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Theory of Nonlinear Lattices, Morikazu Toda


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Автор: Morikazu Toda
Название:  Theory of Nonlinear Lattices
ISBN: 9783540183273
Издательство: Springer
Классификация:
ISBN-10: 3540183272
Обложка/Формат: Paperback
Страницы: 225
Вес: 0.34 кг.
Дата издания: 14.11.1988
Серия: Springer Series in Solid-State Sciences
Язык: English
Размер: 234 x 156 x 13
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book. Special attention is focused on exact methods of solution of nonlinear problems and on the exact mathematical treatment of nonlinear lattice vibrations.


Lattices and Ordered Sets

Автор: Steven Roman
Название: Lattices and Ordered Sets
ISBN: 1441927042 ISBN-13(EAN): 9781441927040
Издательство: Springer
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Цена: 9083.00 р.
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Описание: Lattice theory began in the early 1890s, when Richard Dedekind wanted to know the answer to the following question: Given three subgroups EF , and G of an abelian group K, what is the largest number of distinct subgroups that can be formed using these subgroups and the operations of intersection and sum (join), as in E?FssDE?FN?GssE?DF?GN and so on?

Lattices and Ordered Algebraic Structures

Автор: T.S. Blyth
Название: Lattices and Ordered Algebraic Structures
ISBN: 1849969558 ISBN-13(EAN): 9781849969550
Издательство: Springer
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Цена: 9776.00 р.
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Описание: "The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization.

Varieties of Lattices

Автор: Peter Jipsen; Henry Rose
Название: Varieties of Lattices
ISBN: 3540563148 ISBN-13(EAN): 9783540563143
Издательство: Springer
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Цена: 3487.00 р.
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Описание: The aim of this study is to present the main results concerning modular and nonmodular lattice varieties, equational bases and the amalgamation property in a uniform manner. An introductory chapter makes the material accessible to readers with a rudimentary knowledge of universal algebra.

Algebraic and Geometric Methods in Nonlinear Control Theory

Автор: M. Fliess; Michiel Hazewinkel
Название: Algebraic and Geometric Methods in Nonlinear Control Theory
ISBN: 9027722862 ISBN-13(EAN): 9789027722867
Издательство: Springer
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Цена: 18167.00 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. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point"of a Pin'. van GuIik'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; ihe 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.

Lattices, Semigroups, and Universal Algebra

Автор: Jorge Almeida; Gabriela Bordalo; Philip Dwinger
Название: Lattices, Semigroups, and Universal Algebra
ISBN: 1489926100 ISBN-13(EAN): 9781489926104
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Proceedings of an international conference held in Lisbon, Portugal, June 20-24, 1988

Algebraic Methods in Nonlinear Perturbation Theory

Автор: V.N. Bogaevski; A. Povzner
Название: Algebraic Methods in Nonlinear Perturbation Theory
ISBN: 0387974911 ISBN-13(EAN): 9780387974910
Издательство: Springer
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Цена: 18284.00 р.
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Описание: Aimed at those working on perturbation theory in differential equations, this book covers: matrix perturbation theory; systems of ordinary differential equations with small parameter; reconstruction and equations in partial derivatives. It requires only a standard mathematical background for engineers.

Continuous Lattices and Domains

Автор: G. Gierz
Название: Continuous Lattices and Domains
ISBN: 0521803381 ISBN-13(EAN): 9780521803380
Издательство: Cambridge Academ
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Цена: 33739.00 р.
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Описание: Information content and programming semantics are just two of the applications of the mathematical concepts of order, continuity and domains. This authoritative and comprehensive account of the subject will be an essential handbook for all those working in the area.

Theory of Symmetric Lattices

Автор: Fumitomo Maeda; Shuichiro Maeda
Название: Theory of Symmetric Lattices
ISBN: 3642462502 ISBN-13(EAN): 9783642462504
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Of central importance in this book is the concept of modularity in lattices. These lattices are said to be M-sym- metric, and their study forms an extension of the theory of modular lattices. We have a deep theory of parallelism in an affine matroid lattice, a special kind of matroid lattice.

Associahedra, Tamari Lattices and Related Structures

Автор: Folkert M?ller-Hoissen; Jean Marcel Pallo; Jim Sta
Название: Associahedra, Tamari Lattices and Related Structures
ISBN: 3034807961 ISBN-13(EAN): 9783034807968
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari`s thesis. On the occasion of Dov Tamari`s centennial birthday, this book provides an introduction to topical research related to Tamari`s work and ideas.

Homological Algebra: The Interplay Of Homology With Distributive Lattices And Orthodox Semigroups

Автор: Grandis Marco
Название: Homological Algebra: The Interplay Of Homology With Distributive Lattices And Orthodox Semigroups
ISBN: 9814407062 ISBN-13(EAN): 9789814407069
Издательство: World Scientific Publishing
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Цена: 19008.00 р.
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Описание: Explores various aspects of coherence in homological algebra that already appear in the classical situation of abelian groups or abelian categories. This title includes lattices of subobjects that are shown to play an important role in study of homological systems, from simple chain complexes to the structures that give rise to spectral sequences.

Semigroups and Their Subsemigroup Lattices

Автор: L.N. Shevrin; A.J. Ovsyannikov
Название: Semigroups and Their Subsemigroup Lattices
ISBN: 9048147492 ISBN-13(EAN): 9789048147496
Издательство: Springer
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Цена: 19564.00 р.
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Описание: (In certain cases, such as that of semigroups, in order to have the right always to say that SubA is a lattice, we have to treat the empty set as a subsystem.) The study of various inter-relationships between systems and their subsystem lattices is a rather large field of investigation developed over many years.

Sphere Packings, Lattices and Groups

Автор: John Conway; Neil J. A. Sloane
Название: Sphere Packings, Lattices and Groups
ISBN: 1441931341 ISBN-13(EAN): 9781441931344
Издательство: Springer
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Цена: 11313.00 р.
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Описание: We now apply the algorithm above to find the 121 orbits of norm -2 vectors from the (known) nann 0 vectors, and then apply it again to find the 665 orbits of nann -4 vectors from the vectors of nann 0 and -2. The neighbors of a strictly 24 dimensional odd unimodular lattice can be found as follows. If a norm -4 vector v E II . corresponds to the sum 25 1 of a strictly 24 dimensional odd unimodular lattice A and a -dimensional lattice, then there are exactly two nonn-0 vectors of ll25,1 having inner product -2 with v, and these nann 0 vectors correspond to the two even neighbors of A. The enumeration of the odd 24-dimensional lattices. Figure 17.1 shows the neighborhood graph for the Niemeier lattices, which has a node for each Niemeier lattice. If A and B are neighboring Niemeier lattices, there are three integral lattices containing A n B, namely A, B, and an odd unimodular lattice C (cf. Kne4]). An edge is drawn between nodes A and B in Fig. 17.1 for each strictly 24-dimensional unimodular lattice arising in this way. Thus there is a one-to-one correspondence between the strictly 24-dimensional odd unimodular lattices and the edges of our neighborhood graph. The 156 lattices are shown in Table 17 .I. Figure I 7. I also shows the corresponding graphs for dimensions 8 and 16.


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