Skip to main content
View Cart

Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

  • Advances in Computers

    New Programming Paradigms
    • 1st Edition
    • Volume 64
    • Marvin Zelkowitz
    • English
    Advances in Computers covers new developments in computer technology. Most chapters present an overview of a current subfield within computer science, with many citations and often include new developments in the field by the authors of the individual chapters. Topics include hardware, software, theoretical underpinnings of computing, and novel applications of computers. This current volume emphasizes the role of the internet, the world wide web and other aspects of a distributed computing environment. Open source development as well as computing for the handicapped are additional important topics. Key Features: In-depth surveys and tutorials on new computer technology Well-known authors are researchers in the field Extensive bibliographies with most chapters Important chapters on new technologies for software development: open source development and the technology needed to use the web for electronic commerce

  • Mathematical Inequalities

    • 1st Edition
    • Volume 67
    • B. G. Pachpatte
    • English
    The book addresses many important new developments in the field. All the topics covered are of great interest to the readers because such inequalities have become a major tool in the analysis of various branches of mathematics.

  • Data Mining and Data Visualization

    • 1st Edition
    • Volume 24
    • English
    Data Mining and Data Visualization focuses on dealing with large-scale data, a field commonly referred to as data mining. The book is divided into three sections. The first deals with an introduction to statistical aspects of data mining and machine learning and includes applications to text analysis, computer intrusion detection, and hiding of information in digital files. The second section focuses on a variety of statistical methodologies that have proven to be effective in data mining applications. These include clustering, classification, multivariate density estimation, tree-based methods, pattern recognition, outlier detection, genetic algorithms, and dimensionality reduction. The third section focuses on data visualization and covers issues of visualization of high-dimensional data, novel graphical techniques with a focus on human factors, interactive graphics, and data visualization using virtual reality. This book represents a thorough cross section of internationally renowned thinkers who are inventing methods for dealing with a new data paradigm.

  • A Practical Logic of Cognitive Systems

    The Reach of Abduction: Insight and Trial
    • 1st Edition
    • Dov M. Gabbay + 1 more
    • English
    The present work is a continuation of the authors' acclaimed multi-volume APractical Logic of Cognitive Systems. After having investigated the notion ofrelevance in their previous volume, Gabbay and Woods now turn to abduction. Inthis highly original approach, abduction is construed as ignorance-preserving... in which conjecture plays a pivotal role. Abduction is a response to acognitive target that cannot be hit on the basis of what the agent currently knows.The abducer selects a hypothesis which were it true would enable the reasoner to attain his target. He concludes from this fact that the hypothesis may be conjectured. In allowing conjecture to stand in for the knowledge he fails to have, the abducer reveals himself to be a satisficer, since an abductive solution is not a solution from knowledge. Key to the authors' analysis is the requirement that a conjectured proposition is not just what a reasoner might allow himself to assume, but a proposition he must defeasibly release as a premiss for further inferences in the domain of enquiry in which the original abduction problem has arisen.The coverage of the book is extensive, from the philosophy of science tocomputer science and AI, from diagnostics to the law, from historical explanation to linguistic interpretation. One of the volume's strongest contributions is its exploration of the abductive character of criminal trials, with special attention given to the standard of proof beyond a reasonable doubt.Underlying their analysis of abductive reasoning is the authors' conception ofpractical agency. In this approach, practical agency is dominantly a matter of thecomparative modesty of an agent's cognitive agendas, together with comparatively scant resources available for their advancement. Seen in these ways, abduction has a significantly practical character, precisely because it is a form of inference that satisfices rather than maximizes its response to the agent's cognitive target.The Reach of Abduction will be necessary reading for researchers, graduatestudents and senior undergraduates in logic, computer science, AI, belief dynamics, argumentation theory, cognitive psychology and neuroscience, linguistics, forensic science, legal reasoning and related areas.Key features:- Reach of Abduction is fully integrated with a background logic of cognitive systems.- The most extensive coverage compared to competitive works.- Demonstrates not only that abduction is a form of ignorance preservinginference but that it is a mode of inference that is wholly rational.- Demonstrates the satisficing rather than maximizing character ofabduction.- The development of formal models of abduction is considerably more extensive than one finds in existing literature. It is an especially impressive amalgam of sophisticatedconcept... analysis and extensive logical modelling.

  • Elsevier's Dictionary of Automation Technics

    In English, German, French and Russian
    • 1st Edition
    • B. Zhelyazova
    • English
    This dictionary contains 13,000 terms with more than 4,000 cross-references used in the following fields: automation, technology of management and regulation, computing machine and data processing, computer control, automation of industry, laser technology, theory of information and theory of signals, theory of algorithms and programming, philosophical bases of cybernetics, cybernetics and mathematical methods.Automation pertains to the theory, art, or technique of making a machine, a process or a device more fully automatic. Computers and information processing equipment play a large role in the automation of a process because of the inherent ability of a computer to develop decision that will, in effect, control or govern the process from the information received by the computer concerning the status of the process. Thus automation pertains to both the theory, and techniques of using automatic systems in industrial applications and the processes of investigation, design and conversion to automatic methods. Automatic control, automatic materials handling, automatic testing, automatic packaging, for continuous as well as batch processing, are all considered parts of the overall or completely automatic process.The Dictionary consists of two parts, Basic Table and Indexes. In the first part the English terms are listed alphabetically, numbered consecutively and followed by its German, French and Russian equivalents. English synonyms appear as cross-references to the main entries in their proper alphabetical order. The second part of the Dictionary, the Indexes, contains separate alphabetical indexes of the German, French and Russian terms. The reference number(s) with each term stands for the number of the English term(s) in the basic table.Elsevier's Dictionary of Automatic Technics will be a valuable tool for specialists, scientists, students and everyone who takes interest in the problems of investigation devoted to the design, development, and applications of methods and techniques for rendering a process of group of machines self-actuating, self-moving, or self-controlling.

  • Ten Mathematical Essays on Approximation in Analysis and Topology

    Ten Mathematical Essays
    • 1st Edition
    • Juan Ferrera + 2 more
    • English
    This book collects 10 mathematical essays on approximation in Analysis and Topology by some of the most influent mathematicians of the last third of the 20th Century. Besides the papers contain the very ultimate results in each of their respective fields, many of them also include a series of historical remarks about the state of mathematics at the time they found their most celebrated results, as well as some of their personal circumstances originating them, which makes particularly attractive the book for all scientist interested in these fields, from beginners to experts. These gem pieces of mathematical intra-history should delight to many forthcoming generations of mathematicians, who will enjoy some of the most fruitful mathematics of the last third of 20th century presented by their own authors.This book covers a wide range of new mathematical results. Among them, the most advanced characterisations of very weak versions of the classical maximum principle, the very last results on global bifurcation theory, algebraic multiplicities, general dependencies of solutions of boundary value problems with respect to variations of the underlying domains, the deepest available results in rapid monotone schemes applied to the resolution of non-linear boundary value problems, the intra-history of the the genesis of the first general global continuation results in the context of periodic solutions of nonlinear periodic systems, as well as the genesis of the coincidence degree, some novel applications of the topological degree for ascertaining the stability of the periodic solutions of some classical families of periodic second order equations, the resolution of a number of conjectures related to some very celebrated approximation problems in topology and inverse problems, as well as a number of applications to engineering, an extremely sharp discussion of the problem of approximating topological spaces by polyhedra using various techniques based on inverse systems, as well as homotopy expansions, and the Bishop-Phelps theorem.Key features:- It contains a number of seminal contributions by some of the most world leading mathematicians of the second half of the 20th Century. - The papers cover a complete range of topics, from the intra-history of the involved mathematics to the very last developments in Differential Equations, Inverse Problems, Analysis, Nonlinear Analysis and Topology. - All contributed papers are self-contained works containing rather complete list of references on each of the subjects covered. - The book contains some of the very last findings concerning the maximum principle, the theory of monotone schemes in nonlinear problems, the theory of algebraic multiplicities, global bifurcation theory, dynamics of periodic equations and systems, inverse problems and approximation in topology. - The papers are extremely well written and directed to a wide audience, from beginners to experts. An excellent occasion to become engaged with some of the most fruitful mathematics developed during the last decades.

  • Advances in Computers

    Parallel, Distributed, and Pervasive Computing
    • 1st Edition
    • Volume 63
    • Suyel Namasudra + 1 more
    • English
    The term computation gap has been defined as the difference between the computational power demanded by the application domain and the computational power of the underlying computer platform. Traditionally, closing the computation gap has been one of the major and fundamental tasks of computer architects. However, as technology advances and computers become more pervasive in the society, the domain of computer architecture has been extended. The scope of research in the computer architecture is no longer restricted to the computer hardware and organization issues. A wide spectrum of topics ranging from algorithm design to power management is becoming part of the computer architecture. Based on the aforementioned trend and to reflect recent research efforts, attempts were made to select a collection of articles that covers different aspects of contemporary computer architecture design. This volume of the Advances in Computers contains six chapters on different aspects of computer architecture. Key features: Wide range of research topics Coverage of new topics such as power management, Network on Chip, Load balancing in distributed systems, and pervasive computing Simple writing style

  • Volterra Integral and Differential Equations

    • 2nd Edition
    • Volume 202
    • Ted A. Burton
    • English
    Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork, allowing the readers to parlay their knowledge of ordinary differential equations into theory and application of the more general problems. Thus, the presentation starts slowly with very familiar concepts and shows how these are generalized in a natural way to problems involving a memory. Liapunov's direct method is gently introduced and applied to many particular examples in ordinary differential equations, Volterra integro-differential equations, and functional differential equations. By Chapter 7 the momentum has built until we are looking at problems on the frontier. Chapter 7 is entirely new, dealing with fundamental problems of the resolvent, Floquet theory, and total stability. Chapter 8 presents a solid foundation for the theory of functional differential equations. Many recent results on stability and periodic solutions of functional differential equations are given and unsolved problems are stated.

  • Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms

    • 1st Edition
    • Erich Peter Klement + 1 more
    • English
    This volume gives a state of the art of triangular norms which can be used for the generalization of several mathematical concepts, such as conjunction, metric, measure, etc. 16 chapters written by leading experts provide a state of the art overview of theory and applications of triangular norms and related operators in fuzzy logic, measure theory, probability theory, and probabilistic metric spaces.Key Features:- Complete state of the art of the importance of triangular norms in various mathematical fields- 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications- Chapter authors are leading authorities in their fields- Triangular norms on different domains (including discrete, partially ordered) are described- Not only triangular norms but also related operators (aggregation operators, copulas) are covered- Book contains many enlightening illustrations

  • Maple By Example

    • 3rd Edition
    • Martha L. Abell + 1 more
    • English
    Maple by Example, Third Edition, is a reference/text for beginning and experienced students, professional engineers, and other Maple users. This new edition has been updated to be compatible with the most recent release of the Maple software. Coverage includes built-in Maple commands used in courses and practices that involve calculus, linear algebra, business mathematics, ordinary and partial differential equations, numerical methods, graphics and more.

Related subjects