Edited by Snezhana Gocheva-Ilieva

Mathematical Methods for Engineering Applications:
ICMASE 2025, Plovdiv, Bulgaria, July 15–17

DETAILS
EXPLANATIONS

This volume contains selected and peer-reviewed contributions presented at the International Conference on Mathematical Methods for Engineering Applications (ICMASE 2025) held in Plovdiv, Bulgaria, from July 15–17, 2025. The conference focuses on the application of advanced mathematical techniques to engineering, technology, and applied sciences.

The book is intended for researchers, graduate students, engineers, and applied mathematicians interested in modern mathematical tools used to solve practical engineering problems. Typical topics in such proceedings include:

As a conference proceedings volume, the book brings together contributions from multiple authors, providing a snapshot of current research directions and emerging applications of mathematics in engineering.

TABLE OF CONTENTS

A complete chapter-by-chapter table of contents does not yet appear to be publicly available in the major bibliographic sources currently indexed. However, based on the conference theme and publisher description, the volume is expected to include papers in areas such as:

At present, only the bibliographic record and publication information have been publicly released; Springer has not yet published a detailed table of contents for the volume.

NOTES

Because this is a conference proceedings volume, the final list of chapters may change slightly before publication. Once Springer releases the official table of contents, a much more detailed chapter listing will become available.

Edited by Saber Elaydi, Laura Gardini, René Lozi, and Davide Radi.

Difference Equations and Discrete Dynamical Systems with Applications:
ICDEA 29, Paris, France, June 24–28, 2024

DETAILS
EXPLANATIONS

This volume contains selected and invited papers from the 29th International Conference on Difference Equations and Applications (ICDEA 29), held in Paris, France, from June 24–28, 2024. It presents recent developments in the theory and applications of difference equations and discrete dynamical systems.

Difference equations are mathematical models that describe phenomena evolving in discrete time. They play a central role in many areas of applied mathematics and are widely used in:

The proceedings provide a snapshot of current research directions and bring together contributions from leading specialists and emerging researchers in the field. The ICDEA conference series, organized by the International Society of Difference Equations (ISDE), has been an important international forum since 1994.

TABLE OF CONTENTS

A complete chapter-by-chapter table of contents has not yet been publicly released in the available bibliographic records. However, according to the publisher descriptions, the volume includes invited and contributed papers covering topics such as:

RESEARCH AREAS COVERED
SIGNIFICANCE

This proceedings volume is particularly useful for researchers and graduate students interested in modern developments in difference equations and discrete dynamical systems. Unlike a textbook, it focuses on current research problems and recent advances, making it a valuable reference for specialists working in nonlinear dynamics and mathematical modeling.


Edited by Dimitrios S. Vlachos (University of the Peloponnese, Greece)

Mathematical Modeling in Physical Sciences:
14th IC-MSQUARE, October 20–23, 2025, Virtual

DETAILS
EXPLANATIONS

This volume contains selected peer-reviewed papers from the 14th International Conference on Mathematical Modeling in Physical Sciences (IC-MSQUARE 2025), held virtually from October 20–23, 2025. The proceedings present recent developments in mathematical modeling across a broad range of scientific disciplines, including physics, chemistry, biology, medicine, economics, environmental science, and engineering.

A major theme of the book is the growing role of artificial intelligence and machine learning in scientific modeling. Contributors explore how modern computational techniques, data-driven methods, and mathematical analysis can be combined to solve complex real-world problems.

The IC-MSQUARE conference series has been held annually since 2012 and serves as an international forum for researchers working at the intersection of mathematics, computation, and the physical sciences. The proceedings are intended for:

TABLE OF CONTENTS

A complete official table of contents for the 2025 proceedings has not yet been publicly released. However, publisher information indicates that the volume covers the following major areas:

Part I – Mathematics and Mathematical Physics

Part II – Machine Learning, Complex Systems and Networks

Part III – Medical Applications and Epidemiological Modeling

Part IV – Engineering Applications

KEY TOPICS COVERED
ABOUT THE EDITOR

Dimitrios S. Vlachos received his Ph.D. in Electrical and Computer Engineering from the National Technical University of Athens. His research interests include discrete variational theory, complex networks, evolutionary algorithms, physical and socioeconomic modeling, and machine-learning applications. He has authored more than 110 scientific publications.

This proceedings volume provides a broad overview of contemporary research in mathematical modeling, particularly emphasizing interdisciplinary applications and the increasing influence of AI-based methodologies in the physical sciences.

Chuchu Chen, Tonghe Dang, Jialin Hong, and Guoting Song.

Numerical Analysis of Stochastic Functional Differential Equations:
Longtime Asymptotics and Probabilistic Characteristics

DETAILS
EXPLANATIONS

This monograph presents recent advances in the numerical analysis of stochastic functional differential equations (SFDEs), a class of differential equations that incorporate both randomness and memory effects. Such equations arise naturally in physics, biology, finance, engineering, and control systems where future evolution depends on both random perturbations and past states.

The book focuses on two major themes:

  1. Longtime Asymptotic Behavior of Numerical Methods
  2. Probabilistic Characteristics of Numerical Solutions

The authors combine techniques from numerical analysis, stochastic differential equations, probability theory, ergodic theory, and Malliavin calculus to provide a rigorous treatment of both theoretical and computational aspects of SFDEs. The book is intended primarily for researchers and graduate students working in stochastic analysis and numerical mathematics.

TABLE OF CONTENTS

Chapter 1. Stochastic Functional Differential Equation

Chapter 2. Mean-square Convergence Analysis in the Infinite Time Horizon

Chapter 3. Invariant Measure and Weak Convergence Analysis in the Infinite Time Horizon

Chapter 4. Numerical Central Limit Theorem

Chapter 5. Numerical Density Function and Convergence Analysis

Chapter 6. Large Deviation Principle of Numerical Solution

Appendix A. Basic Inequalities and Some Tools from Martingale Theory

Appendix B. Markov Semigroups, Invariant Measures, and Ergodicity

Appendix C. Brief Introduction to Malliavin Calculus

Appendix D. Large Deviation Principle via Weak Convergence Approach

KEY TOPICS COVERED

This book is a specialized research-level treatment of the long-term behavior and probabilistic properties of numerical methods for stochastic delay systems, making it particularly valuable for researchers in stochastic analysis, numerical probability, and applied dynamical systems.

Christopher Goodrich

Integrated Calculus:
Single-Variable Differential and Integral Calculus Developed in Parallel

DETAILS
EXPLANATIONS

This textbook presents a distinctive approach to introductory and intermediate calculus by treating differentiation and integration as parallel concepts from the very beginning, rather than introducing them in separate stages as is common in traditional calculus texts.

The author emphasizes:

A major pedagogical goal of the book is to help students understand calculus as a unified subject rather than as a collection of separate topics. Throughout the text, applications motivate theoretical concepts, and a large collection of exercises accommodates students with different backgrounds and levels of preparation.

The book is suitable for:

TABLE OF CONTENTS

Preface

Chapter 1. The Fundamentals

Chapter 2. Extending the Fundamentals

Chapter 3. Qualitative Analysis of the Growth and Decay of Populations

Chapter 4. Differentiation and Antidifferentiation Techniques and Applications

Chapter 5. Differential Equations: Analytical and Numerical Solution Techniques with Applications

Chapter 6. Calculus on Parametrized Curves in the Plane

Chapter 7. Vector-Valued Functions

Chapter 8. Power Series and Their Application

Index

KEY FEATURES
MATHEMATICAL TOPICS COVERED

This book stands out among modern calculus texts because it treats differentiation and integration as complementary processes from the outset and integrates differential equations into the learning process much earlier than most standard calculus curricula.