How Long to Read Lectures on Contemporary Probability

How Long Does it Take to Read Lectures on Contemporary Probability?

It takes the average reader 1 hour and 54 minutes to read Lectures on Contemporary Probability by Gregory F. Lawler

Assuming a reading speed of 250 words per minute. Learn more

Description

This volume is based on classes in probability for advanced undergraduates held at the IAS/Park City Mathematics Institute. It is derived from both lectures (Chapters 1-10) and computer simulations (Chapters 11-13) that were held during the program. The material is coordinated so that some of the major computer simulations relate to topics covered in the first ten chapters. The goal is to present topics that are accessible to advanced undergraduates, yet are areas of current research in probability. The combination of the lucid yet informal style of the lectures and the hands-on nature of the simulations allows readers to become familiar with some interesting and active areas of probability. The first four chapters discuss random walks and the continuous limit of random walks: Brownian motion. Chapters 5 and 6 consider the fascinating mathematics of card shuffles, including the notions of random walks on a symmetric group and the general idea of random permutations. Chapters 7 and 8 discuss Markov chains, beginning with a standard introduction to the theory. Chapter 8 addresses the recent important application of Markov chains to simulations of random systems on large finite sets: Markov Chain Monte Carlo. Random walks and electrical networks are covered in Chapter 9. Uniform spanning trees, as connected to probability and random walks, are treated in Chapter 10. The final three chapters of the book present simulations. Chapter 11 discusses simulations for random walks. Chapter 12 covers simulation topics such as sampling from continuous distributions, random permutations, and estimating the number of matrices with certain conditions using Markov Chain Monte Carlo. Chapter 13 presents simulations of stochastic differential equations for applications in finance. (The simulations do not require one particular piece of software. They can be done in symbolic computation packages or via programming languages such as $\bold C$.) The volume concludes with a number of problems ranging from routine to very difficult. Of particular note are the problems that are typical of simulation problems given to students by the authors when teaching undergraduate probability.

How long is Lectures on Contemporary Probability?

Lectures on Contemporary Probability by Gregory F. Lawler is 113 pages long, and a total of 28,589 words.

This makes it 38% the length of the average book. It also has 35% more words than the average book.

How Long Does it Take to Read Lectures on Contemporary Probability Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 36 minutes to read Lectures on Contemporary Probability aloud.

What Reading Level is Lectures on Contemporary Probability?

Lectures on Contemporary Probability is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Lectures on Contemporary Probability?

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