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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

    • Quaternion Generalized Inverses

      • 1st Edition
      • July 9, 2025
      • Ivan I. Kyrchei
      • English
      • Paperback
        9 7 8 0 4 4 3 3 4 1 4 5 8
      • eBook
        9 7 8 0 4 4 3 3 4 1 4 6 5
      A cornerstone of linear algebra, the determinant's utility in real and complex fields is undeniable, though traditionally limited to invertibility, rank, and solving linear systems. Quaternion Generalized Inverses: Foundations, Theory, Problems, and Solutions ventures into uncharted territory: extending these concepts to linear algebra over the noncommutative quaternion skew field. The author's groundbreaking theory of "noncommutative" row–column determinants is central to this exploration, a significant advancement beyond the Moore determinant. This seven-chapter work thoroughly introduces the history of noncommutative determinants before delving into the author's theory and its application to inverse matrix computation and Cramer's rule for quaternion systems. The main portion of this work is dedicated to a comprehensive examination of quaternion generalized inverses, spanning the well-established Moore–Penrose and Drazin inverses to more recent developments such as core-EP and composite inverses. The book provides their definitions, properties, and, uniquely, their determinantal representations based on the author's noncommutative determinants. It culminates in demonstrating their powerful applications in solving a wide range of quaternion matrix equations, including Sylvester-type and constrained equations, as well as differential matrix equations.

    • Numerical Linear Algebra with Applications

      • 2nd Edition
      • July 4, 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.Appropri... for advanced undergraduate and early graduate courses on numerical linear algebra, this useful textbook explores numerous applications to engineering and science.

    • Stochastic Theory of Service Systems

      • 1st Edition
      • May 23, 2025
      • L. Kosten
      • I. N. Sneddon + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 1 1 8 1 6 1
      • eBook
        9 7 8 1 4 8 3 1 5 0 5 8 1
      International Series of Monographs in Pure and Applied Mathematics, Volume 103: Stochastic Theory of Service Systems focuses on the principles, methodologies, and approaches involved in the stochastic theory of service systems. The publication first examines the general description of service systems, characteristics of the arrival process, standard cases, and the distribution of waiting-times in the system M/M/c-delay. Discussions focus on "random" condition, probability of delay and average waiting-time for the system M/M/c-delay, Engset formula, and probability of blocking for the system M/M/c-blocking. The text then examines general holding-time assumption, non-stationary behavior, and priority. Topics include pre-emptive priority, transient behavior of the system M/G/1-delay, Markov process with a finite number of states, and hyperexponential distributions. The manuscript takes a look at simulation, arrival and service in batches, and restricted availability, including approximate determination of probabilities of blocking, "unscheduled ferry problem", principles of roulette simulation, and implementation of randomness. The publication is a dependable source material for researchers interested in the stochastic theory of service systems.

    • An Introduction to Discrete Mathematics

      • 1st Edition
      • May 12, 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.

    • 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.

    • 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.

    • 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
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      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
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      • eBook
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      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.

    • Mathematical Modeling in Bioscience

      • 1st Edition
      • March 27, 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.

    • Statistical Modeling and Robust Inference for One-shot Devices

      • 1st Edition
      • March 26, 2025
      • Narayanaswamy Balakrishnan + 1 more
      • English
      • Paperback
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      • 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.Statistic... 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