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A user`s guide to spectral sequences, John McCleary



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Автор: John McCleary
Название:  A user`s guide to spectral sequences   (Руководство пользователя по спектральным последовательностям)
Издательство: Cambridge Academ
Классификация:
Алгебра
Исчисление и математический анализ

ISBN: 0521567599
ISBN-13(EAN): 9780521567596
ISBN: 0-521-56759-9
ISBN-13(EAN): 978-0-521-56759-6
Обложка/Формат: Paperback
Страницы: 560
Вес: 0.864 кг.
Дата издания: 27.11.2000
Серия: Cambridge Studies in Advanced Mathematics
Язык: English
Издание: 2 rev ed
Иллюстрации: 48 line figures
Размер: 230 x 153 x 36
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: Spectral sequences are among the most elegant, most powerful, and most complicated methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first third of the book treats the algebraic foundations for this sort of homological algebra, starting from informal calculations, to give the novice a familiarity with the range of applications possible. The heart of the book is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.
Дополнительное описание: Subject: Mathematics / Topology and Geometry
Readership: geometry, topology, algebra
Level: graduate students
Format: 228 x 152 mm 560pp 48 line diagrams
Chapter Titles: Part I. Algebra: 1. An informal introduction; 2. What is a spectral sequence?; 3. Tools and examples; Part II. Topology: 4. Topological background; 5. The Leray–Serre spectral sequence I; 6. The Leray–Serre spectral sequence II; 7. The Eilenberg–Moore spectral sequence I; 8. The Eilenberg–Moore spectral sequence II; 9. The Adams spectral sequence; 10. The Bockstein spectral sequence; Part III. Sins of Omission: 11. Spectral sequences in algebra, algebraic geometry and algebraic K-theory; 12. More spectral sequences in topology.





A User`s Guide to Spectral Sequences

Автор: McCleary
Название: A User`s Guide to Spectral Sequences
ISBN: 0521561418 ISBN-13(EAN): 9780521561419
Издательство: Cambridge Academ
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Цена: 11274 р.
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Описание: This book describes some of the most important examples of spectral sequences and some of their most spectacular applications.

Stationary Sequences and Random Fields

Автор: Rosenblatt
Название: Stationary Sequences and Random Fields
ISBN: 0817632646 ISBN-13(EAN): 9780817632649
Издательство: Springer
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Цена: 10971 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Spectral Methods for Incompressible Viscous Flow

Автор: Peyret Roger
Название: Spectral Methods for Incompressible Viscous Flow
ISBN: 0387952217 ISBN-13(EAN): 9780387952215
Издательство: Springer
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Цена: 8359 р.
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Описание: This well-written book explains the theory of spectral methods and their application to the computation of viscous incompressible fluid flow, in clear and elementary terms. With many examples throughout, the work will be useful to those teaching at the graduate level, as well as to researchers working in the area.

Spectral Analysis of Quantum Hamiltonians

Автор: Benguria
Название: Spectral Analysis of Quantum Hamiltonians
ISBN: 303480413X ISBN-13(EAN): 9783034804134
Издательство: Springer
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Цена: 14629 р.
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Описание: This volume contains surveys as well as research articles broadly centered on spectral analysis. Topics range from spectral continuity for magnetic and pseudodifferential operators to localization in random media, from the stability of matter to properties of Aharonov-Bohm and Quantum Hall Hamiltonians, from waveguides and resonances to supersymmetric models and dissipative fermion systems. This is the first  of a series of volumes reporting every two years on recent progress in spectral theory.?

Quaternions and rotation sequences

Автор: Kuipers, J.b.
Название: Quaternions and rotation sequences
ISBN: 0691102988 ISBN-13(EAN): 9780691102986
Издательство: Wiley
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Цена: 9471 р.
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Описание: Introduces quaternions for scientists and engineers, and shows how they can be used in a variety of practical situations. This book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. It also presents the conventional and familiar 3 x 3 (9-element) matrix rotation operator.

Sequences and Their Applications - SETA 2008

Автор: Solomon W. Golomb; Matthew G. Parker; Alexander Po
Название: Sequences and Their Applications - SETA 2008
ISBN: 354085911X ISBN-13(EAN): 9783540859116
Издательство: Springer
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Цена: 9090 р.
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Описание: Constitutes the proceedings of the 5th International Conference on Sequences and Their Applications, SETA 2008, held in Lexington, KY, USA in September 2008. This book contains the papers that are organized in topical sections on probabilistic methods and randomness properties of sequences; correlation; and combinatorial and algebraic foundations.

Algebraic Shift Register Sequences

Автор: Goresky
Название: Algebraic Shift Register Sequences
ISBN: 1107014999 ISBN-13(EAN): 9781107014992
Издательство: Cambridge Academ
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Цена: 8397 р.
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Описание: Pseudo-random sequences are essential ingredients of every modern digital communication system including cellular telephones, GPS, secure internet transactions and satellite imagery. Each application requires pseudo-random sequences with specific statistical properties. This book describes the design, mathematical analysis and implementation of pseudo-random sequences, particularly those generated by shift registers and related architectures such as feedback-with-carry shift registers. The earlier chapters may be used as a textbook in an advanced undergraduate mathematics course or a graduate electrical engineering course; the more advanced chapters provide a reference work for researchers in the field. Background material from algebra, beginning with elementary group theory, is provided in an appendix.

Counterexamples on Uniform Convergence: Sequences,  Series, Functions, and Integrals

Автор: Bourchtein
Название: Counterexamples on Uniform Convergence: Sequences, Series, Functions, and Integrals
ISBN: 1119303389 ISBN-13(EAN): 9781119303381
Издательство: Wiley
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Цена: 7733 р.
Наличие на складе: Поставка под заказ.

Описание: This book presents counter examples to false statements typically found within the study of mathematical analysis, real analysis, and calculus, all of which are related to infinite sequences, series of functions, and functions and integrals depending on a parameter.

Digital Nets and Sequences

Автор: Dick
Название: Digital Nets and Sequences
ISBN: 0521191599 ISBN-13(EAN): 9780521191593
Издательство: Cambridge Academ
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Цена: 8742 р.
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Описание: Indispensable for students, invaluable for researchers, this comprehensive treatment of contemporary quasi–Monte Carlo methods, digital nets and sequences, and discrepancy theory starts from scratch with detailed explanations of the basic concepts and then advances to current methods used in research. As deterministic versions of the Monte Carlo method, quasi–Monte Carlo rules have increased in popularity, with many fruitful applications in mathematical practice. These rules require nodes with good uniform distribution properties, and digital nets and sequences in the sense of Niederreiter are known to be excellent candidates. Besides the classical theory, the book contains chapters on reproducing kernel Hilbert spaces and weighted integration, duality theory for digital nets, polynomial lattice rules, the newest constructions by Niederreiter and Xing and many more. The authors present an accessible introduction to the subject based mainly on material taught in undergraduate courses with numerous examples, exercises and illustrations.

Average Case Analysis of Algorithms on Sequences

Автор: Wojciech Szpankowski
Название: Average Case Analysis of Algorithms on Sequences
ISBN: 047124063X ISBN-13(EAN): 9780471240631
Издательство: Wiley
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Цена: 19289 р.
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Описание: This is a timely book on a topic that has witnessed a surge of interest over the last decade, owing in part to several novel applications, most notably in data compression and computational molecular biology. It describes methods employed in average case analysis of algorithms, combining both analytical and probabilistic tools in a single volume. Tools are illustrated through problems on words with applications to molecular biology, data compression, security, and pattern matching. The book includes chapters on algorithms and data structures on words, probabilistic and analytical models, inclusion-exclusion principles, first and second moment methods, subadditive ergodic theorem and large deviations, elements of information theory, generating functions, complex asymptotic methods, Mellin transform and its applications, and analytic poissonization and depoissonization. It is written by an established researcher with a strong international reputation in theeld.

Spectral Means Of Central Values Of Automorphic $L$-Functions For Gl(2) (Memo/235/1110)

Автор: Tsuzuki
Название: Spectral Means Of Central Values Of Automorphic $L$-Functions For Gl(2) (Memo/235/1110)
ISBN: 1470410192 ISBN-13(EAN): 9781470410193
Издательство: Eurospan
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Цена: 10686 р.
Наличие на складе: Невозможна поставка.

Описание: Starting with Green's functions on adele points of $\mathrm{GL}(2)$ considered over a totally real number field, the author elaborates an explicit version of the relative trace formula, whose spectral side encodes the informaton on period integrals of cuspidal waveforms along a maximal split torus. As an application, he proves two kinds of asymptotic mean formula for certain central $L$-values attached to cuspidal waveforms with square-free level.

Spectral Radius of Graphs

Автор: Stevanovi? Dragan
Название: Spectral Radius of Graphs
ISBN: 0128020687 ISBN-13(EAN): 9780128020685
Издательство: Elsevier Science
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Цена: 4070 р.
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Описание: Spectral Radius of Graphs provides a thorough overview of important results on the spectral radius of adjacency matrix of graphs that have appeared in the literature in the preceding ten years, most of them with proofs, and including some previously unpublished results of the author. The primer begins with a brief classical review, in order to provide the reader with a foundation for the subsequent chapters. Topics covered include spectral decomposition, the Perron-Frobenius theorem, the Rayleigh quotient, the Weyl inequalities, and the Interlacing theorem. From this introduction, the book delves deeper into the properties of the principal eigenvector; a critical subject as many of the results on the spectral radius of graphs rely on the properties of the principal eigenvector for their proofs. A following chapter surveys spectral radius of special graphs, covering multipartite graphs, non-regular graphs, planar graphs, threshold graphs, and others. Finally, the work explores results on the structure of graphs having extreme spectral radius in classes of graphs defined by fixing the value of a particular, integer-valued graph invariant, such as: the diameter, the radius, the domination number, the matching number, the clique number, the independence number, the chromatic number or the sequence of vertex degrees. . Throughout, the text includes the valuable addition of proofs to accompany the majority of presented results. This enables the reader to learn tricks of the trade and easily see if some of the techniques apply to a current research problem, without having to spend time on searching for the original articles. The book also contains a handful of open problems on the topic that might provide initiative for the reader's research.


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