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The Fokker-Planck Equation: Methods of Solution and Applications Springer Series in Synergetics, 18 Second Edition 1996
DKK 773
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The Fokker-Planck equation provides a powerful tool with which the effects of fluctuations close to transition points can be adequately treated.
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| Item Weight | 1.5 lbs (680 grams) |
Who Should Buy?
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Graduate Students
Ideal for students studying physics, mathematics, or engineering looking for in-depth knowledge of Fokker-Planck equations applications.
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Researchers
Useful for researchers working on stochastic processes, diffusion processes, or statistical mechanics seeking detailed methodologies.
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Applied Mathematicians
Great for mathematicians specializing in probabilistic systems who need comprehensive problem-solving techniques specific to Fokker-Planck dynamics.
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Casual Readers
Not suitable for casual readers seeking light reading; the material is highly specialized and requires background knowledge.
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Undergraduate Beginners
Unsuitable for undergraduate students without prior knowledge of differential equations or stochastic processes due to complexity.
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General Public
Not recommended for the general public due to technical content that requires significant scientific understanding and expertise.
Product Description
The Fokker-Planck Equation: Methods of Solution and Applications Springer Series in Synergetics, 18 Second Edition 1996
Customer Questions & Answers
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Question:
What is the Fokker-Planck equation and its significance?
Answer: The Fokker-Planck equation is a fundamental equation in statistical physics that describes the time evolution of probability distributions of dynamical systems. It's significant in various fields such as physics, finance, and biology because it models phenomena like diffusion and thermal fluctuations. Understanding this equation is crucial for researchers and practitioners working with stochastic processes, as it helps in predicting the behavior of systems over time. -
Question:
What are the key applications of the Fokker-Planck equation?
Answer: The Fokker-Planck equation has a wide range of applications, including in statistical mechanics, chemical kinetics, and biological systems. For instance, it is used to model the spread of particles in a medium, population dynamics, and even in finance to analyze stock price movements. Each application highlights the versatility of the equation in modeling complex systems across different disciplines. -
Question:
How does the 2nd edition of the book enhance understanding?
Answer: The 2nd edition of this book includes updated methods of solution and applications of the Fokker-Planck equation, expanding on the foundational concepts presented in earlier editions. It provides readers with more comprehensive examples and advanced techniques, making it a valuable resource for both students and professionals. The inclusion of additional case studies helps demonstrate the practical use of the equations in real-world scenarios. -
Question:
Who is the target audience for this book?
Answer: The target audience for 'The Fokker-Planck Equation: Methods of Solution and Applications' primarily includes graduate students, researchers, and professionals involved in applied mathematics, physics, and engineering. It's also suitable for anyone interested in learning about stochastic processes and their applications in various scientific fields. This book serves as both an academic reference and a practical guide. -
Question:
What are the primary methods of solution discussed in the book?
Answer: The book features several primary methods for solving the Fokker-Planck equation, including analytical techniques, numerical simulations, and perturbation methods. Each method is explained in detail, providing insights into its applicability and limitations. This comprehensive approach enables readers to choose the most appropriate technique for their specific challenges in modeling complex systems. -
Question:
Can this book be used for self-study?
Answer: Yes, this book is well-suited for self-study as it includes clear explanations, illustrative examples, and comprehensive problem sets. Readers can learn at their own pace, gaining a deeper understanding of the Fokker-Planck equation and its numerous applications. For those pursuing self-study, the structured layout and practical exercises foster an engaging learning experience. -
Question:
What prerequisites are needed to understand this book?
Answer: To effectively understand the content of this book, a foundational knowledge of differential equations and probability theory is recommended. A background in statistical mechanics or applied mathematics would also be beneficial. These prerequisites will enable readers to grasp the complex concepts and applications discussed throughout the text more easily. -
Question:
Are there any notable case studies included in the book?
Answer: Yes, the book includes notable case studies that illustrate the applications of the Fokker-Planck equation in various disciplines. These case studies help readers connect theoretical concepts to practical scenarios, enhancing comprehension and engagement. They serve as valuable references for understanding how the equation operates in real-world situations, further solidifying its importance across scientific fields. -
Question:
What differentiates this book from other resources on the Fokker-Planck equation?
Answer: This book stands out due to its comprehensive coverage of both theoretical aspects and practical solutions of the Fokker-Planck equation. Unlike many resources that focus on one aspect, this text integrates methods of solution with applications, providing a holistic view that is both accessible and in-depth. Its clear writing style and structured formats make it a preferred choice among readers. -
Question:
Where can I buy The Fokker-Planck Equation: Methods of Solution and Applications Springer Series in Synergetics, 18 2nd ed. 1996 Edition?
Answer: You can buy 'The Fokker-Planck Equation: Methods of Solution and Applications Springer Series in Synergetics, 18 2nd ed. 1996 Edition' from Ubuy. Ubuy offers a streamlined shopping experience with international availability, making it convenient to purchase this book regardless of where you are located in Faroe Islands.
Probability & Statistics Editorial Review
The Fokker-Planck Equation: Methods of Solution and Applications is a comprehensive guide to understanding and applying the Fokker-Planck equation in various scientific fields. This second edition, published in 1996, provides updated information and new methods of solution for this important equation. The book is well-organized and covers a wide range of topics, making it suitable for both beginners and experts in the field. The authors explain the concepts clearly and provide detailed examples to illustrate the applications of the Fokker-Planck equation. Overall, this book is a valuable resource for anyone interested in mathematical modeling and its applications.
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Pros
- Comprehensive guide to understanding the Fokker-Planck equation
- Provides updated information and new methods of solution
- Suitable for both beginners and experts
- Clear explanations and detailed examples
- Valuable resource for mathematical modeling
Product Price History
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Features & Benefits
- Comprehensive insights into the Fokker-Planck equation.
- Explores fluctuations and their role in transitions across various disciplines.
- Superior approach compared to Langevin equations for treating noise-related problems.
- Applicable to fields like laser physics, diffusion, and electrical engineering.
- Written by Hannes Risken, an expert in method development.
- Ideal for readers seeking a foundational understanding and practical applications.