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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

    • Integrated Population Biology and Modeling Part B

      • 1st Edition
      • Volume 40
      • February 5, 2019
      • English
      • Hardback
        9 7 8 0 4 4 4 6 4 1 5 2 6
      • eBook
        9 7 8 0 4 4 4 6 4 1 5 3 3
      Integrated Population Biology and Modeling: Part B, Volume 40, offers very delicately complex and precise realities of quantifying modern and traditional methods of understanding populations and population dynamics, with this updated release focusing on Prey-predator animal models, Back projections, Evolutionary Biology computations, Population biology of collective behavior and bio patchiness, Collective behavior, Population biology through data science, Mathematical modeling of multi-species mutualism: new insights, remaining challenges and applications to ecology, Population Dynamics of Manipur, Stochastic Processes and Population Dynamics Models: The Mechanisms for Extinction, Persistence and Resonance, Theories of Stationary Populations and association with life lived and life left, and more.

    • Model Engineering for Simulation

      • 1st Edition
      • February 27, 2019
      • Lin Zhang + 2 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 3 5 4 3 3
      • eBook
        9 7 8 0 1 2 8 1 3 5 4 4 0
      Model Engineering for Simulation provides a systematic introduction to the implementation of generic, normalized and quantifiable modeling and simulation using DEVS formalism. It describes key technologies relating to model lifecycle management, including model description languages, complexity analysis, model management, service-oriented model composition, quantitative measurement of model credibility, and model validation and verification. The book clearly demonstrates how to construct computationally efficient, object-oriented simulations of DEVS models on parallel and distributed environments.

    • Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 1

      • 1st Edition
      • Volume 19
      • November 8, 2018
      • English
      • Hardback
        9 7 8 0 4 4 4 6 4 2 0 5 9
      • eBook
        9 7 8 0 4 4 4 6 4 2 0 6 6
      Processing, Analyzing and Learning of Images, Shapes, and Forms: Volume 19, Part One provides a comprehensive survey of the contemporary developments related to the analysis and learning of images, shapes and forms. It covers mathematical models as well as fast computational techniques, and includes new chapters on Alternating diffusion: a geometric approach for sensor fusion, Shape Correspondence and Functional Maps, Geometric models for perception-based image processing, Decomposition schemes for nonconvex composite minimization: theory and applications, Low rank matrix recovery: algorithms and theory, Geometry and learning for deformation shape correspondence, and Factoring scene layout from monocular images in presence of occlusion.

    • Analysis and Control of Polynomial Dynamic Models with Biological Applications

      • 1st Edition
      • March 21, 2018
      • Gabor Szederkenyi + 2 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 5 4 9 5 3
      • eBook
        9 7 8 0 1 2 8 1 5 4 9 6 0
      Analysis and Control of Polynomial Dynamic Models with Biological Applications synthesizes three mathematical background areas (graphs, matrices and optimization) to solve problems in the biological sciences (in particular, dynamic analysis and controller design of QP and polynomial systems arising from predator-prey and biochemical models). The book puts a significant emphasis on applications, focusing on quasi-polynomial (QP, or generalized Lotka-Volterra) and kinetic systems (also called biochemical reaction networks or simply CRNs) since they are universal descriptors for smooth nonlinear systems and can represent all important dynamical phenomena that are present in biological (and also in general) dynamical systems.

    • A Contemporary Study of Iterative Methods

      • 1st Edition
      • February 13, 2018
      • A. Alberto Magrenan + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 0 9 2 1 4 9
      • eBook
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      A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, mathematical economics, mathematical biology and other applied sciences. It uses the popular iteration technique in generating the approximate solutions of complex nonlinear equations that is suitable for aiding in the solution of advanced problems in engineering, mathematical economics, mathematical biology and other applied sciences. Iteration methods are also applied for solving optimization problems. In such cases, the iteration sequences converge to an optimal solution of the problem at hand.

    • The Cognitive Basis of Institutions

      • 1st Edition
      • February 16, 2018
      • Shinji Teraji
      • English
      • Paperback
        9 7 8 0 1 2 8 1 2 0 2 3 1
      • eBook
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      The Cognitive Basis of Institutions: A Synthesis of Behavioral and Institutional Economics synthesizes modern research in behavioral economics with traditional institutional economics. This work emphasizes that institution and agent are inextricably linked, and that both cognitive and institutional processes coalesce to influence human decision-making. It integrates cognition and institution through the behavioral economics theoretical lens of bounded rationality. Methodologically, it develops game-theoretical, complexity and neuroeconomic solutions to unite study of the two areas. The work concludes by proposing general implications for the economic study of decisions using the cognitive-institutio... approach, also providing specific recommendations for public policy.

    • Stochastic Analysis of Mixed Fractional Gaussian Processes

      • 1st Edition
      • May 22, 2018
      • Yuliya Mishura + 1 more
      • English
      • Hardback
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      • eBook
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      Stochastic Analysis of Mixed Fractional Gaussian Processes presents the main tools necessary to characterize Gaussian processes. The book focuses on the particular case of the linear combination of independent fractional and sub-fractional Brownian motions with different Hurst indices. Stochastic integration with respect to these processes is considered, as is the study of the existence and uniqueness of solutions of related SDE's. Applications in finance and statistics are also explored, with each chapter supplying a number of exercises to illustrate key concepts.

    • Theory of Modeling and Simulation

      • 3rd Edition
      • August 14, 2018
      • Bernard P. Zeigler + 2 more
      • English
      • Paperback
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      • eBook
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      Theory of Modeling and Simulation: Discrete Event & Iterative System Computational Foundations, Third Edition, continues the legacy of this authoritative and complete theoretical work. It is ideal for graduate and PhD students and working engineers interested in posing and solving problems using the tools of logico-mathematical modeling and computer simulation. Continuing its emphasis on the integration of discrete event and continuous modeling approaches, the work focuses light on DEVS and its potential to support the co-existence and interoperation of multiple formalisms in model components. New sections in this updated edition include discussions on important new extensions to theory, including chapter-length coverage of iterative system specification and DEVS and their fundamental importance, closure under coupling for iteratively specified systems, existence, uniqueness, non-deterministic conditions, and temporal progressiveness (legitimacy).

    • Fundamentals of Advanced Mathematics V2

      • 1st Edition
      • January 17, 2018
      • Henri Bourles
      • English
      • Hardback
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      • eBook
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      The three volumes of this series of books, of which this is the second, put forward the mathematical elements that make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. Whereas the first volume focused on the formal conditions for systems of linear equations (in particular of linear differential equations) to have solutions, this book presents the approaches to finding solutions to polynomial equations and to systems of linear differential equations with varying coefficients. Fundamentals of Advanced Mathematics, Volume 2: Field Extensions, Topology and Topological Vector Spaces, Functional Spaces, and Sheaves begins with the classical Galois theory and the theory of transcendental field extensions. Next, the differential side of these theories is treated, including the differential Galois theory (Picard-Vessiot theory of systems of linear differential equations with time-varying coefficients) and differentially transcendental field extensions. The treatment of analysis includes topology (using both filters and nets), topological vector spaces (using the notion of disked space, which simplifies the theory of duality), and the radon measure (assuming that the usual theory of measure and integration is known). In addition, the theory of sheaves is developed with application to the theory of distributions and the theory of hyperfunctions (assuming that the usual theory of functions of the complex variable is known). This volume is the prerequisite to the study of linear systems with time-varying coefficients from the point-of-view of algebraic analysis and the algebraic theory of nonlinear systems.

    • Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations

      • 1st Edition
      • January 2, 2018
      • Gemma Robles + 1 more
      • English
      • Paperback
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      • eBook
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      Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations examines how to introduce intuitionistic-type negations into RM-semantics. RM-semantics is highly malleable and capable of modeling families of logics which are very different from each other. This semantics was introduced in the early 1970s, and was devised for interpreting relevance logics. In RM-semantics, negation is interpreted by means of the Routley operator, which has been almost exclusively used for modeling De Morgan negations. This book provides research on particular features of intuitionistic-type of negations in RM-semantics, while also defining the basic systems and many of their extensions by using models with or without a set of designated points.

Related subjects

Mathematics and applied mathematics

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