Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

Books Journals

Synthetic Media, Deepfakes, and Cyber Deception

1st Edition
October 1, 2025
Cameron H. Malin + 2 more
English
Paperback
9 7 8 0 4 4 3 2 3 8 8 7 1
eBook
9 7 8 0 4 4 3 2 3 8 8 8 8

Synthetic Media, Deepfakes, and Cyber Deception: Attacks, Analysis, and Defenses introduces the only analytical Synthetic Media Analysis Framework (SMAF) to help describe cyber threats and help security professionals anticipate and analyze attacks. This framework encompasses seven dimensions: Credibility, Control, Medium, Interactivity, Familiarity, Intended Target, and Evocation. Synthetic media is a broad term that encompasses the artificial manipulation, modification, and production of information, covering a spectrum from audio-video deepfakes to text-based chatbots. Synthetic media provides cyber attackers and scammers with a game-changing advantage over traditional ROSE attacks because they have the potential to convincingly impersonate close associates through text, imagery, voice, and video.This burgeoning threat has yet to be meaningfully addressed through any written treatment on the topic. The book is co-authored by three cyber influence and deception experts who have gained deep knowledge and experience on the topic through diverse, true operational pathways and backgrounds. The diversity and perspectives of the author team makes the content in the book the broadest and deepest treatment of synthetic media attacks available to readers.

Recent Developments in Theory and Applications of Fractional Order Systems

1st Edition
October 1, 2025
Mehmet Yavuz + 2 more
English
Paperback
9 7 8 0 4 4 3 2 3 9 5 2 6
eBook
9 7 8 0 4 4 3 2 3 9 5 3 3

Recent Developments in Theory and Applications of Fractional Order Systems presents a rigorous and thorough analysis of various aspects of Fractional Calculus. The book provides readers with a thorough understanding of fundamental concepts and methods of applied mathematics utilized in a variety of scientific and engineering disciplines. The authors present each computational modeling concept with a definition, methods, theorems, and observations followed by typical application problems and step-by-step solutions. Each topic is covered in detail, followed typically by several meticulously worked out examples and a problem set containing many additional related problems.In addition, the book discusses recent developments and the latest research on Fractional Calculus and its applications, demonstrating important applications in Engineering, Computer Science, Management, Social Science, and the Humanities.

Machine Learning Solutions for Inverse Problems: Part A

1st Edition
Volume 26
October 1, 2025
Andreas Hauptmann + 3 more
English

Machine Learning Solutions for Inverse Problems: Part A, Volume 26 of the series Handbook of Numerical Analysis, highlights new advances in the field, with this new volume presenting interesting chapters. Each chapter is written by an international board of authors.

Statistics in Industry and Government

1st Edition
Volume 53
September 1, 2025
Ravindra Khattree + 2 more
English

Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters. Each chapter is written by an international board of authors.

Methods of Mathematical Modeling

1st Edition
August 1, 2025
Hemen Dutta
English
Paperback
9 7 8 0 4 4 3 1 3 3 1 7 6
eBook
9 7 8 0 4 4 3 1 3 3 1 6 9

Mathematical modelling is an interdisciplinary field that studies the nature of different systems. Methods of Mathematical Modeling: Advances and Applications covers advances in the field of mathematical modelling by incorporating new methods and their applications in a variety of domains. Some of the key modeling advances covered in the book include convergence analysis involving nonlinear integral equations and boundary value problems, Navier-Stokes equations in Sobolev-Gevrey spaces, magneto-hydrodynamics of ternary nanofluids with heat transfer effects, vortex nerve complexes in video frame shape approximation, hybrid scheme for computing hyperbolic conservation laws, procedures to handle wave interactions, solutions to new fractional differential equations, dynamics of Leslie-Gower type predator-prey models, and models for the dynamics of generic crop and water availability. Readers will find a range of new methods, approaches, and techniques, as well as a diversity of applications, which are required for modelling various physical and natural systems. Each chapter has been developed in a self-contained style, allowing readers to independently investigate information in the chapters and apply the modelling examples to their own research and projects in development. Researchers, students, educators, scientists, and practitioners involved in many aspects of modelling will find the book useful.

Numerical Linear Algebra with Applications

2nd Edition
August 1, 2025
William Ford + 1 more
English
Paperback
9 7 8 0 4 4 3 1 3 4 7 6 0
eBook
9 7 8 0 4 4 3 1 3 4 7 7 7

Numerical Linear Algebra with Applications: Using MATLAB and Octave, Second Edition provides practical knowledge on modern computational techniques for the numerical solution of linear algebra problems. The book offers a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions. Useful to readers regardless of background, the text begins with six introductory courses to provide background for those who haven’t taken applied or theoretical linear algebra. This approach offers a thorough explanation of the issues and methods for practical computing using MATLAB as the vehicle for computation.Appropriate for advanced undergraduate and early graduate courses on numerical linear algebra, this useful textbook explores numerous applications to engineering and science.

An Introduction to Discrete Mathematics

1st Edition
June 2, 2025
Vidyadhar Kulkarni
English
Paperback
9 7 8 0 4 4 3 2 4 8 4 8 1
eBook
9 7 8 0 4 4 3 2 4 8 5 0 4

An Introduction to Discrete Mathematics offers an engaging and accessible introduction to discrete mathematics for beginning undergraduate students across a wide range of application areas, from mathematics to statistics, operations research, business, engineering, and the sciences. It provides solid foundation in precise proof writing methods, with early chapters introducing set theory and logic that are followed by deductive and inductive proof techniques, number theory, counting principles, permutations and combinations, probability of events, random variables, graphs, and weighted graphs.The book illustrates fundamental concepts in discrete mathematics with clear and precise definitions that are paired with examples and counter-examples as applied in combinatorics, discrete probability, and graph theory. Chapters include student exercises to enhance learning, and a solutions manual and example questions are available for instructors on a companion website.

Finite Mathematics

1st Edition
May 1, 2025
Andrew McHugh
English
Paperback
9 7 8 0 4 4 3 2 9 0 9 4 7
eBook
9 7 8 0 4 4 3 2 9 0 9 5 4

Finite Mathematics: An Introduction with Applications in Business, Social Sciences, and Music presents core concepts of finite mathematics in a clear, intuitive fashion designed to reinforce understanding. The book begins with finite mathematics foundations, with explanations and exercises on combinatorics, logic, set theory, sequences and series, functions and functional notation, elementary probability, linear programming and systems, and Markov chains. Later chapters explore and explain a range of finite mathematics applications, from game theory to voting, apportionment, finance, graph theory, and the science and physics of music.Written with an accessible, example-based approach, this book engages STEM and non-STEM students alike, preparing them for courses across a range of quantitative fields, social sciences, and the liberal arts. Problem-solving exercises are featured at the conclusion of each subsection, with corresponding answers in the appendix. The book is also accompanied by a solutions manual, sample projects assignments, tests, lecture slides, and datasets on a companion website.

Integral Manifolds for Impulsive Differential Problems with Applications

1st Edition
May 1, 2025
Ivanka Stamova + 1 more
English
Paperback
9 7 8 0 4 4 3 3 0 1 3 4 6
eBook
9 7 8 0 4 4 3 3 0 1 3 5 3

Integral Manifolds for Impulsive Differential Problems with Applications offers readers a comprehensive resource on integral manifolds for different classes of differential equations which will be of prime importance to researchers in applied mathematics, engineering, and physics. The book offers a highly application-oriented approach, reviewing the qualitative properties of integral manifolds which have significant practical applications in emerging areas such as optimal control, biology, mechanics, medicine, biotechnologies, electronics, and economics. For applied scientists, this will be an important introduction to the qualitative theory of impulsive and fractional equations which will be key in their initial steps towards adopting results and methods in their research.

Statistical Modeling and Robust Inference for One-shot Devices

1st Edition
April 8, 2025
Narayanaswamy Balakrishnan + 1 more
English
Paperback
9 7 8 0 4 4 3 1 4 1 5 3 9
eBook
9 7 8 0 4 4 3 1 4 1 5 2 2

The study of one-shot devices such as automobile airbags, fire extinguishers, or antigen tests, is rapidly becoming an important problem in the area of reliability engineering. These devices, which are destroyed or must be rebuilt after use, are a particular case of extreme censoring, which makes the problem of estimating their reliability and lifetime challenging. However, classical statistical and inferential methods do not consider the issue of robustness.Statistical Modeling and Robust Interference for One-shot Devices offers a comprehensive investigation of robust techniques of one-shot devices under accelerated-life tests. With numerous examples and case studies in which the proposed methods are applied, this book includes detailed R codes in selected chapters to help readers implement their own codes and use them in the proposed examples and in their own research on one-shot devicetesting data. Researchers, mathematicians, engineers, and students working on acceleratedlife testing data analysis and robust methodologies will find this to be a welcome resource.

Related subjects

Mathematics and applied mathematics

Statistics and probability

Life Sciences

Physical Sciences & Engineering

Social Sciences & Humanities

Health