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Symmetric Bilinear Forms, John Milnor; Dale Husemoller


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Автор: John Milnor; Dale Husemoller
Название:  Symmetric Bilinear Forms
ISBN: 9783642883323
Издательство: Springer
Классификация: ISBN-10: 364288332X
Обложка/Формат: Paperback
Страницы: 150
Вес: 0.26 кг.
Дата издания: 18.04.2014
Серия: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
Язык: English
Размер: 244 x 170 x 9
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The theory cf quadratic forms and the intimately related theory of sym- metrie bilinear forms have a lang and rich his tory, highlighted by the work of Legendre, Gauss, Minkowski, and Hasse. (Compare Dickson] and Bourbaki, 24, p. 185].) Our exposition will concentrate on the rela- tively recent developments which begin with and are inspired by Witts 1937 paper Theorie der quadratischen Formen in beliebigen K rpern. We will be particularly interested in the work of A. Pfister and M. Knebusch. However, some older material will be described, particularly in Chapter II. The presentation is based on lectures by Milnor at the Institute for Ad- vanced Study, and at Haverford College under the Phillips Lecture Pro- gram, during the Fall of 1970, as weIl as Iectures at Princeton University il1 1966. We want to thank J. Cunningham, M. Knebusch, M. Kneser, A. Rosenberg, W. Scharlau and J.-P. Serre for helpful suggestions and corrections. Prerequisites. The reader should be familiar with the rudiments of algebra., incJuding for example the concept of tensor product for mo- dules over a commutative ring. A few individual sections will require quite a bit more. The logical relationship between the various chapters can be roughly described by the diagram below. There are also five appendices, largely self-contained, which treat special topics. I. Arbitrary commutative rings I H. The ring of V. Miscellaneous IIl. Fields integers examples IV. Dedekind domains Contents Chapter r. Basie Coneepts . . . . . . . .


Optimization and Control of Bilinear Systems

Автор: Panos Pardalos; Vitaliy A. Yatsenko
Название: Optimization and Control of Bilinear Systems
ISBN: 1441944680 ISBN-13(EAN): 9781441944689
Издательство: Springer
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Цена: 21661.00 р.
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Описание: The aim of this book is to acquaint the reader with developments in bilinear systems theory and its applications. Bilinear systems can be used to represent a wide range of physical, chemical, biological, and social systems, as well as manufacturing processes.

Computational Complexity of Bilinear Forms

Автор: Hari Krishna
Название: Computational Complexity of Bilinear Forms
ISBN: 3540176616 ISBN-13(EAN): 9783540176619
Издательство: Springer
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Цена: 12157.00 р.
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Bilinear Forms and Zonal Polynomials

Автор: Arak M. Mathai; Serge B. Provost; Takesi Hayakawa
Название: Bilinear Forms and Zonal Polynomials
ISBN: 0387945229 ISBN-13(EAN): 9780387945224
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Deals with bilinear forms in real random vectors and their generalizations. This monograph shows how zonal polynomials may be used to analyze such forms and thus to apply these concepts in a variety of statistical settings.

Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete

Автор: Ludwig Faddeev; Pierre Van Moerbeke; Franklin Lamb
Название: Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete
ISBN: 1402035012 ISBN-13(EAN): 9781402035012
Издательство: Springer
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Цена: 28929.00 р.
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Описание: On April 29, 1814 Napoleon landed on the island of Elba, surrounded with a personal army of 1200 men. The allies, Russia, Prussia, England and Austria, hadforcedhimintoexileafteranumberofverycostlydefeats;hewasdeprived ofallhistitles, butcouldkeepthetitleof"EmperorofElba". Historytellsusthat each morning he took long walks in the sun, reviewed his army each midday anddiscussedworldmatterswithnewlyappointedadvisors, followingthesame pattern everyday, to the great surprise of Campbell, the British of?cer who was to keep an eye on him. All this made everyone believe he was settled there for good. Napoleononcesaid: Elbaisbeautiful, butabitsmall. Elbawasde?nitely a source of inspiration; indeed, the early morning, March 6, 1815, Metternich, the chancellor of Austria was woken up by one of his aides with the stunning news that Napoleon had left Elba with his 1200 men and was marching to Paris with little resistance; A few days later he took up his throne again in the Tuileries. In spite of his insatiable hunger for battles and expansion, he is remembered as an important statesman. He was a pioneer in setting up much of the legal, administrative and political machinery in large parts of continental Europe. We gathered here in a lovely and quaint ?shing port, Marciana Marina on theislandofElba, tocelebrateoneofthepioneersofintegrablesystems, Hirota Sensei, andthisattheoccasionofhisseventiethbirthday. Trainedasaphysicist in his home university Kyushu University, Professor Hirota earned his PhD in '61 at Northwestern University with Professor Siegert in the ?eld of "Quantum Statistical mechanics". He wrote a widely appreciated Doctoral dissertation on "FunctionalIntegralrepresentationofthegrandpartitionfunction".

Linear Optimal Control of Bilinear Systems

Автор: Zijad Aganovic; Zoran Gajic
Название: Linear Optimal Control of Bilinear Systems
ISBN: 3540199764 ISBN-13(EAN): 9783540199762
Издательство: Springer
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Описание: This book is designed to be a comprehensive treatment of linear methods to optimal control of bilinear systems. The book also examines two special classes of bilinear-quadratic control problems: namely singularly perturbed and weakly coupled bilinear control systems.

Bilinear Control Systems

Автор: David Elliott
Название: Bilinear Control Systems
ISBN: 9048181690 ISBN-13(EAN): 9789048181698
Издательство: Springer
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Цена: 12157.00 р.
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Описание: The mathematical theory of control became a ?eld of study half a century ago in attempts to clarify and organize some challenging practical problems and the methods used to solve them. It is known for the breadth of the mathematics it uses and its cross-disciplinary vigor. Its literature, which can befoundinSection93ofMathematicalReviews, wasatonetimedominatedby the theory of linear control systems, which mathematically are described by linear di?erential equations forced by additive control inputs. That theory led to well-regarded numerical and symbolic computational packages for control analysis and design. Nonlinear control problems are also important; in these either the - derlying dynamical system is nonlinear or the controls are applied in a n- additiveway.Thelastfourdecadeshaveseenthedevelopmentoftheoretical work on nonlinear control problems based on di?erential manifold theory, nonlinear analysis, and several other mathematical disciplines. Many of the problems that had been solved in linear control theory, plus others that are new and distinctly nonlinear, have been addressed; some resulting general de?nitions and theorems are adapted in this book to the bilinear case

Analytic-Bilinear Approach to Integrable Hierarchies

Автор: L.V. Bogdanov
Название: Analytic-Bilinear Approach to Integrable Hierarchies
ISBN: 9401059225 ISBN-13(EAN): 9789401059220
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The subject of this book is the hierarchies of integrable equations connected with the one-component and multi component loop groups. There are many publications on this subject, and it is rather well defined. Thus, the author would like t.o explain why he has taken the risk of revisiting the subject. The Sato Grassmannian approach, and other approaches standard in this context, reveal deep mathematical structures in the base of the integrable hi- erarchies. These approaches concentrate mostly on the algebraic picture, and they use a language suitable for applications to quantum field theory. Another well-known approach, the a-dressing method, developed by S. V. Manakov and V.E. Zakharov, is oriented mostly to particular systems and ex- act classes of their solutions. There is more emphasis on analytic properties, and the technique is connected with standard complex analysis. The language of the a-dressing method is suitable for applications to integrable nonlinear PDEs, integrable nonlinear discrete equations, and, as recently discovered, for t.he applications of integrable systems to continuous and discret.e geometry. The primary motivation of the author was to formalize the approach to int.e- grable hierarchies that was developed in the context of the a-dressing method, preserving the analytic struetures characteristic for this method, but omitting the peculiarit.ies of the construetive scheme. And it was desirable to find a start.-

An Introduction to Bispectral Analysis and Bilinear Time Series Models

Автор: T.S. Rao; M.M. Gabr
Название: An Introduction to Bispectral Analysis and Bilinear Time Series Models
ISBN: 0387960392 ISBN-13(EAN): 9780387960395
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The theory of time series models has been well developed over the last thirt,y years. The most interesting feature of such a model is that its second order covariance analysis is ve~ similar to that for a linear model. This demonstrates the importance of higher order covariance analysis for nonlinear models.

Singular Bilinear Integrals

Автор: Jefferies Brian Raymond Frederick
Название: Singular Bilinear Integrals
ISBN: 9813207574 ISBN-13(EAN): 9789813207578
Издательство: World Scientific Publishing
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Цена: 12830.00 р.
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Описание: 'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.'Mathematical ReviewsThe integration of vector valued functions with respect to vector valued measures, especially spectral measures, is developed in view of applications in operator theory, scattering theory and semiclassical approximation in quantum physics. New techniques are developed for bilinear integration in cases where the classical approach does not apply.

Theory of Bilinear Dynamical Systems

Автор: Antonio Ruberti; Alberto Isidori; Paolo D`Alessand
Название: Theory of Bilinear Dynamical Systems
ISBN: 3211812067 ISBN-13(EAN): 9783211812068
Издательство: Springer
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Lectures on the Complexity of Bilinear Problems

Автор: Hans F. de Groote
Название: Lectures on the Complexity of Bilinear Problems
ISBN: 354017205X ISBN-13(EAN): 9783540172055
Издательство: Springer
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Цена: 8384.00 р.
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Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis

Автор: Gy?rgy Terdik
Название: Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis
ISBN: 0387988726 ISBN-13(EAN): 9780387988726
Издательство: Springer
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Цена: 14673.00 р.
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Описание: The first two chapters are devoted to the basic theory of nonlinear functions of stationary Gaussian processes, Hermite polynomials, cumulants and higher order spectra, multiple Wiener-Ito integrals and finally chaotic Wiener-Ito spectral representation of subordinated processes.


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