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Versatile and comprehensive in content, this book of problems will appeal to students in nearly all areas of mathematics. The text offers original and advanced problems proposed from 1995 to 2016 at the Mathematics Olympiads. Essential for undergraduate students, PhD students, and instructors, the problems in this book vary in difficulty and cover most of the obligatory courses given at the undergraduate level, including calculus, algebra, geometry, discrete mathematics, measure theory, complex analysis, differential equations, and probability theory. Detailed solutions to all of the problems from Part I are supplied in Part II, giving students the ability to check their solutions and observ...
The widely celebrated, research-based marital therapy program—now updated and revised. The highly influential book The Marriage Clinic presented a complete marital therapy program based on John Gottman’s much-heralded research on marital success and failure. Since then, Dr. Gottman has collaborated with his wife, clinical psychologist Dr. Julie Gottman, to conduct their well-known Love Lab studies, allowing the pair to design a highly successful couples’ workshop and develop their Sound Relationship House theory. Now, in the book’s first-ever revision, Dr. Gottman and Dr. Gottman incorporate the results of their studies and their most powerful interventions. In addition to its original, celebrated marital therapy program, The New Marriage Clinic includes findings on the dynamics of same-sex couples, interventions for couples recovering from situational domestic violence, strategies for couples rebuilding their marriages after an affair, and much more. No relational therapist’s bookshelf is complete without this vital update to the groundbreaking guide on marital therapy.
Contains results not yet published in technical journals and conference proceedings.
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This book is concerned with discovering the chemical pathways of biosynthesis. The four chapters cover the use of isotopes in biosynthetic research and the biosynthesis of enzyme cofactors and vitamin B12 and of reduced polyketides such as erythromycin. The topics covered demonstrated the revolution that has occurred in biosynthetic studies with the advent of gene cloning and overexpression. The knowledge of biosynthetic pathways at the genetic and enzymic levels which is becoming available opens up possibilities of designing inhibitors of particular steps as new antibiotics or manipulating the genes so that new natural products are produced. However the book also shows that the more classical approach to biosynthetic studies must go hand in hand with these new techniques.
This work is a formal investigation of a number of bimodal and polymodal logics built on a base of propositional S4, and is a contribution to the theory of hybrid control systems. It is the first stage of a larger project of developing logics for the design and verification of such systems.
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