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Fundamentals of the Theory of Operator Algebras. Volume III
This volume is the companion volume to Fundamentals of the Theory of Operator Algebras. Volume I--Elementary Theory (Graduate Studies in Mathematics series, Volume 15). The goal of the text proper is to teach the subject and lead readers to where the vast literature--in the subject specifically and in its many applications--becomes accessible. The choice of material was made from among the fundamentals of what may be called the "classical" theory of operator algebras. This volume contains the written solutions to the exercises in the Fundamentals of the Theory of Operator Algebras. Volume I--Elementary Theory.
The Diplomatic Enlightenment
Eighteenth-century Spain drew on the Enlightenment to reconfigure its role in the European balance of power. As its force and its weight declined, Spanish thinkers discouraged war and zealotry and pursued peace and cooperation to reconfigure the international Spanish Empire.
Social Constructionism in Vocational Psychology and Career Development
"The contemporary world-of-work makes demands upon the field of career development and vocational psychology to ensure that theories and practices retain their relevance amidst the complexity of work and learning in people's lives. Social Constructionism is the emerging paradigm that can reformulate theories and practices of career development that have come before. Social Constructionism opens new perspectives and raises questions about phenomena that have captured the imagination of scholars and practitioners for a century. In this fourth book in the Sense Career Development Series, a host of international authors open the window of Social Constructionism to reveal the challenges that lay ahead in the next generation of research and practice. This little book is ideal for the graduate scholar, researcher, and seriously curious practitioner who seek to understand Social Constructionism, the questions it raises, and how those questions may be answered. Readers will be challenged to think hard, review their assumptions, and see the world of work and learning anew. The rewards are worth the effort."
An Introduction to Symplectic Geometry
Symplectic geometry is a central topic of current research in mathematics. Indeed, symplectic methods are key ingredients in the study of dynamical systems, differential equations, algebraic geometry, topology, mathematical physics and representations of Lie groups. This book is a true introduction to symplectic geometry, assuming only a general background in analysis and familiarity with linear algebra. It starts with the basics of the geometry of symplectic vector spaces. Then, symplectic manifolds are defined and explored. In addition to the essential classic results, such as Darboux's theorem, more recent results and ideas are also included here, such as symplectic capacity and pseudohol...
Introduction to the $h$-Principle
The latest volume in the AMS's high-profile GSM series. The book presents a very accessible exposition of a powerful, but difficult to explain method of solving Partial Differentiel Equations. Would make an excellent text for courses on modern methods for solvng Partial Differential Equations. Very readable treatise of an important and remarkable technique. Strong bookstore candidate.
A Buccaneer's Atlas
On July 29, 1681, a band of English buccaneers that had been terrorizing Spanish possessions on the west coast of the Americas captured a Spanish ship, from which they obtained a derrotero, or book of charts and sailing directions. When they arrived back in England, the Spanish ambassador demanded that the buccaneers be brought to trial. The derrotero was ordered to be brought to King Charles II, who apparently appreciated its great intelligence value. The buccaneers were acquitted, to the chagrin of the king of Spain, who had the English ambassador expelled from the court at Madrid on a seemingly trumped-up charge. The derrotero was subsequently translated, and one of the buccaneers, Basil ...
Introduction to the Theory of Random Processes
This book concentrates on some general facts and ideas of the theory of stochastic processes. The topics include the Wiener process, stationary processes, infinitely divisible processes, and Ito stochastic equations. Basics of discrete time martingales are also presented and then used in one way or another throughout the book. Another common feature of the main body of the book is using stochastic integration with respect to random orthogonal measures. In particular, it is used forspectral representation of trajectories of stationary processes and for proving that Gaussian stationary processes with rational spectral densities are components of solutions to stochastic equations. In the case o...
Principles of Functional Analysis
This excellent book provides an elegant introduction to functional analysis ... carefully selected problems ... This is a nicely written book of great value for stimulating active work by students. It can be strongly recommended as an undergraduate or graduate text, or as a comprehensive book for self-study. --European Mathematical Society Newsletter Functional analysis plays a crucial role in the applied sciences as well as in mathematics. It is a beautiful subject that can be motivated and studied for its own sake. In keeping with this basic philosophy, the author has made this introductory text accessible to a wide spectrum of students, including beginning-level graduates and advanced und...
