Real, Complex & Functional Analysis

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Complex Analysis and Special Functions with Mathematical Software Tools

A. Swaminathan
July 15, 2018

This text emphasizes the special functions that are used in complex analysis. Starting with the algebraic system of complex numbers, it offers an entry-level course on complex analysis of one variable. It presents the study of analytic functions, conformal mapping, analysis of singularities, and...

Elements of Concave Analysis and Applications

Prem K. Kythe
May 15, 2018

Concave analysis deals mainly with concave and quasi-concave functions, although convex and quasi-convex functions are considered because of their mutual inherent relationship. The aim of Elements of Concave Analysis and Applications is to provide a basic and self‐contained introduction to concepts...

Principles of Analysis: Measure, Integration, Functional Analysis, and Applications

Hugo D. Junghenn
April 26, 2018

Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers taking advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. It is also designed so that the reader or instructor may select topics suitable to...

Elementary Introduction to the Lebesgue Integral

Steven G. Krantz
April 18, 2018

It is important and useful to have a text on the Lebesgue theory that is accessible to bright undergraduates.  This is such a text. Going back to the days of Isaac Newton and Gottfried Wilhelm von Leibniz, and even to Newton's teacher Isaac Barrow, the integral has been a mainstay of...

Linear Operators and Their Essential Pseudospectra

Aref Jeribi
April 06, 2018

Linear Operators and Their Essential Pseudospectra provides a comprehensive study of spectral theory of linear operators defined on Banach spaces. The central items of interest in the volume include various essential spectra, but the author also considers some of the generalizations that have been...

An Introduction to Real Analysis

Ravi P. Agarwal, Cristina Flaut, Donal O'Regan
February 22, 2018

This book provides a compact, but thorough, introduction to the subject of Real Analysis. It is intended for a senior undergraduate and for a beginning graduate one-semester course....

Lineability: The Search for Linearity in Mathematics

Richard M. Aron, Luis Bernal-Gonzalez, Daniel M. Pellegrino, Juan B. Seoane Sepulveda
February 13, 2018

Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in...

An Introduction to Integral Transforms

Baidyanath Patra
February 12, 2018

An Introduction to Integral Transforms is meant for students pursuing graduate and post graduate studies in Science and Engineering. It contains discussions on almost all transforms for normal users of the subject. The content of the book is explained from a rudimentary stand point to an advanced...

Applied Functional Analysis

J. Tinsley Oden, Leszek Demkowicz
January 16, 2018

Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science. This well-received textbook starts with a thorough...

CRC Standard Mathematical Tables and Formulas

Daniel Zwillinger
January 11, 2018

Containing more than 6,000 entries, CRC Standard Mathematical Tables and Formulas, 33rd Edition continues to provide essential formulas, tables, figures and detailed descriptions. The newest edition of this popular series also features many diagrams, group tables, and integrals that are not...

Background and Recent Developments of Metric Fixed Point Theory

Dhananjay Gopal, Poom Kumam, Mujahid Abbas
December 20, 2017

This book focusing on Metric fixed point theory is designed to provide an extensive understanding of the topic with the latest updates. It provides a good source of references, open questions and new approaches. While the book is principally addressed to graduate students, it is also intended to be...

A Concrete Introduction to Real Analysis

Robert Carlson
December 06, 2017

The Second Edition offers a major re-organization of the book, with the goal of making it much more competitive as a text for students. The revised edition will be appropriate for a one- or two-semester introductory real analysis course. Like the first edition, the primary audience is the large...