Differential calculus and equations

This book deals with a series of topics on the cutting edge of nonlinear science, striking a balance between theory and experiment.

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

An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theoriesIn recent years, there has evolved a symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theories.

This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering.

Including previously unpublished, original research material, this comprehensive book analyses topics of fundamental importance in theoretical fluid mechanics.

Linear nonautonomous equations arise as mathematical models in mechanics, chemistry, and biology.

This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes, which it subsequently analyzes and applies in various scenarios.

The book discusses set-valued differential equations defined in terms of the Hukuhara derivative.

This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications.

This monograph discusses modeling, adaptive discretisation techniques and the numerical solution of fluid structure interaction.

This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016.

This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains.

An extension of different lectures given by the authors, Local Bifurcations, Center Manifolds, and Normal Forms in Infinite Dimensional Dynamical Systems provides the reader with a comprehensive overview of these topics.

Vector Fields with Applications to Thermodynamics and Irreversibility is part of the series "e;Mathematics and Physics for Science and Technology"e;, which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results.

Harmonic maps and the related theory of minimal surfaces are variational problems of long standing in differential geometry.

Study smarter and stay on top of your differential equations course with the bestselling Schaum's Outline-now with the NEW Schaum's app and website!

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.

The book is the first systematical treatment of the theory of finite elements in Archimedean vector lattices and contains the results known on this topic up to the year 2013.

These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski.

This book presents the proceedings of the 24th International Conference on Difference Equations and Applications, which was held at the Technical University in Dresden, Germany, in May 2018, under the auspices of the International Society of Difference Equations (ISDE).

This three-part volume explores theory for construction of rational interpolation functions for continuous patchwork approximation.

In the many physical phenomena ruled by partial differential equations, two extreme fields are currently overcrowded due to recent considerable developments: 1) the field of completely integrable equations, whose recent advances are the inverse spectral transform, the recursion operator, underlying Hamiltonian structures, Lax pairs, etc 2) the field of dynamical systems, often built as models of observed physical phenomena: turbulence, intermittency, Poincare sections, transition to chaos, etc.

This book reports recent mathematical developments in the Programme "e;Analysis, Modeling and Simulation of Multiscale Problems"e;, which started as a German research initiative in 2006.

This book extends classical Hermite-Hadamard type inequalities to the fractional case via establishing fractional integral identities, and discusses Riemann-Liouville and Hadamard integrals, respectively, by various convex functions.

This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth's interior.

This book is a valuable resource for Graduate students and researchers interested in current techniques and methods within the theory of moments in linear positive operators and approximation theory.

This book focuses on the development of approximation-related algorithms and their relevant applications.

This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions.

The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology.

This book provides a coherent, self-contained introduction to central topics of Analytic Partial Differential Equations in the natural geometric setting.

This book leads readers from a basic foundation to an advanced level understanding of dynamical and complex systems.

What is the title of this book intended to signify, what connotations is the adjective "e;Postmodern"e; meant to carry?

§ 1.

This book consists of three volumes.

This volume is a selection of contributions offered by friends, collaborators, past students in memory of Enrico Magenes.

This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002.

Fuchsian reduction is a method for representing solutions of nonlinear PDEs near singularities.

This monograph presents the geoscientific context arising in decorrelative geomagnetic exploration.

This book aims to face particles in flows from many different, but essentially interconnected sides and points of view.

The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories.

Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods.

This book contains select contributions presented at the International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO-2021), held at the Department of Mathematics Sciences, Indian Institute of Technology (BHU) Varanasi, India, from 21-23 December 2021.

This book presents the topological derivative method through selected examples, using a direct approach based on calculus of variations combined with compound asymptotic analysis.

Nonlinear functional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, fl uid and elastic mechanics, physics, chemistry, biology, control theory, optimization, game theory, economics etc.