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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

    • Linear Models

      • 1st Edition
      • October 9, 1996
      • William R. Moser
      • English
      • Paperback
        9 7 8 0 1 2 3 9 9 2 4 6 8
      • Hardback
        9 7 8 0 1 2 5 0 8 4 6 5 9
      • eBook
        9 7 8 0 0 8 0 5 1 0 2 9 3
      Linear models, normally presented in a highly theoretical and mathematical style, are brought down to earth in this comprehensive textbook. Linear Models examines the subject from a mean model perspective, defining simple and easy-to-learn rules for building mean models, regression models, mean vectors, covariance matrices and sums of squares matrices for balanced and unbalanced data sets. The author includes both applied and theoretical discussions of the multivariate normal distribution, quadratic forms, maximum likelihood estimation, less than full rank models, and general mixed models. The mean model is used to bring all of these topics together in a coherent presentation of linear model theory.

    • Causal Symmetric Spaces

      • 1st Edition
      • Volume 18
      • September 11, 1996
      • Gestur Olafsson + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 3 8 8 7 1 1 5
      • eBook
        9 7 8 0 0 8 0 5 2 8 7 2 4
      This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered standard by specialists have not been widely published. This book seeks to bring this information to students and researchers in geometry and analysis on causal symmetric spaces.

    • 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.

    • 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.

    • Probability - Modular Mathematics Series

      • 1st Edition
      • May 17, 1995
      • John McColl
      • English
      • Paperback
        9 7 8 0 3 4 0 6 1 4 2 6 6
      • eBook
        9 7 8 0 0 8 0 5 7 1 8 9 8
      Probability is relevant to so many different subject areas that its importance as a mathematical technique cannot be underestimated. This book provides a comprehensive, user-friendly introduction to the subject. The step-by-step approach taken by the author allows students to develop knowledge at their own pace and, by working through the numerous exercises, they are ensured a full understanding of the material before moving on to more advanced sections. Traditional examples of probablistic theory, such as coins and dice, are included but the author has also used many exercises based on real-life problems. The result is an introduction to probability that avoids the overly confusing, theoretical approach often adopted in this area, and provides a simple and concise text that will be invaluable to all studying first and second year courses on the subject.

    • Analytic Element Modeling of Groundwater Flow

      • 1st Edition
      • September 20, 1995
      • H. M. Haitjema
      • English
      • eBook
        9 7 8 0 0 8 0 4 9 9 1 0 9
      Modeling has become an essential tool for the groundwater hydrologist. Where field data is limited, the analytic element method (AEM) is rapidly becoming the modeling method of choice, especially given the availability of affordable modeling software. Analytic Element Modeling of Groundwater Flow provides all the basics necessary to approach AEM successfully, including a presentation of fundamental concepts and a thorough introduction to Dupuit-Forchheimerfl... This book is unique in its emphasis on the actual use of analytic element models. Real-world examples complement material presented in the text.An educational version of the analytic element program GFLOW is included to allow the reader to reproduce the various solutions to groundwater flow problems discussed in the text. Researchers and graduate students in groundwater hydrology, geology, andengineering will find this book an indispensable resource.

Related subjects

Mathematics and applied mathematics

Statistics and probability