Paperback
Available Jan 2003
ISBN: 0-8133-4085-3
Reviews
"This book provides a wonderful introduction to the subjectcI
strongly recommend it to mathematicians (pure, applicable, and
applied), and all scientists seriously wishing to learn about
dynamical systems."
Philip Holmes
Cornell University
Description
The study of nonlinear dynamical systems has exploded in the past
25 years, and Robert L. Devaney has made these advanced research
developments accessible to undergraduate and graduate mathematics
students as well as researchers in other disciplines with the
introduction of this widely praised book. In this second edition
of his best-selling text, Devaney includes new material on the
orbit diagram fro maps of the interval and the Mandelbrot set, as
well as striking color photos illustrating both Julia and
Mandelbrot sets. This book assumes no prior acquaintance with
advanced mathematical topics such as measure theory, topology,
and differential geometry, Assuming only a knowledge of calculus,
Devaney introduces many of the basic concepts of modern dynamical
systems theory and leads the reader to the point of current
research in several areas.
Biography
Robert L. Devaney is formerly chairman of the Department of
Mathematics at Boston University. He received his A.B. from Holy
Cross College and his Ph.D. from the University of California at
Berkeley in 1973. Professor Devaney has taught at Northwestern
University, Tufts University, and the University of Maryland. His
research interests are mainly in dynamical systems, including
complex dynamics, Hamiltonian systems, and experiments in
dynamics.
Number of pages: 360
Trim Size: 61/8X91/4
Paperback
Available Apr 2003
ISBN: 0-7382-0835-3
Reviews
"An engaging romp through the wonderland of numbers. Anyone
who counts will find Clawson's stories about the relationship
humans have to numbers fascinating reading."
John L. Casti
Description
Back in print at last, this classic work by Calvin Clawson
examines the remarkable co-evolution of numbers and human culture.
From the early clay beads and ropes that our ancestors used as
primitive counting tools to the influence of fractals and complex
number systems on chaos theory, The Mathematical Traveler takes
us on a journey over continents and through time to discover how
mathematics has become an integral part of our world. We stop at
ancient Sumeria, China, Greece, Italy, and England, where we
learn about the discovery of our current counting system, the
golden mean, pi, irrational numbers, and other mathematical
innovations. More than just an overview of the history of
numbers, The Mathematical Traveler explores how the understanding
of mathematics helped humanity to create the underpinnings of
art, technology, economics, and science that shaped the world we
live in today.
Biography
Calvin C. Clawson is the author of Mathematical Mysteries,
Mathematical Sorcery, and Conquering Math Phobia. He has
published more than two dozen short stories and won an award from
the National Writers Association for his novel The White Badger.
A teacher of mathematics at Seattle Community College, he lives
south of Issaquah, Washington.
Number of pages: 320
Trim Size: 5-1/2X8-1/4
Paperback
Available Jul 2003
ISBN: 0-8133-4125-6
Hardcover
ISBN: 0-8133-4126-4
Reviews
Praise for the previous edition
"Castrigiano's purely mathematical treatment
contains a
complete proof of the classification theorem
from first
principles, assuming of the reader only a
modest background in
calculus and linear algebra. The exposition
is exceedingly clear
throughout. Highly recommended."
Choice
"Explanations are methodical and clear
and, a particularly
helpful feature for a book at this level,
there are many fully
worked exercises and examples.... Catastrophe
Theory) is alive
and well, absorbed into the culture of dynamical
systems an
bifurcation theory, adapted to particular
needs and problems.
Like prose, you can be speaking it all the
time without realizing.
This book may serve to convey some of the
poetry too."
Society for Industrial and Applied Mathematics
Review
Description
Catastrophe Theory gives a complete and direct
treatment of Rene
Thom's classification theorem for the so-called
seven elementary
catastrophes and their unfoldings. The abundance
of examples and
exercises, including their solutions, enables
the reader to test
his progress. Exercises conclude each chapter.
Number of pages: 224
Trim Size: 6X9
ISBN: 0-13-066949-0
Copyright: 2003
Format: Cloth; 384 pp
Description
For undergraduate courses at the sophomore level in Mathematics,
Computer Science, Business, and Engineering.
This extremely readable text is designed to be easily accessible
to students who need to gain a foundation in the basics of graph
theory. Using extensive examples and exercises, this text takes
the students from basic prerequisite concepts through the
different types of graphs and their uses.
Table of Contents
1. Introductory Concepts.
2. Introduction to Graphs and their Uses.
3. Trees and Bipartite Graphs.
4. Distance and Connectivity.
5. Eularian and Hamiltonian Graphs.
6. Graph Coloring.
7. Matrices.
8. Graph Algorithms.
9. Planar Graphs.
10. Digraphs and Networks.
11. Special Topics.
Answers/Solutions to Selected Exercises.
Index.
ISBN: 0-13-035917-3
Copyright: 2003
Format: Cloth; 336 pp
Description
For a one-semester course in Linear Programming for upper-level
students with varying mathematical backgrounds.
Written to include three different mathematical levels, this text
strikes the necessary balance for a class consisting of students
with varying mathematical backgrounds. It covers the basics of
Linear Programs and also includes an appendix that develops many
advanced topics in mathematical programming for students who plan
to go on to graduate-level study in this field. Many exercises of
varying difficulty provide introductory students the opportunity
to progress through the material at a steady pace, while advanced
students can proceed to the more challenging material.
Table of Contents
Preface.
1. Introduction.
2. Background.
3. Tableaux and Pivoting.
4. Simplex Method.
5. Duality.
6. Transportation Problems.
7. Matrix Games.
8. Linear Approximation.
Appendices.