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Author: Elbridge Putnam Vance
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 616
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Book Description
Author: Elbridge Putnam Vance
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 616
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Book Description
Author: Helena Rasiowa
Publisher: Elsevier
ISBN: 1483274721
Category : Mathematics
Languages : en
Pages : 352
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Book Description
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.
Author:
Publisher:
ISBN: 9781571463050
Category :
Languages : en
Pages :
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Book Description
Author: Albert Monjallon
Publisher:
ISBN:
Category : Abelian groups
Languages : en
Pages : 248
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Book Description
Author: Ian Stewart
Publisher: Courier Corporation
ISBN: 0486134954
Category : Mathematics
Languages : en
Pages : 367
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Book Description
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
Author: K. Ireland
Publisher: Springer Science & Business Media
ISBN: 1475717792
Category : Mathematics
Languages : en
Pages : 355
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Book Description
This book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972. As with the first book the primary audience we envisage consists of upper level undergraduate mathematics majors and graduate students. We have assumed some familiarity with the material in a standard undergraduate course in abstract algebra. A large portion of Chapters 1-11 can be read even without such background with the aid of a small amount of supplementary reading. The later chapters assume some knowledge of Galois theory, and in Chapters 16 and 18 an acquaintance with the theory of complex variables is necessary. Number theory is an ancient subject and its content is vast. Any intro ductory book must, of necessity, make a very limited selection from the fascinat ing array of possible topics. Our focus is on topics which point in the direction of algebraic number theory and arithmetic algebraic geometry. By a careful selection of subject matter we have found it possible to exposit some rather advanced material without requiring very much in the way oftechnical background. Most of this material is classical in the sense that is was dis covered during the nineteenth century and earlier, but it is also modern because it is intimately related to important research going on at the present time.
Author: John Edward Hafstrom
Publisher: Courier Corporation
ISBN: 0486497291
Category : Mathematics
Languages : en
Pages : 209
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Book Description
An in-depth overview of some of the most readily applicable essentials of modern mathematics, this concise volume is geared toward undergraduates of all backgrounds as well as future math majors. Topics include the natural numbers; sets, variables, and statement forms; mappings and operations; groups; relations and partitions; integers; and rational and real numbers. 1961 edition.
Author: Edwin F. Beckenbach
Publisher: Courier Corporation
ISBN: 0486497461
Category : Technology & Engineering
Languages : en
Pages : 545
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Book Description
This volume and its successor were conceived to advance the level of mathematical sophistication in the engineering community, focusing on material relevant to solving the kinds of problems regularly confronted. Volume One's three-part treatment covers mathematical models, probabilistic problems, and computational considerations. Contributors include Solomon Lefschetz, Richard Courant, and Norbert Wiener. 1956 edition.
Author: Apostolos Syropoulos
Publisher: John Wiley & Sons
ISBN: 1119445280
Category : Technology & Engineering
Languages : en
Pages : 382
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Book Description
Provides readers with the foundations of fuzzy mathematics as well as more advanced topics A Modern Introduction to Fuzzy Mathematics provides a concise presentation of fuzzy mathematics., moving from proofs of important results to more advanced topics, like fuzzy algebras, fuzzy graph theory, and fuzzy topologies. The authors take the reader through the development of the field of fuzzy mathematics, starting with the publication in 1965 of Lotfi Asker Zadeh's seminal paper, Fuzzy Sets. The book begins with the basics of fuzzy mathematics before moving on to more complex topics, including: Fuzzy sets Fuzzy numbers Fuzzy relations Possibility theory Fuzzy abstract algebra And more Perfect for advanced undergraduate students, graduate students, and researchers with an interest in the field of fuzzy mathematics, A Modern Introduction to Fuzzy Mathematics walks through both foundational concepts and cutting-edge, new mathematics in the field.
Author: Alfred North Whitehead
Publisher: Courier Dover Publications
ISBN: 0486821382
Category : Mathematics
Languages : en
Pages : 177
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Book Description
Concise volume for general students by prominent philosopher and mathematician explains what math is and does, and how mathematicians do it. "Lucid and cogent ... should delight you." — The New York Times. 1911 edition.
