Differential calculus and equations

Complex variables is a precise, elegant, and captivating subject.

Themainobjectiveofthisbookistogiveacollectionofcriteriaavailablein the spectral theory of selfadjoint operators, and to identify the spectrum and its components in the Lebesgue decomposition.

Advanced Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established.

Basic Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established.

This book examines a system of parabolic-elliptic partial differential eq- tions proposed in mathematical biology, statistical mechanics, and chemical kinetics.

Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics.

"e;An exceptionally complete overview.

Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context.

This volume!

Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider range of applications.

The fascinating ?

This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions.

REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced.

Accessible monograph exploring what it means for a set to be ''finite-dimensional'' and applying the abstract theory to attractors.

A comprehensive guide to the whys, hows and whens of the mathematical methods needed for classical fields.

An introduction to the mathematical basis of finite element analysis as applied to vibrating systems.

Can you trust results from modelling and simulation?

This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.

Shows novel and modern ways of solving differential equations using methods from contact and symplectic geometry.

In honour of Noel Baker, a leading exponent of transcendental complex dynamics, this book describes the state of the art in this subject.

Leading experts outline the connections between Weyl''s theorems and current results in dynamical systems, invariant theory and partial differential equations.

This 2006 book details exact solutions to the Navier-Stokes equations for senior undergraduates and graduates or research reference.

A unique introduction to the subject, reflecting different approaches to the integration of differential equations.

This book investigates the asymptotic behaviour of dynamical systems corresponding to parabolic equations.

Provides a careful and accessible exposition of initial boundary value problems for semilinear differential equations.

An introduction to the mathematical basis of finite element analysis as applied to vibrating systems.

This book deals with the Cauchy or initial value problem for linear differential equations.

A careful exposition of the most fundamental questions in the theory of nonlinear Markov processes.

A systematic and comprehensive introduction to ordinary differential equations for engineering students and practitioners.

This highly visual introductory textbook provides a rigorous mathematical foundation for all solution methods and reinforces ties to physical motivation.

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

Moving frames explained in the language of undergraduate calculus, suitable for graduate students.

Presents new algorithms for determining orbits; ideal for graduate students and researchers in applied mathematics, physics, astronomy and aerospace engineering.

An introduction to symmetry analysis for graduate students in science, engineering and applied mathematics.

A fully revised and appended edition of this unique volume, which develops together these two important subjects.

Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.

An extensively updated second edition including new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients.

This book provides probabilists with sufficient background to begin applying PDEs to probability theory and probability theory to PDEs.

This book concerns partial differential equations applied to fluids problems in science and engineering.

Presents concepts of chaotic systems for researchers and graduate students in statistical mechanics and chaos.

This book contains a wealth of inequalities used in linear analysis, explaining in detail how they are used.

This 2007 book discusses the design of reliable numerical methods to retrieve missing information in models of complex systems.

Surveys topics in the theory and applications of dynamical systems subject to random shocks.

Graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations.

A 2007 graduate text on spectral methods with applications in fluid dynamics and engineering.

Account of method of solving soliton equations by the inventor of the method.

A first course in ordinary differential equations for mathematicians, scientists and engineers.

This book surveys statistical and perturbation methods for the solution of the general three body problem.

This text was the first book on the Lévy Laplacian that generalized classical work and could be widely applied.