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Cambridge University Press Cambridge Modern Discrete Probability - Essential Toolkit Book

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Description

Master advanced mathematical concepts with Modern Discrete Probability: An Essential Toolkit from the Cambridge Series in Statistical and Probabilistic Mathematics. This graduate-level text provides a comprehensive introduction to discrete probability and its various applications. It is designed to help students and researchers develop a toolkit of essential techniques for analyzing stochastic processes on graphs, random discrete structures, and algorithms. Each chapter builds upon a fundamental technique, providing clear outlines of common uses. The book demonstrates these methods through simple examples and substantial classical results. Readers will gain expertise in topics such as the first and second moment methods, concentration inequalities, coupling, and stochastic domination. It also covers martingales, potential theory, spectral methods, and branching processes, making it a vital resource for anyone studying advanced discrete mathematics.

Key Features

This Cambridge University Press book provides a graduate-level introduction to discrete probability and its practical applications.

Develop a specialized toolkit for analyzing algorithms, random discrete structures, and stochastic processes on graphs.

Study essential mathematical topics including concentration inequalities, the first and second moment methods, and coupling.

Gain deep technical knowledge in martingales, potential theory, spectral methods, and branching processes.

Each chapter expands on fundamental techniques by using simple examples and substantial classical results to show them in action.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
18 January 2024
Listed Since
22 July 2023

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