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Item #:
140796492
Introduction to the Modern Theory of Dynamical Systems (Encyclopedia of Mathematics and its Applications, Series Number 54)
Item #:
140796492
ZAR 1945
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This book provides a self-contained comprehensive exposition of the theory of dynamical systems.
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What Stands Out
Comprehensive Coverage
This revised edition provides an extensive overview of modern dynamical systems, making complex theories accessible for both newcomers and seasoned scholars in mathematics and related fields.
Updated Research
Incorporates the latest advancements and research findings, ensuring readers have up-to-date knowledge on current trends and methodologies in the field of dynamical systems.
Practical Applications
Focuses on real-world applications of dynamical systems, allowing readers to connect theoretical concepts with practical scenarios, enhancing learning and retention of the material.
Product Details
| Publisher | Cambridge University Press |
| Publication date | December 28, 1996 |
| Edition | Revised ed. |
| Language | English |
| Print length | 824 pages |
| ISBN-10 | 0521575575 |
| ISBN-13 | 978-0521575577 |
| Item Weight | 2.56 pounds (1.16 kg) |
| Dimensions | 6.14 x 1.86 x 9.21 inches (15.6 x 4.7 x 23.4 cm) |
| Part of series | Encyclopedia of Mathematics and its Applications |
Who Should Buy?
-
Graduate Students
Ideal for graduate students pursuing advanced studies in dynamical systems, providing a solid theoretical foundation.
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Researchers
Suitable for researchers in mathematics or applied fields seeking in-depth insights into dynamical systems theories and methodologies.
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Educators
Useful for educators looking to incorporate modern dynamical systems concepts into their curriculum or advanced courses.
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Beginner Learners
Not suitable for beginners in mathematics lacking prior knowledge of dynamical systems or related mathematical concepts.
Product Description
Introduction to the Modern Theory of Dynamical Systems (Encyclopedia of Mathematics and its Applications, Series Number 54)
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Differential Equations Editorial Review
**** The "Introduction to the Modern Theory of Dynamical Systems" is a commendable resource that delves into various aspects of dynamical systems, making it a significant reference for both students and researchers in the field. The authors, Katok and Hasselblatt, have crafted a text that is both comprehensive and rigorous, covering essential topics such as ergodic theory, topological dynamics, and Hamiltonian systems. Reviewers laud the book for its clarity and depth, noting the presence of numerous examples that illustrate complex concepts effectively. However, potential readers should note that the book’s prerequisites are quite high, necessitating a strong background in areas such as functional analysis and differential geometry. Many reviewers indicate that the text may be too dense for those new to the subject. It appears more suited for advanced learners who are either revisiting or expanding their knowledge of dynamical systems, rather than complete novices. The book's organization is praised, especially its useful appendix of key mathematical results, although some find the integration of important definitions with examples can be challenging for beginners. In summary, this title shines as a scholarly resource, particularly valuable for its detailed discussions and motivation behind topics. With its depth and clarity, it is undoubtedly a must-have for professionals and students who are prepared to tackle its advanced content. **
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Pros
- Comprehensive coverage of modern dynamical systems.
- Clear writing with many illustrative examples.
- Well-organized structure and useful appendices.
- Insightful discussions of historical notes and motivations behind topics.
Cons
- High prerequisite knowledge required; not suitable for beginners.
Product Price History
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ZAR 1945
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Features & Benefits
- Comprehensive exposition of dynamical systems theory.
- Covers elementary examples for foundational understanding.
- Explores asymptotic properties and theoretical concepts.
- Examines local vs. global analysis of orbit structures.
- In-depth theories on low-dimensional and hyperbolic systems.
- Suitable for students and researchers at all levels.
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