This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including: * limit theorems for sums of random variables* martingales* percolation* Markov chains and electrical networks* construction of stochastic processes* Poisson point process and infinite divisibility* large deviation principles and statistical physics* Brownian motion* stochastic integral and stochastic differential equations.
Measure, Integral and Probability is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student.
Written as a hybrid between a research monograph and a textbook the first half of this book is concerned with basic concepts for the study of Banach algebras that, in a sense, are not too far from being commutative.
Designed for senior undergraduate and graduate students in mathematics, this textbook offers a comprehensive exploration of measure theory and integration.
In this book, the optimal transportation problem (OT) is described as a variational problem for absolutely continuous stochastic processes with fixed initial and terminal distributions.
This book contains original research papers presented at the International Conference on Mathematical Modelling, Applied Analysis and Computation, held at JECRC University, Jaipur, India, on 6-8 July, 2018.
This second volume continues the study on asymptotic convergence of global solutions of parabolic equations to stationary solutions by utilizing the theory of abstract parabolic evolution equations and the Lojasiewicz-Simon gradient inequality.
This book provides readers with a deep understanding of the use of objective algorithms for integration of constitutive relations (CRs) for Hooke-like hypoelasticity based on the use of corotational stress rates.
This book comprises select peer-reviewed articles submitted for the proceedings of the International Conference on Mathematics and Computing (ICMC 2022), held by the School of Advanced Sciences, Vellore Institute of Technology, Vellore, India, in association with Ramanujan Mathematical Society, India, Cryptology Research Society of India and Society for Electronic Transactions and Security, India, from 6-8 January 2022.
This book organizes and explains, in a systematic and pedagogically effective manner, recent advances in path integral solution techniques with applications in stochastic engineering dynamics.
This book features a thoughtfully curated collection of research contributions spanning regularization theory, integral equations, learning theory, and matrix and operator theory.
This book features a thoughtfully curated collection of research contributions spanning regularization theory, integral equations, learning theory, and matrix and operator theory.
This book delves into the topics of fixed-point theory as applied to block operator matrices within the context of Banach algebras featuring multi-valued inputs.
This book delves into the topics of fixed-point theory as applied to block operator matrices within the context of Banach algebras featuring multi-valued inputs.
El análisis numérico es la rama de la Matemática que estudia los métodos numéricos de resolución de problemas, esto es, los métodos que permiten obtener soluciones, que en general son aproximadas, de problemas matemáticos.
The book compiles works presented at a seminar aiming to attract global experts in differential equations, mathematical modeling, and integration methods.
Allgemeine Maße und das Lebesgue-Integral gehören zu den unverzichtbaren Hilfsmitteln der modernen Analysis, der Funktionalanalysis und der Stochastik.
This book delves into semilinear evolution equations, impulsive differential equations, and integro-differential equations with different types of delay.
In its second installment, Innovative Integrals and Their Applications II explores multidimensional integral identities, unveiling powerful techniques for attacking otherwise intractable integrals, thus demanding ingenuity and novel approaches.
This book presents a curated selection of recent research in functional analysis and fixed-point theory, exploring their applications in interdisciplinary fields.
This book presents a curated selection of recent research in functional analysis and fixed-point theory, exploring their applications in interdisciplinary fields.
This textbook offers an approachable introduction to measure-theoretic probability, illustrating core concepts with examples from statistics and engineering.
This textbook offers an approachable introduction to measure-theoretic probability, illustrating core concepts with examples from statistics and engineering.
This textbook offers a complete one-semester course in probability, covering the essential topics necessary for further study in the areas of probability and statistics.
This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering.
Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals.
Dieses Buch seziert die Art und Weise, wie wir unseren Alltag ausmessen, abwägen und bewerten, um die eigene, ganz persönliche Welt klarer zu sehen und die wertvollen Ressourcen Zeit, Geld und Aufmerksamkeit für ein erfüllteres Lebens einzusetzen.