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The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on …

geschrieben von Hiroaki Aikawa (Autor) und Matts Essen (Autor)

This volume consists of a long monographic paper by J. Hoffmann-Jorgensen and a number of shorter research papers and survey articles covering different aspects of functional analysis and its …

geschrieben von Svetozar Kurepa (Herausgeber) und Hrvoje Kraljevic (Herausgeber) und Davor Butkovic (Herausgeber)

The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. Such …

geschrieben von Ernst Hairer (Autor) und Christian Lubich (Autor) und Michel Roche (Autor)

Les méthodes spectrales sont une technique récente d'approximation de la solution d'équations aux dérivées partielles par des polynômes de haut degré. Elles ont un degré de précision infini: l'ordre …

geschrieben von Christine Bernardi (Autor) und Yvon Maday (Autor)

This treatise gives an exposition of the functional analytical approach to quasilinear parabolic evolution equations, developed to a large extent by the author during the last 10 years. This approach …

Part 1 Generators and interpolation: generators of analytic semigroups; interpolation functors. Part 2 Cauchy problems and evolution operators: linear Cauchy problems; parabolic evolution operators; …

geschrieben von Herbert Amann (Autor)

The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract mathematics. The main features are …

geschrieben von P. D. Hislop (Autor) und I. M. Sigal (Autor)

This is the third version of a book on Differential Manifolds; in this latest expansion three chapters have been added on Riemannian and pseudo-Riemannian geometry, and the section on sprays and …

geschrieben von Serge Lang (Autor)

Subjects covered include integration, applications of the integral, parametric equations, polar …

geschrieben von Research & Education Association (Autor) und Rea (Autor) und Staff of Research Education Association (Autor)

Presents an innovative synthesis of methods used to study …

1. Geometric foundations; 2. Lie groups; 3. Representation theory; 4. Jets and contact transformations; 5. Differential invariants; 6. Symmetries of differential equations; 7. Symmetries of …

geschrieben von P. Olver (Autor) und Peter J. Olver (Autor)

What is calculus really for? This book is a highly readable introduction to applications of calculus, from Newton's time to the present day. These often involve questions of dynamics, i.e., of …

Introduction; A brief review of calculus; Ordinary differential equations; Computer solution methods; Elementary oscillations; Planetary motion; Waves and diffusion; The best of all possible worlds?; …

geschrieben von David Acheson (Autor) und D. J. Acheson (Autor)