Handbook of Tilting Theory

Handbook of Tilting Theory

Author: Lidia Angeleri Hügel

Publisher: Cambridge University Press

Published: 2007-01-04

Total Pages: 482

ISBN-13: 9780521680455

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A handbook of key articles providing both an introduction and reference for newcomers and experts alike.


Homological Theory of Representations

Homological Theory of Representations

Author: Henning Krause

Publisher: Cambridge University Press

Published: 2021-11-18

Total Pages: 518

ISBN-13: 1108985815

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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.


Handbook of Medical Imaging

Handbook of Medical Imaging

Author: Jacob Beutel

Publisher: SPIE Press

Published: 2000

Total Pages: 542

ISBN-13: 9780819436214

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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.


Generalized Lie Theory in Mathematics, Physics and Beyond

Generalized Lie Theory in Mathematics, Physics and Beyond

Author: Sergei D. Silvestrov

Publisher: Springer Science & Business Media

Published: 2008-11-18

Total Pages: 308

ISBN-13: 3540853324

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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.


Science, Theory and Clinical Application in Orthopaedic Manual Physical Therapy: Applied Science and Theory

Science, Theory and Clinical Application in Orthopaedic Manual Physical Therapy: Applied Science and Theory

Author: Ola Grimsby

Publisher: Lulu.com

Published: 2008-09-16

Total Pages: 558

ISBN-13: 0615254519

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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.


Feedback Systems

Feedback Systems

Author: Karl Johan Åström

Publisher: Princeton University Press

Published: 2021-02-02

Total Pages:

ISBN-13: 069121347X

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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


Polynomials and the mod 2 Steenrod Algebra

Polynomials and the mod 2 Steenrod Algebra

Author: Grant Walker

Publisher: Cambridge University Press

Published: 2018

Total Pages: 371

ISBN-13: 1108414486

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The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.


Polynomials and the mod 2 Steenrod Algebra

Polynomials and the mod 2 Steenrod Algebra

Author: Grant Walker (Mathematician)

Publisher: Cambridge University Press

Published: 2018

Total Pages: 381

ISBN-13: 1108414451

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This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.