Real, Complex & Functional Analysis

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Integral Transforms and Their Applications, Third Edition

Integral Transforms and Their Applications, Third Edition

Lokenath Debnath, Dambaru Bhatta

November 07, 2014

Integral Transforms and Their Applications, Third Edition covers advanced mathematical methods for many applications in science and engineering. The book is suitable as a textbook for senior undergraduate and first-year graduate students and as a reference for professionals in mathematics,...

Foundations of Analysis

Foundations of Analysis

Steven G. Krantz

October 20, 2014

Foundations of Analysis covers the basics of real analysis for a one- or two-semester course. In a straightforward and concise way, it helps students understand the key ideas and apply the theorems. The book’s accessible approach will appeal to a wide range of students and instructors. Each...

Convex Analysis

Convex Analysis

Steven G. Krantz

October 20, 2014

Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and...

CounterExamples: From Elementary Calculus to the Beginnings of Analysis

CounterExamples: From Elementary Calculus to the Beginnings of Analysis

Andrei Bourchtein, Ludmila Bourchtein

September 09, 2014

This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, and mathematics students tackle commonly made erroneous conjectures. The book encourages students to think critically and analytically, and helps to...

Set Theoretical Aspects of Real Analysis

Set Theoretical Aspects of Real Analysis

Alexander B. Kharazishvili

August 26, 2014

Set Theoretical Aspects of Real Analysis is built around a number of questions in real analysis and classical measure theory, which are of a set theoretic flavor. Accessible to graduate students, and researchers the beginning of the book presents introductory topics on real analysis and Lebesgue...

Sinusoids: Theory and Technological Applications

Sinusoids: Theory and Technological Applications

Prem K. Kythe

July 08, 2014

A Complete Treatment of Current Research Topics in Fourier Transforms and Sinusoids Sinusoids: Theory and Technological Applications explains how sinusoids and Fourier transforms are used in a variety of application areas, including signal processing, GPS, optics, x-ray crystallography,...

Fixed Point Theory, Variational Analysis, and Optimization

Fixed Point Theory, Variational Analysis, and Optimization

Saleh Abdullah R. Al-Mezel, Falleh Rajallah M. Al-Solamy, Qamrul Hasan Ansari

June 03, 2014

Fixed Point Theory, Variational Analysis, and Optimization not only covers three vital branches of nonlinear analysis—fixed point theory, variational inequalities, and vector optimization—but also explains the connections between them, enabling the study of a general form of variational inequality...

A Basic Course in Real Analysis

A Basic Course in Real Analysis

Ajit Kumar, S. Kumaresan

January 10, 2014

Based on the authors’ combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects of real analysis in a friendly way. The authors offer insights into the way a typical mathematician works observing patterns, conducting experiments by means of...

Improper Riemann Integrals

Improper Riemann Integrals

Ioannis Markos Roussos

December 16, 2013

Improper Riemann Integrals is the first book to collect classical and modern material on the subject for undergraduate students. The book gives students the prerequisites and tools to understand the convergence, principal value, and evaluation of the improper/generalized Riemann integral. It also...

Classification of Lipschitz Mappings

Classification of Lipschitz Mappings

Łukasz Piasecki

December 12, 2013

Classification of Lipschitz Mappings presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its application in many topics of metric fixed point theory. Suitable for readers interested in metric fixed point theory, differential equations, and dynamical...

Mathematics: A Minimal Introduction

Mathematics: A Minimal Introduction

Alexandru Buium

November 14, 2013

Bridging the gap between procedural mathematics that emphasizes calculations and conceptual mathematics that focuses on ideas, Mathematics: A Minimal Introduction presents an undergraduate-level introduction to pure mathematics and basic concepts of logic. The author builds logic and mathematics...

Advanced Calculus: Theory and Practice

Advanced Calculus: Theory and Practice

John Srdjan Petrovic

November 01, 2013

Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical...

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