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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.

    • Principles of Control Engineering

      • 1st Edition
      • March 17, 1995
      • Fred White
      • English
      • Paperback
        9 7 8 0 3 4 0 6 2 5 4 1 5
      • eBook
        9 7 8 0 0 8 0 9 2 8 6 6 1
      This book provides a basic grounding in the theory of control engineering, without assuming an unrealistic level of mathematical understanding. When control engineering is first approached, no matter what the ultimate application, a certain amount of background theory must be grasped to make sense of the topic. To meet this general need the author presents the basic principles in a clear and accessible way, along with plenty of examples and assessment questions.
    • Calculus and Ordinary Differential Equations

      • 1st Edition
      • December 1, 1995
      • David Pearson
      • English
      • Paperback
        9 7 8 0 3 4 0 6 2 5 3 0 9
      • eBook
        9 7 8 0 0 8 0 9 2 8 6 5 4
      Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students.
    • Linear Algebra

      • 1st Edition
      • June 12, 1995
      • Richard Bronson
      • English
      • Paperback
        9 7 8 0 1 2 1 3 5 2 4 5 5
      • eBook
        9 7 8 0 0 8 0 5 7 1 9 0 4
      In this appealing and well-written text, Richard Bronson gives readers a substructure for a firm understanding of the abstract concepts of linear algebra and its applications. The author starts with the concrete andcomputational (a 3 x 5 matrix describing a stores inventory) and leads the reader to a choice of major applications (Markov chains, least squares approximation, and solution of differential equations using Jordan normal form). The first three chapters address the basics: matrices, vector spaces, and linear transformations. The next three cover eigenvalues, Euclidean inner products, and Jordan canonical forms, offering possibilities that can be tailored to the instructors taste and to the length of the course. Bronsons approach to computation is modern and algorithmic, and his theory is clean and straightforward. Throughout, the views of the theory presented are broad and balanced. Key material is highlighted in the text and summarized at end of each chapter. The book also includes ample exercises with answers and hints. With its inclusion of all the needed pedagogical features, this text will be a pleasure for teachers and students alike.
    • Calculus

      • 1st Edition
      • January 1, 1995
      • R. M. Johnson
      • English
      • Paperback
        9 7 8 1 8 9 8 5 6 3 0 6 8
      • eBook
        9 7 8 0 8 5 7 0 9 9 8 6 0
      This lucid and balanced introduction for first year engineers and applied mathematicians conveys the clear understanding of the fundamentals and applications of calculus, as a prelude to studying more advanced functions. Short and fundamental diagnostic exercises at the end of each chapter test comprehension before moving to new material.
    • Handbook of Combinatorics Volume 1

      • 1st Edition
      • December 11, 1995
      • Bozzano G Luisa
      • English
      • Hardback
        9 7 8 0 4 4 4 8 2 3 4 6 5
      • eBook
        9 7 8 0 0 8 0 9 3 3 3 5 1
      Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.
    • Ordinary Differential Equations

      • 1st Edition
      • December 22, 1995
      • William Cox
      • English
      • Paperback
        9 7 8 0 3 4 0 6 3 2 0 3 1
      • eBook
        9 7 8 0 0 8 0 9 2 8 6 7 8
      Building on introductory calculus courses, this text provides a sound foundation in the underlying principles of ordinary differential equations. Important concepts, including uniqueness and existence theorems, are worked through in detail and the student is encouraged to develop much of the routine material themselves, thus helping to ensure a solid understanding of the fundamentals required.The wide use of exercises, problems and self-assessment questions helps to promote a deeper understanding of the material and it is developed in such a way that it lays the groundwork for further study of partial differential equations.
    • Threshold Graphs and Related Topics

      • 1st Edition
      • Volume 56
      • September 13, 1995
      • N.V.R. Mahadev + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 8 9 2 8 7 4
      • eBook
        9 7 8 0 0 8 0 5 4 3 0 0 0
      Threshold graphs have a beautiful structure and possess many important mathematical properties. They have applications in many areas including computer science and psychology. Over the last 20 years the interest in threshold graphs has increased significantly, and the subject continues to attract much attention.The book contains many open problems and research ideas which will appeal to graduate students and researchers interested in graph theory. But above all Threshold Graphs and Related Topics provides a valuable source of information for all those working in this field.
    • Wave Propagation in Layered Anisotropic Media

      • 1st Edition
      • Volume 39
      • September 27, 1995
      • A.H. Nayfeh
      • English
      • Paperback
        9 7 8 0 4 4 4 5 4 2 1 4 4
      • eBook
        9 7 8 0 0 8 0 5 4 3 7 3 4
      Recent advances in the study of the dynamic behavior of layered materials in general, and laminated fibrous composites in particular, are presented in this book. The need to understand the microstructural behavior of such classes of materials has brought a new challenge to existing analytical tools. This book explores the fundamental question of how mechanical waves propagate and interact with layered anisotropic media. The chapters are organized in a logical sequence depending upon the complexity of the physical model and its mathematical treatment.
    • Vectors in Two or Three Dimensions

      • 1st Edition
      • August 17, 1995
      • Ann Hirst
      • English
      • Paperback
        9 7 8 0 3 4 0 6 1 4 6 9 3
      • eBook
        9 7 8 0 0 8 0 5 7 2 0 1 7
      Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout.Propertie... of vectors are initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimensions and the concept of isometry are introduced later, providing a stepping stone to more advanced theories.