Calculus & Mathematical Analysis

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. ...