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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.

BooksJournals

Recent Developments in Theory and Applications of Fractional Order Systems

  • 1st Edition
  • August 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.

Data Science and Interactive Visualization Tools for the Analysis of Qualitative Evidence

  • 1st Edition
  • July 1, 2025
  • Manuel González Canché
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 2 1 9 6 1 - 0
  • eBook
    9 7 8 - 0 - 4 4 3 - 2 1 9 6 0 - 3
Data Science and Interactive Visualization Tools for the Analysis of Qualitative Evidence empowers qualitative and mixed methods researchers in the data science movement by offering no-code, cost-free software access so that they can apply cutting-edge and innovative methods to synthetize qualitative data. The book builds on the idea that qualitative and mixed methods researchers should not have to learn to code to benefit from rigorous open-source, cost-free software that uses artificial intelligence, machine learning, and data visualization tools—just as people do not need to know C++ or TypeScript to benefit from Microsoft Word.The real barrier is the hundreds of R code lines required to apply these concepts to their databases. By removing the coding proficiency hurdle, this book will empower their research endeavors and help them become active members of and contributors to the applied data science community. The book offers a comprehensive explanation of data science and machine learning methodologies, along with access to software application tools to implement these techniques without any coding proficiency. The book addresses the need for innovative tools that enable researchers to tap into the insights that come out of cutting-edge data science tools with absolutely no computer language literacy requirements.

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.

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.

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

  • 1st Edition
  • Volume 138
  • April 1, 2025
  • Kavita Saini + 2 more
  • English
  • Hardback
    9 7 8 - 0 - 3 2 3 - 9 1 4 7 8 - 9
  • eBook
    9 7 8 - 0 - 3 2 3 - 9 1 4 7 9 - 6
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.

Statistical Modeling and Robust Inference for One-shot Devices

  • 1st Edition
  • April 1, 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.

Mathematical Modeling in Bioscience

  • 1st Edition
  • April 1, 2025
  • Hemen Dutta
  • English
  • Paperback
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  • eBook
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Mathematical Modeling in Bioscience: Theory and Applications provides readers with tools and techniques for mathematical modeling in bioscience through a wide range of novel and intriguing topics. The book concentrates on larger elements of mathematical modeling in bioscience, including topics such as modeling of the Topp--Leone new power generalized Weibull-G distribution family, vector-borne disease modeling, transmission modeling of SARS-COV-2 among other infectious diseases, pattern formulation models, compartmental models for HIV/AIDS transmission, population models, irrigation scheduling models, and predator--prey models. The readers will discover a variety of new methods, approaches, and techniques, as well as a wide range of applications demonstrating key concepts in bioscience modeling. This book provides a leading-edge resource for researchers in a variety of scientific fields who are interested in mathematical modeling, including mathematics, statistics, biology, biomedical engineering, computer science, and applied sciences.

Approximation Theory and Applications

  • 1st Edition
  • April 1, 2025
  • Sergei Aliukov
  • English
  • Paperback
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  • eBook
    9 7 8 - 0 - 4 4 3 - 2 9 1 4 2 - 5
Approximation Theory and Applications: Piecewise Linear and Generalized Functions presents the main provisions of approximation theory, and considers existing and new methods for approximating piecewise linear and generalized functions, widely used to solve problems related to mathematical modeling of systems, processes, and phenomena in fields ranging from engineering to economics. The widespread use of piecewise linear and generalized functions is explained by the simplicity of their structure. However, challenges often arise when constructing solutions over the entire domain of these functions, requiring the use special mathematical methods to put theory into practice. This book first offers a first full foundation in approximation theory as it relates to piecewise linear and generalized functions, followed by staged methods to resolve common problems in practice, with applications examined across structural mechanics, medicine, quantum theory, signal theory, semiconductor theory, mechanical engineering, heat engineering, and other fields. Later chapters consider numerical verification of approximation methods, and approximation theory as the basis for new macroeconomic theory with impulse and jump characteristics. Each chapter includes questions for review and sample problems, accompanied by a separate Solutions Manual hosted for instructor access.

Generalized Quantum Calculus with Applications

  • 1st Edition
  • March 1, 2025
  • Svetlin G. Georgiev + 1 more
  • English
  • Paperback
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  • eBook
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Generalized Quantum Calculus with Applications is devoted to the qualitative theory of general quantum calculus and its applications to general quantum differential equations and inequalities. The book is aimed at upper-level undergraduate students and beginning graduate students in a range of interdisciplinary courses including physical sciences and engineering, from quantum mechanics to differential equations, with pedagogically organized chapters that each concludes with a section of practical problems. Generalized quantum calculus includes a generalization of the q-quantum calculus and the time scale calculus. There are many open problems and difficulties in q-quantum calculus and time-scale calculus, and this book explores how to use the generalized quantum operators to solve difficulties arising in q-quantum calculus and time-scale calculus, including but not limited to generalized quantum integration, generalized quantum chain rules, and generalized quantum Taylor formula.Since generalized quantum calculus includes the q-quantum and time-scale calculus, this book can be utilized by a wide audience of researchers and students. This text is one of few foundational books on generalized quantum calculus and can be used for future discoveries in the area of integral transforms, variational calculus, integral equations, and inequalities in the language of generalized quantum calculus. This book also offers detailed proofs, exercises, and examples to aid instructors, researchers, and users in their studies.

Role of Internet of Things and Machine Learning in Smart Healthcare

  • 1st Edition
  • Volume 137
  • February 1, 2025
  • Suyel Namasudra
  • English
  • Hardback
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  • eBook
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Role of Internet of Things and Machine Learning in Smart Healthcare, Volume 137 of the Advances in Computers series, presents detailed coverage of innovations in computer hardware, software, theory, design, and applications. Published since 1960, this series provides contributors with a medium to explore their subjects in greater depth and breadth than typical journal articles. Additionally, the book discusses the basic concepts of the Internet of Things (IoT) and Machine Learning (ML), along with their various applications in smart healthcare. It proposes novel techniques by integrating IoT, cloud computing, and ML algorithms to efficiently manage e-healthcare data and improve security. The volume also addresses research challenges and probable future directions in smart healthcare using IoT and ML, making it a comprehensive resource for researchers, practitioners, and students interested in advancing healthcare technologies.

Related subjects

Mathematics and applied mathematics

Statistics and probability