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

21-30 of 3351 results in All results

Introduction to Mathematics in Physiology, Medicine, and Health Sciences

1st Edition
January 1, 2026
Dhanjoo N. Ghista
English

Introduction to Mathematics in Physiology, Medicine, and Health Sciences provides a quantitative handbook for physiology and biological systems, so researchers, practitioners, and clinicians can have a quantitative foundation, and medicine can incorporate more precise diagnostics. This book’s purpose is to demonstrate how fundamental mathematics can be incorporated into biomedical engineering, physiology, medicine, and health sciences research, application, and clinical practice to make these disciplines more quantitative and computational, and hence more explanatory and informative. The book also provides more quantitative formulation of medical procedures, towards supporting the growing field of precision medicine. The book guides readers though the foundations of mathematics as it is applied to modeling of physiological systems, medicine, biology, and health sciences. Each chapter includes a robust introduction to the mathematical concepts and principles necessary to understand their application to the indicated medical and biological systems, beginning with the fundamental relationships among biological variables in Chapter 2, introduction to basic calculus and rate of change in biomedical variables in Chapter 3, and the principles of linear algebra and vectors applied to medicine in Chapter 4. Chapters 5-7 cover the fundamentals of exponential and logarithmic biomedical functions, maximum and minimum values of a function, and integration applications such as summation, area, and volume. Chapter 8 provides an in-depth look into biomedical applications of Ordinary and Partial Differential Equations, which are important modeling tools for flow and variable systems. Chapter 9 provides extensive coverage of Organ System Analyses, which is the core of the physiological system modeling in the book, with a wide range of applied examples. Chapters 10 and 11 extend the modeling applications to medical devices and signal processing. Each chapter provides in-depth guidance on the mathematical concepts, methodology, and procedures for applying the mathematical formulas and equations to the appropriate biomedical and physiological systems, as well as step-by-step procedures for creating models for a wealth of specific applications.

An Introduction to Stochastic Modeling

5th Edition
January 1, 2026
English

Introduction to Stochastic Modeling, Fifth Edition bridges the gap between basic probability and an intermediate level course in stochastic processes, serving as the foundation for either a one-semester or two-semester course in stochastic processes for students familiar with elementary probability theory and calculus. The objectives are to introduce students to the standard concepts and methods of stochastic modeling, to illustrate the rich diversity of applications of stochastic processes in the applied sciences, and to provide an integrated treatment of theory, applications and practical implementation. A well-regarded resource for many years, the text is an ideal foundation for a one-semester course in stochastic processes for students familiar with elementary probability theory and calculus.

Methods of Mathematical Modeling

1st Edition
December 1, 2025
Hemen Dutta
English

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.

Synthetic Media, Deepfakes, and Cyber Deception

1st Edition
October 1, 2025
Cameron H. Malin + 2 more
English

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.

Numerical Linear Algebra with Applications

2nd Edition
August 1, 2025
David Stapleton
English

Now in its Second Edition, Numerical Linear Algebra with Applications: Using MATLAB provides a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems. Appropriate for advanced undergraduate and early graduate courses on numerical linear algebra, this useful textbook explores numerous applications to engineering and science. Ideal for solving real-world problems, Numerical Linear Algebra with Applications: Using MATLAB 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, and offers a thorough explanation of the issues and methods for practical computing, using MATLAB as the vehicle for computation.

Introduction to Statistical Machine Learning

2nd Edition
August 1, 2025
English

Machine learning allows computers to learn and discern patterns without being programmed. When Statistical techniques and machine learning are combined together, they are a powerful tool for analyzing various kinds of data in many computer science/engineering areas, including image processing, speech processing, natural language processing, robot control, as well as in fundamental sciences such as biology, medicine, astronomy, physics, and materials. Introduction to Statistical Machine Learning, Second Edition provides a general introduction to machine learning that covers a wide range of topics concisely and will help readers bridge the gap between theory and practice. Parts 1 and 2 discuss the fundamental concepts of statistics and probability that are used in describing machine learning algorithms. Part 3 and Part 4 explain the two major approaches of machine learning techniques; generative methods and discriminative methods. While Parts 5 and 6 provide an in-depth look at advanced topics that play essential roles in making machine learning algorithms more useful in practice, including creating full-fledged algorithms in a range of real-world applications drawn from research areas such as image processing, speech processing, natural language processing, robot control, as well as biology, medicine, astronomy, physics, and materials. The algorithms developed in the book include Python program code to provide you with the necessary practical skills needed to accomplish a wide range of data analysis tasks. The Second Edition also includes an all-new Part 6 on on Deep Learning, including chapters on Feedforward Neural Networks, Neural Networks with Image Data, Neural Networks with Sequential Data, learning from limited data, Representation Learning, Deep Generative Modeling, and Multimodal Learning.

Software Engineering with Large Language Models

1st Edition
July 1, 2025
Muhammad Waseem + 4 more
English

Many Software Engineers are interested in using Large Language Models (LLMs) to improve their workflows, but they may not know where to start or what the potential applications of LLMs in Software Engineering may be. Software Engineering with Large Language Models provides you with a comprehensive guide that delves into the exciting world of LLMs and their potential to revolutionize Software Engineering. The authors provide a detailed analysis of how LLMs can be used to improve software development, testing, and maintenance processes, and how they can help streamline the workflow of software engineers. The book includes five major sections: Introduction; LLM Applications in Software Engineering Processes; LLMs in Software Engineering Research; Ethical, Legal and Regulatory Considerations; and Case Studies and Best Practices. The book offers a comprehensive introduction to LLMs, with hands-on examples and exercises, and provides practical guidelines and examples for integrating LLMs-based bots, highlighting the latest trends in the field. From there, the book delves into advanced topics, showcasing cutting-edge research and innovative applications. The authors also provide a strategic perspective on Chatbot adoption, discussing ROI and integration challenges. The authors present real-world examples and strategies for implementing LLMs-based bots in various industries. Furthermore, the book incorporates insights from experts in the field, making it an invaluable resource for anyone interested in the future of Software Engineering.

Finite Mathematics

1st Edition
May 1, 2025
Andrew McHugh
English

"Finite Mathematics: An Introduction with Applications in Business, the 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, "Finite Mathematics" 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 data sets on a companion website.

Integral Manifolds for Impulsive Differential Problems with Applications

1st Edition
May 1, 2025
English

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.

Post-Quantum Cryptography Algorithms and Approaches for IoT and Blockchain Security

1st Edition
Volume 138
April 1, 2025
Kavita Saini + 2 more
English

Post-Quantum Cryptography Algorithms and Approaches for IoT and Blockchain Security, Volume 138 the latest release in the Advances in Computers series, presents detailed coverage of innovations in computer hardware, software, theory, design and applications. Chapters in this new release include Quantum-safe Cryptography Approaches and Algorithms, Quantum Computing : An introduction, BPSK-BRO Framework for avoiding side channel attacks and multiphoton attacks in Quantum Key Distribution, Post-Quantum Cryptography Algorithms and Approaches for IoT and Blockchain Security-Chapter -Delineating the Blockchain Paradigm, Post Quantum Cryptographic approach for IoT Security, and more.Other chapters cover Post-Quantum Lightweight Cryptography Algorithms and Approaches for IoT and Blockchain Security, Quantum-enabled machine learning of Random Forest and Discrete Wavelet Transform for cryptographic technique, Delineating the Blockchain Paradigm, Significance of Post Quantum Cryptosystems in Internet of Medical Things (IoMT, Blockchain-inspired Decentralized Applications and Smart Contracts, and much more.