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Books in Applied mathematics

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Integral Manifolds for Impulsive Differential Problems with Applications

  • 1st Edition
  • May 1, 2025
  • 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.

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 each chapter to help readers implement their own codes and use them in the proposed examples and in their own research on one-shot device-testing data. Researchers, mathematicians, engineers, and students working on accelerated-life 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
    9 7 8 - 0 - 4 4 3 - 1 5 4 4 5 - 4
  • eBook
    9 7 8 - 0 - 4 4 3 - 1 5 4 4 6 - 1
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.

Mathematical Methods in Medical and Biological Sciences

  • 1st Edition
  • November 5, 2024
  • Harendra Singh + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 2 8 8 1 4 - 2
  • eBook
    9 7 8 - 0 - 4 4 3 - 2 8 8 1 5 - 9
Mathematical Methods in Medical and Biological Sciences presents mathematical methods for computational models arising in the medical and biological sciences. The book presents several real-life medical and biological models, such as infectious and non-infectious diseases that can be modeled mathematically to accomplish　profound research in virtual environments when the cost of laboratory expenses is relatively high. It focuses on mathematical techniques that provide global solutions for models arising in medical and biological sciences by considering their long-term benefits.In addition, the book provides leading-edge developments and insights for a range of applications, including epidemiological modeling of pandemic dynamics, viral infection developments, cancer developments, blood oxygen dynamics, HIV infection spread, reaction-diffusion models, polio infection spread, and chaos modeling with fractional order derivatives.

Visualizing More Quaternions

  • 1st Edition
  • July 1, 2024
  • Andrew J. Hanson
  • English
  • Hardback
    9 7 8 - 0 - 3 2 3 - 9 9 2 0 2 - 2
  • eBook
    9 7 8 - 0 - 3 2 3 - 9 9 3 9 0 - 6
Visualizing More Quaternions is a sequel to Dr. Andrew J. Hanson’s first book, Visualizing Quaternions, which appeared in 2006. This new volume develops and extends concepts that have attracted the author’s attention in the intervening 18 years, providing new insights into existing scholarship, and detailing results from Dr. Hanson’s own published and unpublished investigations relating to quaternion applications. Among the topics covered are the introduction of new approaches to depicting quaternions and their properties, applications of quaternion methods to cloud matching, including both orthographic and perspective projection problems, and orientation feature analysis for proteomics and bioinformatics. The quaternion adjugate variables are introduced to embody the nontrivial quaternion topology on the three-sphere and incorporate it into machine learning tasks. Other subjects include quaternion applications to a wide variety of problems in physics, including quantum computing, complexified quaternions in special relativity, and a detailed study of the Kleinian “ADE”discrete groups of the ordinary two-sphere. Quaternion geometry is also incorporated into the isometric embedding of the Eguchi–Hanson gravitational instanton corresponding to the k = 1 Kleinian cyclic group. Visualizing More Quaternions endeavors to explore novel ways of thinking about challenging problems that are relevant to a broad audience involved in a wide variety of scientific disciplines.

Advanced Calculus for Mathematical Modeling in Engineering and Physics

  • 1st Edition
  • June 14, 2024
  • David Stapleton
  • English
  • eBook
    9 7 8 - 0 - 4 4 3 - 2 2 2 8 8 - 7
Advanced Calculus for Mathematical Modeling in Engineering and Physics: With Discrete and Numerical Analogies introduces the principles and methods of advanced calculus for mathematical modeling through a balance of theory and application using a state space approach with elementary functional analysis. This framework facilitates a deeper understanding of the nature of mathematical models, and of the behavior of their solutions. The work provides a variety of advanced calculus models for mathematical, physical science, and engineering audiences, with discussions on how calculus-based models and their discrete analogies are generated. This valuable textbook offers scientific computations driven by Octave/MATLAB script.

Fractional Differential Equations

  • 1st Edition
  • April 29, 2024
  • Praveen Agarwal + 2 more
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 1 5 4 2 3 - 2
  • eBook
    9 7 8 - 0 - 4 4 3 - 1 5 4 2 4 - 9
Fractional Differential Equations: Theoretical Aspects and Applications presents the latest mathematical and conceptual developments in the field of Fractional Calculus and explores the scope of applications in research science and computational modeling. The book delves into these methods and applied computational modelling techniques, including analysis of equations involving fractional derivatives, fractional derivatives and the wave equation, analysis of FDE on groups, direct and inverse problems, functional inequalities, and computational methods for FDEs in physics and engineering. Other modeling techniques and applications explored include general fractional derivatives involving the special functions in analysis and fractional derivatives with respect to other functions. Fractional Calculus, the field of mathematics dealing with operators of differentiation and integration of arbitrary real or even complex order, extends many of the modelling capabilities of conventional calculus and integer-order differential equations and finds its application in various scientific areas, such as physics, mechanics, engineering, economics, finance, biology, and chemistry, among others.

Computation and Modeling for Fractional Order Systems

  • 1st Edition
  • February 20, 2024
  • Snehashish Chakraverty + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 1 5 4 0 4 - 1
  • eBook
    9 7 8 - 0 - 4 4 3 - 1 5 4 0 5 - 8
Computation and Modeling for Fractional Order Systems provides readers with problem-solving techniques for obtaining exact and/or approximate solutions of governing equations arising in fractional dynamical systems presented using various analytical, semi-analytical, and numerical methods. Various analytical/semi-analytical/numerical methods are applied for solving real-life fractional order problems. The comprehensive descriptions of different recently developed fractional singular, non-singular, fractal-fractional, and discrete fractional operators, along with computationally efficient methods, are included for the reader to understand how these may be applied to real-world systems, and a wide variety of dynamical systems such as deterministic, stochastic, continuous, and discrete are addressed.Fractional calculus has gained increasing popularity and relevance over the last few decades, due to its well-established applications in various fields of science and engineering. It deals with the differential and integral operators with non-integral powers. Fractional differential equations are the pillar of various systems occurring in a wide range of science and engineering disciplines, namely physics, chemical engineering, mathematical biology, financial mathematics, structural mechanics, control theory, circuit analysis, and biomechanics, among others.

Actuaries' Survival Guide

  • 3rd Edition
  • February 2, 2024
  • Ping Wang + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 1 5 4 9 7 - 3
  • eBook
    9 7 8 - 0 - 4 4 3 - 1 5 4 9 8 - 0
Actuaries' Survival Guide: Navigating the Exams as Applications of Data Science, Third Edition explains what actuaries are, what they do, and where they do it. The book describes exciting combinations of ideas, techniques, and skills involved in their day-to-day work. This edition has been updated to reflect the rise of social networking and the internet, the progress toward a global knowledge-based economy, and the global expansion of the actuarial field that has occurred since the prior edition.

Picture Fuzzy Logic and Its Applications in Decision Making Problems

  • 1st Edition
  • November 8, 2023
  • Chiranjibe Jana + 3 more
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 2 2 0 2 4 - 1
  • eBook
    9 7 8 - 0 - 4 4 3 - 2 2 0 2 3 - 4
Picture Fuzzy Logic and Its Applications in Decision Making Problems provides methodological frameworks and the latest empirical research findings in the field of picture fuzzy operators and their applications in scientific research and real-world engineering problems. In this book, picture fuzzy sets are investigated, and different types of operators are defined to solve a number of important decision-making and optimization problems. The hybrid operator on picture fuzzy set based on the combination of picture fuzzy weighted averaging operators and picture fuzzy weighted geometric operators is developed and named Hybrid Picture Fuzzy Weighted Averaging Geometric (H-PFWAG) operator. In addition, another operator is developed for interval-valued picture fuzzy environment, which is named Hybrid Interval-Valued Picture Fuzzy Weighted Averaging Geometric (H-IVPFWAG) operator. These two operators are then demonstrated as solutions to Multiple-Attribute Decision-Making (MADM) problems. The picture fuzzy soft weighted aggregation operators (averaging and geometric) are defined, and these are applied to develop a multi-criteria group decision making system.