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Shalit Orr Moshe: The Analyst’s Gambit

The Analyst’s Gambit

A Second Course in Functional Analysis

This text focuses on the parts of stochastic theory that are particularly relevant to applications. It begins with a description of Brownian motion and the associated stochastic calculus, including the relationship to partial differential equations. It then solves stochastic differential equations by a variety of methods. The author also studies in detail the one-dimensional case. The book concludes with a treatment of semigroups and generators, applying the theory of Harris chains to diffusions as well as weak convergence of Markov chains to diffusions.

An Elementary Introduction Emphasizing Applications

Stochastic Calculus

Advanced Topics in Biomaterials

Theory and Applications

Functional Analysis: Theory and Applications

Elements in the Philosophy of Mathematics

"This Element introduces a young field, the 'philosophy of mathematical practice'. We first offer a general characterisation of the approach to the philosophy of mathematics that takes mathematical practice seriously and contrast it with 'mathematical philosophy'. The latter is traced back to Bertrand Russell and the orientation referred to as 'scientific philosophy' that was active between 1850 and 1930. To give a better sense of the field, the Element further contains two examples of topics studied, that of mathematical structuralism and visual thinking in mathematics. These are in part presented from a methodological point of view, focussing on mathematics as an activity and questions related to how mathematics develops. In addition, the Element contains several examples from mathematics, both historical and contemporary, to illustrate and support the philosophical points"--

Introducing the Philosophy of Mathematical Practice

Chapman & Hall/CRC Computational Science

This book is a well-recognized and leading guidebook on High Performance Computing for a broad audience of readers from industry and academia. The new edition is completely reorganized and updated to include the latest research in HPC. A new introductory chapter and a new chapter on accelerated computing have been added to the book to keep pace with recent advances.

Introduction to High Performance Computing for Scientists and Engineers, Second Edition

AQA Level 2 Certificate in Further Mathematics (3rd edition)

This book presents a comprehensive treatment of pricing and hedging soccer betting contracts using the modern techniques of probability, statistics, finance, and portfolio management. It introduces betting in general and then addresses the probabilistic intuition needed in the more complex world of soccer betting. The author presents an innovative perspective by thinking about betting odds in terms of the expected number of goals of both teams. In addition, when the betting market is in play, the book treats betting before the game and during the game separately.

Science of Soccer Statistics

Soccermetrics

Annals of Mathematics Studies

A comprehensive new theory of adelic line bundles on quasi-projective varieties over finitely generated fields This book introduces a comprehensive theory of adelic line bundles on quasi-projective varieties over finitely generated fields, developed in both geometric and arithmetic contexts. In the geometric setting, adelic line bundles are defined as limits of line bundles on projective compactifications under the boundary topology. In the arithmetic setting, they are defined as limits of Hermitian line bundles on projective arithmetic compactifications, also under the boundary topology. After establishing these foundational definitions, the book uses the theory to explore key concepts such as intersection theory, effective sections, volumes, and positivity of adelic line bundles. It also applies these results to study height functions of algebraic points and prove an equidistribution theorem on quasi-projective varieties. This theory has broad applications in the study of numerical, dynamical, and Diophantine properties of moduli spaces, quasi-projective varieties, and varieties over finitely generated fields.

Adelic Line Bundles on Quasi-projective Varieties

The paper entitled 'Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature' by T Ilmanen constructs Brakke's motion from Allen-Cahn equation, which is one of the measure theoretic approaches to motion by mean curvature.This book first proposes a new idea that involves a new equation of the Allen-Cahn type to construct Brakke's motion; secondly explaining how to construct it through Ilmanen's approach as easily as possible.

New Method Of Constructing Brakke's Motion, A

Series On Computers And Operations Research

The comprehensive volume focuses on both research and survey papers presenting results in a broad spectrum of subjects in pure and applied mathematics, such as in approximation theory, optimization and their applications.

Topics within this book include Sobolev spaces, Banach spaces, locally convex spaces, integral operators, Szasz-Mirakyan operators, to name a few.

This useful reference text benefits professionals, academics, graduate students and advanced research scientists in theoretical computer science, computer mathematics and general applied mathematics. Effort was also made for the content to constitute a reference source for researchers in physics and engineering.

Mathematical Analysis, Optimization, Approximation And Applications

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

This book explores the underlying concepts, physics and mathematics of wave scattering and wave field structures and self-consistently introduces a range of topics in scalar acoustics and quantum and vector electromagnetic scattering.

Scattering of Waves

Advances in Computers

Role of Internet of Things and Machine Learning in Smart Healthcare: Volume 137

The Analyst’s Gambit

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