springer basel sep 2010 (13 risultati)

Buch. Condizione: Neu. Neuware -ThesubjectofthisbookisSemi-In niteAlgebra,ormorespeci cally,Semi-In nite Homological Algebra. The term ¿semi-in nite¿ is loosely associated with objects that can be viewed as extending in both a ¿positive¿ and a ¿negative¿ direction, withsomenaturalpositioninbetween,perhapsde nedupto ä nite¿movement. Geometrically, this would mean an in nite-dimensional variety with a natural class of ¿semi-in nite¿ cycles or subvarieties, having always a nite codimension in each other, but in nite dimension and codimension in the whole variety [37]. (For further instances of semi-in nite mathematics see, e. g. , [38] and [57], and references below. ) Examples of algebraic objects of the semi-in nite type range from certain in nite-dimensional Lie algebras to locally compact totally disconnected topolo- cal groups to ind-schemes of ind-in nite type to discrete valuation elds. From an abstract point of view, these are ind-pro-objects in various categories, often - dowed with additional structures. One contribution we make in this monograph is the demonstration of another class of algebraic objects that should be thought of as ¿semi-in nite¿, even though they do not at rst glance look quite similar to the ones in the above list. These are semialgebras over coalgebras, or more generally over corings ¿ the associative algebraic structures of semi-in nite nature. The subject lies on the border of Homological Algebra with Representation Theory, and the introduction of semialgebras into it provides an additional link with the theory of corings [23], as the semialgebrasare the natural objects dual to corings.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 376 pp. Englisch.

Taschenbuch. Condizione: Neu. Neuware -Homotopy theory and C\* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C\*-algebras. One basic idea of the setup is to merge C\*-algebras and spaces studied in algebraic topology into one category comprising C\*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C\*-spaces such as homology and cohomology theories, K-theory and zeta-functions.The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C\*-algebras, homotopy theory and applications.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 148 pp. Englisch.

Buch. Condizione: Neu. Neuware -In this book the author presents a comprehensive study of Diophantos¿ monumental work known as Arithmetika, a highly acclaimed and unique set of books within the known Greek mathematical corpus. Its author, Diophantos, is an enigmatic figure of whom we know virtually nothing.Starting with Egyptian, Babylonian and early Greek mathematics the author paints a picture of the sources the Arithmetika may have had. Life in Alexandria, where Diophantos lived, is described and, on the basis of the limited available evidence, his biography is outlined.Of Arithmetikäs 13 books only 6 survive in Greek. It was not until 1971 that these were complemented by the discovery of 4 other books in an Arab translation. This allows the author to describe the structure, the contents and the mathematics of the Arithmetika in detail. Furthermore it is shown that Diophantos had a remarkable skill to solve higher degree equations.In the second part, the author draws our attention to the survival of Diophantos¿ work in both Arab and European mathematical cultures. Once Xylander¿s critical 1575 edition reached its European public, the fame of the Arithmetika grew. It was studied, translated and modified by such authors as Bombelli, Stevin and Viète. It reached its pinnacle of fame in 1621 with the publication of Bachet¿s translation into Latin. The marginal notes by Fermat in his copy of Diophantos, including his famous ¿Last Theorem¿, were the starting point of a whole new research subject: the theory of numbers.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 220 pp. Englisch.

Buch. Condizione: Neu. Neuware -Leon Battista Alberti was an outstanding polymath of the fifteenth century, alongside Piero della Francesca and before Leonardo da Vinci. While his contributions to architecture and the visual arts are well known and available in good English editions, and much of his literary and social writings are also available in English, his mathematical works are not well represented in readily available, accessible English editions have remained accessible only to specialists. The four treatises included here ¿ Ludi matematici, De Componendis Cifris, Elementi di pittura and De lunularum quadratura ¿ are extremely valuable in rounding out the portrait of this multitalented thinker. The treatises are presented in modern English translations, with commentary that is intended to make evident the depths of Alberti¿s knowledge as well as address the treatises¿ mathematical, historical and cultural context, their classical Greek roots, and their relationship to later works by Renaissance thinkers.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 236 pp. Englisch.

Buch. Condizione: Neu. Neuware -Both metabotropic and ionotropic glutamate receptors present attractive ¿druggable¿ targets in treating disorders of the central nervous system. There has been a dramatic shift in the focus of glutamate-based therapies away from neurologic disorders such as stroke and traumatic brain injury to the treatment of psychiatric disorders. This ¿Milestones in Drug Therapy¿ volume offers a unique, contemporary overview of preclinical and clinical evidence that modulating glutamatergic tone is an effective means of treating psychiatric disorders ranging from depression and anxiety to schizophrenia and drug abuse. The ability to treat diseases such as depression and schizophrenia through multiple, glutamate-based mechanisms offers a unique therapeutic opportunity, as described in this book.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 192 pp. Englisch.

Buch. Condizione: Neu. Neuware -GABA (gamma-aminobutyric acid) is the main neurotransmitter regulating sleep. The majority of drugs presently in use for the treatment of sleep disorders act by enhancing GABAergic neuronal inhibition. The GABA system is, therefore, of prime clinical relevance for the therapy of insomnia.The focus of this volume is on the neuropsychopharmacology and the clinical impact of the GABA system in regulating sleep and wakefulness. It presents molecular, neuropharmacological, systems-biological and clinical approaches to the understanding of the mechanism of action of GABA and GABAergic drugs. It also explores the role of GABA in the basic drives that affect sleep, and the influences that adapt sleep and wakefulness to external events.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 516 pp. Englisch.

Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Leon Battista Alberti was an outstanding polymath of the fifteenth century, alongside Piero della Francesca and before Leonardo da Vinci. While his contributions to architecture and the visual arts are well known and available in good English editions, and much of his literary and social writings are also available in English, his mathematical works are not well represented in readily available, accessible English editions have remained accessible only to specialists. The four treatises included here - Ludi matematici, De Componendis Cifris, Elementi di pittura and De lunularum quadratura - are extremely valuable in rounding out the portrait of this multitalented thinker. The treatises are presented in modern English translations, with commentary that is intended to make evident the depths of Alberti's knowledge as well as address the treatises' mathematical, historical and cultural context, their classical Greek roots, and their relationship to later works by Renaissance thinkers. 236 pp. Englisch.

Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph deals with semi-infinite homological algebra. Intended as the definitive treatment of the subject of semi-infinite homology and cohomology of associative algebraic structures, it also contains material on the semi-infinite (co)homology of Lie algebras and topological groups, the derived comodule-contramodule correspondence, its application to the duality between representations of infinite-dimensional Lie algebras with complementary central charges, and relative non-homogeneous Koszul duality. The book explains with great clarity what the associative version of semi-infinite cohomology is, why it exists, and for what kind of objects it is defined. Semialgebras, contramodules, exotic derived categories, Tate Lie algebras, algebraic Harish-Chandra pairs, and locally compact totally disconnected topological groups all interplay in the theories developed in this monograph. Contramodules, introduced originally by Eilenberg and Moore in the 1960s but almost forgotten for four decades, are featured prominently in this book, with many versions of them introduced and discussed. Rich in new ideas on homological algebra and the theory of corings and their analogues, this book also makes a contribution to the foundational aspects of representation theory. In particular, it will be a valuable addition to the algebraic literature available to mathematical physicists. 376 pp. Englisch.

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Homotopy theory and C\* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C\*-algebras. One basic idea of the setup is to merge C\*-algebras and spaces studied in algebraic topology into one category comprising C\*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C\*-spaces such as homology and cohomology theories, K-theory and zeta-functions.The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C\*-algebras, homotopy theory and applications. 148 pp. Englisch.

Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this book the author presents a comprehensive study of Diophantos' monumental work known as Arithmetika, a highly acclaimed and unique set of books within the known Greek mathematical corpus. Its author, Diophantos, is an enigmatic figure of whom we know virtually nothing.Starting with Egyptian, Babylonian and early Greek mathematics the author paints a picture of the sources the Arithmetika may have had. Life in Alexandria, where Diophantos lived, is described and, on the basis of the limited available evidence, his biography is outlined.Of Arithmetika's 13 books only 6 survive in Greek. It was not until 1971 that these were complemented by the discovery of 4 other books in an Arab translation. This allows the author to describe the structure, the contents and the mathematics of the Arithmetika in detail. Furthermore it is shown that Diophantos had a remarkable skill to solve higher degree equations.In the second part, the author draws our attention to the survival of Diophantos' work in both Arab and European mathematical cultures. Once Xylander's critical 1575 edition reached its European public, the fame of the Arithmetika grew. It was studied, translated and modified by such authors as Bombelli, Stevin and Viète. It reached its pinnacle of fame in 1621 with the publication of Bachet's translation into Latin. The marginal notes by Fermat in his copy of Diophantos, including his famous 'Last Theorem', were the starting point of a whole new research subject: the theory of numbers. 220 pp. Englisch.

Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -GABA (gamma-aminobutyric acid) is the main neurotransmitter regulating sleep. The majority of drugs presently in use for the treatment of sleep disorders act by enhancing GABAergic neuronal inhibition. The GABA system is, therefore, of prime clinical relevance for the therapy of insomnia. The focus of this volume is on the neuropsychopharmacology and the clinical impact of the GABA system in regulating sleep and wakefulness. It presents molecular, neuropharmacological, systems-biological and clinical approaches to the understanding of the mechanism of action of GABA and GABAergic drugs. It also explores the role of GABA in the basic drives that affect sleep, and the influences that adapt sleep and wakefulness to external events. 516 pp. Englisch.

Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -More than fteen years have passed since this book was published in French. Ideally this work, which originated from a doctoral thesis defended in 1990 at the University of Paris Diderot, should have been partially rewritten for the English edition, thereby incorporating the latest research results in its argumentation. But this was not the choice taken, since it would have delayed making this work, which brings together useful information for all those who are interested in wasan and eager to delve more deeply into its tradition, available to the English reader. Indeed, the special feature of this study is to present a high-level mathematical production while at the same time placing it in its historical context. This context here is Tokugawa Japan and, more speci cally, the milieu of the scholars of samurai (warrior) origin. While explaining the indispensable social, economical and poli- cal background, we have not neglected mathematical analysis, since wasan reached its most beautiful results with the two mathematicians Seki Takakazu and Takebe Katahiro. Their works abound in lessons, not only for all those who are interested in the history of algebra and of analysis, but also in epistemological questions. 350 pp. Englisch.

Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -More than fteen years have passed since this book was published in French. Ideally this work, which originated from a doctoral thesis defended in 1990 at the University of Paris Diderot, should have been partially rewritten for the English edition, thereby incorporating the latest research results in its argumentation. But this was not the choice taken, since it would have delayed making this work, which brings together useful information for all those who are interested in wasan and eager to delve more deeply into its tradition, available to the English reader. Indeed, the special feature of this study is to present a high-level mathematical production while at the same time placing it in its historical context. This context here is Tokugawa Japan and, more speci cally, the milieu of the scholars of samurai (warrior) origin. While explaining the indispensable social, economical and poli- cal background, we have not neglected mathematical analysis, since wasan reached its most beautiful results with the two mathematicians Seki Takakazu and Takebe Katahiro. Their works abound in lessons, not only for all those who are interested in the history of algebra and of analysis, but also in epistemological questions.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 404 pp. Englisch.