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"This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the subject. The coverage of topics is thorough, as the book explores various delicate points and hidden features often left untreated."

"In order to emphasize the relationships and cohesion between analytical and numerical techniques, Ordinary Differential Equations in Theory and Practice presents a comprehensive and integrated treatment of both aspects in combination with the modeling of relevant problem classes. This text is uniquely geared to provide enough insight into qualitative aspects of ordinary differential equations (ODEs) to offer a thorough account of quantitative methods for approximating solutions numerically, and to acquaint the reader with mathematical modeling, where such ODEs often play a significant role.Although originally published in 1995, the text remains timely and useful to a wide audience. It provides a thorough introduction to ODEs, since it treats not only standard aspects such as existence, uniqueness, stability, one-step methods, multistep methods, and singular perturbations, but also chaotic systems, differential-algebraic systems, and boundary value problems. The authors aim to show the use of ODEs in real life problems, so there is an extended chapter in which not only the general concepts of mathematical modeling but also illustrative examples from various fields are presented. A chapter on classical mechanics makes the book self-contained."

"The theory of compensating wage differentials predicts that there will be apositive relationship between wages and poor working conditions and thatworkers are fully compensated for poor working conditions through their wage.In this article, we first present a theoretical model of compensating wage differentialsunder the assumption of a perfectly competitive labor market to confirmthese predictions. We then show that empirical studies have found evidencethat contradicts these theoretical predictions. Specifically, we introducestudies that show the following: (i) workers are not matched with their desiredworking conditions, and those workers who report dissatisfaction with theirhours change employers to work in jobs that are more consistent with theirpreferred hours; and (ii) workers are overcompensated for poor working conditions.We provide two theoretical models that are more consistent with theobserved empirical patterns. The first is an equilibrium labor search model inwhich a job is a package of wages and working hours, while the second is a“rat-race” model in which professional employees are required to work inefficientlylong hours. Finally, we offer suggestions for offering more flexible jobs(e.g., restricted regular employees) in the Japanese labor market. "

"A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis."