This book describes the advanced stability theories for magnetically confined fusion plasmas, especially in tokamaks. As the fusion plasma sciences advance, the gap between the textbooks and cutting-edge researches gradually develops. This book fills in this gap. It focuses on the advanced topics such as the spectrum of magnetohydrodynamics in tokamaks, the interchange modes, ballooning modes, and toroidal Alfv�n eigenmodes, etc. in the toroidal geometry. The theories are laid out in parallel with the ideal, resistive magnetohydrodynamics and gyrokinetics formalisms.

It details the derivations of the advanced stability theories in this field, such as the ballooning mode representation, the resistive magnetohydrodynamics singular layer theory by A. Glasser, et al. and the gyrokinetic theory. Special efforts are made to explain how the physics problems are formulated mathematically and how to solve them analytically or semi-analytically. Besides the advanced theories, the book also discusses the intuitive physics pictures for various experimentally observed phenomena, such as the confinement modes (L-, I-, and H-modes), the transport barrier, nonlocal transport, edge localized modes, blob transport, and edge harmonic oscillations, etc.

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Linjin Zheng specializes in both analytic theory and large-scale numerical computation of magnetically confined plasmas. He received his M. S. degree from The University of Science and Technology of China and Ph. D. from Institute of Physics - Beijing, Chinese Academy of Sciences. He is currently working at Institute for Fusion Studies, The University of Texas at Austin, USA. He has published more than a hundred scientific papers and his research covers both ideal/resistive MHD and kinetic theories for MHD modes and drift waves, etc. His major contributions with his colleagues include the discovery of 2nd toroidal Alfven eigenmodes, reformulation of gyrokinetic theory, development of physical interpretation of so-called edge localized modes, etc. He also developed the AEGIS and AEGIS-K codes.

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