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Elsevier

North Holland

  • Contributions to Universal Algebra

    • 1st Edition
    • B. Csákány + 1 more
    • English
    Contributions to Universal Algebra focuses on the study of algebra. The compilation first discusses the congruence lattice of pseudo-simple algebras; elementary properties of limit reduced powers with applications to Boolean powers; and congruent lattices of 2-valued algebras. The book further looks at duality for algebras; weak homomorphisms of stone algebras; varieties of modular lattices not generated by their finite dimensional members; and remarks on algebraic operations of stone algebras. The text describes polynomial normal forms and the embedding of polynomial algebras; coverings in the lattice of varieties; embedding semigroups in semigroups generated by idempotents; and endomorphism semigroups and subgroupoid lattices. The book also discusses a report on sublattices of a free lattice, and then presents the cycles in finite semi-distributive lattices; cycles in S-lattices; and summary of results. The text also describes primitive subsets of algebras, ideals, normal sets, and congruences, as well as Jacobson’s density theorem. The book is a good source for readers wanting to study algebra.

  • Finite and Infinite Sets

    Colloquia Mathematica Societatis János Bolyai, 37.
    • 1st Edition
    • A. Hajnal + 2 more
    • English
    Colloquia Mathematica Societatis Jânos Bolyai, 37: Finite and Infinite Sets, Vol. I focuses on the principles, operations, and approaches involved in finite and infinite sets. The selection first elaborates on essential chains and squares, cellular automata in trees, almost disjoint families of countable sets, and application of Lovasz local lemma. Discussions focus on deleting operations, number of all and self-dual E-chains, transversality of E-chains and E-squares, and binary E-chains and E-squares. The text then elaborates on induced subgraphs, inverse extremal digraph problems, two Sperner-type conditions, and minimal decomposition of all graphs with equinumerous vertices and edges into mutually isomorphic subgraphs. Topics include general digraph extremal problem, matrix graphs and quadratic forms, augmentation of matrices, set of attained densities, proof of the continuity theorem, and inverse extremal multigraph problems. The text examines circular flows in graphs, two-colorings of simple arrangements, monochromatic paths in infinite colored graphs, and graphs associated with an integral domain and their applications. The selection is a dependable reference for researchers interested in finite and infinite sets.

  • Modern Dimension Theory

    • 1st Edition
    • Jun-Iti Nagata
    • N. G. De Bruijn + 2 more
    • English
    Bibliotheca Mathematica, Volume 6: Modern Dimension Theory provides a brief account of dimension theory as it has been developed since 1941, including the principal results of the classical theory for separable metric spaces. This book discusses the decomposition theorem, Baire's zero-dimensional spaces, dimension of separable metric spaces, and characterization of dimension by a sequence of coverings. The imbedding of countable-dimensiona... spaces, sum theorem for strong inductive dimension, and cohomology group of a topological space are also elaborated. This text likewise covers the uniformly zero-dimensional mappings, theorems in euclidean space, transfinite inductive dimension, and dimension of non-metrizable spaces. This volume is recommended to students and specialists researching on dimension theory.

  • Axiomatic Projective Geometry

    • 2nd Edition
    • A. Heyting
    • N. G. De Bruijn + 2 more
    • English
    Bibliotheca Mathematica: A Series of Monographs on Pure and Applied Mathematics, Volume V: Axiomatic Projective Geometry, Second Edition focuses on the principles, operations, and theorems in axiomatic projective geometry, including set theory, incidence propositions, collineations, axioms, and coordinates. The publication first elaborates on the axiomatic method, notions from set theory and algebra, analytic projective geometry, and incidence propositions and coordinates in the plane. Discussions focus on ternary fields attached to a given projective plane, homogeneous coordinates, ternary field and axiom system, projectivities between lines, Desargues' proposition, and collineations. The book takes a look at incidence propositions and coordinates in space. Topics include coordinates of a point, equation of a plane, geometry over a given division ring, trivial axioms and propositions, sixteen points proposition, and homogeneous coordinates. The text examines the fundamental proposition of projective geometry and order, including cyclic order of the projective line, order and coordinates, geometry over an ordered ternary field, cyclically ordered sets, and fundamental proposition. The manuscript is a valuable source of data for mathematicians and researchers interested in axiomatic projective geometry.

  • L. E. J. Brouwer Collected Works

    Geometry, Analysis, Topology and Mechanics
    • 1st Edition
    • Hans Freudenthal
    • English
    L. E. J. Brouwer Collected Works, Volume 2: Geometry, Analysis, Topology, and Mechanics focuses on the contributions and principles of Brouwer on geometry, topology, analysis, and mechanics, including non-Euclidean spaces, integrals, and surfaces. The publication first ponders on non-Euclidean spaces and integral theorems, lie groups, and plane transition theorem. Discussions focus on remarks on multiple integrals, force field of the non-Euclidean spaces with negative curvature, difference quotients and differential quotients, characterization of the Euclidean and non-Euclidean motion groups, and continuous one-one transformations of surfaces in themselves. The book also takes a look at vector fields on surfaces and new methods in topology, including continuous vector distributions on surfaces and orthogonal trajectories of the orbits of a one parameter plane projective group. The book then ponders on mechanics and topology of surfaces, as well as the motion of a particle on the bottom of a rotating vessel under the influence of gravitational force. The publication is a valuable reference for researchers interested in geometry, topology, analysis, and mechanics.

  • Mathematical Logic and Formalized Theories

    A Survey of Basic Concepts and Results
    • 2nd Edition
    • Robert L. Rogers
    • English
    Mathematical Logic and Formalized Theories: A Survey of Basic Concepts and Results focuses on basic concepts and results of mathematical logic and the study of formalized theories. The manuscript first elaborates on sentential logic and first-order predicate logic. Discussions focus on first-order predicate logic with identity and operation symbols, first-order predicate logic with identity, completeness theorems, elementary theories, deduction theorem, interpretations, truth, and validity, sentential connectives, and tautologies. The text then tackles second-order predicate logic, as well as second-order theories, theory of definition, and second-order predicate logic F2. The publication takes a look at natural and real numbers, incompleteness, and the axiomatic set theory. Topics include paradoxes, recursive functions and relations, Gödel's first incompleteness theorem, axiom of choice, metamathematics of R and elementary algebra, and metamathematics of N. The book is a valuable reference for mathematicians and researchers interested in mathematical logic and formalized theories.

  • Introduction to Modern Mathematics

    • 1st Edition
    • Helena Rasiowa
    • English
    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.

  • The Office of the Future

    Communication and Computers
    • 1st Edition
    • Ronald P. Uhlig + 2 more
    • English
    Monograph Series of the International Council for Computer Communications, Volume 1: The Office of the Future: Communication and Computers focuses on the advancements in the processes, technologies, techniques, principles, and approaches involved in communication and computers, including computer based tools, data gathering and information retrieval, and office automation. The publication first elaborates on the automated office of the future, tools to support the communication activity, and text editing tools for generating, organizing, analyzing, and transforming information. Discussions focus on generating, organizing, and analyzing information, basic message system concepts, impact of computer networks, and other processes in the office. The text then examines the integration of computer based tools, data gathering and information retrieval tools, coordination tools in the office of the future, and tools to support office processes. The manuscript ponders on the integration of the spoken word with interactive computer based office support systems, underlying technology, digital channel, and software aspects of the office environment utilizing the micro-processor. Topics include single board computer, advances in digital computer communications technology, future directions for digital networks, bandwidth availability, and storage and retrieval of voice information. The book is a dependable source of data for computer science experts and researchers interested in the relationship of communication and computers.

  • Illegal Transactions in International Trade

    Theory and Measurement
    • 1st Edition
    • Jagdish N. Bhagwati
    • English
    Studies in International Economics, Volume 1: Illegal Transactions in International Trade: Theory and Measurement embraces the theoretical, empirical, and econometric aspects of international economic analysis. The selection first elaborates on a theoretical analysis of smuggling, an alternative proof of the Bhagwati-Hansen results on smuggling and welfare, and smuggling and trade policy. Discussions focus on optimal tariff and revenue questions, legal trade eliminated by smuggling, legal trade co-existing with smuggling, overinvoicing and underinvoicing of transactions, and smuggling and welfare. The text then examines overinvoicing, underutilization, and distorted industrial growth, fiscal policies, faking of foreign trade declarations, and the balance of payments, and accuracy of economic observations. Topics include statistics of foreign commodity trade, trade tariffs and subsidies, effect on capital complexity, industrial employment and output growth, implications for industrial development, effective exchange rate for capital imports, and foreign-exchange profits of overinvoicing. The manuscript ponders on tariffs and smuggling in Indonesia and the problems of assessing unrecorded trade, including complications in comparing partners' trade accounts, measuring recorded values of all products, market impact of smuggling, and methods for detecting smuggling. The selection is a valuable source of data for researchers interested in international trade.

  • Contributions to Logic and Methodology

    In Honor of J.M. Bochenski
    • 1st Edition
    • Anna-Teresa Tymieniecka
    • English
    Contributions to Logic and Methodology in Honor of J. M. Boche?ski focuses on the influence, contributions, and legacy of J. M. Boche?ski in the fields of logic and methodology. The selection first offers information on some remarks on inferential deduction, modal logic with eight modalities, and method and logic in presocratic explanation. Discussions focus on inference, evidence, hypothesis, generalization, semantical discussion, proof of necessity, multiple dialogues, and construction trees. The text then elaborates on reification, quotation, and nominalization, logic of preference and choice, and sense, denotation, and the context of sentences. Topics include axioms of preference and of choice, economic context, methodological remarks, reification, nominalization, and quotation. The manuscript examines conjectural inference and phenomenological analysis, including anticipatory evidence and choice of method, conjecture of the universal order, conjectural requirement of the architectonic project, and outline of the program of conjectural inquiry. The selection is a dependable source of information for philosophers and researchers interested in the influence and contributions of J. M. Boche?ski to logic and methodology.

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