Differential calculus and equations

Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous Dynamical SystemsA Concise Introduction to Geometric Numerical Integration presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations.

In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study.

Filling a gap in the literature, Delay Differential Evolutions Subjected to Nonlocal Initial Conditions reveals important results on ordinary differential equations (ODEs) and partial differential equations (PDEs).

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.

Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities presents a series of control and filtering approaches for stochastic systems with traditional and emerging engineering-oriented complexities.

The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books.

For courses in Differential Equations and Linear Algebra.

Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering.

For introductory courses in Differential Equations.

Elementary Number Theory, 6th Edition, blends classical theory with modern applications and is notable for its outstanding exercise sets.

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!

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

Straightforward introduction for non-specialists and experts alike.

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

Straightforward introduction for non-specialists and experts alike.

A lucid and self-contained treatment of many key ideas in topological dynamics, achieved by focusing on equivalence relations and automorphisms.

A lucid and self-contained treatment of many key ideas in topological dynamics, achieved by focusing on equivalence relations and automorphisms.

Updates in this second edition include two brand new chapters and an even more comprehensive bibliography.

This book offers a practical presentation of stochastic partial differential equations arising in physical applications and their numerical approximation.

Updates in this second edition include two brand new chapters and an even more comprehensive bibliography.

This book offers a practical presentation of stochastic partial differential equations arising in physical applications and their numerical approximation.

Can you trust results from modelling and simulation?

A thoroughly revised second edition of a textbook for a first course in differential/modern geometry that introduces methods within a historical context.

A thoroughly revised second edition of a textbook for a first course in differential/modern geometry that introduces methods within a historical context.

A complete introduction to partial differential equations, this is a textbook aimed at students of mathematics, physics and engineering.

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

An introduction to hyperbolic PDEs and a class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws.

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

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

Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.

A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.

Presents recent progress in two-dimensional mathematical hydrodynamics, including rigorous results on turbulence in space-periodic fluid flows.

Presents recent progress in two-dimensional mathematical hydrodynamics, including rigorous results on turbulence in space-periodic fluid flows.

An engaging graduate-level introduction that bridges analysis and geometry.

An essentially self-contained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems.

A collection of articles on operator-theoretic methods for boundary-value problems.

An engaging graduate-level introduction that bridges analysis and geometry.

A collection of articles on operator-theoretic methods for boundary-value problems.

A rigorous introduction to real analysis for undergraduates.

Gives graduate students and researchers an introductory overview of partial differential equation analysis of biomedical engineering systems through detailed examples.

The first book devoted to ellipsoidal harmonics presents the state of the art in this fascinating subject.

A rigorous introduction to real analysis for undergraduates.

Guides the reader through the nonlinear Perron–Frobenius theory, introducing them to recent developments and challenging open problems.