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Showing posts with label Numerical. Show all posts
Showing posts with label Numerical. Show all posts

Friday, 17 June 2011

Excel for Scientists and Engineers: Numerical Methods : By Solutionsfree.blogspot.com(Free Books and Solutions Manual,Free eBooks,BSCS,BCS,Free Downloadable Books)


Excel for Scientists and Engineers: Numerical Methods


Excel for Scientists and Engineers: Numerical Methods

Product Description

Learn to fully harness the power of Microsoft Excel® to perform scientific and engineering calculations

With this text as your guide, you can significantly enhance Microsoft Excel’s® capabilities to execute the calculations needed to solve a variety of chemical, biochemical, physical, engineering, biological, and medicinal problems. The text begins with two chapters that introduce you to Excel’s Visual Basic for Applications (VBA) programming language, which allows you to expand Excel’s® capabilities, although you can still use the text without learning VBA. Following the author’s step-by-step instructions, here are just a few of the calculations you learn to perform:
  • Use worksheet functions to work with matrices
  • Find roots of equations and solve systems of simultaneous equations
  • Solve ordinary differential equations and partial differential equations
  • Perform linear and non-linear regression
  • Use random numbers and the Monte Carlo method
This text is loaded with examples ranging from very basic to highly sophisticated solutions. More than 100 end-of-chapter problems help you test and put your knowledge to practice solving real-world problems. Answers and explanatory notes for most of the problems are provided in an appendix.
The CD-ROM that accompanies this text provides several useful features:
  • All the spreadsheets, charts, and VBA code needed to perform the examples from the text
  • Solutions to most of the end-of-chapter problems
  • An add-in workbook with more than twenty custom functions
This text does not require any background in programming, so it is suitable for both undergraduate and graduate courses. Moreover, practitioners in science and engineering will find that this guide saves hours of time by enabling them to perform most of their calculations with one familiar spreadsheet package

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Computing for Numerical Methods Using Visual C++: By Solutionsfree.blogspot.com(Free Books and Solutions Manual,Free eBooks,BSCS,BCS,Free Downloadable Books)



Shaharuddin Salleh, Albert Y. Zomaya, Sakhinah A. Bakar
ISBN: 978-0-470-12795-7
Hardcover
448 pages
January 2008
Computing for NumericalMethods Using Visual C++ fills the need for a complete, authoritative book on thevisual solutions to problems in numerical methods using C++. The book takes an interdisciplinary approach to the subject and demonstrates how solving problems in numerical methodsusing C++ is dominant and practical for implementation due to its flexible language format, object-oriented methodology, and support for high numerical precisions.
Chapter 1: Overview of C++.
Language style and organization.
Data types, variables.
Loops and branches.
Array, pointer, function, structure.
Classes and objects.
Inheritance, polymorphism, encapsulation.
Complexity analysis.

Chapter 2: Visual C++ Methods.
MFC library .
Fundamental interface tools.
Text displays.
Graphics and images.
Writing the first program.

Chapter 3: Fundamental Mathematical Tools.
C++ for High-Performance Computing.
Dynamic memory allocation.
Allocation for one-dimensional arrays.
Allocation for higher-dimensional arrays.
Case Study: Matrix multiplication problem.
Matrix elimination problems.
Vector and matrix norms.
Row operations.
Matrix reduction to triangular form.
Computing the determinant of a matrix.
Computing the inverse of a matrix.
Matrix algebra.
Data passing between functions.
Matrix addition and subtraction.
Matrix multiplication.
Matrix inverse.
Putting the pieces together.
Algebra of complex numbers.
Addition and subtraction.
Multiplication.
Conjugate.
Division.
Inverse of a complex number.
Putting the pieces together.
Number Sorting.
Programming Exercises.

Chapter 4: System of Linear Equations.
Systems of Linear Systems.
Existence of Solutions.
Elimination Techniques.
Gauss Elimination Method.
Gauss Elimination with Partial Pivoting.
Gauss-Jordan Method.
LU Factorization Techniques.
Crout Method.
Doolittle Method.
Cholesky Method.
Thomas Algorithm.
Iterative Techniques.
Jacobi Method.
Gauss-Seidel Method.
Visual C++ Solution Interface.
Summary.
Programming Exercises.

Chapter 5: Nonlinear Equations.
Iterative methods: convergence, stability.
Background: existence of solution, MVT, errors, etc..
Bisection method.
False-point position method.
Newton method.
Secant method.
Fixed-point iterative method.
Visual C++ Solution Interface.
Summary.
Programming Exercises.

Chapter 6: Interpolation and Approximation.
Concepts, existence, stability.
Lagrange.
Newton methods: forward, backward.
Stirling method.
Cubic spline interpolation.
Least-square approximation.
Visual C++ Solution Interface.
Summary.
Programming Exercises.

Chapter 7: Differentiation and Integration.
Taylor series.
Newton methods (forward, backward, central).
Trapezium method.
Simpson method.
Simpson 3/8 method.
Gauss quadrature.
Visual C++ Solution Interface.
Summary.
Programming Exercises.

Chapter 8: Eigenvalues and Eigenvectors.

Chapter 9: Ordinary Differential Equations.
Existence, uniqueness, stability, convergence.
IVP: Taylor method.
Euler method.
Runge-Kutta of order 2 method.
Runge-Kutta of order 4 method.
Higher dimensional orders.
Multistep methods: Adams-Bashforth method.
Boundary Value Problems: finite-difference method.
Visual C++ Solution Interface.
Summary.
Programming Exercises.

Chapter 10: Partial Differential Equations.
Existence, uniqueness, stability, convergence.
Elliptic problem: Laplace equation.
Elliptic problem: Poisson equation.
Parabolic problem: heat equation.
Hyperbolic problem: wave equation.
Visual C++ Solution Interface.
Summary.
Programming Exercises.

Chapter 11: Finite Element Methods.
One-dimensional heat problem.
Linear approximation.
Quadratic approximation.
Two-dimensional problem: triangulation method.
Visual C++ Solution Interface.
Summary.
Programming Exercises

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