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Catastrophe Theory: Second Edition,Used
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Catastrophe Theory was introduced in the 1960s by the renowned Fields Medal mathematician Rene' Thom as a part of the general theory of local singularities. Since then it has found applications across many areas, including biology, economics, and chemical kinetics. By investigating the phenomena of bifurcation and chaos, Catastrophe Theory proved to be fundamental to the understanding of qualitative dynamics. This fully revised second edition includes two new chapters treating genericity and stability of unfoldings. The results on both these topicswhich reveal the relevance and depth of Catastrophe Theoryhave never before been available in a textbook. The first edition chapters have been revised and now include additional material. Most important is the incorporation of a theorem on the uniqueness of the residual singularity. With more than one hundred worked examples and exercises, the second edition retains the pragmatic approach of the first. The material is selfcontained, and the style is as elementary as possible, assuming only knowledge of calculus and linear algebra at an advanced undergraduate level.
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- Q: What is Catastrophe Theory? A: Catastrophe Theory is a mathematical framework introduced by Rene' Thom in the 1960s that studies how small changes in a system can lead to sudden shifts in behavior, often illustrated through concepts of bifurcation and chaos.
- Q: Who is the author of the book? A: The book 'Catastrophe Theory: Second Edition' is authored by Domencio Castrigiano.
- Q: What are the key topics covered in this second edition? A: The second edition includes two new chapters focusing on the genericity and stability of unfoldings, along with revised first edition chapters that incorporate additional material and a theorem on the uniqueness of the residual singularity.
- Q: Is this book suitable for beginners in mathematics? A: While the book aims for clarity and accessibility, it assumes that readers have knowledge of calculus and linear algebra at an advanced undergraduate level.
- Q: How many pages does the book have? A: The book contains a total of 288 pages.
- Q: What is the binding type of this book? A: The book is available in a paperback binding.
- Q: When was this edition published? A: The second edition of 'Catastrophe Theory' was published on September 5, 2003.
- Q: Does this book include exercises and examples? A: Yes, the second edition includes over one hundred worked examples and exercises to reinforce learning and understanding of the material.
- Q: Is this book appropriate for self-study? A: Yes, the material is presented in a self-contained manner, making it suitable for self-study, especially for those with a foundational understanding of related mathematical concepts.
- Q: What are the practical applications of Catastrophe Theory? A: Catastrophe Theory has applications in various fields such as biology, economics, and chemical kinetics, particularly in understanding complex systems and phenomena.