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Advances in Applied Mathematics

35 Series Titles


Fuzzy Impulsive Dynamic Equations on Time Scales

Fuzzy Impulsive Dynamic Equations on Time Scales

1st Edition

Forthcoming

By Svetlin Georgiev, Khaled Zennir
November 18, 2025

This book presents the main tools for investigations of the existence and uniqueness of as well as the existence of multiple solutions for initial- and boundary-value problems for fuzzy impulsive dynamic equations on time scales. Time-scale theory is relatively new. The basic theory attempts to ...

Markov Processes

Markov Processes

2nd Edition

Forthcoming

By James R. Kirkwood
October 28, 2025

Markov Processes provides a bridge from an undergraduate probability course to a course in stochastic processes. The text is designed to be understandable to students who have taken an undergraduate probability course without needing an instructor to fill in any gaps. Clear, rigorous, and intuitive...

Advanced Engineering Mathematics with MATLAB®

Advanced Engineering Mathematics with MATLAB®

6th Edition

Forthcoming

By Dean G. Duffy
August 19, 2025

In the five previous editions of Advanced Engineering Mathematics with MATLAB®, the author presented a text firmly grounded in mathematics that engineers and scientists must understand and know how to use. Tapping into decades of teaching at the US Navy Academy and the US Military Academy and ...

Exact Methods for Nonlinear PDEs

Exact Methods for Nonlinear PDEs

1st Edition

Forthcoming

By Andrei D. Polyanin
August 13, 2025

Exact Methods for Nonlinear PDEs describes effective analytical methods for finding exact solutions to nonlinear differential equations of mathematical physics and other partial differential equations and also demonstrates the practical applications of these methods. It covers the methods of ...

General Quantum Variational Calculus

General Quantum Variational Calculus

1st Edition

By Svetlin Georgiev, Khaled Zennir
December 19, 2024

Quantum calculus is the modern name for the investigation of calculus without limits. Quantum calculus, or q-calculus, began with F.H. Jackson in the early twentieth century, but this kind of calculus had already been worked out by renowned mathematicians Euler and Jacobi. Lately, ...

Advances in High-Order Predictive Modeling Methodologies and Illustrative Problems

Advances in High-Order Predictive Modeling: Methodologies and Illustrative Problems

1st Edition

By Dan Gabriel Cacuci
December 11, 2024

Continuing the author’s previous work on modeling, this book presents the most recent advances in high-order predictive modeling. The author begins with the mathematical framework of the 2nd-BERRU-PM methodology, an acronym that designates the “second-order best-estimate with reduced uncertainties ...

Introduction to Financial Mathematics

Introduction to Financial Mathematics

2nd Edition

By Kevin J. Hastings
November 27, 2024

The second edition of this successful and widely recognized textbook again focuses on discrete topics. The author recognizes two distinct paths of study and careers of actuarial science and financial engineering. This text can be very useful as a common core for both. Therefore, there is ...

Decision Analysis through Modeling and Game Theory

Decision Analysis through Modeling and Game Theory

1st Edition

By William P. Fox
November 08, 2024

This unique book presents decision analysis in the context of mathematical modeling and game theory. The author emphasizes and focuses on the model formulation and modeling-building skills required for decision analysis, as well as the technology to support the analysis. The primary objective of ...

Modeling Operations Research and Business Analytics

Modeling Operations Research and Business Analytics

1st Edition

By William P. Fox, Robert E. Burks, Jr.
August 30, 2024

This book provides sample exercises, techniques, and solutions to employ mathematical modeling to solve problems in Operations Research and Business Analytics. Each chapter begins with a scenario and includes exercises built on realistic problems faced by managers and others working in operations ...

Advanced Engineering Mathematics with MATLAB

Advanced Engineering Mathematics with MATLAB

5th Edition

By Dean G. Duffy
August 26, 2024

In the four previous editions the author presented a text firmly grounded in the mathematics that engineers and scientists must understand and know how to use. Tapping into decades of teaching at the US Navy Academy and the US Military Academy and serving for twenty-five years at (NASA) Goddard ...

Advanced Mathematical Modeling with Technology

Advanced Mathematical Modeling with Technology

1st Edition

By William P. Fox, Robert E. Burks
August 26, 2024

Mathematical modeling is both a skill and an art and must be practiced in order to maintain and enhance the ability to use those skills. Though the topics covered in this book are the typical topics of most mathematical modeling courses, this book is best used for individuals or groups who have ...

Boundary Value Problems on Time Scales, Volume I

Boundary Value Problems on Time Scales, Volume I

1st Edition

By Svetlin Georgiev, Khaled Zennir
August 26, 2024

Boundary Value Problems on Time Scales, Volume I is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can ...

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