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Textbooks in Mathematics


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Elementary Introduction to the Lebesgue Integral

Elementary Introduction to the Lebesgue Integral

Forthcoming

Steven G. Krantz
April 12, 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...

Elementary Differential Equations, Second Edition

Elementary Differential Equations, Second Edition

Forthcoming

Charles Roberts
April 10, 2018

This second edition is a valuable, up-to-date tool for instructors teaching courses about differential equations. It serves as an excellent introductory textbook for undergraduate students majoring in applied mathematics, computer science, various engineering disciplines and other sciences. They...

Ordinary Differential Equations: Applications, Models, and Computing

Ordinary Differential Equations: Applications, Models, and Computing

Forthcoming

Charles Roberts
March 31, 2018

In the traditional curriculum, students rarely study nonlinear differential equations and nonlinear systems due to the difficulty or impossibility of computing explicit solutions manually. Although the theory associated with nonlinear systems is advanced, generating a numerical solution with a...

Mathematical Modeling: Branching Beyond Calculus

Mathematical Modeling: Branching Beyond Calculus

Crista Arangala, Nicolas S. Luke, Karen A. Yokley
February 06, 2018

Mathematical Modeling: Branching Beyond Calculus reveals the versatility of mathematical modeling. The authors present the subject in an attractive manner and flexibley manner. Students will discover that the topic not only focuses on math, but biology, engineering, and both social and physical...

An Introduction to Number Theory with Cryptography, Second Edition

An Introduction to Number Theory with Cryptography, Second Edition

James Kraft, Lawrence Washington
January 31, 2018

Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular and important topic of cryptography, integrating it with traditional topics in number theory. The authors have written the text in an engaging style...

Applied Functional Analysis, Third Edition

Applied Functional Analysis, Third Edition

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...

Elementary Linear Algebra

Elementary Linear Algebra

James R. Kirkwood, Bessie H. Kirkwood
December 26, 2017

Elementary Linear Algebra is written for the first undergraduate course. The book focuses on the importance of linear algebra in many disciplines such as engineering, economics, statistics, and computer science. The text reinforces critical ideas and lessons of traditional topics. More importantly,...

Mathematical Modeling for Business Analytics

Mathematical Modeling for Business Analytics

William P. Fox
December 20, 2017

Mathematical Modeling for Business Analytics is written for decision makers at all levels. This book presents the latest tools and techniques available to help in the decision process. The interpretation and explanation of the results are crucial to understanding the strengths and limitations of...

A Concrete Introduction to Real Analysis, Second Edition

A Concrete Introduction to Real Analysis, Second Edition

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...

Elementary Differential Equations

Elementary Differential Equations

Kenneth Kuttler
November 08, 2017

Elementary Differential Equations presents the standard material in a first course on differential equations, including all standard methods which have been a part of the subject since the time of Newton and the Bernoulli brothers. The emphasis in this book is on theory and methods and differential...

Essentials of Mathematical Thinking

Essentials of Mathematical Thinking

Steven G. Krantz
November 07, 2017

Essentials of Mathematical Thinking addresses the growing need to better comprehend mathematics today. Increasingly, our world is driven by mathematics in all aspects of life. The book is an excellent introduction to the world of mathematics for students not majoring in mathematical studies. The...

Transition to Analysis with Proof

Transition to Analysis with Proof

Steven Krantz
November 06, 2017

Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to lead into a first course on analysis. This combined approach allows instructors to teach a...

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