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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.

BooksJournals

    • A Course of Higher Mathematics

      • 1st Edition
      • June 6, 2016
      • V. I. Smirnov
      • A. J. Lohwater
      • English
      • Paperback
        9 7 8 1 4 8 3 1 2 0 1 7 1
      • eBook
        9 7 8 1 4 8 3 1 5 2 5 9 2
      Linear Algebra: A Course of Higher Mathematics, Volume III, Part I deals with linear algebra and the theory of groups that are usually found in theoretical physics. This volume discusses linear algebra, quadratic forms theory, and the theory of groups. The properties of determinants are discussed for determinants offer the solution of systems of equations. Cramer's theorem is used to find the solution of a system of linear equations that has as many equations as unknowns. Linear transformations and quadratic forms, for example, coordinate transformation in three-dimensional space and general linear transformation of real three-dimensional space, are considered. The formula for n-dimensional complex space and the transformation of a quadratic form to a sum of squares are analyzed. The latter is explained by using Jacobi's formula to arrive at a significant form of the reduction of a quadratic form to a sum of squares. The basic theory of groups, linear representations of groups, and the theory of partial differential equations that is the basis of the formation of groups with given structural constants are explained. This book is recommended for mathematicians, students, and professors in higher mathematics and theoretical physics.

    • Newnes Telecommunications Pocket Book

      • 1st Edition
      • June 6, 2016
      • E. A. Edis + 1 more
      • English
      • eBook
        9 7 8 1 4 8 3 1 0 1 0 1 9
      Newnes Telecommunications Pocket Book discusses the equipment, systems, and techniques used in the telecommunications network. The book is comprised of 25 chapters that are organized into four parts. The first part covers components of particular relevance to telecommunications. The second part deals with commonly used circuit assemblies such as filters, attenuators, modems, and digitizers. The third part discusses organization and standards. The last part talks about telecommunications network practice, including analogue and digital, fixed and mobile systems. This text will be of great use to professionals in the telecommunications industry.

    • Interconnection Networks

      • 1st Edition
      • Volume 5
      • June 6, 2016
      • J.-C. Bermond
      • English
      • eBook
        9 7 8 1 4 8 3 2 9 5 2 7 5
      Most of the articles in this book deal with static or point-to-pointInterc... Networks. In particular, new constructions are proposed basedon different tools from discrete mathematics. Many new records have beenestablished in the table of the maximum number of vertices of graphs withmaximum degree &Dgr; and diameter D. Properties of thesenetworks (and of more classical ones) are analyzed in many of the otherpapers. About 40% of the articles deal with fault tolerance orvulnerability properties using either combinatorial tools or probabilisticones.

    • Real Time Programming 1977

      • 1st Edition
      • June 6, 2016
      • C. H. Smedema
      • English
      • Paperback
        9 7 8 1 4 8 3 1 2 2 1 6 8
      • eBook
        9 7 8 1 4 8 3 1 5 4 5 8 9
      Real Time Programming 1977 covers the proceedings of the IFAC/IFIP Workshop, held in Eindhoven, Netherlands, on June 20-22, 1977. The book focuses on the languages, methods, and techniques in real time programming, including debugging systems, hardware, parallel programs, and multi-processor systems. The selection first discusses experience with the programming language modula; flexible approaches to process communication; and high level process control “Esprit“ and its source level debugging system “Solda“. The book then takes a look at software tools for designing and realizing distributed systems in process control and steps in implementing a parallel code executor, including system decomposition, challenge of the new hardware, and situation of real-time programming. The publication reviews software specification language for sequential processes and petri nets for proving correctness of parallel programs. Concerns include state graphs as a model for automata and petri net application to programs. The text also focuses on real-time distributed processing system using GEC 4000 series computers; integration of high-level interpretive software with microprocessor-based distributed control systems; and software approach for multi-processor systems. The selection is a vital reference for readers interested in real-time programming.

    • Group Representations

      • 1st Edition
      • Volume 2
      • June 6, 2016
      • Gregory Karpilovsky
      • English
      • eBook
        9 7 8 1 4 8 3 2 9 5 0 9 1
      This second volume deals with projective representations and the Schur multiplier. Some further topics pertaining to projective representations will be covered in the next volume. The bibliography is extensive, leading the reader to various references for detailed discussions on the main topics as well as on related subjects.

    • The Julius Petersen Graph Theory Centennial

      • 1st Edition
      • June 6, 2016
      • L.D. Andersen + 7 more
      • English
      • eBook
        9 7 8 1 4 8 3 2 9 6 3 2 6
      Julius Petersen's paper, Die Theorie der regulären graphs in Acta Mathematica, volume 15 (1891), stands at the beginning of graph theory as we know it today.The Danish group of graph theorists decided in 1985 to mark the 150th birthday of Petersen in 1989, as well as the centennial of his paper.It was felt that the occasion called for a presentation of Petersen's famous paper in its historical context and, in a wider sense, of Petersen's life and work as a whole. However, the readily available information about Julius Petersen amounted to very little (not even a full bibliography existed) and virtually nothing was known about the circumstances that led him to write his famous paper.The study of Petersen's life and work has resulted in several papers, in particular a biography, a bibliography, an annotated edition of the letters surrounding Petersen's paper of 1891, an analysis of Petersen's paper and an annotated edition of parts of Petersen's correspondence with Sylow on Galois theory. The first four of these papers, together with a survey of matching theory, form the first part of this book. In addition to these five special papers, there are papers submitted in the celebration of the Petersen centennial.

    • Servicing Personal Computers

      • 2nd Edition
      • June 6, 2016
      • Michael Tooley
      • English
      • eBook
        9 7 8 1 4 8 3 1 0 1 0 3 3
      Servicing Personal Computers, Second Edition focuses on the techniques and processes involved in the repair of personal computers. The book first discusses microcomputer systems. Microprocessors, Z80 support devices, random access memory, parallel input and output, and memory mapped input and output are then explained. The text looks at test equipment, printers and monitors, and tapes and disk drives. The publication also discusses fault diagnosis and considers initial check procedures, testing the CPU board, and miscellaneous faults. The book then underscores the servicing of IBM PC and compatibles. The 8086 and 8088 microprocessors, 8086 registers, 80286 microprocessor, support devices, and useful memory locations are described. The text also presents commonly used symbols, TTL families and device numbering, common TTL pin-outs, RAM data, and equivalent logic functions. The selection is a vital source of information for those interested in personal computer repair.

    • Designs and Graphs

      • 1st Edition
      • Volume 4
      • June 6, 2016
      • C.J. Colbourn + 2 more
      • English
      • eBook
        9 7 8 1 4 8 3 2 9 4 7 5 9
      In 1988, the news of Egmont Köhler's untimely death at the age of 55reached his friends and colleagues. It was widely felt that a lastingmemorial tribute should be organized. The result is the present volume,containing forty-two articles, mostly in combinatorial design theory andgraph theory, and all in memory of Egmont Köhler. Designs and graphswere his areas of particular interest; he will long be remembered for hisresearch on cyclic designs, Skolem sequences, t-designs and theOberwolfach problem. Professors Lenz and Ringel give a detailedappreciation of Köhler's research in the first article of thisvolume.There is, however, one aspect of Egmont Köhler's biographythat merits special attention. Before taking up the study of mathematics atthe age of 31, he had completed training as a musician (studying bothcomposition and violoncello at the Musikhochschule in Berlin), and workedas a cellist in a symphony orchestra for some years. This accounts for hisinterest in the combinatorial aspects of music. His work and lectures inthis direction had begun to attract the interest of many musicians, and hehad commenced work on a book on mathematical aspects of musical theory. Itis tragic indeed that his early death prevented the completion of his work;the surviving paper on the classification and complexity of chordsindicates the loss that his death meant to the area, as he was almostuniquely qualified to bring mathematics and music together, being aprofessional in both fields.

    • A Collection of Contributions in Honour of Jack van Lint

      • 1st Edition
      • June 6, 2016
      • P.J. Cameron + 1 more
      • English
      • eBook
        9 7 8 1 4 8 3 2 9 4 1 9 3
      This collection of contributions is offered to Jack van Lint on the occasion of his sixtieth birthday and appears simultaneously in the series Topics in Discrete Mathematics and as a special double volume of Discrete Mathematics (Volumes 106/107). It is hoped that the papers selected, all written by experts in their own fields, represent the many interesting areas that together constitute the discipline of Discrete Mathematics. It is in this sphere that van Lint has become the acknowledged master and this expansive volume serves to demonstrate the enormous significance he has had on the development of Discrete Mathematics during the last 30 years.

    • Directions in Infinite Graph Theory and Combinatorics

      • 1st Edition
      • Volume 3
      • June 6, 2016
      • R. Diestel
      • English
      • eBook
        9 7 8 1 4 8 3 2 9 4 7 9 7
      This book has arisen from a colloquium held at St. John's College, Cambridge, in July 1989, which brought together most of today's leading experts in the field of infinite graph theory and combinatorics. This was the first such meeting ever held, and its aim was to assess the state of the art in the discipline, to consider its links with other parts of mathematics, and to discuss possible directions for future development. This volume reflects the Cambridge meeting in both level and scope. It contains research papers as well as expository surveys of particular areas. Together they offer a comprehensive portrait of infinite graph theory and combinatorics, which should be particularly attractive to anyone new to the discipline.

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