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A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 10th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible book speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides a thorough treatment of boundary-value problems and partial differential equations. Автор: BoyceНазвание: Elementary Differential Equations and Boundary Value Problems, 10th Edition International Student VersionISBN: ISBN-13(EAN): 9781118323618 Издательство: WileyРейтинг: Цена: 7107 р. Наличие на складе: Поставка под заказ. Описание: The 10th edition of Elementary Differential Equations and Boundary Value Problems, like its predecessors, is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 10th edition includes new problems, updated figures and examples to help motivate students. The book is written primarily for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for reading the book is a working knowledge of calculus, gained from a normal two?(or three) semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations. Название: Solution techniques for elementary partial differential equationsISBN: ISBN-13(EAN): 9781439811399 Издательство: Taylor&FrancisРейтинг: Цена: 3436 р. Наличие на складе: Поставка под заказ. Описание: Incorporating a number of enhancements, Solution Techniques for Elementary Partial Differential Equations, Second Edition presents some of the most important and widely used methods for solving partial differential equations (PDEs). The techniques covered include separation of variables, method of characteristics, eigenfunction expansion, Fourier and Laplace transformations, Greens functions, perturbation methods, and asymptotic analysis. New to the Second Edition New sections on Cauchy?Euler equations, Bessel functions, Legendre polynomials, and spherical harmonics A new chapter on complex variable methods and systems of PDEs Additional mathematical models based on PDEs Examples that show how the methods of separation of variables and eigenfunction expansion work for equations other than heat, wave, and Laplace Supplementary applications of Fourier transformations The application of the method of characteristics to more general hyperbolic equations Expanded tables of Fourier and Laplace transforms in the appendix Many more examples and nearly four times as many exercises This edition continues to provide a streamlined, direct approach to developing students? competence in solving PDEs. It offers concise, easily understood explanations and worked examples that enable students to see the techniques in action. Available for qualifying instructors, the accompanying solutions manual includes full solutions to the exercises. Instructors can obtain a set of template questions for testexam papers as well as computer-linked projector files directly from the author. Problems 1.1.1 - 1.3.16Problems 1.3.17 - 2.2.14Problems 2.2.15 - 2.4.14Problems 2.4.15 - 2.6.20Problems 2.6.21 - 2.9.12Problems 2.9.13 - 3.1.8Problems 3.1.9 - 3.2.48Problems 3.2.49 - 3.4.18Problems 3.4.19 - 3.5.39Problems 3.6.1 - 3.8.4Problems 3.8.5 - 4.2.22Problems 4.2.23 - 5.1.12Problems 5.1.13 - 5.3.24Problems 5.3.25 - 5.5.12Problems 5.5.13 - 6.1.28Problems 6.1.29 - 6.3.28Problems 6.3.29 - 6.6.4Problems 6.6.5 - 7.2.20Problems 7.2.21 - 7.5.16Problems 7.5.17 - 7.8.4 Problems 7.8.5 - 8.1.27 Problems 8.2.1 - 8.5.9 Problems 8.6.1 - 9.3.8 Problems 9.3.9 - 9.6.8 Problems 9.6.9 - 10.2.4 Problems 10.2.5 - 10.4.24 Problems 10.4.25 - 10.7.4 Problems 10.7.5 - 11.2.8 Problems 11.2.9 - 11.6.13 Chapter 1: Introduction Section 1.1: Some Basic Mathematical Models; Direction Fields Section 1.2: Solutions of Some Differential Equations Section 1.3: Classification of Differential Equations Section 1.4: Historical Remarks Chapter 2: First Order Differential Equations Section 2.1: Linear Equations; Method of Integrating Factors Section 2.2: Separable Equations Section 2.3: Modeling with First Order Equations Section 2.4: Differences Between Linear and Nonlinear Equations Section 2.5: Autonomous Equations and Population Dynamics Section 2.6: Exact Equations and Integrating Factors Section 2.7: Numerical Approximations: Eulers Method Section 2.8: The Existence and Uniqueness Theorem Section 2.9: First Order Difference Equations Chapter 3: Second Order Linear Equations Section 3.1: Homogeneous Equations with Constant Coefficients Section 3.2: Solutions of Linear Homogeneous Equations; the Wronskian Section 3.3: Complex Roots of the Characteristic Equation Section 3.4: Repeated Roots; Reduction of Order Section 3.5: Nonhomogeneous Equations; Method of Undetermined Coefficients Section 3.6: Variation of Parameters Section 3.7: Mechanical and Electrical Vibrations Section 3.8: Forced Vibrations Chapter 4: Higher Order Linear Equations Section 4.1: General Theory of nth Order Linear Equations Section 4.2: Homogeneous Equations with Constant Coefficients Section 4.3: The Method of Undetermined Coefficients Section 4.4: The Method of Variation of Parameters Chapter 5: Series Solutions of Second Order Linear Equations Section 5.1: Review of Power Series Section 5.2: Series Solutions Near an Ordinary Point, Part I Section 5.3: Series Solutions Near an Ordinary Point, Part II Section 5.4: Euler Equations; Regular Singular Points Section 5.5: Series Solutions Near a Regular Singular Point, Part I Section 5.6: Series Solutions Near a Regular Singular Point, Part II Section 5.7: Bessels Equation Chapter 6: The Laplace Transform Section 6.1: Definition of the Laplace Transform Section 6.2: Solution of Initial Value Problems Section 6.3: Step Functions Section 6.4: Differential Equations with Discontinuous Forcing Functions Section 6.5: Impulse Functions Section 6.6: The Convolution Integral Chapter 7: Systems of First Order Linear Equations Section 7.1: Introduction Section 7.2: Review of Matrices Section 7.3: Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors Section 7.4: Basic Theory of Systems of First Order Linear Equations Section 7.5: Homogeneous Linear Systems with Constant Coefficients Section 7.6: Complex Eigenvalues Section 7.7: Fundamental Matrices Section 7.8: Repeated Eigenvalues Section 7.9: Nonhomogeneous Linear Systems Chapter 8: Numerical Methods Section 8.1: The Euler or Tangent Line Method Section 8.2: Improvements on the Euler Method Section 8.3: The Runge-Kutta Method Section 8.4: Multistep Methods Section 8.5: Systems of First Order Equations Section 8.6: More on Errors; Stability Chapter 9: Nonlinear Differential Equations and Stability Section 9.1: The Phase Plane: Linear Systems Section 9.2: Autonomous Systems and Stability Section 9.3: Locally Linear Systems Section 9.4: Competing Species Section 9.5: Predator-Prey Equations Section 9.6: Liapunovs Second Method Section 9.7: Periodic Solutions and Limit Cycles Section 9.8: Chaos and Strange Attractors: The Lorenz Equations Chapter 10: Partial Differential Equations and Fourier Series Section 10.1: Two-Point Boundary Value Problems Section 10.2: Fourier Series Section 10.3: The Fourier Convergence Theorem Section 10.4: Even and Odd Functions Section 10.5: Separation of Variables; Heat Conduction in a Rod Section 10.6: Other Heat Conduction Problems Section 10.7: The Wave Equation: Vibrations of an Elastic String Section 10.8: Laplaces Equation Chapter 11: Boundary Value Problems and Sturm-Liouville Theory Section 11.1: The Occurence of Two-Point Boundary Value Problems Section 11.2: Sturm-Liouville Boundary Value Problems Section 11.3: Nonhomogeneous Boundary Value Problems Section 11.4: Singular Sturm-Liouville Problems Section 11.5: Further Remarks on the Method of Separation of Variables: A Bessel Series Expansion Section 11.6: Series of Orthogonal Functions: Mean Convergence STEM Jock • About • Privacy PolicyCopyright © 2017-2022, stemjock.com. 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