{"product_id":"stochastic-processes-applied-probability-a-first-course-in-modeling-random-systems-volume-1-9798199354479","title":"Stochastic Processes \u0026 Applied Probability: A First Course in Modeling Random Systems Volume 1","description":"\u003cp\u003e • Author(s): Mir Hossain\u003cbr\u003e • Publisher: Independently Published\u003cbr\u003e • Publisher Imprint: Independently Published\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eMaster stochastic processes with clarity, rigor, and real-world insight.\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eStochastic Processes \u0026amp; Applied Probability: A First Course in Modeling Random Systems - Volume 1\u003c\/i\u003e is a carefully structured introduction designed for upper-level undergraduate and early graduate students in mathematics, statistics, engineering, operations research, economics, and data science.\u003c\/p\u003e\u003cp\u003eUnlike many traditional texts that are overly abstract or theorem-heavy, this book emphasizes \u003cb\u003eunderstanding through worked examples, modeling intuition, and step-by-step problem solving\u003c\/b\u003e.\u003c\/p\u003e\u003cp\u003eThis volume develops the mathematical foundation behind systems that evolve under uncertainty - from random walks and queueing systems to Markov chains and Brownian motion.\u003c\/p\u003e\u003cp\u003eInside this book you will learn: \u003c\/p\u003e- Probability refresher and conditioning\u003cbr\u003e- Law of total probability and Bayes' theorem\u003cbr\u003e- Conditional expectation and modeling intuition\u003cbr\u003e- Random walks and gambler's ruin\u003cbr\u003e- Generating functions and branching processes\u003cbr\u003e- Discrete-time Markov chains\u003cbr\u003e- State classification and long-run behavior\u003cbr\u003e- Absorbing chains and first-passage analysis\u003cbr\u003e- The Poisson process\u003cbr\u003e- Continuous-time Markov chains\u003cbr\u003e- Queueing theory and M\/M systems\u003cbr\u003e- Brownian motion and introductory diffusion models\u003cp\u003eThis textbook includes: \u003c\/p\u003e\u003cp\u003e Fully worked examples with clear step-by-step solutions\u003cbr\u003e Progressive difficulty from fundamentals to applications\u003cbr\u003e Diagnostic reviews and mastery checkpoints\u003cbr\u003e Common-trap sections to prevent frequent mistakes\u003cbr\u003e Retention reviews and cumulative practice\u003cbr\u003e Complete problem solutions and answer summaries\u003cbr\u003e Modeling-focused explanations that connect theory with applications\u003c\/p\u003e\u003cp\u003eWhether you are studying stochastic processes for mathematics, engineering, data science, operations research, finance, or self-study, this book provides a practical and rigorous path into one of the most powerful areas of applied mathematics.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eLearn the theory. Understand the models. Apply stochastic thinking with confidence.\u003c\/b\u003e\u003c\/p\u003e","brand":"Independently Published","offers":[{"title":"Paperback","offer_id":47968742277271,"sku":"9798199354479","price":2741.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9798199354479.webp?v=1782919242","url":"https:\/\/atlanticbooks.com\/products\/stochastic-processes-applied-probability-a-first-course-in-modeling-random-systems-volume-1-9798199354479","provider":"Atlantic Books","version":"1.0","type":"link"}