Описание: The present book is devoted to a study of relative PrГјfer rings and Manis valuations, with an eye to application in real and p-adic geometry. If one wants to expand on the usual algebraic geometry over a non-algebraically closed base field, e.g. a real closed field or p-adically closed field, one typically meets lots of valuation domains. Usually they are not discrete and hence not noetherian. Thus, for a further develomemt of real algebraic and real analytic geometry in particular, and certainly also rigid analytic and p-adic geometry, new chapters of commutative algebra are needed, often of a non-noetherian nature. The present volume presents one such chapter.
Автор: Ribenboim Paulo Название: Classical Theory of Algebraic Numbers ISBN: 0387950702 ISBN-13(EAN): 9780387950709 Издательство: Springer Рейтинг: Цена: 14849 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book has a clear and thorough exposition of the classical theory of algebraic numbers, and contains a large number of exercises as well as worked out numerical examples. The introduction is a recapitulation of results about principal ideal domains, unique factorization domains and commutative fields. Part one is devoted to residue classes and quadratic residues. In part two one finds the study of algebraic integers, ideals, units, class numbers, the theory of decomposition, inertia and ramification of ideals. part three is devoted to KummerВїs theory of cyclotomic fields, and includes Bernoulli numbers and the proof of FermatВїs Last Theorem for regular prime exponents. Finally, in part four, the emphasis is on analytical methods and it includes DirichletВїs Theorem on primes in arithmetic progressions, the theorem of Chebotarev and class number formulas. A careful study of this book will provide a solid background to the learning of more recent topics, as suggested at the end of the book.
Автор: P. Odifreddi Название: Classical Recursion Theory, ISBN: 0444894837 ISBN-13(EAN): 9780444894830 Издательство: Elsevier Science Рейтинг: Цена: 11130 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Includes a number of applications to logic (in particular Godel`s theorems) and to computer science, for which Recursion Theory provides the theoretical foundation. This book presents a comprehensive reference for the subject starting from first principles.
Автор: P. Odifreddi Название: Classical Recursion Theory, Volume II, ISBN: 044450205X ISBN-13(EAN): 9780444502056 Издательство: Elsevier Science Рейтинг: Цена: 21236 р. Наличие на складе: Поставка под заказ.
Описание: Describes the universe from a local (bottom-up or synthetical) point of view, and covers the whole spectrum, from the recursive to the arithmetical sets. This book presents a detailed picture of the computable sets from the perspective of theoretical computer science. It is suitable for those interested in complexity and computability theory.
Автор: Marcja Annalisa, Toffalori Carlo Название: A Guide to Classical and Modern Model Theory ISBN: 1402013310 ISBN-13(EAN): 9781402013317 Издательство: Springer Рейтинг: Цена: 15591 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Since its birth, Model Theory has been developing a number of methods and concepts that have their intrinsic relevance, but also provide fruitful and notable applications in various fields of Mathematics. It is a lively and fertile research area which deserves the attention of the mathematical world.This volume: -is easily accessible to young people and mathematicians unfamiliar with logic; -gives a terse historical picture of Model Theory; -introduces the latest developments in the area; -provides 'hands-on' proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters.A Guide to Classical and Modern Model Theory is for trainees and professional model theorists, mathematicians working in Algebra and Geometry and young people with a basic knowledge of logic.
Автор: Swindle Название: Valuation and Risk Management in Energy Markets ISBN: 1107539889 ISBN-13(EAN): 9781107539884 Издательство: Cambridge Academ Рейтинг: Цена: 6145 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Valuation and Risk Management in Energy Markets surveys the mechanics of energy markets and the valuation of structures commonly arising in practice. The presentation balances quantitative issues and practicalities facing portfolio managers, with substantial attention paid to the ways in which common methods fail in practice and to alternative methods when they exist. The material spans basic fundamentals of markets, statistical analysis of price dynamics, and a sequence of increasingly challenging structures, concluding with issues arising at the enterprise level. In totality, the material has been selected to provide readers with the analytical foundation required to function in modern energy trading and risk management groups.
Автор: Lam T.Y. Название: Exercises in Classical Ring Theory ISBN: 0387005005 ISBN-13(EAN): 9780387005003 Издательство: Springer Рейтинг: Цена: 19304 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This useful book, which grew out of the author's lectures at Berkeley, presents some 400 exercises of varying degrees of difficulty in classical ring theory, together with complete solutions, background information, historical commentary, bibliographic details, and indications of possible improvements or generalizations. The book should be especially helpful to graduate students as a model of the problem-solving process and an illustration of the applications of different theorems in ring theory. The author also discusses "the folklore of the subject: the `tricks of the trade' in ring theory, which are well known to the experts in the field but may not be familiar to others, and for which there is usually no good reference". The problems are from the following areas: the Wedderburn-Artin theory of semisimple rings, the Jacobson radical, representation theory of groups and algebras, (semi)prime rings, (semi)primitive rings, division rings, ordered rings, (semi)local rings, the theory of idempotents, and (semi)perfect rings. Problems in the areas of module theory, category theory, and rings of quotients are not included, since they will appear in a later book. T. W. Hungerford, Mathematical Reviews
Автор: Doob Joseph L. Название: Classical Potential Theory and Its Probabilistic Counterpart ISBN: 3540412069 ISBN-13(EAN): 9783540412069 Издательство: Springer Рейтинг: Цена: 7424 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From the reviews: "This huge book written in several years by one of the few mathematicians able to do it, appears as a precise and impressive study (not very easy to read) of this bothsided question that replaces, in a coherent way, without being encyclopaedic, a large library of books and papers scattered without a uniform language. Instead of summarizing the author gives his own way of exposition with original complements. This requires no preliminary knowledge. ...The purpose which the author explains in his introduction, i.e. a deep probabilistic interpretation of potential theory and a link between two great theories, appears fulfilled in a masterly manner".M. Brelot in Metrika (1986)
Автор: Remmert Название: Classical Topics in Complex Function Theory ISBN: 0387982213 ISBN-13(EAN): 9780387982212 Издательство: Springer Цена: 10394 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is an ideal text for an advanced course in the theory of complex functions. The author leads the reader to experience function theory personally and
to participate in the work of the creative mathematician. The book contains numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this
discipline has become.
Topics covered include Weierstrass's product theorem, Mittag-Leffler's theorem, the Riemann mapping theorem, and Runge's theorems on
approximation of analytic functions. In addition to these standard topics, the reader will find Eisenstein's proof of Euler's product formula for the sine function; Wielandt's uniqueness
theorem for the gamma function; a detailed discussion of Stirling's formula; Iss'sa's theorem; Besse's proof that all domains in C are domains of holomorphy; Wedderburn's lemma and the
ideal theory of rings of holomorphic functions; Estermann's proofs of the overconvergence theorem and Bloch's theorem; a holomorphic imbedding of
the unit disc in C3; and Gauss's expert opinion of November 1851 on Riemann's dissertation. Remmert elegantly presents the material in short clear sections, with compact proofs and
historical comments interwoven throughout the text.
The abundance of examples, exercises, and historical remarks, as well as the extensive bibliography, will make this book
an invaluable source for students and teachers.
Автор: Kechris Название: Classical Descriptive Set Theory ISBN: 0387943749 ISBN-13(EAN): 9780387943749 Издательство: Springer Рейтинг: Цена: 8903 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and applications, in order to illustrate the general concepts and results of the theory. This text provides a first basic course in classical descriptive set theory and covers material with which mathematicians interested in the subject for its own sake or those that wish to use it in their field should be familiar. Over the years, researchers in diverse areas of mathematics, such as logic and set theory, analysis, topology, probability theory, etc., have brought to the subject of descriptive set theory their own intuitions, concepts, terminology and notation.
Автор: Charles Robert Hadlock Название: Field Theory and its Classical Problems ISBN: 088385032X ISBN-13(EAN): 9780883850329 Издательство: Cambridge Academ Рейтинг: Цена: 5241 р. Наличие на складе: Поставка под заказ.
Описание: Field Theory and its Classical Problems lets Galois theory unfold in a natural way, beginning with the geometric construction problems of antiquity, continuing through the construction of regular n-gons and the properties of roots of unity, and then on to the solvability of polynomial equations by radicals and beyond. The logical pathway is historic, but the terminology is consistent with modern treatments. No previous knowledge of algebra is assumed. Notable topics treated along this route include the transcendence of e and ?, cyclotomic polynomials, polynomials over the integers, Hilbert’s irreducibility theorem, and many other gems in classical mathematics. Historical and bibliographical notes complement the text, and complete solutions are provided to all problems.
Автор: Gaal, Lisl, Название: Classical Galois theory with examples, 2 nd ed. ISBN: 0821813757 ISBN-13(EAN): 9780821813751 Издательство: Oxford Academ Рейтинг: Цена: 6499 р. Наличие на складе: Невозможна поставка.
Описание: Galois theory is one of the most beautiful subjects in mathematics, but it is heard to appreciate this fact fully without seeing specific examples. Numerous examples are therefore included throughout the text, in the hope that they will lead to a deeper understanding and genuine appreciation of the more abstract and advanced literature on Galois theory. This book is intended for beginning graduate students who already have some background in algebra, including some elementary theory of groups, rings and fields. The expositions and proofs are intended to present Galois theory in as simple a manner as possible, sometimes at the expense of brevity. The book is for students and intends to make them take an active part in mathematics rather than merely read, nod their heads at appropriate places, skip the exercises, and continue on to the next section.
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