| Author | : Lidia Angeleri Hügel |
| Publisher | : Cambridge University Press |
| Total Pages | : 482 |
| Release | : 2007-01-04 |
| Genre | : Mathematics |
| ISBN | : 9780521680455 |
A handbook of key articles providing both an introduction and reference for newcomers and experts alike.
| Author | : Henning Krause |
| Publisher | : Cambridge University Press |
| Total Pages | : 518 |
| Release | : 2021-11-18 |
| Genre | : Mathematics |
| ISBN | : 1108985815 |
Modern developments in representation theory rely heavily on homological methods. This book for advanced graduate students and researchers introduces these methods from their foundations up and discusses several landmark results that illustrate their power and beauty. Categorical foundations include abelian and derived categories, with an emphasis on localisation, spectra, and purity. The representation theoretic focus is on module categories of Artin algebras, with discussions of the representation theory of finite groups and finite quivers. Also covered are Gorenstein and quasi-hereditary algebras, including Schur algebras, which model polynomial representations of general linear groups, and the Morita theory of derived categories via tilting objects. The final part is devoted to a systematic introduction to the theory of purity for locally finitely presented categories, covering pure-injectives, definable subcategories, and Ziegler spectra. With its clear, detailed exposition of important topics in modern representation theory, many of which were unavailable in one volume until now, it deserves a place in every representation theorist's library.
| Author | : Jacob Beutel |
| Publisher | : SPIE Press |
| Total Pages | : 542 |
| Release | : 2000 |
| Genre | : Diagnostic imaging |
| ISBN | : 9780819436214 |
This volume describes concurrent engineering developments that affect or are expected to influence future development of digital diagnostic imaging. It also covers current developments in Picture Archiving and Communications System (PACS) technology, with particular emphasis on integration of emerging imaging technologies into the hospital environment.
| Author | : Abdenacer Makhlouf |
| Publisher | : John Wiley & Sons |
| Total Pages | : 370 |
| Release | : 2021-05-11 |
| Genre | : Mathematics |
| ISBN | : 1789450179 |
This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the first of three volumes specifically focusing on algebra and its applications. Algebra and Applications 1 centers on non-associative algebras and includes an introduction to derived categories. The chapters are written by recognized experts in the field, providing insight into new trends, as well as a comprehensive introduction to the theory. The book incorporates self-contained surveys with the main results, applications and perspectives. The chapters in this volume cover a wide variety of algebraic structures and their related topics. Jordan superalgebras, Lie algebras, composition algebras, graded division algebras, non-associative C*- algebras, H*-algebras, Krichever-Novikov type algebras, preLie algebras and related structures, geometric structures on 3-Lie algebras and derived categories are all explored. Algebra and Applications 1 is of great interest to graduate students and researchers. Each chapter combines some of the features of both a graduate level textbook and of research level surveys.
| Author | : Ola Grimsby |
| Publisher | : Lulu.com |
| Total Pages | : 558 |
| Release | : 2008-09-16 |
| Genre | : Science |
| ISBN | : 0615254519 |
This long awaited textbook from The Ola Grimsby Institute provides decades of clinical experience and reasoning, with both historical and current evidence, with rationale for both passive and active treatments in orthopaedic manual therapy. Practical guidelines for joint mobilization and exercise rehabilitation are presented with this logical and exciting work. Incorporating experience and science, this book provides new approaches and treatment principles to make what you already do more effective. Extensive Content: Over 535 pages and 275 illustrations, photographs and tables Ola Grimsby and his co-authors have compiled a significant resource for the practicing physical therapist, manual therapist or osteopath.
| Author | : Sergei D. Silvestrov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 308 |
| Release | : 2008-11-18 |
| Genre | : Mathematics |
| ISBN | : 3540853324 |
This book explores the cutting edge of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics.
| Author | : Karl Johan Åström |
| Publisher | : Princeton University Press |
| Total Pages | : |
| Release | : 2021-02-02 |
| Genre | : Technology & Engineering |
| ISBN | : 069121347X |
The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory
| Author | : Michael J Neale |
| Publisher | : Elsevier |
| Total Pages | : 577 |
| Release | : 1995-12-15 |
| Genre | : Technology & Engineering |
| ISBN | : 0080519660 |
The renowned reference work is a practical guide to the selection and design of the components of machines and to their lubrication. It has been completely revised for this second edition by leading experts in the area.
| Author | : Apostolos Beligiannis |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 224 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 0821839969 |
In this paper the authors investigate homological and homotopical aspects of a concept of torsion which is general enough to cover torsion and cotorsion pairs in abelian categories, $t$-structures and recollements in triangulated categories, and torsion pairs in stable categories. The proper conceptual framework for this study is the general setting of pretriangulated categories, an omnipresent class of additive categories which includes abelian, triangulated, stable, and moregenerally (homotopy categories of) closed model categories in the sense of Quillen, as special cases. The main focus of their study is on the investigation of the strong connections and the interplay between (co)torsion pairs and tilting theory in abelian, triangulated and stable categories on one hand,and universal cohomology theories induced by torsion pairs on the other hand. These new universal cohomology theories provide a natural generalization of the Tate-Vogel (co)homology theory. The authors also study the connections between torsion theories and closed model structures, which allow them to classify all cotorsion pairs in an abelian category and all torsion pairs in a stable category, in homotopical terms. For instance they obtain a classification of (co)tilting modules along theselines. Finally they give torsion theoretic applications to the structure of Gorenstein and Cohen-Macaulay categories, which provide a natural generalization of Gorenstein and Cohen-Macaulay rings.
