{"product_id":"probability-theory-a-comprehensive-course-paperback","title":"Probability Theory: A Comprehensive Course - Paperback","description":"\u003cp\u003eby \u003cb\u003eAchim Klenke\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis popular textbook, now in a revised and expanded third edition, presents a comprehensive course in modern probability theory.\u003c\/p\u003e\u003cp\u003eProbability plays an increasingly important role not only in mathematics, but also in physics, biology, finance and computer science, helping to understand phenomena such as magnetism, genetic diversity and market volatility, and also to construct efficient algorithms. Starting with the very basics, this textbook covers a wide variety of topics in probability, including many not usually found in introductory books, such as: \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cul\u003e \u003cli\u003elimit theorems for sums of random variables\u003c\/li\u003e \u003cli\u003emartingales\u003c\/li\u003e \u003cli\u003epercolation\u003c\/li\u003e \u003cli\u003eMarkov chains and electrical networks\u003c\/li\u003e \u003cli\u003econstruction of stochastic processes\u003c\/li\u003e \u003cli\u003ePoisson point process and infinite divisibility\u003c\/li\u003e \u003cli\u003elarge deviation principles and statistical physics\u003c\/li\u003e \u003cli\u003eBrownian motion\u003c\/li\u003e \u003cli\u003estochastic integrals and stochastic differential equations.\u003c\/li\u003e \u003c\/ul\u003e The presentation is self-contained and mathematically rigorous, with the material on probability theory interspersed with chapters on measure theory to better illustrate the power of abstract concepts.\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis third edition has been carefully extended and includes new features, such as concise summaries at the end of each section and additional questions to encourage self-reflection, as well as updates to the figures and computer simulations. With a wealth of examples and more than 290 exercises, as well as biographical details of key mathematicians, it will be of use to students and researchers in mathematics, statistics, physics, computer science, economics and biology.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003eThis popular textbook, now in a revised and expanded third edition, presents a comprehensive course in modern probability theory.\u003c\/p\u003e\u003cp\u003eProbability plays an increasingly important role not only in mathematics, but also in physics, biology, finance and computer science, helping to understand phenomena such as magnetism, genetic diversity and market volatility, and also to construct efficient algorithms. Starting with the very basics, this textbook covers a wide variety of topics in probability, including many not usually found in introductory books, such as: \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cul\u003e \u003cli\u003elimit theorems for sums of random variables\u003c\/li\u003e \u003cli\u003emartingales\u003c\/li\u003e \u003cli\u003epercolation\u003c\/li\u003e \u003cli\u003eMarkov chains and electrical networks\u003c\/li\u003e \u003cli\u003econstruction of stochastic processes\u003c\/li\u003e \u003cli\u003ePoisson point process and infinite divisibility\u003c\/li\u003e \u003cli\u003elarge deviation principles and statistical physics\u003c\/li\u003e \u003cli\u003eBrownian motion\u003c\/li\u003e \u003cli\u003estochastic integrals and stochastic differential equations.\u003c\/li\u003e \u003c\/ul\u003e The presentation is self-contained and mathematically rigorous, with the material on probability theory interspersed with chapters on measure theory to better illustrate the power of abstract concepts.\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis third edition has been carefully extended and includes new features, such as concise summaries at the end of each section and additional questions to encourage self-reflection, as well as updates to the figures and computer simulations. With a wealth of examples and more than 290 exercises, as well as biographical details of key mathematicians, it will be of use to students and researchers in mathematics, statistics, physics, computer science, economics and biology.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eAchim Klenke is a professor at the Johannes Gutenberg University in Mainz, Germany. He is known for his work on interacting particle systems, stochastic analysis, and branching processes, in particular for his pioneering work with Leonid Mytnik on infinite rate mutually catalytic branching processes.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 716\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.46 x 9.21 x 6.14 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e October 31, 2020\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":47413351612594,"sku":"9783030564018","price":113.38,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0770\/3891\/1666\/files\/0b7ad917473c176667346b837a868b94.webp?v=1778347702","url":"https:\/\/box.dadyminds.org\/products\/probability-theory-a-comprehensive-course-paperback","provider":"DADYMINDS BOX","version":"1.0","type":"link"}