Numerical Mathematics and Computing
Seventh Edition
Ward Cheney & David Kincaid
Brooks/Cole: Cengage Learning
Book Features
OBJECTIVES:
-
To acquaints students of science and engineering with
the potentialities of using computers for
solving
numerical problems that may arise in their future professions.
-
It gives students an opportunity to hone their skills in
computer programming
and problem solving.
-
To helps students arrive at an understanding of the important
subject of errors
that inevitably arise in scientific computing
as well as learning a variety of methods
for detecting, predicting, and controlling them.
NEW TO THIS EDITION:
-
A new section on
Fourier Series,
which arises in engineering applications, has been added.
-
Some chapters have been combined and the order of others changed.
-
To allows instructors and students to move quickly beyond
background material and spend more time on numerical methods,
the first two chapters have been combined into a single introductory chapter.
-
The Linear Systems chapter
has been moved earlier because it is frequently mentioned
in subsequent discussions.
-
Also, the chapters on
Ordinary Differential Equations have been combined.
- The introductory section on
Lower and Upper Sums in numerical integration
has been removed.
-
In an effort to make the new edition more student friendly,
there are now margin notes, as well as more figures, tables, and examples.
We believe concrete illustrations and visual aids are always helpful.
-
Problems and Computer Problems have been relabeled as
Exercises and
Computer Exercises
to clarify the fact that many of them are intended for
students to use for practicing and learning.
-
All Exercises and Computer Exercises are in double columns
with new exercises added including ones involving applications and
student research projects.
FEATURES:
-
Numerous examples and exercises are solved using either computations by
hand, by using a calculator, or utilizing mathematical software on a computer.
-
Two categories of exercise enhance the text's versatility:
Exercises
and Computer Exercises.
The first category
contains more than 800 exercises in analysis that require
pencil, paper, and possibly a calculator.
The second category includes about 500 exercises that
involve writing a program and running it on a computer.
-
Sample programs and other material supporting the textbook is
available at the textbook Web site
http://www.ma.utexas.edu/CNA/NMC7/
-
There are some Computer Exercises designated as
Student Research Projects,
which stimulate students to go
outside the text for additional information. Such
projects provide opportunities for students to explore topics beyond the
scope of the book and to gain experience in discovering something about recent
research topics.
-
Summaries of key concepts are presented at the end of each section.
- Language-independent
pseudocodes provide an
emphasis on mathematical algorithms rather than
on the computer language used to implement them.
- Computer codes in several programming languages
are available at the textbook Web site.
Numerous solved examples, using either MATLAB, Maple, or Mathematica,
illustrate these powerful software tools
available for numeric, graphical, and symbolic results.
- A wide diversity of topics, including some advanced ones
that play an important role in current scientific computing,
give students a survey of numerical mathematics.
ANCILLARIES:
-
Student Solutions Manual:
Provides complete, worked-out solutions to the
exercises with answers in the back of the book.
-
Instructor Solutions Manual
:
Provides complete, worked-out solutions or answers to most of
the exercises in the text.
This manual is available ONLY to the instructors
who adopt the textbook for their classes!