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A guide to help undergraduate students who have studied some complex analysis and want to explore additional topics in the field. It focuses on discovery, self-driven investigation, and creative problem posing.
Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis
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This invaluable volume is a collection of articles in memory ofJacques-Louis Lions, a leading mathematician and the founder of theContemporary French Applied Mathematics School. The contributions havebeen written by his friends, colleagues and students, including CBardos, A Bensoussan, S S Chern, P G Ciarlet, R Glowinski, Gu Chaohao,B Malgrange, G Marchuk, O Pironneau, W Strauss, R Temam, etc.
Mathematical analysis. --- Numerical analysis. --- Mathematical analysis --- 517.1 Mathematical analysis
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This volume contains contributions on recent results in infinite dimensional harmonic analysis and its applications to probability theory. Some papers deal with purely analytic topics such as Frobenius reciprocity, diffeomorphism groups, equivariant fibrations and Harish-Chandra modules. Several other papers touch upon stochastic processes, in particular Lévy processes. The majority of the contributions emphasize on the algebraic-topological aspects of the theory by choosing configuration spaces, locally compact groups and hypergroups as their basic structures. The volume provides a useful sur
Harmonic analysis --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis
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International ISAAC (International Society for Analysis, its Applications and Computation) Congresses have been held every second year since 1997. The proceedings report on a regular basis on the progresses of the field in recent years, where the most active areas in analysis, its applications and computation are covered. Plenary lectures also highlight recent results. This volume concentrates mainly on partial differential equations, but also includes function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysi
Mathematical analysis --- Numerical analysis --- 517.1 Mathematical analysis
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The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting.
Mathematical analysis --- Mathematical physics --- 517.1 Mathematical analysis
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Provides useful tools in Lie group analysis to solve nonlinear partial differential equations. This work presents many of the important issues in nonlinear wave dynamics and nonlinear fluid mechanics. It also discusses fundamental problems and theories in classic and quantum dynamical systems.
Mathematical analysis --- Nonlinear theories --- 517.1 Mathematical analysis
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This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods. Topics include linear elliptic systems for composite material - the coefficients may jump from domain to domain; Stochastic Analysis - many applied problems involve evolution equations with random terms, leading to the use of stochastic analysis. The proceedings have been selected for coverage in:. Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). CC Proceedings - Engineering & Physic
Mathematical analysis --- Stochastic analysis --- 517.1 Mathematical analysis
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This authoritative volume comprises the plenary lectures and articles by many of the field's leading researchers who were brought together for the fourth time at the congress of the International Society for Analysis, its Applications and Computation (ISAAC).A wide spectrum of topics in modern analysis is covered by the fully refereed contributions, such as complex analysis, nonlinear analysis, inverse problems, wavelets, signals and images. In particular, important areas - not given special emphasis in previous meetings - include special functions and orthogonal polynomials, harmonic analysis
Mathematical analysis --- Mathematics --- Math --- Science --- 517.1 Mathematical analysis
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This book is for you if you are a data scientist or working on any technical or scientific computation projects. The book assumes you have a basic working knowledge of high-level dynamic languages such as MATLAB, R, Python, or Ruby.
Numerical analysis --- Mathematical analysis --- 517.1 Mathematical analysis --- Computer programs.