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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

    • Boundary Value Problems

      • 5th Edition
      • October 19, 2005
      • David L. Powers
      • English
      • Hardback
        9 7 8 0 1 2 5 6 3 7 3 8 1
      • eBook
        9 7 8 0 0 8 0 4 7 0 7 9 5
      Boundary Value Problems, Fifth Edition, is the leading text on boundary value problems and Fourier series. The author, David Powers, has written a thorough theoretical overview of solving boundary value problems involving partial differential equations by the methods of separation of variables. Professors and students agree that Powers is a master at creating linear problems that adroitly illustrate the techniques of separation of variables used to solve science and engineering. His expertise is fully apparent in this updated text. The text progresses at a comfortable pace for undergraduates in engineering and mathematics, illustrating the classical methods with clear explanations and hundreds of exercises. This updated edition contains many new features, including nearly 900 exercises ranging in difficulty, chapter review questions, and many fully worked examples. This text is ideal for professionals and students in mathematics and engineering, especially those working with partial differential equations.

    • Landmark Writings in Western Mathematics 1640-1940

      • 1st Edition
      • February 11, 2005
      • Ivor Grattan-Guinness
      • English
      • Hardback
        9 7 8 0 4 4 4 5 0 8 7 1 3
      • eBook
        9 7 8 0 0 8 0 4 5 7 4 4 4
      This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items.

    • Handbook of Differential Equations: Evolutionary Equations

      • 1st Edition
      • Volume 2
      • October 5, 2005
      • C.M. Dafermos + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 2 0 4 8 7
      • eBook
        9 7 8 0 0 8 0 4 6 1 3 8 0
      The aim of this Handbook is to acquaint the reader with the current status of the theory of evolutionary partial differential equations, and with some of its applications. Evolutionary partial differential equations made their first appearance in the 18th century, in the endeavor to understand the motion of fluids and other continuous media. The active research effort over the span of two centuries, combined with the wide variety of physical phenomena that had to be explained, has resulted in an enormous body of literature. Any attempt to produce a comprehensive survey would be futile. The aim here is to collect review articles, written by leading experts, which will highlight the present and expected future directions of development of the field. The emphasis will be on nonlinear equations, which pose the most challenging problems today.

    • Volterra Integral and Differential Equations

      • 2nd Edition
      • Volume 202
      • April 1, 2005
      • Ted A. Burton
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 7 8 6 9
      • eBook
        9 7 8 0 0 8 0 4 5 9 5 5 4
      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
      • March 25, 2005
      • Erich Peter Klement + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 8 1 4 9
      • Paperback
        9 7 8 0 4 4 4 5 4 5 7 9 4
      • eBook
        9 7 8 0 0 8 0 4 5 9 5 3 0
      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

    • Linear Discrete Parabolic Problems

      • 1st Edition
      • Volume 203
      • December 2, 2005
      • Nikolai Bakaev
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 2 0 3 7
      • Hardback
        9 7 8 0 4 4 4 5 2 1 4 0 8
      • eBook
        9 7 8 0 0 8 0 4 6 2 0 8 0
      This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of discrete evolution equations in Banach space and gives applications of this theory to the analysis of various classes of modern discretization methods, among others, Runge-Kutta and linear multistep methods as well as operator splitting methods.Key features:* Presents a unified approach to examining discretization methods for parabolic equations.* Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space.* Deals with both autonomous and non-autonomous equations as well as with equations with memory.* Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods.* Provides comments of results and historical remarks after each chapter.

    • Reaction-Diffusion Computers

      • 1st Edition
      • October 5, 2005
      • Andrew Adamatzky + 2 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 2 0 4 2 5
      • eBook
        9 7 8 0 0 8 0 4 6 1 2 7 4
      The book introduces a hot topic of novel and emerging computing paradigms and architectures -computation by travelling waves in reaction-diffusion media. A reaction-diffusion computer is a massively parallel computing device, where the micro-volumes of the chemical medium act as elementary few-bit processors, and chemical species diffuse and react in parallel. In the reaction-diffusion computer both the data and the results of the computation are encoded as concentration profiles of the reagents, or local disturbances of concentrations, whilst the computation per se is performed via the spreading and interaction of waves caused by the local disturbances. The monograph brings together results of a decade-long study into designing experimental and simulated prototypes of reaction-diffusion computing devices for image processing, path planning, robot navigation, computational geometry, logics and artificial intelligence. The book is unique because it gives a comprehensive presentation of the theoretical and experimental foundations, and cutting-edge computation techniques, chemical laboratory experimental setups and hardware implementation technology employed in the development of novel nature-inspired computing devices.Key Features:- Non-classical and fresh approach to theory of computation.- In depth exploration of novel and emerging paradigms of nature-inspired computing.- Simple to understand cellular-automata models will help readers/students to design their own computational experiments to advance ideas and concepts described in the book .- Detailed description of receipts and experimental setups of chemical laboratory reaction-diffusion processors will make the book an invaluable resource in practical studies of non-classical and nature-inspired computing architectures .- Step by step explanations of VLSI reaction-diffusion circuits will help students to design their own types of wave-based processors.

    • Half-Linear Differential Equations

      • 1st Edition
      • Volume 202
      • July 6, 2005
      • Ondrej Dosly + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 2 0 2 0
      • Hardback
        9 7 8 0 4 4 4 5 2 0 3 9 5
      • eBook
        9 7 8 0 0 8 0 4 6 1 2 3 6
      The book presents a systematic and compact treatment of the qualitative theory of half-lineardifferent... equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by the book are oscillation and asymptotic theory and the theory of boundary value problems associated with half-linear equations, but the book also contains a treatment of related topics like PDE’s with p-Laplacian, half-linear difference equations and various more general nonlinear differential equations.

    • Student Solutions Manual for Introductory Statistics

      • 2nd Edition
      • October 11, 2005
      • Sheldon M. Ross
      • English
      • Paperback
        9 7 8 0 1 2 0 8 8 5 5 1 0
      • eBook
        9 7 8 0 0 8 0 9 1 6 6 8 2
      This handy supplement shows students how to come to the answers shown in the back of the text. It includes solutions to all of the odd numbered exercises. The text itself:In this second edition, master expositor Sheldon Ross has produced a unique work in introductory statistics. The text's main merits are the clarity of presentation, examples and applications from diverse areas, and most importantly, an explanation of intuition and ideas behind the statistical methods. To quote from the preface, "it is only when a student develops a feel or intuition for statistics that she or he is really on the path toward making sense of data." Consistent with his other excellent books in Probability and Stochastic Modeling, Ross achieves this goal through a coherent mix of mathematical analysis, intuitive discussions and examples.

    • Probability and Random Variables

      • 1st Edition
      • March 15, 2005
      • G P Beaumont
      • English
      • Paperback
        9 7 8 1 9 0 4 2 7 5 1 9 0
      • eBook
        9 7 8 0 8 5 7 0 9 9 4 7 1
      This undergraduate text distils the wisdom of an experienced teacher and yields, to the mutual advantage of students and their instructors, a sound and stimulating introduction to probability theory. The accent is on its essential role in statistical theory and practice, built on the use of illustrative examples and the solution of problems from typical examination papers. Mathematically-frien... for first and second year undergraduate students, the book is also a reference source for workers in a wide range of disciplines who are aware that even the simpler aspects of probability theory are not simple.

Related subjects

Mathematics and applied mathematics

Statistics and probability