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  • Foundation of Probability Theory

    This textbook presents measure theory in a concise yet clear manner, providing readers with a solid foundation in the mathematical axiomatic system of probability theory. Unlike elementary probability theory, which deals with random events through specific examples of random trials, Foundations of Probability Theory offers a comprehensive mathematical framework for rigorous descriptions of these ... Read more

    $27.89 USD

  • Harnack Inequalities for Stochastic Partial Differential Equations

    by Feng-Yu Wang ...
    Series series Mathematics and Statistics (R0)
    In this book the author presents a self-contained account of Harnack inequalities and applications for the semigroup of solutions to stochastic partial and delayed differential equations. Since the semigroup refers to Fokker-Planck equations on infinite-dimensional spaces, the Harnack inequalities the author investigates are dimension-free. This is an essentially different point from the above ... Read more

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  • Distribution Dependent Stochastic Differential Equations

    Series Book 5 - World Scientific Series on Probability Theory and Its Applications
    Corresponding to the link of Itô's stochastic differential equations (SDEs) and linear parabolic equations, distribution dependent SDEs (DDSDEs) characterize nonlinear Fokker–Planck equations. This type of SDEs is named after McKean–Vlasov due to the pioneering work of H P McKean (1966), where an expectation dependent SDE is proposed to characterize nonlinear PDEs for Maxwellian gas. Moreover, by ... Read more

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  • Analysis For Diffusion Processes On Riemannian Manifolds

    by Feng-yu Wang ...
    Series Book 18 - Advanced Series On Statistical Science And Applied Probability
    Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula ... Read more

    $49.49 USD

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    Series series Mathematics and Statistics (R0)
    This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of ... Read more

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  • Brownian Motion and Stochastic Calculus

    Series series Mathematics and Statistics (R0)
    This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous ... Read more

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  • Measure, Integral and Probability

    Series series Mathematics and Statistics (R0)
    Measure, Integral and Probability is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student. The ideas are developed at an easy pace in a form that is suitable for self-study, with an emphasis on clear explanations and concrete examples rather than abstract theory. For this second edition, the text has been thoroughly revised and ... Read more

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  • Short-Memory Linear Processes and Econometric Applications

    This book serves as a comprehensive source of asymptotic results for econometric models with deterministic exogenous regressors. Such regressors include linear (more generally, piece-wise polynomial) trends, seasonally oscillating functions, and slowly varying functions including logarithmic trends, as well as some specifications of spatial matrices in the theory of spatial models. The book begins ... Read more

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  • Zeta and q-Zeta Functions and Associated Series and Integrals

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  • Backward Stochastic Differential Equations

    From Linear to Fully Nonlinear Theory

    Series series Mathematics and Statistics (R0)
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  • Introduction to Abstract Algebra

    From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory

    A new approach to abstract algebra that eases student anxieties by building on fundamentals.Introduction to Abstract Algebra presents a breakthrough approach to teaching one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, Benjamin Fine, Anthony M. Gaglione, and Gerhard Rosenberger set a pace that allows beginner-level students to follow the progression ... Read more

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  • Singularly Perturbed Methods for Nonlinear Elliptic Problems

    Series series Cambridge Studies in Advanced Mathematics
    This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local uniqueness of solutions exhibiting concentration property. The authors avoid using sophisticated estimates and explain the main techniques by thoroughly investigating two relatively simple but typical non-compact elliptic problems. Each chapter then ... Read more

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