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 ...