Synopsis
Introduction to Modern Mathematics focuses on the operations, principles, and methodologies involved in modern mathematics. The monograph first tackles the algebra of sets, natural numbers, and functions. Discussions focus on groups of transformations, composition of functions, an axiomatic approach to natural numbers, intersection of sets, axioms of the algebra of sets, fields of sets, prepositional functions of one variable, and difference of sets. The text then takes a look at generalized unions and intersections of sets, Cartesian products of sets, and equivalence relations. The book ponders on powers of sets, ordered sets, and linearly ordered sets. Topics include isomorphism of linearly ordered sets, dense linear ordering, maximal and minimal elements, quasi-ordering relations, inequalities for cardinal numbers, sets of the power of the continuum, and Cantor's theorem. The manuscript then examines elementary concepts of abstract algebras, functional calculus and its applications in mathematical proofs, and propositional calculus and its applications in mathematical proofs. The publication is a valuable reference for mathematicians and researchers interested in modern mathematics.
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Introduction to Modern Mathematics.
Published by
North-Holland, Amsterdam, 1972
ISBN 10: 0720420679
ISBN 13: 9780720420678
Used
Hardcover
Seller: Antiquariat Renner OHG, Albstadt, Germany
Seller rating 5 out of 5 stars
Hardcover. Condition: Gut. Amsterdam, North Holland 1973. 17 fig. XII, 339 p. OCloth. with dust jacket. (dust jacket rubbed).- Flyleaves slightly stained. Seller Inventory # 1850
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Introduction to Modern Mathematics
Published by
Elsevier, New York
ISBN 10: 0720420679
ISBN 13: 9780720420678
Used
Hardcover
First Edition
Seller: Alien Bindings, BALTIMORE, MD, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Very Good. Dust Jacket Condition: Very Good. First Edition. The book is in VG+ condition. The covers look great. The binding is tight with a very slight forward roll. The interior pages are clean and unmarked. The dust jacket has some edge wear and tear. Electronic delivery tracking will be issued free of charge. This book covers those elements of mathematical logic, set theory, and abstract algebra which will enable the reader to study modern mathematics. The scope of the book goes much beyond a freshmen course in mathematics even though it was developed from the author's lectures intended for the freshmen. The book was published in 1973 by Elsevier. Seller Inventory # 07626