A First Course in Scientific Computing : : Symbolic, Graphic, and Numeric Modeling Using Maple, Java, Mathematica, and Fortran90 / / Rubin H. Landau.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
• VerfasserIn: Landau, Rubin H.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2011]; ©2005
• Year of Publication: 2011
• Language: English
• Physical Description: 1 online resource (512 p.) :; 50 line illus.

This book offers a new approach to introductory scientific computing. It aims to make students comfortable using computers to do science, to provide them with the computational tools and knowledge they need throughout their college careers and into their professional careers, and to show how all the pieces can work together. Rubin Landau introduces the requisite mathematics and computer science in the course of realistic problems, from energy use to the building of skyscrapers to projectile motion with drag. He is attentive to how each discipline uses its own language to describe the same concepts and how computations are concrete instances of the abstract. Landau covers the basics of computation, numerical analysis, and programming from a computational science perspective. The first part of the printed book uses the problem-solving environment Maple as its context, with the same material covered on the accompanying CD as both Maple and Mathematica programs; the second part uses the compiled language Java, with equivalent materials in Fortran90 on the CD; and the final part presents an introduction to LaTeX replete with sample files. Providing the essentials of computing, with practical examples, A First Course in Scientific Computing adheres to the principle that science and engineering students learn computation best while sitting in front of a computer, book in hand, in trial-and-error mode. Not only is it an invaluable learning text and an essential reference for students of mathematics, engineering, physics, and other sciences, but it is also a consummate model for future textbooks in computational science and engineering courses. A broad spectrum of computing tools and examples that can be used throughout an academic career Practical computing aimed at solving realistic problems Both symbolic and numerical computations A multidisciplinary approach: science + math + computer science Maple and Java in the book itself; Mathematica, Fortran90, Maple and Java on the accompanying CD in an interactive workbook format

Table of Contents

Frontmatter -- Contents -- List of Figures -- List of Tables -- Preface -- Chapter 1. Introduction -- PART 1. MAPLE (OR MATHEMATICA) BY DOING -- Chapter 2. Getting Started with Maple -- Chapter 3. Numbers, Expressions, Functions; Rocket Golf -- Chapter 4. Visualizing Data, Abstract Types; Electric Fields -- Chapter 5. Solving Equations, Differentiation; Towers -- Chapter 6. Integration; Power and Energy Usage (Also 14) -- Chapter 7. Matrices and Vectors; Rotation -- Chapter 8. Searching, Programming; Dipsticks -- PART 2. JAVA (OR FORTRAN90) BY DOING -- Chapter 9. Getting Started with Java -- Chapter 10. Data Types, Limits, Methods; Rocket Golf -- Chapter 11. Visualization with Java, Classes, Packages -- Chapter 12. Flow Control via Logic; Projectiles -- Chapter 13. Java Input and Output -- Chapter 14. Numerical Integration; Power and Energy Usage -- Chapter 15. Differential Equations with Java and Maple -- Chapter 16. Object-Oriented Programming; Complex Currents -- Chapter 17. Arrays: Vectors, Matrices; Rigid-Body Rotations -- Chapter 18. Advanced Objects; Baton Projectiles -- Chapter 19. Discrete Math, Arrays as Bins; Bug Dynamics -- Chapter 20. 2-D Arrays: File I/O, PDEs; Realistic Capacitor -- Chapter 21. Web Computing, Applets, Primitive Graphics -- PART 3. LATEX SURVIVAL GUIDE -- Chapter 22. LATEX for Text -- Chapter 23. LATEX for Mathematics -- Appendix A. Glossary -- Appendix B. Maple Quick Reference, Debugging Help -- Appendix C. Java Quick Reference and Installing Software -- Bibliography -- Index