Author : Edgar Dehn
Publisher : Courier Corporation
Page : 225 pages
File Size : 47,6 MB
Release : 2012-09-05
Category : Mathematics
ISBN : 0486155102
Focusing on basics of algebraic theory, this text presents detailed explanations of integral functions, permutations, and groups as well as Lagrange and Galois theory. Many numerical examples with complete solutions. 1930 edition.
Author : Sain
Publisher : Academic Press
Page : 363 pages
File Size : 49,69 MB
Release : 1981-07-23
Category : Computers
ISBN : 0080956599
Introduction to Algebraic System Theory
Author : Diederich Hinrichsen
Publisher : Springer Science & Business Media
Page : 818 pages
File Size : 30,99 MB
Release : 2011-08-03
Category : Mathematics
ISBN : 3540441255
This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.
Author : Joseph Landin
Publisher : Courier Corporation
Page : 275 pages
File Size : 45,81 MB
Release : 2012-08-29
Category : Mathematics
ISBN : 0486150410
This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.
Author : J. Adámek
Publisher : Cambridge University Press
Page : 268 pages
File Size : 43,17 MB
Release : 2010-11-18
Category : Mathematics
ISBN : 9780521119221
Algebraic theories, introduced as a concept in the 1960s, have been a fundamental step towards a categorical view of general algebra. Moreover, they have proved very useful in various areas of mathematics and computer science. This carefully developed book gives a systematic introduction to algebra based on algebraic theories that is accessible to both graduate students and researchers. It will facilitate interactions of general algebra, category theory and computer science. A central concept is that of sifted colimits - that is, those commuting with finite products in sets. The authors prove the duality between algebraic categories and algebraic theories and discuss Morita equivalence between algebraic theories. They also pay special attention to one-sorted algebraic theories and the corresponding concrete algebraic categories over sets, and to S-sorted algebraic theories, which are important in program semantics. The final chapter is devoted to finitary localizations of algebraic categories, a recent research area.
Author : Athanasios C. Antoulas
Publisher : Springer Science & Business Media
Page : 589 pages
File Size : 22,38 MB
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 3662085461
Over the past three decades R.E. Kalman has been one of the most influential personalities in system and control theory. His ideas have been instrumental in a variety of areas. This is a Festschrift honoring his 60th birthday. It contains contributions from leading researchers in the field giving an account of the profound influence of his ideas in a number of areas of active research in system and control theory. For example, since their introduction by Kalman in the early 60's, the concepts of controllability and observability of dynamical systems with inputs, have been the corner stone of the great majority of investigations in the field.
Author : Pal Domosi
Publisher : SIAM
Page : 270 pages
File Size : 19,11 MB
Release : 2005-01-01
Category : Mathematics
ISBN : 9780898718492
Investigates automata networks as algebraic structures and develops their theory in line with other algebraic theories, such as those of semigroups, groups, rings, and fields. The authors also investigate automata networks as products of automata, that is, as compositions of automata obtained by cascading without feedback or with feedback of various restricted types or, most generally, with the feedback dependencies controlled by an arbitrary directed graph. They survey and extend the fundamental results in regard to automata networks, including the main decomposition theorems of Letichevsky, of Krohn and Rhodes, and of others.
Author : Róbert Hermann
Publisher : Math-Sci Press
Page : 282 pages
File Size : 16,69 MB
Release : 1974
Category : Mathematics
ISBN : 9780915692071
Author : J.C. Willems
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 34,93 MB
Release : 2013-11-11
Category : Mathematics
ISBN : 1475729537
Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. The first part analyses the structure of the set of trajectories generated by such dynamical systems, and derives the conditions for two systems of differential equations to be equivalent in the sense that they define the same behaviour. In addition the memory structure of the system is analysed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. In the third part, control problems are considered, in particular stabilisation and pole placement questions. Suitable for advanced undergraduate or beginning graduate students in mathematics and engineering, this text contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.
Author : Steven Dale Cutkosky
Publisher : American Mathematical Soc.
Page : 498 pages
File Size : 38,55 MB
Release : 2018-06-01
Category : Mathematics
ISBN : 1470435187
This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.
