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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

    • Advances in Computers

      • 1st Edition
      • Volume 126
      • March 24, 2022
      • Suyel Namasudra
      • English
      • Hardback
        9 7 8 0 3 2 3 9 8 8 5 5 1
      • eBook
        9 7 8 0 3 2 3 9 8 8 5 6 8
      Advances in Computers, Volume 126 presents innovations in computer hardware, software, theory, design and applications, with this updated volume including new chapters on VLSI for Super-Computing: Creativity in R+D from Applications and Algorithms to Masks and Chips, Bulk Bitwise Execution Model in Memory: Mechanisms, Implementation, and Evaluation, Embracing the Laws of Physics: Three Reversible Models of Computation, WSNs in Environmental Monitoring: Data Acquisition and Dissemination Aspects, Energy efficient implementation of tensor operations using dataflow paradigm for machine learning, and A Run-Time Job Scheduling Algorithm for Cluster Architectures with DataFlow Accelerators.

    • Differential Equations with Mathematica

      • 5th Edition
      • January 18, 2022
      • Martha L. Abell + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 2 4 1 6 0 8
      • eBook
        9 7 8 0 3 2 3 9 8 4 3 6 2
      Differential Equations with Mathematica, Fifth Edition uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists. Mathematica’s diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica’s built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, Mathematica can be used to perform the calculations encountered when solving a differential equation. Because one goal of elementary differential equations courses is to introduce students to basic methods and algorithms so that they gain proficiency in them, nearly every topic covered this book introduces basic commands, also including typical examples of their application. A study of differential equations relies on concepts from calculus and linear algebra, so this text also includes discussions of relevant commands useful in those areas. In many cases, seeing a solution graphically is most meaningful, so the book relies heavily on Mathematica’s outstanding graphics capabilities.

    • Discrete Mathematics

      • 1st Edition
      • April 29, 2022
      • Ali Grami
      • English
      • Paperback
        9 7 8 0 1 2 8 2 0 6 5 6 0
      • eBook
        9 7 8 0 1 2 8 2 0 9 0 9 7
      Discrete Mathematics: Essentials and Applications offers a comprehensive survey of the area, particularly concentrating on the basic principles and applications of Discrete Mathematics. This up-to-date text provides proofs of significance, keeping the focus on numerous relevant examples and many pertinent applications. Written in a simple and clear tone, the title features insightful descriptions and intuitive explanations of all complex concepts and ensures a thorough understanding of the subject matter.

    • Numerical Control: Part A

      • 1st Edition
      • Volume 23
      • February 15, 2022
      • English
      • Hardback
        9 7 8 0 3 2 3 8 5 0 5 9 9
      • eBook
        9 7 8 0 3 2 3 8 5 3 3 9 2
      Numerical Control: Part A, Volume 23 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Numerics for finite-dimensional control systems, Moments and convex optimization for analysis and control of nonlinear PDEs, The turnpike property in optimal control, Structure-Preserving Numerical Schemes for Hamiltonian Dynamics, Optimal Control of PDEs and FE-Approximation, Filtration techniques for the uniform controllability of semi-discrete hyperbolic equations, Numerical controllability properties of fractional partial differential equations, Optimal Control, Numerics, and Applications of Fractional PDEs, and much more.

    • Geometry and Statistics

      • 1st Edition
      • Volume 46
      • June 23, 2022
      • English
      • Hardback
        9 7 8 0 3 2 3 9 1 3 4 5 4
      • eBook
        9 7 8 0 3 2 3 9 1 3 4 6 1
      Geometry and Statistics, Volume 46 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors.

    • Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials

      • 1st Edition
      • February 10, 2022
      • Robert B. Gardner + 2 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 1 9 8 8 4
      • eBook
        9 7 8 0 1 2 8 1 2 0 0 7 1
      Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational and applied sciences; in particular they play a fundamental role in approximation theory. Here, not only Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials, but also ones for trigonometric polynomials and related functions, are treated in an integrated and comprehensive style in different metrics, both on general classes of polynomials and on important restrictive classes of polynomials. Primarily for graduate and PhD students, this book is useful for any researchers exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory.

    • Elementary Linear Algebra

      • 6th Edition
      • April 5, 2022
      • Stephen Andrilli + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 2 2 9 7 8 1
      • eBook
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      *Textbook and Academic Authors Association (TAA) Textbook Excellence Award Winner, 2024*Elementary Linear Algebra, Sixth Edition provides a solid introduction to both the computational and theoretical aspects of linear algebra, covering many important real-world applications, including graph theory, circuit theory, Markov chains, elementary coding theory, least-squares polynomials and least-squares solutions for inconsistent systems, differential equations, computer graphics and quadratic forms. In addition, many computational techniques in linear algebra are presented, including iterative methods for solving linear systems, LDU Decomposition, the Power Method for finding eigenvalues, QR Decomposition, and Singular Value Decomposition and its usefulness in digital imaging.

    • Environmental Data Analysis with MatLab or Python

      • 3rd Edition
      • August 14, 2022
      • William Menke
      • English
      • Paperback
        9 7 8 0 3 2 3 9 5 5 7 6 8
      • eBook
        9 7 8 0 3 2 3 9 5 5 7 7 5
      Environmental Data Analysis with MATLAB, Third Edition, is a new edition that expands fundamentally on the original with an expanded tutorial approach, more clear organization, new crib sheets, and problem sets providing a clear learning path for students and researchers working to analyze real data sets in the environmental sciences. The work teaches the basics of the underlying theory of data analysis and then reinforces that knowledge with carefully chosen, realistic scenarios, including case studies in each chapter. The new edition is expanded to include applications to Python, an open source software environment. Significant content in Environmental Data Analysis with MATLAB, Third Edition is devoted to teaching how the programs can be effectively used in an environmental data analysis setting. This new edition offers chapters that can both be used as self-contained resources or as a step-by-step guide for students, and is supplemented with data and scripts to demonstrate relevant use cases.

    • Simulation

      • 6th Edition
      • June 14, 2022
      • Sheldon M. Ross
      • English
      • Hardback
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      • eBook
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      Simulation, Sixth Edition continues to introduce aspiring and practicing actuaries, engineers, computer scientists and others to the practical aspects of constructing computerized simulation studies to analyze and interpret real phenomena. Readers will learn to apply the results of these analyses to problems in a wide variety of fields to obtain effective, accurate solutions and make predictions. By explaining how a computer can be used to generate random numbers and how to use these random numbers to generate the behavior of a stochastic model over time, this book presents the statistics needed to analyze simulated data and validate simulation models.

    • Advanced Differential Equations

      • 1st Edition
      • April 13, 2022
      • Youssef N. Raffoul
      • English
      • Paperback
        9 7 8 0 3 2 3 9 9 2 8 0 0
      • eBook
        9 7 8 0 3 2 3 9 9 2 8 1 7
      Advanced Differential Equations provides coverage of high-level topics in ordinary differential equations and dynamical systems. The book delivers difficult material in an accessible manner, utilizing easier, friendlier notations and multiple examples. Sections focus on standard topics such as existence and uniqueness for scalar and systems of differential equations, the dynamics of systems, including stability, with examples and an examination of the eigenvalues of an accompanying linear matrix, as well as coverage of existing literature. From the eigenvalues' approach, to coverage of the Lyapunov direct method, this book readily supports the study of stable and unstable manifolds and bifurcations. Additional sections cover the study of delay differential equations, extending from ordinary differential equations through the extension of Lyapunov functions to Lyapunov functionals. In this final section, the text explores fixed point theory, neutral differential equations, and neutral Volterra integro-differential equations.

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