This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator.
The Journey of The Path is a pilgrimage to reconnect with The Source. The Three Great Quests are the swinging hammer and sparking anvil of technology. The Chamber of Initiation is the transcendent experience of The Thunderbolt of Enlightenment. As One, they are a movement into a condition, which reincarnates us out of the ashes of yesterday, and transforms us into The Phoenix of Tomorrow.
Principles of Modern Grinding Technology, Second Edition, provides insights into modern grinding technology based on the author's 40 years of research and experience in the field. It provides a concise treatment of the principles involved and shows how grinding precision and quality of results can be improved and costs reduced. Every aspect of the grinding process--techniques, machines and machine design, process control, and productivity optimization aspects--come under the searchlight. The new edition is an extensive revision and expansion of the first edition covering all the latest developments, including center-less grinding and ultra-precision grinding. Analyses of factors that influence grinding behavior are provided and applications are presented assisted by numerical examples for illustration. The new edition of this well-proven reference is an indispensible source for technicians, engineers, researchers, teachers, and students who are involved with grinding processes. - Well-proven source revised and expanded by undisputed authority in the field of grinding processes - Coverage of the latest developments, such as ultra-precision grinding machine developments and trends in high-speed grinding - Numerically worked examples give scale to essential process parameters - The book as a whole and in particular the treatment of center-less grinding is considered to be unchallenged by other books
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