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An Introduction to Functional Analysis
This accessible text covers key results in functional analysis that are essential for further study in the calculus of variations, analysis, dynamical systems, and the theory of partial differential equations. The treatment of Hilbert spaces covers the topics required to prove the Hilbert–Schmidt theorem, including orthonormal bases, the Riesz representation theorem, and the basics of spectral theory. The material on Banach spaces and their duals includes the Hahn–Banach theorem, the Krein–Milman theorem, and results based on the Baire category theorem, before culminating in a proof of sequential weak compactness in reflexive spaces. Arguments are presented in detail, and more than 200 fully-worked exercises are included to provide practice applying techniques and ideas beyond the major theorems. Familiarity with the basic theory of vector spaces and point-set topology is assumed, but knowledge of measure theory is not required, making this book ideal for upper undergraduate-level and beginning graduate-level courses.
An Introduction to Ordinary Differential Equations
A first course in ordinary differential equations for mathematicians, scientists and engineers. Solutions are provided.
Purchasing Medical Innovation
"Innovation in medical technology drives improvement in the quality of health care but also the unsustainable increase in costs. This book analyzes methods of technology regulation, insurance, payment, pricing, and use, and highlights ways in which they should be reformed. The goal is to improve the value of drugs, devices, and other innovative technologies to achieve better performance at lower cost."--Provided by publisher.
Performance Consulting
The traditional training process confuses training activity with performance improvement by focusing on employees' learning needs, rather than on their performance needs. Traditional programs focus on developing excellent learning experiences, while failing to ensure that the newly acquired skills are transferred to the job. Thus, to be effective, training professionals must become ""performance consultants, "" shifting their focus from training delivery to the performance of the company and its individual contributors. Dana & Jim Robinson describe an approach suitable for use in any organizational setting or industry and with any content area. Dozens of useful tools, illustrative exercises, and a case study that threads through the book show how the techniques described are applied in an organizational setting.
Infinite-Dimensional Dynamical Systems
This book treats the theory of global attractors, a recent development in the theory of partial differential equations, in a way that also includes much of the traditional elements of the subject. As such it gives a quick but directed introduction to some fundamental concepts, and by the end proceeds to current research problems. Since the subject is relatively new, this is the first book to attempt to treat these various topics in a unified and didactic way. It is intended to be suitable for first year graduate students.
Robinson Crusoe
An adaptation of the story of Robinson Crusoe who was shipwrecked on an island, how he survived and was finally rescued. Rewritten "in words easy for every child, ... shortened by leaving out all the dull parts."
Partial Differential Equations and Fluid Mechanics
Reviews and research articles summarizing a wide range of active research topics in fluid mechanics.
Why Nations Fail
Shortlisted for the Financial Times and Goldman Sachs Business Book of the Year Award 2012. Why are some nations more prosperous than others? Why Nations Fail sets out to answer this question, with a compelling and elegantly argued new theory: that it is not down to climate, geography or culture, but because of institutions. Drawing on an extraordinary range of contemporary and historical examples, from ancient Rome through the Tudors to modern-day China, leading academics Daron Acemoglu and James A. Robinson show that to invest and prosper, people need to know that if they work hard, they can make money and actually keep it - and this means sound institutions that allow virtuous circles of innovation, expansion and peace. Based on fifteen years of research, and answering the competing arguments of authors ranging from Max Weber to Jeffrey Sachs and Jared Diamond, Acemoglu and Robinson step boldly into the territory of Francis Fukuyama and Ian Morris. They blend economics, politics, history and current affairs to provide a new, powerful and persuasive way of understanding wealth and poverty.
The Three-Dimensional Navier-Stokes Equations
An accessible treatment of the main results in the mathematical theory of the Navier-Stokes equations, primarily aimed at graduate students.
