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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

    • Implementing R for Statistics

      • 1st Edition
      • January 19, 2026
      • Muhammad Imran + 3 more
      • English
      • Paperback
        9 7 8 0 4 4 3 3 8 3 2 1 2
      • eBook
        9 7 8 0 4 4 3 3 8 3 2 2 9
      Written by an international and experienced team of authors, Implementing R for Statistics is a textbook designed for students of statistics and mathematics courses and professional statisticians. This timely first edition provides comprehensive coverage of basic statistical concepts using this important open-source programming language tool, from installing R and RStudio, to exploring its basic structure and uses, to extending some core functions such as vectors, basic mathematical operations, and data frames. It helps readers understand the latest advances in the R programming language, as R allows for sophisticated and elegant data visualization. Illustrated examples are an integral part of the text, carefully designed to apply the core principles illustrated in the text to emerging topics in the field. The text also focuses on exploiting the flexible and user-friendly nature of R. Basic concepts and recent advances in the field, including understanding the R basics, as well as implementing and practicing them in statistics, are covered in Implementing R for Statistics. The book also provides useful insights into the process of developing R packages. The text includes new content on applied statistics and R implementation, as well as updated material on building an R package and creating metadata. This first edition is an essential text for students, lecturers, data scientists, and applied researchers in all areas of statistics, as well as in related fields such as biostatistics, health care, finance, risk management, social sciences, market research, and environmental and climate research.

    • Trigonometry

      • 1st Edition
      • February 23, 2026
      • João Ricardo Branco + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 3 4 4 5 1 0 1
      • eBook
        9 7 8 0 4 4 3 4 4 5 1 1 8
      Trigonometry: From Theory to Application introduces the basics of trigonometry and key areas of practice, fully considering in straightforward, pragmatic terms the characterization of triangles, coordinate transport, and coordinate systems, with emphasis on interpreting key concepts and applying them. This book begins with a review of basic trigonometric functions and their properties, and moves on to trigonometric identities, equations, and practical applications. Each chapter is interconnected, ensuring that students build a solid and cumulative understanding of the concepts, with detailed examples, varied exercises, and full-color illustrations. Special sections dedicated to real-world and technological problems demonstrate how trigonometry is applied in everyday situations, inspiring and motivating students to see the relevance of trigonometry beyond the classroom, across fields ranging from engineering to physics and beyond.

    • 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.

    • Quantitative Biology

      • 1st Edition
      • March 7, 2026
      • Alonso Ogueda + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 3 2 7 4 5 2 7
      • eBook
        9 7 8 0 4 4 3 2 7 4 5 3 4
      Quantitative Biology introduces and implements quantitative and data-driven approaches for analyzing biological and bio-inspired systems, covering the foundations of mathematical modeling, analysis, and computation. The book presents a practical mix of both theory and computation for a variety of biological applications, with tied-in, engaging project activities, instruction, programming language, and technological tools. Modeling approaches in the book combine mathematical foundations, statistical reasoning, and computational thinking, with application in compartmental, agent-based, bio image, biological interaction, and neural network modeling, as well as machine learning, parameter identification, and more, with a later chapter considering applications across societal challenges. Each chapter includes exposure to models and modeling, a foundational instructional framework, benchmark applications, and numerical simulations with a literate programming guided style, helping readers go beyond replication models and into prediction and data-driven discovery. A companion website also features interactive code to accompany projects across each chapter.

    • Extended Hypergeometric Functions and Orthogonal Polynomials

      • 1st Edition
      • February 1, 2026
      • Praveen Agarwal + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 3 3 6 4 8 4 6
      • eBook
        9 7 8 0 4 4 3 3 6 4 8 5 3
      Extended Hypergeometric Functions and Orthogonal Polynomials presents a comprehensive and accessible resource for researchers and graduate students interested in exploring the rich connections between extended hypergeometric functions, orthogonal polynomials, and multivariable polynomials. Integrating all three fields and their applications in Maple, Mathematica, and MATLAB, this book fosters interdisciplinary understanding and inspires new avenues of research in mathematics, engineering, physics, and computer science. It also provides a glimpse into future research directions in these areas, including potential applications in emerging fields of applied mathematics and interdisciplinary collaborations. Each chapter begins with an introduction, includes sections on theory, followed by sections on applications, and ends with exercises, problems, references and suggested readings.

    • Functional Analysis: Theory and Applications

      • 1st Edition
      • May 1, 2026
      • Ravi P. Agarwal + 2 more
      • English
      • Paperback
        9 7 8 0 4 4 3 3 3 1 7 4 9
      • eBook
        9 7 8 0 4 4 3 3 3 1 7 5 6
      An applied understanding of functional analysis is essential for students pursuing research or careers in pure mathematics, applied mathematics, mathematical physics, and engineering, among other disciplines.Function... Analysis: Theory and Applications offers a comprehensive exploration of functional analysis. Authored by esteemed mathematicians with extensive expertise in the field, this book thoroughly introduces fundamental concepts in functional analysis, including Banach spaces, Hilbert spaces, operator theory, nonlinear analysis, linear operators, and normed spaces, and implements these in real-world problems across various scientific and engineering disciplines.The book's rigorous mathematical treatment is combined with worked examples, exercises and solutions, visual aids, application case studies, and future directions across all chapters to reinforce learning, while appendices offer supplementary materials, proofs of theorems, and tables of important results, among other resources.

    • An Introduction to Stochastic Modeling

      • 5th Edition
      • January 9, 2026
      • Gabriel Lord + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 3 3 1 5 5 2 7
      • eBook
        9 7 8 0 4 4 3 3 1 5 5 3 4
      An 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 broad range of students.

    • 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.

    • Statistics in Industry and Government

      • 1st Edition
      • Volume 53
      • August 6, 2025
      • English
      • Hardback
        9 7 8 0 4 4 3 3 1 4 2 2 3
      • eBook
        9 7 8 0 4 4 3 3 1 4 2 3 0
      Statistics in Industry and Government covers industrial quality control and high-class quality maintenance in products. The book aims to cover as many applications that use statistics as an underlying tool in bringing the best quality products and industrial designs. Chapters in this new release include Analysis of Official Time Series with Ecce Signum, an R Package for Multivariate Signal Extraction and Forecasting, The Maturity Structure of Public Debt: A Granular Approach Using Indian Data, Harnessing the power of spherical intersection: A less arbitrary unsupervised learning method applied to pattern recognition within financial data, and much more.Other chapters in this release include The Use of Causal Inference with Structural Models in Industry, MSME Statistics in India, The Importance of Accurate, Timely, Credible Crime Data to Inform Crime and Justice Policy, Combining Information from Multiple Sources in Official Statistics, Active Learning of Computer Experiment with both Quantitative and Qualitative Inputs, On the use of machine learning methods for missing data problems, Optimal Experimental Planning for Experiments Based on Coherent Systems with Industrial Applications, and more.

    • 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.

Related subjects

Mathematics and applied mathematics

Statistics and probability