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Theorems and Counterexamples in Mathematics, Bernard R. Gelbaum; John M.H. Olmsted


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Автор: Bernard R. Gelbaum; John M.H. Olmsted
Название:  Theorems and Counterexamples in Mathematics
ISBN: 9781461269755
Издательство: Springer
Классификация:
ISBN-10: 146126975X
Обложка/Формат: Paperback
Страницы: 305
Вес: 0.49 кг.
Дата издания: 17.10.2012
Серия: Problem Books in Mathematics
Язык: English
Размер: 235 x 155 x 23
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The contents are intended to provide graduate and ad- vanced undergraduate students as well as the general mathematical public with a modern treatment of some theorems and examples that constitute a rounding out and elaboration of the standard parts of algebra, analysis, geometry, logic, probability, set theory, and topology.


Limit Theorems for Stochastic Processes

Автор: Jacod Jean, Shiryaev Albert N.
Название: Limit Theorems for Stochastic Processes
ISBN: 3540439323 ISBN-13(EAN): 9783540439325
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the two theories has been thoroughly studied. The authors of this Grundlehren volume, two of the international leaders in the field, propose a systematic exposition of convergence in law for stochastic processes, from the point of view of semimartingale theory, with emphasis on results that are useful for mathematical theory and mathematical statistics. This leads them to develop in detail some particularly useful parts of the general theory of stochastic processes, such as martingale problems, and absolute continuity or contiguity results. The book contains an introduction to the theory of martingales and semimartingales, random measures stochastic integrales, Skorokhod topology, etc., as well as a large number of results which have never appeared in book form, and some entirely new results. The second edition contains some additions to the text and references. Some parts are completely rewritten.

The Fundamental Theorems of the Differential Calculus

Автор: Young
Название: The Fundamental Theorems of the Differential Calculus
ISBN: 1107493625 ISBN-13(EAN): 9781107493629
Издательство: Cambridge Academ
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Цена: 3008.00 р.
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Описание: Originally published in 1910 in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book deals with differential calculus and its underlying structures. Appendices on further reading and clarification of certain points are also included. This tract will be of value to anyone with an interest in the history of mathematics or calculus.

Sharp Real-Part Theorems

Автор: Gershon Kresin; T. Shaposhnikova; T. Shaposhnikova
Название: Sharp Real-Part Theorems
ISBN: 3540695737 ISBN-13(EAN): 9783540695738
Издательство: Springer
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Цена: 4186.00 р.
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Описание: This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory.

Counterexamples in Topology

Автор: L.A. Steen; J.A. Jr. Seebach
Название: Counterexamples in Topology
ISBN: 0387903127 ISBN-13(EAN): 9780387903125
Издательство: Springer
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Цена: 12157.00 р.
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Описание: Al- though it would be hazardous to claim that the creation of significant examples is less demanding than the development of theory, we have dis- covered that focusing on examples is a particularly expeditious means of involving undergraduate mathematics students in actual research.

Counterexamples in Topological Vector Spaces

Автор: S.M. Khaleelulla
Название: Counterexamples in Topological Vector Spaces
ISBN: 354011565X ISBN-13(EAN): 9783540115656
Издательство: Springer
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Цена: 3487.00 р.
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Tauberian Theorems for Generalized Functions

Автор: V.S. Vladimirov; Yu.N. Drozzinov; O.I. Zavialov
Название: Tauberian Theorems for Generalized Functions
ISBN: 9401077746 ISBN-13(EAN): 9789401077743
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. The Scandal of Father G. K. Chesterton. 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

An Introduction to Minimax Theorems and Their Applications to Differential Equations

Автор: Maria do Ros?rio Grossinho; Stepan Agop Tersian
Название: An Introduction to Minimax Theorems and Their Applications to Differential Equations
ISBN: 144194849X ISBN-13(EAN): 9781441948496
Издательство: Springer
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Цена: 20956.00 р.
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Описание: This text is meant to be an introduction to critical point theory and its ap- plications to differential equations. It is designed for graduate and postgrad- uate students as well as for specialists in the fields of differential equations, variational methods and optimization. Although related material can be the treatment here has the following main purposes: found in other books, - To present a survey on existing minimax theorems, - To give applications to elliptic differential equations in bounded do- mains and periodic second-order ordinary differential equations, - To consider the dual variational method for problems with continuous and discontinuous nonlinearities, - To present some elements of critical point theory for locally Lipschitz functionals and to give applications to fourth-order differential equa- tions with discontinuous nonlinearities, - To study homo clinic solutions of differential equations via the varia- tional method. The Contents of the book consist of seven chapters, each one divided into several sections. A bibliography is attached to the end of each chapter. In Chapter I, we present minimization theorems and the mountain-pass theorem of Ambrosetti-Rabinowitz and some of its extensions. The con- cept of differentiability of mappings in Banach spaces, the Fnkhet's and Gateaux derivatives, second-order derivatives and general minimization the- orems, variational principles of Ekeland EkI] and Borwein & Preiss BP] are proved and relations to the minimization problem are given. Deformation lemmata, Palais-Smale conditions and mountain-pass theorems are consid- ered.

Vanishing Theorems on Complex Manifolds

Автор: B. Shiffman; Sommese
Название: Vanishing Theorems on Complex Manifolds
ISBN: 148996682X ISBN-13(EAN): 9781489966827
Издательство: Springer
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Цена: 10480.00 р.
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The Noether Theorems

Автор: Bertram E. Schwarzbach; Yvette Kosmann-Schwarzbach
Название: The Noether Theorems
ISBN: 1461427681 ISBN-13(EAN): 9781461427681
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This book carries a translation of Noether`s original paper into English, and then describes the strange history of its reception and the responses to her work. The book clearly shows how long it took to recognize the seminal importance of Noether`s results.

Erd?s–Ko–Rado Theorems: Algebraic Approaches

Автор: Godsil
Название: Erd?s–Ko–Rado Theorems: Algebraic Approaches
ISBN: 1107128447 ISBN-13(EAN): 9781107128446
Издательство: Cambridge Academ
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Цена: 11246.00 р.
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Описание: The Erdos-Ko-Rado Theorem is a fundamental result in combinatorics. Aimed at graduate students and researchers, this comprehensive text shows how tools from algebraic graph theory can be applied to prove the EKR Theorem and its generalizations. Readers can test their understanding at every step with the end-of-chapter exercises.

Theorems and Problems in Functional Analysis

Автор: A. A. Kirillov; H. H. McFaden; A. D. Gvishiani
Название: Theorems and Problems in Functional Analysis
ISBN: 038790638X ISBN-13(EAN): 9780387906386
Издательство: Springer
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Цена: 8378.00 р.
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Описание: Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on.

Uniform Central Limit Theorems

Автор: Dudley
Название: Uniform Central Limit Theorems
ISBN: 0521738415 ISBN-13(EAN): 9780521738415
Издательство: Cambridge Academ
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Цена: 7762.00 р.
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Описание: This second edition of a classic work has been considerably expanded and revised, now with complete proofs of all results, including several new theorems not included in the first edition, such as Talagrand`s generic chaining approach to boundedness of Gaussian processes and Gine and Zinn`s characterization of uniform Donsker classes.


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