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This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration. All topics and in particular, differentiation and integration, are treated in depth and with mathematical rigor. The classical theorems of differentiation and integration such as the Inverse and Implicit Function theorems, Lagrange's multiplier rule, Fubini's theorem, the change of variables formula, Green's, Stokes' and Gauss' theorems are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one result...
This volume provides a comprehensive treatment of basic Lie theory, primarily directed toward graduate study. The text is ideal for a full graduate course in Lie groups and Lie algebras. However, the book is also very usable for a variety of other courses: a one-semester course in Lie algebras, or on Haar measure and its applications, for advanced undergraduates; or as the text for one-semester graduate courses in Lie groups and symmetric spaces of non-compact type, or in lattices in Lie groups. The material is complete and detailed enough to be used for self-study; it can also serve as a reference work for professional mathematicians working in other areas. The book's utility for such a varied readership is enhanced by a diagram showing the interdependence of the separate chapters so that individual chapters and the material they depend upon can be selected, while others can be skipped.The book incorporates many of the most significant discoveries and pioneering contributions of the masters of the subject: Borel, Cartan, Chevalley, Iwasawa, Mostow, Siegel, and Weyl, among others.
Written for high school and college mathematics teachers and their students, as well as a general audience, this book discusses concepts such as positive integers, rational numbers, real numbers, complex numbers, polynomials, algebra, two- and three-dimensional geometry and topology.
An invaluable sourcebook on the complex relationship between psychosis, trauma, and dissociation, thoroughly revised and updated This revised and updated second edition of Psychosis, Trauma and Dissociation offers an important resource that takes a wide-ranging and in-depth look at the multifaceted relationship between trauma, dissociation and psychosis. The editors – leaders in their field – have drawn together more than fifty noted experts from around the world, to canvas the relevant literature from historical, conceptual, empirical and clinical perspectives. The result documents the impressive gains made over the past ten years in understanding multiple aspects of the interface betwe...
This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers. Book jacket.
In the 21st century, corporations have worked their way into government and, as they become increasingly more powerful, arguments about their involvement with public health have become increasingly black and white. With corporations at the center of public health and environmental issues, everything chemical or technological is good, everything natural is bad; scientists who are funded by corporations are right and those who are independent are invariably wrong. There is diminishing common ground between the two opposed sides in these arguments. Corporate Ties that Bind is a collection of essays written by influential academic scholars, activists, and epidemiologists from around the world th...
A hard-hitting expose that shines a light on the powerful conservative forces that have waged a multi-decade battle to hijack the meaning of free speech--and how we can reclaim it. There's a critical debate taking place over one of our most treasured rights: free speech. We argue about whether it's at risk, whether college students fear it, whether neo-Nazis deserve it, and whether the government is adequately upholding it. But as P. E. Moskowitz provocatively shows in The Case Against Free Speech, the term has been defined and redefined to suit those in power, and in recent years, it has been captured by the Right to push their agenda. What's more, our investment in the First Amendment obsc...
In the 100 years since Eugen Bleuler unveiled his concept of schizophrenia, which had dissociation at its core, the essential connection between traumatic life events, dissociative processes and psychotic symptoms has been lost. Psychosis, Trauma and Dissociation is the first book to attempt to reforge this connection, by presenting challenging new findings linking these now disparate fields, and by comprehensively surveying, from a wide range of perspectives, the complex relationship between dissociation and psychosis. A cutting-edge sourcebook, Psychosis, Trauma and Dissociation brings together highly-respected professionals working in the psychosis field with renowned clinicians and resea...
The Definitive Book on Group Policy – Updated for Windows 7 and Windows Server 2008R2 The ultimate Group Policy guide-now updated for Windows 7 and Server 2008 R2! IT and network administrators can streamline their Windows Server management tasks by using Group Policy tools to automate or implement rules, processes, or new security across the enterprise. In this comprehensive guide, Microsoft Group Policy MVP Jeremy Moskowitz thoroughly explores Group Policy across all Windows platforms, including the latest on Windows 7 and Server 2008 R2. If you're a Windows network administrator managing scores of users and computers, you need this essential reference on your desk. Covers the fundamenta...
'I like the authorsâ (TM) taste in footnotes, what with their frequent emphasis on history, i.e. the minutiae of the lives of many mathematicians appearing in these pages. Their remarks add a particular dimension of fun and pleasure to what I think is a very good book. Itâ (TM)s pitched at the right level, it does a lot of serious stuff in preparation for what is coming the studentsâ (TM) way in the future, and it does it well.'MAA ReviewsThis comprehensive two-volume book deals with algebra, broadly conceived. Volume 1 (Chapters 1-6) comprises material for a first year graduate course in algebra, offering the instructor a number of options in designing such a course. Volume 1, provides as well all essential material that students need to prepare for the qualifying exam in algebra at most American and European universities. Volume 2 (Chapters 7-13) forms the basis for a second year graduate course in topics in algebra. As the table of contents shows, that volume provides ample material accommodating a variety of topics that may be included in a second year course. To facilitate matters for the reader, there is a chart showing the interdependence of the chapters.