{"product_id":"a-modern-theory-of-random-variation-9781118166406","title":"A Modern Theory of Random Variation","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eA ground-breaking and practical treatment of probability and stochastic processes\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eA Modern Theory of Random Variation\u003c\/i\u003e is a new and radical re-formulation of the mathematical underpinnings of subjects as diverse as investment, communication engineering, and quantum mechanics. Setting aside the classical theory of probability measure spaces, the book utilizes a mathematically rigorous version of the theory of random variation that bases itself exclusively on finitely additive probability distribution functions.\u003c\/p\u003e \u003cp\u003eIn place of twentieth century Lebesgue integration and measure theory, the author uses the simpler concept of Riemann sums, and the non-absolute Riemann-type integration of Henstock. Readers are supplied with an accessible approach to standard elements of probability theory such as the central limmit theorem and Brownian motion as well as remarkable, new results on Feynman diagrams and stochastic integrals.\u003c\/p\u003e \u003cp\u003eThroughout the book, detailed numeri\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface xi\u003cbr\u003e\u003cbr\u003eSymbols xiii\u003cbr\u003e\u003cbr\u003e1 Prologue 1 \u003c\/p\u003e\u003cp\u003e2 Introduction 37\u003c\/p\u003e \u003cp\u003e3 Infinite-Dimensional Integration 83\u003c\/p\u003e \u003cp\u003e4 Theory of the Integral 111\u003c\/p\u003e \u003cp\u003e5 Random Variability 183\u003c\/p\u003e \u003cp\u003e6 Gaussian Integrals 257\u003c\/p\u003e \u003cp\u003e7 Brownian Motion 305\u003c\/p\u003e \u003cp\u003e8 Stochastic Integration 383\u003c\/p\u003e \u003cp\u003e9 Numerical Calculation 447\u003c\/p\u003e \u003cp\u003eA Epilogue 491\u003cbr\u003e\u003cbr\u003eBibliography 505\u003cbr\u003e\u003cbr\u003eIndex 521\u003cbr\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406838243671,"sku":"9781118166406","price":98.96,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118166406.jpg?v=1730497291","url":"https:\/\/bookcurl.com\/products\/a-modern-theory-of-random-variation-9781118166406","provider":"Book Curl","version":"1.0","type":"link"}