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Differential Equations, Dynamical Systems, and an Introduction to Chaos (Pure and Applied Mathematics),Used
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Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition, provides a rigorous yet accessible introduction to differential equations and dynamical systems.The original text by three of the world's leading mathematicians has become the standard textbook for graduate courses in this area. Thirty years in the making, this Second Edition brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra.The book explores the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It presents the simplification of many theorem hypotheses and includes bifurcation theory throughout. It contains many new figures and illustrations; a simplified treatment of linear algebra; detailed discussions of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor; and increased coverage of discrete dynamical systems.This book will be particularly useful to advanced students and practitioners in higher mathematics. Developed by awardwinning researchers and authors Provides a rigorous yet accessible introduction to differential equations and dynamical systems Includes bifurcation theory throughout Contains numerous explorations for students to embark uponNEW IN THIS EDITION New contemporary material and updated applications Revisions throughout the text, including simplification of many theorem hypotheses Many new figures and illustrations Simplified treatment of linear algebra Detailed discussion of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor Increased coverage of discrete dynamical systems
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- Q: How many pages does this book have? A: This book has four hundred thirty-two pages. It provides a comprehensive exploration of differential equations and dynamical systems.
- Q: What is the binding type of this book? A: This book is hardcover. The hardcover binding enhances its durability, making it suitable for frequent use.
- Q: What are the dimensions of this book? A: The book measures six point two six inches in length, one point two six inches in width, and nine point zero two inches in height.
- Q: What level of mathematics is this book suitable for? A: This book is suitable for graduate-level students. It assumes a background in calculus and elementary linear algebra.
- Q: Who is the author of this book? A: The author of this book is Morris W. Hirsch. He is recognized as one of the leading mathematicians in the field.
- Q: How do I approach the exercises in this book? A: You can tackle the exercises by first reading the corresponding chapters thoroughly. This will provide the necessary context and understanding to solve the problems.
- Q: Is this book suitable for self-study? A: Yes, this book is suitable for self-study. Its rigorous yet accessible approach makes it ideal for independent learners.
- Q: What prior knowledge do I need to read this book? A: You should have knowledge of calculus and elementary linear algebra. This foundational knowledge is essential for understanding the material presented.
- Q: What is the best way to keep this book in good condition? A: To keep this book in good condition, store it upright in a cool, dry place and avoid exposing it to direct sunlight.
- Q: Can I highlight or annotate this book? A: Yes, you can highlight or annotate this book. The hardcover allows for easy writing without damaging the pages.
- Q: What if the book arrives damaged? A: If the book arrives damaged, you should contact the seller for a return or replacement. Most retailers have a customer service policy for such issues.
- Q: Is there a warranty for this book? A: Books typically do not come with a warranty. However, check the seller’s return policy for any guarantees on quality.
- Q: Is this book appropriate for undergraduate students? A: This book is primarily targeted at graduate students. Undergraduates may find it challenging without prior advanced coursework.
- Q: How does this book compare to other differential equations textbooks? A: This book is known for its rigorous yet accessible approach, making it a standard choice among graduate courses in comparison to others.
- Q: What topics are covered in this book? A: This book covers differential equations, dynamical systems, bifurcation theory, and chaotic behavior among other advanced mathematical concepts.