Discrete Chaos, Second Edition: With Applications in Science and Engineering

Elaydi, Saber N.

ISBN 10: 1584880023 / ISBN 13: 9781584880028

Verlag: Chapman and Hall/CRC (edition 1), 1999

Beschreibung

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Bestandsnummer des Verkäufers 1584880023-7-1-13

Bibliografische Details

• Titel: Discrete Chaos, Second Edition: With Applications in Science and Engineering
• Verlag: Chapman and Hall/CRC (edition 1)
• Veröffentlichungsdatum: 1999
• Sprache: Englisch
• ISBN-10: 1584880023
• ISBN-13: 9781584880028
• Bindung: Hardcover
• Ausgabe: 1.
• Zustand: Fair

Über diesen Titel

Inhaltsangabe

While maintaining the lucidity of the first edition, Discrete Chaos, Second Edition: With Applications in Science and Engineering now includes many recent results on global stability, bifurcation, chaos, and fractals. The first five chapters provide the most comprehensive material on discrete dynamical systems, including trace-determinant stability, bifurcation analysis, and the detailed analysis of the center manifold theory. This edition also covers L-systems and the periodic structure of the bulbs in the Mandelbrot set as well as new applications in biology, chemistry, and physics. The principal improvements to this book are the additions of PHASER software on an accompanying downloadable resources and the Maple™ and Mathematica® code available for download online.

Incorporating numerous new topics and technology not found in similar texts, Discrete Chaos, Second Edition presents a thorough, up-to-date treatment of the theory and applications of discrete dynamical systems.

Reseña del editor

Over the last 15 years chaos has virtually exploded over the landscape of mathematics and showered its effects on nearly every scientific discipline. However, despite the large number of texts published on the subject, a need has persisted for a book accessible to readers of varying backgrounds that includes discussion of stability theory and emphasizes real-world applications.

Discrete Chaos fills that need. With only calculus and linear algebra as prerequisites, this book offers a broad range of topics with a depth not often found in texts written at this level. The author presents a thorough exposition of both stability and chaos theories in both one and two dimensions. He offers a highly readable account of fractals and the mathematics behind them, and demonstrates a number of applications from a variety of fields.

This unique treatment of chaos encourages readers to make mathematical discoveries of their own through computer experimentation. The author incorporates the use of Mapleä software throughout the book to aid in the solution of problems. All of the programs used in the book can be easily downloaded from the Internet.

You'll find even the most difficult material in an elementary framework, easily accessible regardless of your background and specialization. With a multitude of exercises to further enhance the learning experience, Discrete Chaos offers the perfect vehicle for beginning the journey into the rich world of chaos.