Title
Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry And Engineering (Studies in Nonlinearity),Used
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This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples and geometric intuition. The theory is developed systematically, starting with firstorder differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory.Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or firstyear graduate level. It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics.
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- Q: What is the page count of this book? A: This book has five hundred twelve pages. It provides a comprehensive understanding of nonlinear dynamics and chaos.
- Q: What is the binding type of this textbook? A: The binding of this textbook is hardcover. This ensures durability and protection for frequent use.
- Q: What are the dimensions of this book? A: The book measures six point four two inches in length, one point two six inches in width, and nine point five inches in height. These dimensions make it portable for study.
- Q: How do I approach studying this textbook? A: To study this textbook, read through the chapters systematically, starting from the basics of differential equations. Engage with exercises and examples for better comprehension.
- Q: Is this book suitable for beginners? A: Yes, this book is designed for newcomers to nonlinear dynamics. It emphasizes analytical methods and concrete examples for ease of understanding.
- Q: What prerequisites are needed for this textbook? A: The prerequisites include multivariable calculus and introductory physics. These subjects provide a necessary foundation for understanding the material.
- Q: How should I store this textbook? A: Store this textbook in a cool, dry place, ideally upright on a bookshelf. Avoid direct sunlight to preserve the cover and pages.
- Q: Can I use this book for self-study? A: Yes, this book is ideal for self-study. It contains explanations and examples that facilitate independent learning.
- Q: What is the recommended care for this textbook? A: Keep this textbook away from moisture and handle it with clean hands. Regularly check for any signs of wear and avoid bending the spine.
- Q: How does this book compare to other nonlinear dynamics textbooks? A: This book emphasizes applications across various sciences, setting it apart from others that may focus solely on theory. It's particularly valuable for interdisciplinary studies.
- Q: Is this book suitable for graduate-level study? A: Yes, it is suitable for first-year graduate students. The content is structured to challenge and engage advanced learners.
- Q: What kind of applications does this textbook cover? A: The textbook covers applications including mechanical vibrations, lasers, and biological rhythms. These examples illustrate the relevance of chaos theory in real-world scenarios.
- Q: What if I encounter a problem with my order? A: If you encounter a problem with your order, contact customer service for assistance. They can help with issues like damaged copies or incorrect shipments.
- Q: Is there a warranty for this book? A: Typically, textbooks do not come with a warranty. However, check the retailer's return policy for any guarantees on your purchase.
- Q: What should I do if my book arrives damaged? A: If your book arrives damaged, reach out to the seller immediately. They will guide you through the return or replacement process.
- Q: How often should I review the material in this textbook? A: Review the material regularly, ideally after each chapter. Frequent revision solidifies understanding and retention of complex concepts.