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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

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

      • 1st Edition
      • February 1, 2026
      • 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.

    • Introduction to Fuzzy Mathematics

      • 1st Edition
      • March 1, 2026
      • John Mordeson + 2 more
      • English
      • Paperback
        9 7 8 0 4 4 3 4 4 0 9 7 7
      • eBook
        9 7 8 0 4 4 3 4 4 0 9 8 4
      Delve into the intricate landscape of fuzzy mathematics, where the boundaries of traditional mathematical disciplines—analysis... abstract algebra, geometry, topology, and graph theory—are blurred to address pressing global issues.Through a rigorous examination of fuzzy sets and similarity measures, Introduction to Fuzzy Mathematics: With Applications to Global Problems lays the groundwork for innovative solutions to complex problems, from medical diagnostics to sustainability, refugee crises and the fight against human trafficking. Meanwhile, research projects and exercises integrated across chapters reinforce learning and apply fuzzy mathematics to real-world scenarios. Chapters are meticulously organized to guide readers through foundational concepts, including fuzzy sets, evidence theory, and implication operators, before advancing to applications in sustainability and climate change. Further, the book examines refugee dynamics and public health models, culminating in a thorough exploration of fuzzy algebraic structures, geometry, topology, and graph theory.This comprehensive resource not only enhances understanding of fuzzy mathematics but also equips readers—researchers, practitioners, and policymakers alike—with the tools to tackle critical global issues. By integrating mathematical rigor with real-life applications, the book serves as a vital reference for anyone seeking to navigate the complexities of our world through the lens of fuzzy mathematics.

    • Finite Mathematics

      • 1st Edition
      • April 24, 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.

    • Markov Chains: Theory and Applications

      • 1st Edition
      • Volume 52
      • April 15, 2025
      • English
      • Hardback
        9 7 8 0 4 4 3 2 9 5 7 6 8
      • eBook
        9 7 8 0 4 4 3 2 9 5 7 7 5
      Markov Chains: Theory and Applications, Volume 52 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters on topics such as Markov Chain Estimation, Approximation, and Aggregation for Average Reward Markov Decision Processes and Reinforcement Learning, Ladder processes: symmetric functions and semigroups, Continuous-time Markov Chains and Models: Study via Forward Kolmogorov System, Analysis of Data Following Finite-State Continuous-Time Markov Chains, Computational applications of poverty measurement through Markov model for income classes, and more.Other sections cover Estimation and calibration of continuous time Markov chains, Additive High-Order Markov Chains, The role of the random-product technique in the theory of Markov chains on a countable state space., On estimation problems based on type I Longla copulas, and Long time behavior of continuous time Markov chains.

    • Irreducible Tensorial Sets

      • 1st Edition
      • February 3, 2025
      • U. Fano + 1 more
      • H. S. W. Massey + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 3 8 4 8
      • eBook
        9 7 8 1 4 8 3 2 7 6 1 6 8
      Irreducible Tensorial Sets discusses mathematical methods originating from the theory of coupling and recoupling of angular momenta in atomic physics that constitute an extension of vector and tensor algebra. The book presents a unified treatment with a compact system of notations from different approaches, such as group theory, algebra, and quantum mechanical transformation theory. It discusses irreducible tensorial sets that cover different sets of quantities such as tensor components and states of atomic systems. It also explains quantum mechanical applications, coupling and recoupling of atomic and nuclear states, the Wigner-Eckart theorem, and the products of tensorial sets of operators. The text shows how to calculate the interaction energy between atomic systems couple with one another with a constant total angular momentum. The book also explains the correlations which are functions of the Euler angles between the frame of reference in which a radiation is observed and a frame of reference attached to the orienting radiation or field. It then cites sample problems related to the angular distribution of radiations. The book will prove useful for physicists, for mathematicians, or for readers with some knowledge in theoretical physics, particularly on theory of groups and quantum mechanics.

    • Agent-Based Models with MATLAB

      • 1st Edition
      • January 20, 2025
      • Erik Cuevas + 3 more
      • English
      • Paperback
        9 7 8 0 4 4 3 2 4 0 0 4 1
      • eBook
        9 7 8 0 4 4 3 2 4 0 0 5 8
      Agent-Based Models with MATLAB introduces Agent-Based Modeling (ABM), one of the most important methodologies for complex systems modeling. The book explores computational implementations and accompanying MATLAB software code as a means of inspiring readers to apply agent-based models to solve a diverse range of problems. It comes with a large amount of software code that accompanies the main text, and the modeling systems described in the book are implemented using MATLAB as the programming language. Despite the heavy mathematical components of Agent-Based Models and complex systems, it is possible to utilize these models without in-depth understanding of their mathematical fundamentals.This book enables computer scientists, mathematicians, researchers, and engineers to apply ABM in a wide range of research and engineering applications. It gradually advances from basic to more advanced methods while reinforcing complex systems through practical, hands-on applications of various computational models.

    • Integral Manifolds for Impulsive Differential Problems with Applications

      • 1st Edition
      • April 24, 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
      • May 2, 2025
      • 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.

    • Computer-Aided Diagnosis (CAD) Tools and Applications for 3D Medical Imaging

      • 1st Edition
      • Volume 136
      • January 20, 2025
      • English
      • Hardback
        9 7 8 0 3 2 3 9 8 8 5 7 5
      • eBook
        9 7 8 0 3 2 3 9 8 8 5 8 2
      Computer-Aided Diagnosis (CAD) Tools and Applications for 3D Medical Imaging, Volume 136 in the Advances in Computers series, presents detailed coverage of innovations in computer hardware, software, theory, design, and applications. Chapters in this updated release include Introduction to Computer-aided diagnosis (CAD) tools and applications, Enhancement of three-dimensional medical images, Machine Learning Based Techniques for Computer Aided Diagnosis, AI-based image processing techniques for the automatic segmentation of human organs, Watermarking over medical images, Compressive Sensing for 3D Medical Image Compression, and more.Additional chapters cover Image encryption of medical images, Image Registration for 3D Medical Images, Texture-based computations for processing volumetric dental image, Language Processing in the Brain :an fMRI Study, Research challenges and emerging futuristic evolution for 3D medical image processing, Software based medical image analysis, and Automated 3D Visualization and Volume Estimation of Hepatic Structures for Treatment Planning of Hepatocellular Carcinoma.

    • Role of Internet of Things and Machine Learning in Smart Healthcare

      • 1st Edition
      • Volume 137
      • February 1, 2025
      • English
      • Hardback
        9 7 8 0 4 4 3 2 2 3 8 6 0
      • eBook
        9 7 8 0 4 4 3 2 2 3 8 7 7
      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