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Elsevier

Academic Press

  • Mathematical Tools for Applied Multivariate Analysis

    • 1st Edition
    • Paul E. Green
    • English
    Mathematical Tools for Applied Multivariate Analysis provides information pertinent to the aspects of transformational geometry, matrix algebra, and the calculus that are most relevant for the study of multivariate analysis. This book discusses the mathematical foundations of applied multivariate analysis. Organized into six chapters, this book begins with an overview of the three problems in multiple regression, principal components analysis, and multiple discriminant analysis. This text then presents a standard treatment of the mechanics of matrix algebra, including definitions and operations on matrices, vectors, and determinants. Other chapters consider the topics of eigenstructures and linear transformations that are important to the understanding of multivariate techniques. This book discusses as well the eigenstructures and quadratic forms. The final chapter deals with the geometric aspects of linear transformations. This book is a valuable resource for students.

  • On Understanding Grammar

    • 1st Edition
    • Talmy Givón
    • Harry A Whitaker
    • English
    On Understanding Grammar covers the interdependencies among the various aspects of linguistics and the human language. This eight-chapter text considers some pertinent topics in linguistics, such as discourse-pragmatics... diachronic syntax, topology, creology, method, and ontology. Chapter 1 describes the notions of fact, theory, and explanation, particularly about how these notions manifest themselves in actual practice. Chapter 2 redefines syntax in terms of communicative function and discourse-pragmatics... and about the relation between the function of grammatical devices and their formal properties. Chapter 3 deals with discourse-pragmatics and how it transcends the narrow bounds of deductive logic, as well as the function and ontology of negation in language, and how those relate to the fundamental information-theoreti... principle of figure versus ground. Chapter 4 explores the two major aspects of case systems, namely, the semantic role and pragmatic function, and how the two interact in determining the typological characteristics of grammars. Chapter 5 examines the relation between discourse and syntax based on diachronic, ontogenetic, phylogenetic viewpoints. Chapter 6 tackles the relation between synchronic grammar and diachronic change, while Chapter 7 describes the relationship between human language and its phylogenetic evolution. Chapter 8 is about language and ontology, as well as the relation between cognition and the universe. This book will prove useful to linguistics and language researchers.

  • Elementary Topology

    A Combinatorial and Algebraic Approach
    • 1st Edition
    • Donald W. Blackett
    • English
    Elementary Topology: A Combinatorial and Algebraic Approach focuses on the application of algebraic methods to topological concepts and theorems. The publication first elaborates on some examples of surfaces and their classifications. Discussions focus on combinatorial invariants of a surface, combinatorial equivalence, surfaces and their equations, topological surfaces, coordinates on a sphere and torus, and properties of the sphere and torus. The text then examines complex conics and covering surfaces and mappings into the sphere, including applications of the winding number in complex analysis, mappings into the plane, winding number of a plane curve, covering surfaces, and complex conies. The book examines vector fields, network topology, and three-dimensional topology. Topics include topological products and fiber bundles, manifolds of configurations, paths, circuits, and trees, vector fields and hydrodynamics, vector fields on a sphere, and vector fields and differential equations. The publication is highly recommended for sophomores, juniors, and seniors who have completed a year of calculus.

  • Test Bank for Precalculus

    Functions & Graphs
    • 1st Edition
    • Bernard Kolman + 2 more
    • English
    Test Bank for Precalculus: Functions & Graphs is a supplementary material for the text, Precalculus: Functions & Graphs. The book is intended for use by mathematics teachers. The book contains standard tests for each chapter in the textbook. Each set of test focuses on gauging the level of knowledge the student has achieved during the course. The answers for each chapter test and the final exam are found at the end of the book. Mathematics teachers teaching calculus will find the book extremely useful.

  • Semigroups

    Proceedings of the Monash University Conference on Semigroups Held at the Monash University, Clayton, Victoria, Australia, October, 1979
    • 1st Edition
    • T. E. Hall + 2 more
    • English
    Semigroups is a collection of papers dealing with models of classical statistics, sequential computing machine, inverse semi-groups. One paper explains the structure of inverse semigroups that leads to P-semigroups or E-unitary inverse semigroups by utilizing the P-theorem of W.D. Nunn. Other papers explain the characterization of divisibility in the category of sets in terms of images and relations, as well as the universal aspects of completely simple semigroups, including amalgamation, the lattice of varieties, and the Hopf property. Another paper explains finite semigroups which are extensions of congruence-free semigroups, where their set of congruences forms a chain. The paper then shows how to construct such semigroups. A finite semigroup (which is decomposable into a direct product of cyclic semigroups which are not groups) is actually uniquely decomposable. One paper points out when a finite semigroup has such a decomposition, and how its non-group cyclic direct factors, if any, can be found. The collection can prove useful for mathematicians, statisticians, students, and professors of higher mathematics or computer science.

  • The Regulatory Process and Labor Earnings

    • 1st Edition
    • Ronald G. Ehrenberg
    • Richard B. Freeman
    • English
    The Regulatory Process and Labor Earnings focuses on one form of government intervention in the marketplace—state regulation of public utilities. This book provides the most comprehensive study of labor costs in a regulated industry and includes a summary of a major econometric study. This text addresses a number of related issues, such as the effect of regulatory process to the structure of collective bargaining and labor earnings in regulated industries, legal rights of state utility commissions to deny proposed rate increases that are based on excessive upturns in labor cost, and incentive schemes that can be used to encourage public utilities to hold down labor and non-labor cost increases. This publication is a good reference for students and individuals involved in the regulatory process.

  • Wolf and Man

    Evolution in Parallel
    • 1st Edition
    • Roberta L. Hall + 1 more
    • English
    Wolf and Man: Evolution in Parallel is a collection of papers that discusses certain crucial attributes of humans including traits that are shared with other social predators. Some papers describe the wolf as the equal of man—the animal is a social hunter of large game, disregards human boundaries and properties, and consume livestock when it is necessary. The wolf's will to survive is as great as that of man, and brings along many resources to the competition. Several papers review the behavior and culture of man, wolf, dog, and the Chipewyan people who hunted caribou. Another paper examines the communication, cognitive mapping, and strategy in wolves and hominids. Hominids have developed cognitive maps, forced by their predation on large animals to cover wider ranges, to communicate and form complex sequences of utterances. One paper notes that the wolf was able to penetrate on every continent except Australia and Africa due to the Australian continent's isolation. In Africa, there is no ecological space for another highly organized social hunter of large game. The collection can be appreciated by anthropologists, sociologists, psychologists, and scientists involved in paleontology and human evolution.

  • Recent Advances in Numerical Analysis

    Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, May 22-24, 1978
    • 1st Edition
    • Carl De Boor + 1 more
    • English
    Recent Advances in Numerical Analysis provides information pertinent to the developments in numerical analysis. This book covers a variety of topics, including positive functions, Sobolev spaces, computing paths, partial differential equations, and perturbation theory. Organized into 12 chapters, this book begins with an overview of stability conditions for numerical methods that can be expressed in the form that some associated function is positive. This text then examines the polynomial approximation theory having applications to finite element Galerkin methods. Other chapters consider the numerical condition of polynomials by examining three particular problem areas, namely, the representation of polynomials, algebraic equations, and the problem of orthogonalization. This book discusses as well a general theory that leads to a systematic way to prepare the initial data. The final chapter deals with the derivation of the Kronecker canonical form. This book is a valuable resource for applied mathematicians, numerical analysts, physicists, engineers, and research workers.

  • Macroeconomics

    Private and Public Choice
    • 2nd Edition
    • James D Gwartney + 1 more
    • English
    Macroeconomics: Private and Public Choice discusses the principle of macroeconomics, particularly government expenditure, taxation, public choice theory, and labor markets. The book also covers aggregate supply, fiscal policy, inflation, unemployment, traditional Keynesian theory, low productivity, rapid inflation. The text explains international economics and comparative systems such as the export-import link, export taxes, and foreign finance. It analyzes the existence of trade barriers as being due to domestic protectionism policies, special interest nature of trade restrictions, and economic illiteracy. The book examines the economics of government failure, namely, the collective decision-making process as being both beneficial and limited of public sector economic action. Among the reasons cited for government failure are voter ignorance, inefficient public policy, existence of special interests, imprecise knowledge of consumer preferences, as well as government shortsightedness. The book also examines why government intervention in some activities can be beneficial, for example, weak market competition or monopoly, uninformed consumers, and when conditions of external benefits can be achieved. Economists, sociologists, professors in economics, or policy makers involved in economic and rural development will find the text valuable.

  • Study Guide for College Algebra

    • 1st Edition
    • James W. Snow + 2 more
    • English
    Study Guide for College Algebra is a supplemental material for the basic text, College Algebra. Its purpose is to make the learning of college algebra and trigonometry easier and enjoyable. The book provides detailed solutions to exercises found in the text. Students are encouraged to use the study guide as a learning tool during the duration of the course, a reviewer prior to an exam, a reference book, and as a quick overview before studying a section of the text. The Study Guide and Solutions Manual consists of four major components: basic concepts that should be learned from each unit, what was learned upon completion of each unit, solutions to selected problems, and a short chapter quiz, including the answers, covering the concepts and problem types. College level students will find the book very useful.

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