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Books in Engineering mathematics

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Fundamentals of Uncertainty Quantification for Engineers

  • 1st Edition
  • May 1, 2025
  • Yan Wang + 2 more
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 1 3 6 6 1 - 0
  • eBook
    9 7 8 - 0 - 4 4 3 - 1 3 6 6 2 - 7
Fundamentals of Uncertainty Quantification for Engineers: Methods and Models provides a comprehensive introduction to uncertainty quantification (UQ) accompanied by a wide variety of applied examples, implementation details, and practical exercises to reinforce the concepts outlined in the book. Sections start with a review of the history of probability theory and recent developments of UQ methods in the domains of applied mathematics and data science. Major concepts of probability axioms, conditional probability, and Bayes’ rule are discussed and examples of probability distributions in parametric data analysis, reliability, risk analysis, and materials informatics are included.Random processes, sampling methods, and surrogate modeling techniques including multivariate polynomial regression, Gaussian process regression, multi-fidelity surrogate, support-vector machine, and decision tress are also covered. Methods for model selection, calibration, and validation are introduced next, followed by chapters on sensitivity analysis, stochastic expansion methods, Markov models, and non-probabilistic methods. The book concludes with a chapter describing the methods that can be used to predict UQ in systems, such as Monte Carlo, stochastic expansion, upscaling, Langevin dynamics, and inverse problems, with example applications in multiscale modeling, simulations, and materials design.

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.

Reliability Assessment and Optimization of Complex Systems

  • 1st Edition
  • October 31, 2024
  • Akshay Kumar + 2 more
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 2 9 1 1 2 - 8
  • eBook
    9 7 8 - 0 - 4 4 3 - 2 9 1 1 3 - 5
Reliability Assessment and Optimization of Complex Systems delves into a range of tools and techniques for designing optimized complex systems. Each chapter explores system modeling and the implementation of various metaheuristics for optimization purposes. This book provides readers in the domain of applied mathematics with a comprehensive understanding of system reliability analysis and improvement, thereby offering substantial value to their knowledge and expertise. System reliability has become the paramount attribute of any production unit. The process of maximizing system reliability while adhering to multiple constraints is referred to as reliability optimization.There are two primary approaches to enhancing a system's performance and reliability: developing a product with reduced failures (failure avoidance) or incorporating resilience to ensure the system continues functioning even in the event of a failure (fault tolerance).

Engineering Analysis

  • 1st Edition
  • May 20, 2024
  • Zhihe Jin
  • English
  • Paperback
    9 7 8 - 0 - 3 2 3 - 9 5 3 9 7 - 9
  • eBook
    9 7 8 - 0 - 3 2 3 - 9 5 3 9 6 - 2
Engineering Analysis: Advanced Mathematical Methods for Engineers introduces graduate engineering students to the fundamental but advanced mathematics tools used in engineering application, especially in mechanical, aerospace, and civil engineering. Most engineering problems are described by differential equations, particularly partial differential equations (PDEs). Deformation and failure in solid structures, fluid flow, heat transfer, and mass diffusion are all governed by PDEs in general. Many physical quantities in engineering are tensors, including deformation gradient, strain rates, stresses, elastic stiffness, and thermal conductivity of composite materials. This book helps engineering graduate students develop the skills to establish the mathematical models of engineering problems and to solve the problems described by the mathematical models.

MATLAB

  • 6th Edition
  • May 4, 2022
  • Dorothy C. Attaway
  • English
  • Paperback
    9 7 8 - 0 - 3 2 3 - 9 1 7 5 0 - 6
  • eBook
    9 7 8 - 0 - 3 2 3 - 9 8 6 1 1 - 3
MATLAB: A Practical Introduction to Programming and Problem Solving, winner of TAA’s 2017 Textbook Excellence Award ("Texty"), guides the reader through both programming and built-in functions to easily exploit MATLAB’s extensive capabilities for tackling engineering and scientific problems. Assuming no knowledge of programming, this book starts with programming concepts, such as variables, assignments, and selection statements, moves on to loops, and then solves problems using both the programming concept and the power of MATLAB. The sixth edition has been updated to reflect the functionality of the current version of MATLAB (R2021a), including the introduction of machine learning concepts and the Machine Learning Toolbox, and new sections on data formats and data scrubbing.

Introduction to Chemical Engineering Analysis Using Mathematica

  • 2nd Edition
  • June 16, 2021
  • Henry C. Foley
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 2 0 0 5 1 - 3
  • eBook
    9 7 8 - 0 - 1 2 - 8 2 0 0 5 2 - 0
Introduction to Chemical Engineering Analysis Using Mathematica, Second Edition reviews the processes and designs used to manufacture, use, and dispose of chemical products using Mathematica, one of the most powerful mathematical software tools available for symbolic, numerical, and graphical computing. Analysis and computation are explained simultaneously. The book covers the core concepts of chemical engineering, ranging from the conservation of mass and energy to chemical kinetics. The text also shows how to use the latest version of Mathematica, from the basics of writing a few lines of code through developing entire analysis programs. This second edition has been fully revised and updated, and includes analyses of the conservation of energy, whereas the first edition focused on the conservation of mass and ordinary differential equations.

Handbook of Probabilistic Models

  • 1st Edition
  • October 5, 2019
  • Pijush Samui + 3 more
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 6 5 1 4 - 0
  • eBook
    9 7 8 - 0 - 1 2 - 8 1 6 5 4 6 - 1
Handbook of Probabilistic Models carefully examines the application of advanced probabilistic models in conventional engineering fields. In this comprehensive handbook, practitioners, researchers and scientists will find detailed explanations of technical concepts, applications of the proposed methods, and the respective scientific approaches needed to solve the problem. This book provides an interdisciplinary approach that creates advanced probabilistic models for engineering fields, ranging from conventional fields of mechanical engineering and civil engineering, to electronics, electrical, earth sciences, climate, agriculture, water resource, mathematical sciences and computer sciences. Specific topics covered include minimax probability machine regression, stochastic finite element method, relevance vector machine, logistic regression, Monte Carlo simulations, random matrix, Gaussian process regression, Kalman filter, stochastic optimization, maximum likelihood, Bayesian inference, Bayesian update, kriging, copula-statistical models, and more.

Statistics for Biomedical Engineers and Scientists

  • 1st Edition
  • May 18, 2019
  • Andrew P. King + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 0 8 - 1 0 2 9 3 9 - 8
  • eBook
    9 7 8 - 0 - 0 8 - 1 0 2 9 4 0 - 4
Statistics for Biomedical Engineers and Scientists: How to Analyze and Visualize Data provides an intuitive understanding of the concepts of basic statistics, with a focus on solving biomedical problems. Readers will learn how to understand the fundamental concepts of descriptive and inferential statistics, analyze data and choose an appropriate hypothesis test to answer a given question, compute numerical statistical measures and perform hypothesis tests ‘by hand’, and visualize data and perform statistical analysis using MATLAB. Practical activities and exercises are provided, making this an ideal resource for students in biomedical engineering and the biomedical sciences who are in a course on basic statistics.

MATLAB

  • 5th Edition
  • July 11, 2018
  • Dorothy C. Attaway
  • English
  • eBook
    9 7 8 - 0 - 1 2 - 8 1 6 3 4 5 - 0
MATLAB: A Practical Introduction to Programming and Problem Solving, winner of TAA’s 2017 Textbook Excellence Award ("Texty"), guides the reader through both programming and built-in functions to easily exploit MATLAB's extensive capabilities for tackling engineering and scientific problems. Assuming no knowledge of programming, this book starts with programming concepts, such as variables, assignments, and selection statements, moves on to loops, and then solves problems using both the programming concept and the power of MATLAB. The fifth edition has been updated to reflect the functionality of the current version of MATLAB (R2018a), including the addition of local functions in scripts, the new string type, coverage of recently introduced functions to import data from web sites, and updates to the Live Editor and App Designer.

Hybrid Machining

  • 1st Edition
  • June 19, 2018
  • Xichun Luo + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 3 0 5 9 - 9
  • eBook
    9 7 8 - 0 - 1 2 - 8 1 3 1 1 3 - 8
Hybrid Machining: Theory, Methods, and Case Studies covers the scientific fundamentals, techniques, applications and real-world descriptions of emerging hybrid machining technology. This field is advancing rapidly in industrial and academic contexts, creating a great need for the fundamental and technical guidance that this book provides. The book includes discussions of basic concepts, process design principles, standard hybrid machining processes, multi-scale modeling approaches, design, on-machine metrology and work handling systems. Readers interested in manufacturing systems, product design or machining technology will find this one-stop guide to hybrid machining the ideal reference.