Differential calculus and equations

Die Analysis ist ein klassisches Thema, aber die Art der Vermittlung wandelt sich: Einerseits wegen der neuen Bachelorstudiengänge, andererseits wegen des geringeren Wissensstands der Studienanfänger.

Das Buch enthält knapp 400 mathematische Übungsaufgaben mit ausführlichen Lösungen aus dem Bereich einer ein- bis zweisemestrigen Mathematik-/Statistik-Vorlesung, wie sie an vielen Technischen Universitäten und Fachhochschulen für Studienanfänger angewandter Fachrichtungen abgehalten wird.

Mathematik ist heute ein wichtiges Hilfsmittel für viele angewandte Wissenschaften wie z.

 This is a book on nonlinear dynamical systems and their bifurcations under parameter variation.

Die vorliegende Neuauflage der Höheren Mathematik mit dem Schwerpunkt Partielle Differen­ tialgleichungen und der Bereitstellung von Hilfsmitteln der Funktionalanalysis stellt die Abrun­ dung unserer Lehrbuchreihe dar.

Dieses Buch befaßt sich mit der mathematischen Analyse von dynamischen Prozes­ sen, deren zeitliche Entwicklung nicht kontinuierlich fließend, sondern in diskreten Zeit­ schritten modelliert wird.

Dieses Buch ist aus Vorlesungen und Übungen entstanden, die ich mehrfach an der Universität Karlsruhe für Mathematiker, Physiker, Ingenieure und Informati­ ker gehalten habe.

This book presents complex analysis of several variables from the point of view of the Cauchy-Riemann equations and integral representations.

Dieses Buch ist aus Vorlesungen und Übungen entstanden, die ich mehrfach an der Universität Karlsruhe für Mathematiker, Physiker, Ingenieure und Informati­ ker gehalten habe.

Das vorliegende Lehrprogrammbuch, das aus einem Darbietungs- und einem Übungsprogramm besteht, gibt eine Einführung in die Differential­ rechnung.

"e;A very simple but instructive problem was treated by Jacob Steiner, the famous representative of geometry at the University of Berlin in the early nineteenth century.

The aim of this book is to put together all the results that are known about the existence of formal, holomorphic and singular solutions of singular non linear partial differential equations.

The following chapters summarize lectures given in March 2001 during the summerschool on Hyperbolic Partial Differential Equations which took place at the Technical University of Hamburg-Harburg in Germany.

This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations V, which was held at the University of Minho, Braga, Portugal, from the 28th to 30th November 2016.

One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions.

The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capillarity parameters are taken outside an exceptional subset of zero measure.

These proceedings provide methods, techniques, different mathematical tools and recent results in the study of formal and analytic solutions to Diff.

This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains.

This book provides a direct and comprehensive introduction to theoretical and numerical concepts in the emerging field of optimal control of partial differential equations (PDEs) under uncertainty.

This book contains the main results of the talks given at the workshop "e;Recent Advances in PDEs: Analysis, Numerics and Control"e;, which took place in Sevilla (Spain) on January 25-27, 2017.

This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations.

The book is intended for all those who are interested in application problems related to dynamical systems.

This book collects many of the presented papers, as plenary presentations, mini-symposia invited presentations, or contributed talks, from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2017.

This monograph presents teaching material in the field of differential equations while addressing applications and topics in electrical and biomedical engineering primarily.

The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry.

This monograph develops the Gaussian functional capacity theory with applications to restricting the Gaussian Campanato/Sobolev/BV space.

This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods.

This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations.

This volume gathers contributions from participants of the Introductory School and the IHP thematic quarter on Numerical Methods for PDE, held in 2016 in Cargese (Corsica) and Paris, providing an opportunity to disseminate the latest results and envisage fresh challenges in traditional and new application fields.

The book presents recent results and new trends in the theory of fluid mechanics.

This book is devoted to the study of positive solutions to indefinite problems.

These are the proceedings of the 24th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Svalbard, Norway in February 2017.