Calculus & Mathematical Analysis

Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give...

This textbook offers a complete one-semester course in probability, covering the essential topics necessary for further study in the areas of proba...

An essential companion to M. Vishiks groundbreaking work in fluid mechanicsThe incompressible Euler equations are a system of partial differential ...

This is a textbook for a course in Honors Analysis (for freshman/sophomore undergraduates) or Real Analysis (for junior/senior undergraduates) or A...

This book offers a comprehensive introduction to modern techniques in the study of free boundary problems of diffusive type. Applications of such m...

This classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiat...

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

The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters o...

What does style mean in mathematics? Style is both how one does something and how one communicates what was done. In this book, the author investig...

This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to adva...

This book contains the proceedings of the 14th International Conference on $p$-adic Functional Analysis, held from June 30-July 5, 2016, at the Uni...

This volume contains the proceedings of the mini-workshop on Topological Complexity and Related Topics, held from February 28-March 5, 2016, at the...

The authors prove the existence and the linear stability of small amplitude time quasi-periodic standing wave solutions (i.e. periodic and even in ...

The authors consider the original strategy proposed by Sudakov for solving the Monge transportation problem with norm cost $|cdot|_{D^*}$$min bigg{...

Linear Algebra and Differential Equations has been written for a one-semester combined linear algebra and differential equations course, yet it con...

Although there is no precise definition of a fractal, it is usually understood to be a set whose smaller parts, when magnified, resemble the whole....

This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and surfaces of pre...

For courses in undergraduate Analysis and Transition to Advanced Mathematics. Analysis with an Introduction to Proof, Fifth Edition helps fill in t...

Appropriate for introductory courses in Differential Equations. This clear, concise fairly easy classic text is particularly well-suited to course...

This book focuses on the applications of various types of fractional-order differential equations. The authors present their latest research result...

At the turn of the twentieth century, the French mathematician Paul Painleve and his students classified second order nonlinear ordinary differenti...

The Mellin transformation is widely used in various problems of pure and applied mathematics, in particular, in the theory of differential and inte...

The physics of extended systems is a topic of great interest for the experimentalist and the theoretician alike. There exists a large literature on...

In this textbook on calculus of one variable, applications to the natural sciences play a central role. Examples from biology, chemistry, and physi...

Divided into two self-contained parts, this textbook is an introduction to modern real analysis. More than 350 exercises and 100 examples are integ...

This book presents a development of the basic facts about harmonic analysis on local fields and the n-dimensional vector spaces over these fields. ...