Mathematical Analysis

This is an introduction to proofs book for the course offering a transition to more advanced mathematics. It contains logic, sets, functions, relations, the construction of rational, real and complex numbers and their properties. It also has a chapter on cardinality and a chapter on counting techniq..

This supplemental text allows instructors and students to add a MatLab content to a complex variables course. This book seeks to create a bridge between functions of a complex variable and MatLab. --..

Relevant to a variety of mathematical models in physics, engineering, and finance, this volume studies Cauchy problems that are not well-posed in the classical sense. It brings together and examines three major approaches to treating such problems: semigroup methods, abstract distribution methods, a..

A rather pretty little book, written in the form of a text but more likely to be read simply for pleasure, in which the author (Professor Emeritus of Mathematics at the U. of Kansas) explores the analog of the theory of functions of a complex variable which comes into being when the complexes are re..

Analysis and Partial Differential Equations..

Analysis and Partial Differential Equations..

This text presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon–delta methods. Readers can fully prove fundam..

The seminal 1989 work of Douglas and Paulsen in the theory of analytic Hilbert modules precipitated a number of major research efforts. This in turn led to some intriguing and valuable results, particularly in the areas of operator theory and functional analysis. With the field now beginning to blos..

Suitable for industrial and applied mathematicians, analysts, and computer scientists, this title integrates two fields - asymptotic analysis and the numerical solution of partial differential equations - in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois...

Integrates two fields generally held to be incompatible, if not downright antithetical, in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois. The topics, of interest to industrial and applied mathematicians, analysts, and computer scientists, include singular per..

Contains papers presented at the International Symposium on Asymptotic and Computational Analysis, held in June 1989 in Winnipeg, Manitoba, sponsored by the Department of Applied Mathematics, University of Manitoba and the Canadian Applied Mathematics Society...

Asymptotics and Special Functions..