Calculus & Mathematical Analysis

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

Complex Analysis is the powerful fusion of the complex numbers (involving the 'imaginary' square root of -1) with ordinary calculus, resulting in a...

In the judgment of the most competent living mathematicians, Fraulein Noether was the most significant creative mathematical genius thus far produc...

The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were devel...

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

Data analysis has been a hot topic for a number of years, and many future data scientists have backgrounds that are relatively light in mathematics...

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Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering s...

This book is derived from lecture notes for a course on Fourier analysis for engineering and science students at the advanced undergraduate or begi...

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

Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several ...

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

This text was produced for the second part of a two-part sequence on advanced calculus, whose aim is to provide a firm logical foundation for analy...

We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Sc...

The ICMS Developer's Meeting is an international congress for which the main theme is mathematical software. The 2010 meeting was the third of a se...

The 7th Workshop on Approximation and Online Algorithms (WAOA 2009) focused on the design and analysis of algorithms for online and computati- ally...

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

This book constitutes the refereed proceedings of the 8th International Conference on Integration of AI and OR Techniques in Constraint Programming...

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...

Analysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesima...

Many economic theories depend on the presence or absence of a unit root for their validity, and econometric and statistical theory undergo consider...

Originating from the authors' own graduate course at the University of North Carolina, this material has been thoroughly tried and tested over many...

Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic dynamics, ...

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

From Measures to Itô Integrals gives a clear account of measure theory, leading via L2-theory to Brownian motion, Itô integrals and a brief look at...

A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a com...

The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of class...

The study of complex variables is beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising ...