Rostamian R. Programming Projects in C for Students of Engineering, Science, and Mathematics

Pholadelphia: SIAM, 2014. - 291p.Like a pianist who practices from a book of études, readers of Programming Projects in C for Students of Engineering, Science, and Mathematics will learn by doing.
Written as a tutorial on how to think about, organize, and implement programs in scientific computing, this book achieves its goal through an eclectic and wide-ranging collection of projects. Each project presents a problem and an algorithm for solving it, and the reader is guided through implementing the algorithm in C and compiling and testing the results. It is not necessary to carry out the projects in sequential order. The projects contain suggested algorithms and partially completed programs for implementing them to enable the reader to exercise and develop skills in scientific computing; require only a working knowledge of undergraduate multivariable calculus, differential equations, and linear algebra; and are written in platform-independent standard C. The Unix command-line is used to illustrate compilation and execution.
The primary audience of this book is graduate students in mathematics, engineering, and the sciences. The book will also be of interest to advanced undergraduates and working professionals who wish to exercise and hone their skills in programming mathematical algorithms in C. A working knowledge of the C programming language is assumed.A common backgroundFile organization
Streams and the Unix shell
Pointers and arrays
From strings to numbers
MakeProjectsAllocating memory: xmalloc()
Dynamic memory allocation for vectors and matrices: array.h
Reading lines: fetch_line()
Generating random numbers
Storing sparse matrices
Sparse systems: The UMFPACK library
Haar wavelets
Image I/O
Image analysis
Linked lists
The evolution of species;
The Nelder-Mead downhill simplex
Trusses
Finite difference schemes for the heat equation in one dimension
The porous medium equation
Gaussian quadrature
Triangulation with the Triangle library
Integration on triangles
Finite elements
Finite elements: Nonzero boundary data;Barycentric coordinates