Differential calculus and equations

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

This monograph is a valuable contribution to the highly topical and extremly productive field of regularisation methods for inverse and ill-posed problems.

Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations.

The primary objective of this monograph is to develop an elementary and se- containedapproachtothemathematicaltheoryofaviscousincompressible?

As is well known, The Great Divide (a.

This volume contains invited papers presented at the 15th Dundee Biennial Conference on Numerical Analysis held at the University of Dundee in June of 1993.

Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study.

This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and time-frequency analysis.

This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis.

This volume collects research papers in quantum probability and related fields and reflects the recent developments in quantum probability ranging from the foundations to its applications.

Stochastic differential equations in infinite dimensional spaces are motivated by the theory and analysis of stochastic processes and by applications such as stochastic control, population biology, and turbulence, where the analysis and control of such systems involves investigating their stability.

Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial di?

The Classical Theory of Integral Equations is a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations.

A selection of survey articles and original research papers in mathematical fluid mechanics, for both researchers and graduate students.

This book provides an accessible introduction to the principles and tools for modeling, analyzing, and synthesizing biomolecular systems.

Stochastic instantaneous volatility models such as Heston, SABR or SV-LMM have mostly been developed to control the shape and joint dynamics of the implied volatility surface.

This book presents the reader with comprehensive insight into various kinds of mathematical modeling and numerical computation for problems arising in several branches of engineering, such as mechanical engineering, computer science engineering, electrical engineering, electronics and communication engineering, and civil engineering.

This text presents a comprehensive and unified treatment of nonlinear filtering theory, with a strong emphasis on its mathematical underpinnings.

This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems.

This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon.

This self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities.

The first comprehensive, unified development of the theory of p-adic differential equations.

A rigorous introduction to real analysis for undergraduates.

Now in its third edition, this outstanding textbook explains everything you need to get started using MATLAB®.

As a satellite conference of the 1998 International Mathematical Congress and part of the celebration of the 650th anniversary of Charles University, the Partial Differential Equations Theory and Numerical Solution conference was held in Prague in August, 1998.

Differential equations with random perturbations are the mathematical models of real-world processes that cannot be described via deterministic laws, and their evolution depends on random factors.

This is a proceedings of the international conference "e;Painleve Equations and Related Topics"e; which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011.

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

This monograph is devoted to the development of the theory of pseudo-di?

A Bayesian treatment of the state-of-the-art filtering, smoothing, and parameter estimation algorithms for non-linear state space models.

This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra.

Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century.

A First course in Ordinary Differential Equations provides a detailed introduction to the subject focusing on analytical methods to solve ODEs and theoretical aspects of analyzing them when it is difficult/not possible to find their solutions explicitly.

Elementary Differential Equations, Second Edition is written with the knowledge that there has been a dramatic change in the past century in how solutions to differential equations are calculated.

Self-adaptive discretization methods are now an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications.

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.

Features a balance between theory, proofs, and examples and provides applications across diverse fields of study Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order.

Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics.

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book.

"e;This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology.

In this book, for the first time, a hitherto unknown general solution of the reliably known stress conditions is presented.

This book presents a unified algebraic approach to stabilization problems of linear boundary control systems with no assumption on finite-dimensional approximations to the original systems, such as the existence of the associated Riesz basis.

The Italian school of Mathematical Analysis has long and glo- rious traditions.

There seems to be two types of books on inequalities.

This book analyzes non-democratic legitimacy during the Arab Spring.

The Abel Symposia volume at hand contains a collection of high-quality articles written by the world's leading experts, and addressing all mathematicians interested in advances in deterministic and stochastic dynamical systems, numerical analysis, and control theory.

This proceedings volume collects selected papers presented at the Harmonic Analysis and Applications Workshop held in Abidjan, Cote d'Ivoire from May 22-26, 2023.