An introduction to C++ and numerical methods

書誌事項

An introduction to C++ and numerical methods

James M. Ortega, Andrew S. Grimshaw

Oxford University Press, 1999

  • : pbk

大学図書館所蔵 件 / 13

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

In addition to being an introduction to C++, this text also provides clear explanations of the basics of numerical methods, and is unique for its coverage of numerical methods used in scientific and engineering computation. In addition there is a general discussion of some of the basic paradigms for writing good programs and detecting errors. The result is a brief yet comprehensive treatment of the subject.

目次

  • Part 1 Basic Constructs
  • Chapter 1: Introduction
  • 1.1 Computers and Software
  • 1.2 Binary Number and Memory
  • 1.3 Rounding Errors
  • 1.4 Programs
  • Chapter 2: A First C++ Program
  • 2.1 Computation and Assignment
  • 2.2 Variable Types
  • 2.3 Input and Output
  • 2.4 A complete Program
  • 2.5 Errors and Debugging
  • Chapter 3 Decisions
  • 3.1 The if Statement
  • 3.2 Logical Operators
  • 3.3 Nested If and Switch Statements
  • 3.4 Good Programming Practice
  • Chapter 4 Around and Around: iteration
  • 4.1 The for statement
  • 4.2 The while Statement
  • 4.3 An Approximation to ex
  • 4.4 Advanced Loop Control
  • Chapter 5 Functions
  • 5.1 Library Functions
  • 5.2 User-Defined Functions
  • 5.3 More General Functions
  • 5.4 Local vs. Global Variables
  • Chapter 6 Numerical Integration
  • 6.1 Approximate Integration Formulas
  • 6.2 Flow Charts
  • 6.3 An Integration Program
  • 6.4 Discretization Error
  • Chapter 7 Reading and Writing: Input/Output
  • 7.1 Precision
  • 7.2 Spacing
  • 7.3 File Input/Output
  • 7.4 The print () Function
  • Chapter 8 Solution of Nonlinear Equations
  • 8.1 The Bisection Method
  • 8.2 Newton's Method
  • 8.3 Errors and Combined Method
  • Chapter 9 Lots of Values: Arrays
  • 9.1 Array Declarations
  • 9.2 Arrays and Functions
  • Chapter 10 Differential Equations
  • 10.1 The Initial Value Problem
  • m 10.2 Euler's Method
  • 10.3 Systems of Equations
  • Part II Extensions of the Basic Constructs
  • Chapter 11 More on Data Types and Operations
  • 11.1 Other Fundamental Data Types
  • 11.2 Operations
  • 11.3 Characters and Strings
  • 11.4 User-Defined Data Types
  • Chapter 12 Lots More Values: Two-Dimensional Arrays
  • 12.1 Two-Dimensional Arrays
  • 12.2 Arrays and Functions
  • 12.3 Arrays of Strings
  • Chapter 13 Linear Equations
  • 13.1 Least Squares Approximation
  • 13.2 Gaussian Elimination
  • 13.3 Errors
  • 13.4 Efficiency
  • Chapter 14 More on Functions
  • 14.1 Reference versus Value
  • 14.2 Recursive and Inline Functions
  • 14.3 Function Miscellanea
  • 14.4 Libraries of Functions
  • Chapter 15 Pointers
  • 15.1 Pointer Variables
  • 15.2 Pointers and Arrays
  • 15.3 Pointers and Functions
  • 15.4 Pointers and Strings
  • Chapter 16 Dynamic Memory
  • 16.1 Dynamic Memory Allocation
  • 16.2 Matrices and Strings
  • 16.3 Linked Lists
  • Part III Object-Oriented Programming
  • Chapter 17 Classes and Objects
  • 17.1 A Simple Class
  • 17.2 Classes and Functions
  • Chapter 18 Array Classes and Dynamic Memory
  • 18.1 A Vector Class
  • 18.2 Dynamic Memory Allocation
  • 18.3 A Matrix Class
  • Chapter 19 Inheritance
  • 19.1 Derived Classes
  • 19.2 Polymorphism and Virual Functions
  • 19.3 Linear Equations
  • Further Reading
  • Appendix 1 ASCII Character Codes
  • Appendix 2 Library Functions
  • Index

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