This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models.
Автор: Harald Niederreiter, Alina Ostafe, Daniel Panario, Название: Algebraic Curves and Finite Fields: Cryptography and Other Applications ISBN: 3110317885 ISBN-13(EAN): 9783110317886 Издательство: Walter de Gruyter Цена: 173490.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Algebra and number theory have always been counted among the most beautiful and fundamental mathematical areas with deep proofs and elegant results. However, for a long time they were not considered of any substantial importance for real-life applications. This has dramatically changed with the appearance of new topics such as modern cryptography, coding theory, and wireless communication. Nowadays we find applications of algebra and number theory frequently in our daily life. We mention security and error detection for internet banking, check digit systems and the bar code, GPS and radar systems, pricing options at a stock market, and noise suppression on mobile phones as most common examples. This book collects the results of the workshops "Applications of algebraic curves" and "Applications of finite fields" of the RICAM Special Semester 2013. These workshops brought together the most prominent researchers in the area of finite fields and their applications around the world. They address old and new problems on curves and other aspects of finite fields, with emphasis on their diverse applications to many areas of pure and applied mathematics.
Автор: Adhikari Название: Basic Algebraic Topology and its Applications ISBN: 8132228413 ISBN-13(EAN): 9788132228417 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book provides an accessible introduction to algebraic topology, a ?eld at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book o?ers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike.
Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.
Автор: Ciro Ciliberto; Friedrich Hirzebruch; Rick Miranda Название: Applications of Algebraic Geometry to Coding Theory, Physics and Computation ISBN: 1402000049 ISBN-13(EAN): 9781402000041 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Proceedings of the NATO Advanced Research Workshop, held in Eilat, Israel, from 25th February to 1st March 2001
Автор: Mihai Putinar; Seth Sullivant Название: Emerging Applications of Algebraic Geometry ISBN: 038709685X ISBN-13(EAN): 9780387096858 Издательство: Springer Рейтинг: Цена: 163040.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presents an introductory material for topics covered in the IMA workshops on `Optimization and Control` and `Applications in Biology, Dynamics, and Statistics` held during the IMA year on Applications of Algebraic Geometry. This title also presents a fresh direction towards a study of non-commutative real algebraic geometry.
Автор: Mihai Putinar; Seth Sullivant Название: Emerging Applications of Algebraic Geometry ISBN: 1441918817 ISBN-13(EAN): 9781441918819 Издательство: Springer Рейтинг: Цена: 163040.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Advances in computational algebraic geometry have led to new applications in many fields. This text covers these applications and also material from IMA workshops on "Optimization and Control," and "Applications in Biology, Dynamics and Statistics."
Автор: Sofia Lambropoulou; Doros Theodorou; Petros Stefan Название: Algebraic Modeling of Topological and Computational Structures and Applications ISBN: 3319681028 ISBN-13(EAN): 9783319681023 Издательство: Springer Рейтинг: Цена: 149060.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging).
Автор: S. Lefschetz Название: Applications of Algebraic Topology ISBN: 038790137X ISBN-13(EAN): 9780387901374 Издательство: Springer Рейтинг: Цена: 40050.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: My purpose here is to show that actually this theory is nothing else than the first chapter of classical algebraic topology and may be very advantageously treated as such by the well known methods of that science. In Chapters VII and VIII the elements of the theory of 2-dimensional complexes and surfaces are presented.
Автор: Ciro Ciliberto; Friedrich Hirzebruch; Rick Miranda Название: Applications of Algebraic Geometry to Coding Theory, Physics and Computation ISBN: 1402000057 ISBN-13(EAN): 9781402000058 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Proceedings of the NATO Advanced Research Workshop, held in Eilat, Israel, from 25th February to 1st March 2001