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Item #:
32598645
Markov Chains: Gibbs Fields, Monte Carlo Simulation and Queues (Texts in Applied Mathematics, 31) Second Edition 2020
Item #:
32598645
SEK 604
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This thoroughly revised and augmented edition makes complex topics accessible to students and researchers across various fields.
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What Stands Out
Comprehensive Coverage
This second edition provides an in-depth exploration of Markov Chains, addressing complex theories and applications across various fields, appealing to students and professionals alike.
Practical Applications
Integrates Gibbs fields and Monte Carlo simulations into the discussion, enabling readers to apply theoretical concepts to real-world problems, enhancing practical understanding.
Updated Insights
Includes recent advancements and updated examples, ensuring that readers are equipped with the latest tools and methodologies in the study of queues and stochastic processes.
Product Details
- This 2nd edition is a thoroughly revised and augmented version of the book with the same title published in 1999. The author begins with the elementary theory of Markov chains and very progressively brings the reader to more advanced topics. He gives a useful review of probability, making the book self-contained, and provides an appendix with detailed proofs of all the prerequisites from calculus, algebra, and number theory. A number of carefully chosen problems of varying difficulty are proposed at the close of each chapter, and the mathematics is slowly and carefully developed, in order to make self-study easier. The book treats the classical topics of Markov chain theory, both in discrete time and continuous time, as well as connected topics such as finite Gibbs fields, nonhomogeneous Markov chains, discrete-time regenerative processes, Monte Carlo simulation, simulated annealing, and queuing theory.The main additions of the 2nd edition are the exact sampling algorithm of Propp and Wilson, the electrical network analogy of symmetric random walks on graphs, mixing times and additional details on the branching process. The structure of the book has been modified in order to smoothly incorporate this new material. Among the features that should improve reader-friendliness, the three main ones are: a shared numbering system for the definitions, theorems and examples; the attribution of titles to the examples and exercises; and the blue highlighting of important terms. The result is an up-to-date textbook on stochastic processes.Students and researchers in operations research and electrical engineering, as well as in physics and biology, will find it very accessible and relevant.
| Publisher | Springer |
| Publication date | May 24, 2020 |
| Edition | Second Edition 2020 |
| Language | English |
| Print length | 573 pages |
| ISBN-10 | 3030459810 |
| ISBN-13 | 978-3030459819 |
| Item Weight | 2.19 pounds (990 grams) |
| Dimensions | 6.14 x 1.25 x 9.21 inches (15.6 x 3.2 x 23.4 cm) |
| Part of series | Texts in Applied Mathematics |
Who Should Buy?
-
Graduate Students
Ideal for graduate students focusing on applied mathematics, providing foundational concepts and advanced techniques in Markov chains.
-
Researchers
Useful for researchers in statistics or operations research looking to implement Monte Carlo simulations and queueing theory.
-
Data Scientists
Data scientists will benefit from its applications in probabilistic modeling and simulation techniques relevant to machine learning.
-
Beginner Learners
Not suited for beginners due to advanced mathematical concepts requiring prior knowledge of probability and statistical theory.
-
Casual Readers
Those seeking light reading or casual insights into mathematics may find this text too technical and dense.
-
Non-Mathematicians
Individuals without a strong mathematical background may struggle with the specialized terminology and complex theories presented.
Product Description
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Customer Questions & Answers
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Question:
What level of mathematics is required to understand this book?
Answer: A basic understanding of calculus, algebra, and number theory is sufficient. -
Question:
Who is the target audience for this book?
Answer: The book is tailored for students and researchers in operations research, electrical engineering, physics, and biology. -
Question:
What are the main new features in this second edition?
Answer: The second edition includes new algorithms, additional details on branching processes, and enhanced structure for better readability.
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Pros
- Clear and comprehensive explanations
- Great examples and exercises
- Helpful for applied mathematics
- Well-structured content
Cons
- Some sections may be too advanced for beginners.
Product Price History
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Features & Benefits
- Thoroughly revised and modernized second edition.
- Covers elementary to advanced topics in Markov chains.
- Includes detailed proofs and a self-contained review of probability.
- Features carefully chosen problems at the end of each chapter.
- New material includes advanced algorithms and applications.
- Ideal for students and researchers in multiple disciplines.