Algebraic Equations

Algebraic Equations PDF Author: Edgar Dehn
Publisher: Courier Corporation
ISBN: 0486155102
Category : Mathematics
Languages : en
Pages : 225

Get Book Here

Book Description
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.

Algebraic Equations

Algebraic Equations PDF Author: Edgar Dehn
Publisher: Courier Corporation
ISBN: 0486155102
Category : Mathematics
Languages : en
Pages : 225

Get Book Here

Book Description
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.

Introduction to Algebraic System Theory

Introduction to Algebraic System Theory PDF Author: Sain
Publisher: Academic Press
ISBN: 0080956599
Category : Computers
Languages : en
Pages : 363

Get Book Here

Book Description
Introduction to Algebraic System Theory

Mathematical Systems Theory I

Mathematical Systems Theory I PDF Author: Diederich Hinrichsen
Publisher: Springer Science & Business Media
ISBN: 3540441255
Category : Mathematics
Languages : en
Pages : 818

Get Book Here

Book Description
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.

An Introduction to Algebraic Structures

An Introduction to Algebraic Structures PDF Author: Joseph Landin
Publisher: Courier Corporation
ISBN: 0486150410
Category : Mathematics
Languages : en
Pages : 275

Get Book Here

Book Description
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.

Algebraic Theories

Algebraic Theories PDF Author: J. Adámek
Publisher: Cambridge University Press
ISBN: 9780521119221
Category : Mathematics
Languages : en
Pages : 268

Get Book Here

Book Description
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.

Mathematical System Theory

Mathematical System Theory PDF Author: Athanasios C. Antoulas
Publisher: Springer Science & Business Media
ISBN: 3662085461
Category : Technology & Engineering
Languages : en
Pages : 589

Get Book Here

Book Description
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.

Algebraic Theory of Automata Networks

Algebraic Theory of Automata Networks PDF Author: Pal Domosi
Publisher: SIAM
ISBN: 9780898718492
Category : Mathematics
Languages : en
Pages : 270

Get Book Here

Book Description
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.

Introduction to Algebraic Geometry

Introduction to Algebraic Geometry PDF Author: Steven Dale Cutkosky
Publisher: American Mathematical Soc.
ISBN: 1470435187
Category : Mathematics
Languages : en
Pages : 498

Get Book Here

Book Description
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.

Introduction to Applied Algebraic Systems

Introduction to Applied Algebraic Systems PDF Author: Norman R Reilly
Publisher: Oxford University Press
ISBN: 0199709920
Category : Mathematics
Languages : en
Pages : 524

Get Book Here

Book Description
This upper-level undergraduate textbook provides a modern view of algebra with an eye to new applications that have arisen in recent years. A rigorous introduction to basic number theory, rings, fields, polynomial theory, groups, algebraic geometry and elliptic curves prepares students for exploring their practical applications related to storing, securing, retrieving and communicating information in the electronic world. It will serve as a textbook for an undergraduate course in algebra with a strong emphasis on applications. The book offers a brief introduction to elementary number theory as well as a fairly complete discussion of major algebraic systems (such as rings, fields, and groups) with a view of their use in bar coding, public key cryptosystems, error-correcting codes, counting techniques, and elliptic key cryptography. This is the only entry level text for algebraic systems that includes an extensive introduction to elliptic curves, a topic that has leaped to prominence due to its importance in the solution of Fermats Last Theorem and its incorporation into the rapidly expanding applications of elliptic curve cryptography in smart cards. Computer science students will appreciate the strong emphasis on the theory of polynomials, algebraic geometry and Groebner bases. The combination of a rigorous introduction to abstract algebra with a thorough coverage of its applications makes this book truly unique.

Linear Systems Theory & Introductory Algebraic Geometry

Linear Systems Theory & Introductory Algebraic Geometry PDF Author: Róbert Hermann
Publisher: Math-Sci Press
ISBN: 9780915692071
Category : Mathematics
Languages : en
Pages : 282

Get Book Here

Book Description