Автор: Steven Givant; Paul Halmos Название: Introduction to Boolean Algebras ISBN: 0387402934 ISBN-13(EAN): 9780387402932 Издательство: Springer Рейтинг: Цена: 6002.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Suitable for advanced undergraduates and beginning graduate students, this book treats Boolean algebras, develops some ideas, and provides insights. It includes explanation of the relationship between Boolean rings and Boolean algebras. It features chapters on topology and on continuous functions.
Автор: Graham Priest Название: An Introduction to Non-Classical Logic ISBN: 0521854334 ISBN-13(EAN): 9780521854337 Издательство: Cambridge Academ Рейтинг: Цена: 14890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues are explained.
Автор: SchrГ¶der Bernd Название: Ordered Sets / An Introduction ISBN: 0817641289 ISBN-13(EAN): 9780817641283 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Поставка под заказ.
Описание: This work is an introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. A wide range of material is presented, from classical results such as Dilworth's, Szpilrajn's and Hashimoto's Theorems to more recent results such as the Li--Milner Structure Theorem. Major topics covered include: chains and antichains, lowest upper and greatest lower bounds, retractions, lattices, the dimension of ordered sets, interval orders, lexicographic sums, products, enumeration, algorithmic approaches and the role of algebraic topology. Since there are few prerequisites, the text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory class. After working through a comparatively lean core, the reader can choose from a diverse range of topics such as structure theory, enumeration or algorithmic aspects. Also presented are some key topics less customary to discrete mathematics/graph theory, including a concise introduction to homology for graphs, and the presentation of forward checking as a more efficient alternative to the standard backtracking algorithm. The coverage throughout provides a solid foundation upon which research can be started by a mathematically mature reader. Rich in exercises, illustrations, and open problems, Ordered Sets: An Introduction is an excellent text for undergraduate and graduate students and a good resource for the interested researcher. Readers will discover order theory's role in discrete mathematics as a supplier of ideas as well as an attractive source of applications.
Автор: Church, Alonzo Название: Introduction to mathematical logic ISBN: 0691029067 ISBN-13(EAN): 9780691029061 Издательство: Wiley Рейтинг: Цена: 13939.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church`s contributions to number theory and theories of algorithms and computability laid the theoretical foundations of computer science. This book is a basic source for understanding formal logic.
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