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Algebraic Methods for Nonlinear Control Systems
A self-contained introduction to algebraic control for nonlinear systems suitable for researchers and graduate students.The most popular treatment of control for nonlinear systems is from the viewpoint of differential geometry yet this approach proves not to be the most natural when considering problems like dynamic feedback and realization. Professors Conte, Moog and Perdon develop an alternative linear-algebraic strategy based on the use of vector spaces over suitable fields of nonlinear functions. This algebraic perspective is complementary to, and parallel in concept with, its more celebrated differential-geometric counterpart.Algebraic Methods for Nonlinear Control Systems describes a wide range of results, some of which can be derived using differential geometry but many of which cannot.
Algebraic Methodology and Software Technology ; 12th International Conference, AMAST 2008 Urbana, IL, USA, July 28-31, 2008 Proceedings
This book constitutes the refereed proceedings of the 12th International Conference on Algebraic Methodology and Software Technology, AMAST 2008, held in Urbana, IL, USA, in July 2008.
Algebraic Methodology and Software Technology ; 11th International Conference, AMAST 2006, Kuressaare, Estonia, July 5-8, 2006, Proceedings
This is the proceedings of the 11th edition of the Algebraic Methodology and Software Technology (AMAST) conference series. The rst conference was held in the USA in 1989, and since then AMAST conferences have been held on (or near) fve diferent continents and have been hosted by many of the most prominent people and organizations in the ?eld. The AMAST initiative has always sought to have practical efects by dev- oping the science of software and basing it on a ?rm mathematical foundation. AMAST hasinterpretedsoftwaretechnologybroadly,andhas, for example, held AMAST workshops in areas as diverse as real-time systems and (natural) l- guage processing. Similarly, algebraic methodology is interpreted broadly and includes abstract algebra, category theory, logic, and a range of other ma- ematical subdisciplines.
Algebraic informatics ; 2nd International conference, CAI 2007, Thessalonkik, Greece, May 21-25, 2007, Revised Selected and Invited Papers
It covers algebraic semantics on graphs and trees, formal power series, syntactic objects, algebraic picture processing, infinite computation, acceptors and transducers for strings, trees, graphs, arrays, etc., and decision problems.
Algebraic Geometry and Number Theory : In Honor of Vladimir Drinfeld's 50th Birthday
One of the most creative mathematicians of our times, Vladimir Drinfeld received the Fields Medal in 1990 for his groundbreaking contributions to the Langlands program and to the theory of quantum groups.These ten original articles by prominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory.
Algebraic Geometry and Geometric Modeling
Algebraic Geometry provides an impressive theory targeting the understanding of geometric objects defined algebraically. Geometric Modeling uses every day, in order to solve practical and difficult problems, digital shapes based on algebraic models. In this book, we have collected articles bridging these two areas. The confrontation of the different points of view results in a better analysis of what the key challenges are and how they can be met. We focus on the following important classes of problems: implicitization, classification, and intersection. The combination of illustrative pictures, explicit computations and review articles will help the reader to handle these subjects.
Algebraic Geometry : An Introduction
The book starts with easily-formulated problems with non-trivial solutions – for example, Bézout’s theorem and the problem of rational curves – and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible by quoting without proof (or proving only in special cases) theorems whose proof is not necessary in practice, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.
Algebraic Cycles, Sheaves, Shtukas, and Moduli : Impanga Lecture Notes
The articles in this volume are devoted to: - moduli of coherent sheaves. - principal bundles and sheaves and their moduli. - new insights into Geometric Invariant Theory. - stacks of shtukas and their compactifications. - algebraic cycles vs. commutative algebra. - Thom polynomials of singularities. - zero schemes of sections of vector bundles.
Algebraic Biology ; 3rd International Conference, AB 2008, Castle of Hagenberg, Austria, July 31-August 2, 2008 Proceedings
This book constitutes the refereed proceedings of the Third International Conference on Algebraic Biology, AB 2008, held at the Castle of Hagenberg, Austria in July 2008 as part of the RISC Summer 2008, organized by the Research Institute for Symbolic Computation.
Algebraic Biology ; 2nd International Conference, AB 2007, Castle of Hagenberg, Austria, July 2-4, 2007, Proceedings
This volume constitutes the refereed proceedings of the Second International Conference on Algebraic Biology. The conference served as an interdisciplinary forum for the presentation of research on all aspects of the application of symbolic computation in biology, including computer algebra, computational logic, and related methods.
Algebraic and Proof-theoretic Aspects of Non-classical Logics : Papers in Honor of Daniele Mundici on the Occasion of His 60th Birthday
It profound connections between logic and such diverse fields of research as functional analysis, probability and measure theory, the geometry of toric varieties, piecewise linear geometry, and error-correcting codes. Several prominent logicians, mathematicians, and computer scientists
Algebra, Meaning, and Computation ; Essays dedicated to Joseph A. Goguen on the Occasion of His 65th Birthday
This Festschrift volume - published to honor Joseph Goguen on his 65th Birthday on June 28, 2006 - includes 32 refereed papers by leading researchers in the different areas spanned by Joseph Goguen's work. The papers address a broad variety of topics from meaning, meta-logic, specification and composition, behavior and formal languages, as well as models, deduction, and computation.The papers were presented at a Symposium in San Diego, California, USA in June 2006.
Algebra and Coalgebra in Computer Science; First International Conference, CALCO 2005, Swansea, UK, September 3-6, 2005, Proceedings
CALCO, the Conference on Algebra and Coal-gebra in Computer Science, was created to bring together researchers and practitio-ners to exchange new results related to foundational aspects, and both traditional and emerging uses of algebras and coalgebras in computer science. CALCO 2005 was the first instance of this new conference. The interest that it generated in the scientific community suggests that it will not be the last. Indeed, it attracted as many as 62 submissions covering a wide range of topics roughly divided into two areas: Algebras and Coalgebras as Mathematical Objects: Automata and languages; categorical semantics; hybrid, probabilistic, and timed systems; inductive and coin-ductive methods; modal logics; relational systems and term rewriting.
Algebra and Coalgebra in Computer Science ; 2nd International Conference, CALCO 2007, Bergen, Norway, August 20-24, 2007, Proceedings
Addressing two basic areas of application for algebras and coalgebras - as mathematical objects as well as in the context of their application in computer science - the papers cover topics such as abstract models and logics, specialised models and calculi, algebraic and coalgebraic semantics, and system specification and verification.
Algebra 3 : Homological Algebra and Its Applications
Includes algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss homology theory in an abelian category together with some important and fundamental applications in geometry, topology, algebraic geometry (including basics in abstract algebraic geometry), and group theory.
Algebra ; Vol. I : Fields and Galois Theory
The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions and algebraic geometry.The main focus of the second volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, diophantine dimensions of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory.
Algebra : Fields with structure, algebras and advanced topics
The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions and algebraic geometry. The main focus of the second volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, the Tsen rank of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory.
Algal Toxins : Nature, Occurrence, Effect and Detection
This volume contains the lectures and seminars given at the NATO Advanced Study Institute on “Sensor Systems for Biological Threads: The Algal Toxins Case”, held in Pisa, Italy in October, 2007. Algae can form heavy growths in ponds, lakes, reservoirs and sl- moving rivers throughout the world; algae can house toxins which are - ually released into water when the cells rupture or die. Hundreds of toxins have been identified so far. Detection methods, including rapid screening, have been developed to help us learning more about them, especially to find out which toxins are a real threat for people and what conditions encourage their production and accumulation. Early detection of algal toxins is an - portant aspect for public safety and natural environment, and significant efforts are underway to develop effective and reliable tools that can be used for this purpose.
Algal Chemical Ecology
This is the first ever book devoted entirely to the chemical ecology of algae. Algae from both marine and freshwater habitats are covered, as are macroalgae (seaweeds) and microalgae (including phytoplankton). While its main emphasis is on the ecological rather than chemical aspects of the field, the book also includes a unique introductory chapter intended as a primer on algal natural products chemistry for ecologists. It elucidates the roles of chemical defenses in various regions and habitats, of DMSP, oxidative burst responses, and herbivore offense. Topics such as algal sensory chemical ecology and defenses against ultraviolet radiation are also treated, and an introduction to the chemical ecology of phytoplankton is provided.
AJCC Cancer Staging Atlas : AJCC Cancer Staging Illustrations in PowerPoint® From the AJCC Cancer Staging Atlas
The AJCC Cancer Staging Atlas contains black-and-white illustrations, created exclusively for the book, depicting the anatomic extent of disease for tumor (T), regional lymph node (N), and distant metastasis (M). The images provide thorough anatomic depictions to clarify critical structures and allow the reader to instantly visualize the progressive extent of malignant disease. Numerous labels identify important anatomic structures.
