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Author: Charalambos D. Aliprantis
Publisher: American Mathematical Soc.
ISBN: 0821841467
Category : Mathematics
Languages : en
Pages : 298
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Book Description
Ordered vector spaces and cones made their debut in mathematics at the beginning of the twentieth century. They were developed in parallel (but from a different perspective) with functional analysis and operator theory. Before the 1950s, ordered vector spaces appeared in the literature in a fragmented way. Their systematic study began around the world after 1950 mainly through the efforts of the Russian, Japanese, German, and Dutch schools. Since cones are being employed to solve optimization problems, the theory of ordered vector spaces is an indispensable tool for solving a variety of applied problems appearing in several diverse areas, such as engineering, econometrics, and the social sciences. For this reason this theory plays a prominent role not only in functional analysis but also in a wide range of applications. This is a book about a modern perspective on cones and ordered vector spaces. It includes material that has not been presented earlier in a monograph or a textbook. With many exercises of varying degrees of difficulty, the book is suitable for graduate courses. Most of the new topics currently discussed in the book have their origins in problems from economics and finance. Therefore, the book will be valuable to any researcher and graduate student who works in mathematics, engineering, economics, finance, and any other field that uses optimization techniques.
Author: Charalambos D. Aliprantis
Publisher: American Mathematical Soc.
ISBN: 0821841467
Category : Mathematics
Languages : en
Pages : 298
Get Book Here
Book Description
Ordered vector spaces and cones made their debut in mathematics at the beginning of the twentieth century. They were developed in parallel (but from a different perspective) with functional analysis and operator theory. Before the 1950s, ordered vector spaces appeared in the literature in a fragmented way. Their systematic study began around the world after 1950 mainly through the efforts of the Russian, Japanese, German, and Dutch schools. Since cones are being employed to solve optimization problems, the theory of ordered vector spaces is an indispensable tool for solving a variety of applied problems appearing in several diverse areas, such as engineering, econometrics, and the social sciences. For this reason this theory plays a prominent role not only in functional analysis but also in a wide range of applications. This is a book about a modern perspective on cones and ordered vector spaces. It includes material that has not been presented earlier in a monograph or a textbook. With many exercises of varying degrees of difficulty, the book is suitable for graduate courses. Most of the new topics currently discussed in the book have their origins in problems from economics and finance. Therefore, the book will be valuable to any researcher and graduate student who works in mathematics, engineering, economics, finance, and any other field that uses optimization techniques.
Author: Joseph Albert Wolf
Publisher: American Mathematical Soc.
ISBN: 0821842897
Category : Mathematics
Languages : en
Pages : 408
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Book Description
This study starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces.
Author: Serge Alinhac
Publisher: American Mathematical Soc.
ISBN: 0821834541
Category : Mathematics
Languages : en
Pages : 178
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Book Description
This book presents two essential and apparently unrelated subjects. The first, microlocal analysis and the theory of pseudo-differential operators, is a basic tool in the study of partial differential equations and in analysis on manifolds. The second, the Nash-Moser theorem, continues to be fundamentally important in geometry, dynamical systems and nonlinear PDE. Each of the subjects, which are of interest in their own right as well as for applications, can be learned separately. But the book shows the deep connections between the two themes, particularly in the middle part, which is devoted to Littlewood-Paley theory, dyadic analysis, and the paradifferential calculus and its application to interpolation inequalities. An important feature is the elementary and self-contained character of the text, to which many exercises and an introductory Chapter $0$ with basic material have been added. This makes the book readable by graduate students or researchers from one subject who are interested in becoming familiar with the other. It can also be used as a textbook for a graduate course on nonlinear PDE or geometry.
Author: John Andrew Adam Hunter
Publisher:
ISBN: 9789616060752
Category : Automobile drivers with disabilities
Languages : en
Pages : 441
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Book Description
Author: Hank Whittemore
Publisher: Weidenfeld & Nicolson
ISBN: 9780297778912
Category : Bank notes
Languages : en
Pages : 228
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Book Description
Author: Viktor Vasilʹevich Prasolov
Publisher: American Mathematical Soc.
ISBN: 0821838121
Category : Mathematics
Languages : en
Pages : 432
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Book Description
The book is a continuation of the previous book by the author (Elements of Combinatorial and Differential Topology, Graduate Studies in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples and applications. Then the Kolmogorov-Alexander multiplication in cohomology is introduced. A significant part of the book is devoted to applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later chapters are concerned with singular homology and cohomology, and Cech and de Rham cohomology. The book ends with various applications of homology to the topology of manifolds, some of which might be of interest to experts in the area. The book contains many problems; almost all of them are provided with hints or complete solutions.
Author: Sonny Brewer
Publisher: Random House Digital, Inc.
ISBN: 034547631X
Category : Fiction
Languages : en
Pages : 254
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Book Description
In 1925, Henry Stuart leaves his home and grown sons in Idaho to move to the woods on the eastern shore of Mobile Bay, Alabama, where he builds a round house and lives for more than two decades on the property he names after Leo Tolstoy.
Author: Philip Ardagh
Publisher:
ISBN: 9781931983051
Category : Agricultural machinery
Languages : en
Pages : 32
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Book Description
See farm machinery like tractors, trucks, and trailers as they harvest the field and sow the next crop, and the tanker as it collects the cows' milk.
Author: Rick Marin
Publisher:
ISBN: 9780091895402
Category : Single men
Languages : en
Pages : 304
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Book Description
You know him. He's the funny, sweet guy with the great eyes who asks you a million questions and seems mesmerized by every reply. He takes you on the greatest, longest date of your life. He swears he loves cats and cuddling. And his apartment is so clean. He just might be the One. Then he doesn't call, doesn't write. He sees you coming down the street and he hides behind a tree. He's a cad. And this is his story. After all the girl's guides to sex in the city, here - at last - is the view from the other side of the bed. In Cad: Confessions of a Toxic Bachelor, Rick Marin offers himself up for an in-depth look at man's superficial nature. In this rollicking, frequently insensitive and ultimately poignant memoir, Marin proves a master of the light touch even in his darkest hours. Part Hugh Hefner, part Hugh Grant, his tale is a rake's progress (in spite of himself) from incorrigible cad to reconstructed romantic. It is one man's story but many men will read it as their own. And for any woman who has ever wondered What was he thinking? This is what he was thinking. Laugh out loud funny' ElleMove over Bridget Jones' The Week'A very good, intelligent and funny book' Evening Standard
Author: Paolo Capodaglio
Publisher: Springer Science & Business Media
ISBN: 3642359728
Category : Medical
Languages : en
Pages : 307
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Book Description
Obesity is currently regarded as one of the major health challenges of the developed world. Excess body weight is an important risk factor for morbidity and mortality from cardiovascular diseases, diabetes, cancer, musculoskeletal disorders and even psychiatric problems and is estimated to cause nearly 3 million deaths per year worldwide. Obesity is not necessarily associated with comorbidities: there are indeed metabolically healthy obese individuals. Thus, we need to consider individuals presenting simple with obesity separately from those at risk of developing or who have already developed complex clinical states potentially leading to disability. Comorbidities can tip the balance of independence in patients who already have functional limitations mainly due to the excess of mass itself or who develop conditions such as diabetes, cardiovascular conditions, non-alcoholic fatty liver disease, where an abnormal metabolism of adipose tissue prevails. Morbid obesity with comorbidities leading to disability represents a real social and economic burden for National Health Systems worldwide. The presence of multiple and associated comorbidities often represents an obstacle to being admitted to hospitals for the treatment of metabolic diseases. On the other hand, clinical units with optimal standards for the treatment of pathological conditions in normal-weight patients are often structurally and technologically inadequate for the care of patients with extreme obesity. The aim of this book is to focus on the pathophysiological and rehabilitative aspects of disabling obesity, highlighting multidisciplinary rehabilitation interventions as key to counteracting the disabling aspects of complicated obesity.
