Differential calculus and equations

Clifford Algebras continues to be a fast-growing discipline, with ever-increasing applications in many scientific fields.

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.

This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which they require.

The methods considered in the 7th conference on "e;Finite Volumes for Complex Applications"e; (Berlin, June 2014) have properties which offer distinct advantages for a number of applications.

The subject of real analysis dates to the mid-nineteenth century - the days of Riemann and Cauchy and Weierstrass.

A classic treatment of partial differential equations from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems.

This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.

The trajectory of fractional calculus has undergone several periods of intensive development, both in pure and applied sciences.

Lectures: G.

In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces.

From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions.

This newly updated volume of the  Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous non-linear equation Korteweg-de-Vries (KdV) that represents the canonical form of solitons.

This book offers a complete and detailed introduction to the theory of discrete dynamical systems, with special attention to stability of fixed points and periodic orbits.

This best-selling book introduces a broad audience including scientists and engineers working in a variety of fields as well as mathematicians from other subspecialties to one of the most active new areas of applied mathematics and the story of its discovery and development.

This book introduces the reader to the study of Hamiltonian systems, focusing on the stability of autonomous and periodic systems and expanding to topics that are usually not covered by the canonical literature in the field.

The 12th International Conference in Methodologies and Intelligent Systems for Technology Enhanced Learning was hosted by the University of L'Aquila and was held in L'Aquila (Italy) from July 13 to 15, 2022.

The author approaches an old classic problem - the existence of solutions of Navier-Stokes equations.

This book introduces parabolic wave equations, their key methods of numerical solution, and applications in seismology and ocean acoustics.

This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables.

Superb introduction devotes almost half its pages to numerical methods for solving partial differential equations, while the heart of the book focuses on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more.

One of the masters in the differential equations community, the late F.

The electronic Schrodi * nger equation describes the motion of N electrons under Coulomb interaction forces in a eld of clamped nuclei.

Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones.

This book provides a comprehensive yet informal introduction to differentiating and integrating real functions with one variable.

Capturing the state of the art of the interplay between partial differential equations, functional analysis, maximal regularity, and probability theory, this volume was initiated at the Delft conference on the occasion of the retirement of Philippe Clement.

Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods.

Partial Differential Equations: Analytical Methods and Applications covers all the basic topics of a Partial Differential Equations (PDE) course for undergraduate students or a beginners' course for graduate students.

This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory.

The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics.

In recent years there appeared a large number of papers as well as chapters in more general monographs devoted to evolution equations containing small (or large) parameters.

This introductory text presents ordinary differential equations with a modern approach to mathematical modelling in a one semester module of 20-25 lectures.

The theory of difference equations is now enjoying a period of Renaissance.

This publication comprises research papers contributed by the speakers, primarily based on their planned talks at the meeting titled 'Mathematical Physics and Its Interactions,' initially scheduled for the summer of 2021 in Tokyo, Japan.

The textbook presents a rather unique combination of topics in ODEs, examples and presentation style.

This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics.

This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions.

Features a solid foundation of mathematical and computational tools to formulate and solve real-world ODE problems across various fields With a step-by-step approach to solving ordinary differential equations (ODEs), Differential Equation Analysis in Biomedical Science and Engineering: Ordinary Differential Equation Applications with R successfully applies computational techniques for solving real-world ODE problems that are found in a variety of fields, including chemistry, physics, biology, and physiology.

This book could have been entitled "e;Analysis and Geometry.

This book is an attempt to give a systematic presentation of results and meth- ods which concern the fixed point theory of multivalued mappings and some of its applications.

Mathematical Tools for Changing Scale in the Analysis of Physical Systems presents a new systematic approach to changing the spatial scale of the differential equations describing science and engineering problems.

This volume presents current trends in analysis and partial differential equations from researchers in developing countries.

This book collects papers presented at the International Conference on Fractional Differentiation and its Applications (ICFDA), held at the University of Jordan, Amman, Jordan, on 16-18 July 2018.

This textbook, based on the author's classroom-tested lecture course, helps graduate students master the advanced plasma theory needed to unlock results at the forefront of current research.

Mathematical treatment to properties of dynamic materials, material substances whose properties are variable in space and time are examined in this book.

Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type.

This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience.

Fred Almgren exploited the excess method for proving regularity theorems in the calculus of variations.