Calculus & Mathematical Analysis

In recent years, there has been an explosion of interest in network-based modeling in many branches of science. This book synthesizes some of the c...

This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and gra...

Multivariate Analysis Comprehensive Reference Work on Multivariate Analysis and its Applications The first edition of this book, by Mardia, Kent a...

John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance ...

This book features original research articles on the topic of mathematical modelling and fractional differential equations. The contributions, writ...

This volume 6 of the Collected Works comprises 27 papers by V.I.Arnold, one of the most outstanding mathematicians of all times, written in 1991 to...

This book discusses advances in maximal function methods related to Poincaré and Sobolev inequalities, pointwise estimates and approximation for So...

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

This book constitutes the thoroughly refereed post workshop proceedings of the 8th International Workshop on Approximation and Online Algorithms, W...

Representation theory investigates the different ways in which a given algebraic object--such as a group or a Lie algebra--can act on a vector spac...

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...

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 ...