Differential calculus and equations

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.

A comprehensive introduction to preconditioning techniques, now an essential part of successful and efficient iterative solutions of matrices.

This book, first published in 2005, works to answer a wide range of problems involving boundary perturbations in the study of partial differential equations.

Indispensable to all working in systems theory, operator theory, delay equations and partial differential equations.

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

This book, first published in 2003, provides a concise but sound treatment of ODEs, including IVPs, BVPs, and DDEs.

For students taking second courses; the subject is central and required at second year and above.

This book offers a detailed treatment of a class of algebro-geometric solutions and their representations.

This book presents a detailed mathematical analysis of scattering theory, obtains soliton solutions, and analyzes soliton interactions, both scalar and vector.

This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics.

Graduate text on mathematical theory of conservation laws and partial differential equations.

State of the art treatment of the subject with background and references for further reading.

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

A broad introduction, perfect for a one-year graduate course.

A self-contained text for an introductory course, this volume places strong emphasis on physical applications.

Readable and systematic, this volume offers coherent presentations of not only the general theory of linear equations with a single integration, but also of applications to differential equations, the calculus of variations, and special areas in mathematical physics.

Second volume of a highly regarded two-volume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order.

This first volume of a highly regarded two-volume text is fully usable on its own.

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.

This text develops the theory of systems of stochastic differential equations, and it presents applications in probability, partial differential equations, and stochastic control problems.

Many ecological phenomena may be modelled using apparently random processes involving space (and possibly time).

This book focuses on computational methods for large-scale statistical inverse problems and provides an introduction to statistical Bayesian and frequentist methodologies.

Tips, tricks and lots of practice to help students get a handle on these complex calculus problems Pre-calculus classes prepare students for studies in calculus and other advanced Differential equations are essential in physics, economics, engineering, and many other scientific and technical disciplines.

Learn to develop numerical methods for ordinary differential equations General Linear Methods for Ordinary Differential Equations fills a gap in the existing literature by presenting a comprehensive and up-to-date collection of recent advances and developments in the field.

The fun and easy way to understand and solve complex equations Many of the fundamental laws of physics, chemistry, biology, and economics can be formulated as differential equations.

Praise for the First Edition: "e;This book is well conceived and well written.

Game theory is the theory of social situations, and the majority of research into the topic focuses on how groups of people interact by developing formulas and algorithms to identify optimal strategies and to predict the outcome of interactions.

'An Introduction to Integral Transforms' is meant for students pursuing graduate and post graduate studies in Science and Engineering.