Items related to Algebraic Systems (Grundlehren der mathematischen Wissenscha...
As far back as the 1920's, algebra had been accepted as the science studying the properties of sets on which there is defined a particular system of operations. However up until the forties the overwhelming majority of algebraists were investigating merely a few kinds of algebraic structures. These were primarily groups, rings and lattices. The first general theoretical work dealing with arbitrary sets with arbitrary operations is due to G. Birkhoff (1935). During these same years, A. Tarski published an important paper in which he formulated the basic prin ciples of a theory of sets equipped with a system of relations. Such sets are now called models. In contrast to algebra, model theory made abun dant use of the apparatus of mathematical logic. The possibility of making fruitful use of logic not only to study universal algebras but also the more classical parts of algebra such as group theory was dis covered by the author in 1936. During the next twenty-five years, it gradually became clear that the theory of universal algebras and model theory are very intimately related despite a certain difference in the nature of their problems. And it is therefore meaningful to speak of a single theory of algebraic systems dealing with sets on which there is defined a series of operations and relations (algebraic systems). The formal apparatus of the theory is the language of the so-called applied predicate calculus. Thus the theory can be considered to border on logic and algebra.
"synopsis" may belong to another edition of this title.
Language Notes:
Text: English, Russian (translation)
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2011
- ISBN 10 3642653766
- ISBN 13 9783642653766
- BindingPaperback
- Number of pages332
Buy New
Learn more about this copy
US$ 82.94
Shipping:
FREE
Within U.S.A.
Top Search Results from the AbeBooks Marketplace
Seller Image
Algebraic Systems (Grundlehren der mathematischen Wissenschaften) by Mal'cev, Anatolij Ivanovic [Paperback ]
Seller:
Rating
Book Description Soft Cover. Condition: new. Seller Inventory # 9783642653766
Buy New
US$ 82.94
Convert currency
Stock Image
Algebraic Systems (Grundlehren der mathematischen Wissenschaften, 192)
Published by
Springer
(2011)
ISBN 10: 3642653766
ISBN 13: 9783642653766
New
Softcover
Quantity: > 20
Seller:
Rating
Book Description Condition: New. Seller Inventory # ABLIING23Mar3113020233314
Buy New
US$ 90.32
Convert currency
Stock Image
Algebraic Systems
Published by
Springer
(2011)
ISBN 10: 3642653766
ISBN 13: 9783642653766
New
Softcover
Quantity: > 20
Seller:
Rating
Book Description Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Seller Inventory # ria9783642653766_lsuk
Buy New
US$ 89.91
Convert currency
Stock Image
Algebraic Systems
Seller:
Rating
Book Description PF. Condition: New. Seller Inventory # 6666-IUK-9783642653766
Buy New
US$ 84.67
Convert currency
Stock Image
Algebraic Systems (Grundlehren Der Mathematischen Wissenschaften)
Published by
Springer Berlin Heidelberg
(2011)
ISBN 10: 3642653766
ISBN 13: 9783642653766
New
Paperback
Quantity: 2
Seller:
Rating
Book Description Paperback. Condition: Brand New. reprint edition. 332 pages. 9.25x6.10x0.10 inches. In Stock. Seller Inventory # x-3642653766
Buy New
US$ 115.06
Convert currency
Seller Image
Algebraic Systems
Published by
Springer Berlin Heidelberg
(2011)
ISBN 10: 3642653766
ISBN 13: 9783642653766
New
Softcover
Quantity: > 20
Seller:
Rating
Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. As far back as the 1920 s, algebra had been accepted as the science studying the properties of sets on which there is defined a particular system of operations. However up until the forties the overwhelming majority of algebraists were investigating merely . Seller Inventory # 5067262
Buy New
US$ 77.18
Convert currency
Seller Image
Algebraic Systems
Published by
Springer Berlin Heidelberg Nov 2011
(2011)
ISBN 10: 3642653766
ISBN 13: 9783642653766
New
Taschenbuch
Quantity: 2
Seller:
Rating
Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -As far back as the 1920's, algebra had been accepted as the science studying the properties of sets on which there is defined a particular system of operations. However up until the forties the overwhelming majority of algebraists were investigating merely a few kinds of algebraic structures. These were primarily groups, rings and lattices. The first general theoretical work dealing with arbitrary sets with arbitrary operations is due to G. Birkhoff (1935). During these same years, A. Tarski published an important paper in which he formulated the basic prin ciples of a theory of sets equipped with a system of relations. Such sets are now called models. In contrast to algebra, model theory made abun dant use of the apparatus of mathematical logic. The possibility of making fruitful use of logic not only to study universal algebras but also the more classical parts of algebra such as group theory was dis covered by the author in 1936. During the next twenty-five years, it gradually became clear that the theory of universal algebras and model theory are very intimately related despite a certain difference in the nature of their problems. And it is therefore meaningful to speak of a single theory of algebraic systems dealing with sets on which there is defined a series of operations and relations (algebraic systems). The formal apparatus of the theory is the language of the so-called applied predicate calculus. Thus the theory can be considered to border on logic and algebra. 336 pp. Englisch. Seller Inventory # 9783642653766
Buy New
US$ 105.66
Convert currency
Seller Image
Algebraic Systems
Published by
Springer Berlin Heidelberg
(2011)
ISBN 10: 3642653766
ISBN 13: 9783642653766
New
Taschenbuch
Quantity: 1
Seller:
Rating
Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - As far back as the 1920's, algebra had been accepted as the science studying the properties of sets on which there is defined a particular system of operations. However up until the forties the overwhelming majority of algebraists were investigating merely a few kinds of algebraic structures. These were primarily groups, rings and lattices. The first general theoretical work dealing with arbitrary sets with arbitrary operations is due to G. Birkhoff (1935). During these same years, A. Tarski published an important paper in which he formulated the basic prin ciples of a theory of sets equipped with a system of relations. Such sets are now called models. In contrast to algebra, model theory made abun dant use of the apparatus of mathematical logic. The possibility of making fruitful use of logic not only to study universal algebras but also the more classical parts of algebra such as group theory was dis covered by the author in 1936. During the next twenty-five years, it gradually became clear that the theory of universal algebras and model theory are very intimately related despite a certain difference in the nature of their problems. And it is therefore meaningful to speak of a single theory of algebraic systems dealing with sets on which there is defined a series of operations and relations (algebraic systems). The formal apparatus of the theory is the language of the so-called applied predicate calculus. Thus the theory can be considered to border on logic and algebra. Seller Inventory # 9783642653766
Buy New
US$ 95.14
Convert currency