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Numerical Methods for Engineers, 8th Edition

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판매중

Numerical Methods for Engineers, 8th Edition
좋아요: 23
  • 저자 : Steven Chapra , Raymond Canale
  • 출간일 : 2021-02-18
  • 페이지 : 1008쪽
  • ISBN : 9781260571387
  • 물류코드 :30003
본 도서는 대학 강의용 교재로 개발되었으므로 연습문제 해답은 제공하지 않습니다.

합계 : 45,000

  • Steve Chapra and Raymond Canale collaborated on the 1st edition of NUMERICAL METHODS FOR ENGINEERS published by McGraw-Hill in 1985. Now in its 8th edition, it is the most widely used text of this type by colleges and universities around the world and has been translated into 10 languages.

     

    The eighth edition of Chapra and Canale's Numerical Methods for Engineers retains the instructional techniques that have made the text so successful. The book covers the standard numerical methods employed by both students and practicing engineers. Although relevant theory is covered, the primary emphasis is on how the methods are applied for engineering problem solving. Each part of the book includes a chapter devoted to case studies from the major engineering disciplines.

     

    Numerous new or revised end-of chapter problems and case studies are drawn from actual engineering practice. This edition also includes several new topics including a new formulation for cubic splines, Monte Carlo integration, and supplementary material on hyperbolic partial differential equations.

     

    ▶ Hallmark Features of the Text

    Theory is included in a practical way

    As it provides insights into the strengths and shortcomings of the methods.

     

    Emphasis on trade-offs among methods

    This helps students understand that several methods are typically available to solve a particular mathematical problem and that there are trade-offs between methods (e.g., speed versus accuracy).

     

    Student-oriented pedagogy

    This book is written for the student, not the instructor. Features supporting this goal are the overall organisation, the use of introductions and epilogues to consolidate major topics, the extensive use of worked examples and case studies from all areas of engineering, and liberal use of figures to graphically illuminate concepts and theory. The authors have also endeavoured to keep our explanations straightforward and practically oriented.

     

    Strong emphasis on both programming and packages

    This helps the authorsto apply numerical methods for problem solving. The authors empower students by helping them utilise the numerical problem-solving capabilities of packages like Excel, MATLAB, and Mathcad software. However, students are also shown how to develop simple, well-structured programs to extend the base capabilities of those environments.

     

    Engineering and science examples, case studies, and end-of-chapter problems

    Drawing from engineering and scientific problem-solving contexts this enlivens the student experience by 

    emphasising how the methods will help them in practice.

     

    ▶ Overall Changes and New Topics

    New and revised problems

    Numerous new or revised end-of chapter problems and case studies are drawn from actual 

    Engineering practice.

     

    New, improved formulation for cubic splines

    Easier to understand than the previous version and compatible with MATLAB algorithm.

     

    Monte Carlo integration

    Increasingly used in engineering and science.

     

    Supplementary material on hyperbolic partial differential equations (PDEs)

    Together with existing material on Elliptic & Parabolic PDEs, makes the part of the book on PDEs more complete.

     

    ▶ For Students & Instructors 

    https://www.mheducation.com/highered/support.html

     

  • [저자] Steven Chapra

    Steven C. Chapra (Medford, MA) is Professor of Civil and Environmental Engineering, Tufts University.

    Steven Chapra was an environmental engineer in the Department of Civil and Environmental Engineering at Tufts School of Engineering. He received his Ph.D. from the University of Michigan and his B.S. and M.E. from Manhattan College. He has worked for the U.S. EPA, NOAA, Texas A&M University, and the University of Colorado. His teaching philosophy is based on respect for students, organization and professionalism, knowledge and enthusiasm for the subject, fairness in evaluation, and rapport and listening. He is a Fellow of the American Society of Civil Engineers and was a member of the inaugural group of Fellows for the Association of Environmental Engineering and Science Professors (AEESP).

    [저자] Raymond Canale

    Raymond P. Canale is Professor of Civil and Environmental Engineering, Michigan University.

  • Part 1 - Modeling, Computers, and Error Analysis

    1) Mathematical Modeling and Engineering Problem Solving

    2) Programming and Software

    3) Approximations and Round-Off Errors

    4) Truncation Errors and the Taylor Series

     

    Part 2 - Roots of Equations

    5) Bracketing Methods

    6) Open Methods

    7) Roots of Polynomials

    8) Case Studies: Roots of Equations

     

    Part 3 - Linear Algebraic Equations

    9) Gauss Elimination

    10) LU Decomposition and Matrix Inversion

    11) Special Matrices and Gauss-Seidel

    12) Case Studies: Linear Algebraic Equations

     

    Part 4 - Optimization

    13) One-Dimensional Unconstrained Optimization

    14) Multidimensional Unconstrained Optimization

    15) Constrained Optimization

    16) Case Studies: Optimization

     

    Part 5 - Curve Fitting

    17) Least-Squares Regression

    18) Interpolation

    19) Fourier Approximation

    20) Case Studies: Curve Fitting

     

    Part 6 - Numerical Differentiation and Integration

    21) Newton-Cotes Integration Formulas

    22) Integration of Equations

    23) Numerical Differentiation

    24) Case Studies: Numerical Integration and Differentiation

     

    Part 7 - Ordinary Differential Equations

    25) Runge-Kutta Methods

    26) Stiffness and Multistep Methods

    27) Boundary-Value and Eigenvalue Problems

    28) Case Studies: Ordinary Differential Equations

     

    Part 8 - Partial Differential Equations

    29) Finite Difference: Elliptic Equations

    30) Finite Difference: Parabolic Equations

    31) Finite-Element Method

    32) Case Studies: Partial Differential Equations

     

    Appendix A - The Fourier Series

    Appendix B - Getting Started with Matlab

    Appendix C - Getting Started with Mathcad

    Bibliography

    Index

  •  

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