Differential Calculus & Equations

This book is an excellent, comprehensive introduction to semiclassical analysis. I believe it will become a standard reference for the subject. --A...

This textbook presents problems and exercises at various levels of difficulty in the following areas: Classical Methods in PDEs (diffusion, waves, ...

This is a graduate text in differentiable dynamical systems. It focuses on structural stability and hyperbolicity, a topic that is central to the f...

This book is based on notes from a beginning graduate course on partial differential equations. Prerequisites for using the book are a solid underg...

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In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and...

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations shows how four types of higher-order nonlinear evolution parti...

Explore Theory and Techniques to Solve Physical, Biological, and Financial Problems Since the first edition was published, there has been a surge o...

The purpose of the volume is to provide a support for a first course in Mathematics. The contents are organised to appeal especially to Engineering...

This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like applied mathematics, ...

This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rig...

The leading scientists who gave these papers under the sponsorship of the Royal Society in early 1987 provide reviews of facets of the subject of c...

Aimed at graduates and researchers, and requiring only a basic knowledge of multi-variable calculus, this introduction to computer-based partial di...

This is the first of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 1...

This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local u...

Using numerical integration, it is possible to predict the individual motions of a group of a few celestial objects interacting with each other gra...

There are a number of intriguing connections between Painlevé equations and orthogonal polynomials, and this book is one of the first to provide an...

This is the second of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume ...

This undergraduate textbook is a rigorous mathematical introduction to dynamical systems and an accessible guide for students transitioning from ca...

This first introductory text to discrete integrable systems introduces key notions of integrability from the vantage point of discrete systems, als...

The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-d...

From the Preface: Srinivasa Varadhan began his research career at the Indian Statistical Institute (ISI), Calcutta, where he started as a graduate ...

This book provides a successful solution to one of the central problems of mathematical fluid mechanics: the Lerays problem on existence of a solu...

This book contains lecture notes of a series of courses on the regularity theory of partial differential equations and variational problems, held i...

This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equation...

Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian ...

Linearization models for discrete and continuous time dynamical systems are the driving forces for modern geometric function theory and composition...

The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit...

This book contains advances on the theory and applications of time-delay systems with particular focus on interconnected systems. The methods for s...

This textbook contains the essential knowledge in modeling, simulation, analysis, and applications in dealing with biological cellular control syst...

The primary goal of the book is to present the ideas and research findings of active researchers from various communities (physicists, economists, ...

The primary goal of the book is to present the ideas and research findings of active researchers from various communities (physicists, economists, ...

This textbook is the first of a two-part set providing a thorough-yet-accessible introduction to the subject of function spaces. In this first volu...

This book stems from the long standing teaching experience of the authors in the courses on Numerical Methods in Engineering and Numerical Methods ...

Kolmogorov equations are a fundamental bridge between the theory of partial differential equations and that of stochastic differential equations th...

Includes nearly 4,000 linear partial differential equations (PDEs) with solutions Presents solutions of numerous problems relevant to heat and mas...

This book presents a systematic analysis of the Monge-Ampere equation, the linearized Monge-Ampere equation, and their applications, with emphasis ...

This book presents a systematic analysis of the Monge-Ampere equation, the linearized Monge-Ampere equation, and their applications, with emphasis ...

Differential equations play a vital role in the fields of engineering and science. Problems in engineering and science can be modeled using ordinar...

This book is devoted to the study of nonlinear evolution and difference equations of first and second order governed by a maximal monotone operator...

This book contains the latest advances in variational analysis and set / vector optimization, including uncertain optimization, optimal control and...

The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most clas...

This book provides a comprehensive set of practical tools for exploring and discovering the world of fractional calculus and its applications, and ...

For introductory courses in Differential Equations. This best-selling text by these well-known authors blends the traditional algebra problem solv...

This is the second paper in a series of papers analyzing angled crested like water waves with surface tension. We consider the 2D capillary gravity...