (NMF). This includes NMF’s various extensions and modifications, especially Nonnegative Tensor Factorizations (NTF) and Nonnegative Tucker Decompositions (NTD). NMF/NTF and their extensions are increasingly used … Continue reading

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Vibrations and Waves (Manchester Physics Series)

This introductory text emphasises physical principles, rather than the mathematics. Each topic begins with a discussion of the physical characteristics of the motion or system. The mathematics is kept as clear as possible, and includes elegant mathematical descriptions where possible. … Continue reading

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