Differential calculus and equations

This book serves as a concise textbook for students in an advanced undergraduate or first-year graduate course in various disciplines such as applied mathematics, control, and engineering, who want to understand the modern standard of numerical methods of ordinary and delay differential equations.

In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion.

Boundary Element Methods (BEM) play an important role in modern numerical computations in the applied and engineering sciences.

The contributions to this volume are devoted to a discussion of state-of-the-art research and treatment of problems of a wide spectrum of areas in complex analysis ranging from pure to applied and interdisciplinary mathematical research.

This monograph presents a synopsis of fluid dynamics based on the personal scientific experience of the author who has contributed immensely to the field.

This book is addressed to mathematics and physics students who want to develop an interdisciplinary view of mathematics, from the age of Riemann, Poincare and Darboux to basic tools of modern mathematics.

This book provides an introduction to real analysis, a fundamental topic that is an essential requirement in the study of mathematics.

This introduction to the few-body problem progresses from two-body motion and classical planetary dynamics to modern numerical methods.

This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control.

This book contains eleven original and survey scientific research articles arose from presentations given by invited speakers at International Workshop on Image Processing and Inverse Problems, held in Beijing Computational Science Research Center, Beijing, China, April 21-24, 2018.

Keine ausführliche Beschreibung für "Gewöhnliche Differentialgleichungen mit zufälligen Parametern" verfügbar.

This monograph presents a graduate-level treatment of partial differential equations (PDEs) for engineers.

A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems.

This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs).

Integral Transforms and Their Applications, Third Edition covers advanced mathematical methods for many applications in science and engineering.

The calculus has been one ofthe areas of mathematics with a large number of significant applications since its formal development in the seventeenth century.

This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, will conduce and spur further research in this direction.

After recalling essentials of analysis - including functional analysis, convexity, distribution theory and interpolation theory - this book handles two topics in detail: Fourier analysis, with emphasis on positivity and also on some function spaces and multiplier theorems; and one-parameter operator semigroups with emphasis on Feller semigroups and Lp-sub-Markovian semigroups.

This book formulates the kinematical conservation laws (KCL), analyses them and presents their applications to various problems in physics.

This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology.

This concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive mass theorem, and the laws of black hole thermodynamics.

Integrals Related to the Error Function presents a table of integrals related to the error function, including indefinite and improper definite integrals.

New applications, research, and fundamental theories in nonlinear analysis are presented in this book.

This book presents the latest developments in the theory of gradient flows in random walk spaces.

This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of Sao Paulo, Campus Ribeirao Preto, Brazil, on July 17-21, 2023.

Aimed at graduate and postgraduate students and researchers in mathematics and the applied sciences, this book provides an introductory account of scattering phenomena and a guide to the technical requirements for investigating wave scattering problems.

This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions.

This monograph develops an operator viewpoint for functional equations in classical function spaces of analysis, thus filling a void in the mathematical literature.

This textbook highlights the theory of fractional calculus and its wide applications in mechanics and engineering.

This book is devoted to unstable solutions of stochastic differential equations (SDEs).

This volume!

The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology.

This book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complex-analytic manifolds.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations.

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The first part of this book reviews some key topics on multi-variable advanced calculus.

The volume covers most of the topics addressed and discussed during the Workshop INdAM "e;Recent advances in kinetic equations and applications"e;, which took place in Rome (Italy), from November 11th to November 15th, 2019.

Employ the essential and hands-on tools and functions of MATLAB's ordinary differential equation (ODE) and partial differential equation (PDE) packages, which are explained and demonstrated via interactive examples and case studies.

The book collects many techniques that are helpul in obtaining regularity results for solutions of nonlinear systems of partial differential equations.

This Festschrift contains five research surveys and thirty-four shorter contributions by participants of the conference 'Stochastic Partial Differential Equations and Related Fields' hosted by the Faculty of Mathematics at Bielefeld University, October 10-14, 2016.