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5612365
Differential Equations and Dynamical Systems (Texts in Applied Mathematics, 7)
85% of respondents would recommend this to a friend
Nº de artículo:
5612365
USD 69
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What Stands Out
Comprehensive Coverage
This edition offers an extensive treatment of differential equations and dynamical systems, equipping students with both the theoretical foundations and practical applications essential for advanced studies in applied mathematics.
Enhanced Examples
Includes a wealth of worked examples and exercises that clarify complex concepts, enabling learners to apply theories effectively, which distinguishes it from other texts in the series.
Focus on Applications
Emphasizes real-world applications of mathematical theories, helping students understand the relevance of differential equations in various fields, from engineering to biology, thus increasing its value for diverse academic disciplines.
Detalles de producto
- Systematic study of qualitative and geometric theory of nonlinear differential equations and dynamical systems
- Thorough treatment of linear systems at the beginning of the text
- Contains material necessary for a clear understanding of the qualitative behavior of dynamical systems
- New edition includes materials on higher order Melnikov functions and the bifurcation of limit cycles for planar systems of differential equations
- Covers Francoise's algorithm for higher order Melnikov functions and finite codimension bifurcations in bounded quadratic systems
- Provides examples illustrating the proof of the Hartman-Grobman theorem, use of the Poincare map, and the theory of rotated vector fields
| Publisher | Springer |
| Publication date | April 1, 2006 |
| Edition | 3rd |
| Language | English |
| Print length | 571 pages |
| ISBN-10 | 0387951164 |
| ISBN-13 | 978-0387951164 |
| Item Weight | 4.76 pounds (2.16 kg) |
| Dimensions | 6.4 x 1.6 x 9.4 inches (16.3 x 4.1 x 23.9 cm) |
Who Should Buy?
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Graduate Students
Ideal for graduate students focusing on applied mathematics and engineering, providing in-depth theoretical and practical applications of differential equations.
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Research Professionals
Beneficial for researchers in mathematics or engineering fields who require advanced techniques in dynamical systems and differential equations.
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Instructors
A valuable resource for educators teaching undergraduate or graduate courses, featuring comprehensive examples and exercises for classroom use.
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Beginner Learners
Not suitable for beginners, as it assumes prior knowledge of calculus and differential equations without a foundational introduction.
DESCRIPCIÓN DEL PRODUCTO
Differential Equations and Dynamical Systems (Texts in Applied Mathematics, 7)
About This Item
Introducing the Differential Equations and Dynamical Systems Texts in Applied Mathematics, 7 3rd Edition! Dive into the fascinating world of nonlinear differential equations and dynamical systems with this comprehensive textbook. The third edition of this highly acclaimed textbook offers a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Whether you're a student or a professional in the field, this book provides all the necessary material for a clear understanding of the behavior of dynamical systems. The book begins with a thorough treatment of linear systems, setting the foundation for the main topic of the book - the local and global behavior of nonlinear systems and their bifurcations. Examples are used throughout the text to illustrate concepts, and figures are strategically placed to enhance understanding.
A reasonable balance is maintained between detailed proofs and supporting references, ensuring a comprehensive learning experience. What sets this edition apart are the updated materials and new additions. You'll find information on higher order Melnikov functions and the bifurcation of limit cycles, including sections on Francoise's algorithm for higher order Melnikov functions and the finite codimension bifurcations in bounded quadratic systems. These additions further enrich the material and provide a deeper understanding of the subject. Whether you're looking to gain insight into modern aspects of the geometric theory of continuous dynamical systems or seeking a textbook for your mathematics education, this book is highly recommended.
It is also suitable for professionals in other fields who want to explore the intriguing world of nonlinear dynamics. With its comprehensive coverage, this textbook is an invaluable resource for anyone interested in differential equations, dynamical systems, and applied mathematics. Get your copy of the Differential Equations and Dynamical Systems Texts in Applied Mathematics, 7 3rd Edition today and embark on a journey through the captivating world of nonlinear dynamics.
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Differential Equations Editorial Review
Differential Equations and Dynamical Systems (Texts in Applied Mathematics, 7) offers a comprehensive look into the world of ODEs, focusing particularly on global theory and dynamic systems. The text includes various challenging problems that stimulate critical thinking and pushes learners to delve deeply into both linear and nonlinear differential equations. However, some reviews highlight its lack of clear examples and frustrating typos, making it sometimes confusing for students. A notable mention is its proof of the Hartman-Grobman theorem, which adds depth, yet the presentation of theorems could be more precise. With a decent rating, users appreciate the depth but note areas needing improvement.
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ventajas
- Covers a wide range of differential equations topics
- Challenging problems promote critical thinking
- Includes proofs of key theorems
- Useful for advanced mathematics courses
- Deep exploration of linear and nonlinear systems
Contras
- Some typos and lack of clarity in explanations
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