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Books in Mathematics and applied mathematics

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11-20 of 2229 results in All results

Fractional Calculus

  • 1st Edition
  • June 21, 2024
  • Behzad Ghanbari
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 3 1 5 0 0 - 8
  • eBook
    9 7 8 - 0 - 4 4 3 - 3 1 5 0 1 - 5
Fractional Calculus: Bridging Theory with Computational and Contemporary Advances is an authoritative and comprehensive guide that delves into the world of fractional calculus, offering a unique blend of theoretical foundations, numerical algorithms, practical applications, and innovative perspectives. This book explores the mathematical framework of fractional calculus and its relevance across various disciplines, providing readers with a deep understanding of this rapidly growing field. The author presents a rigorous yet accessible approach to fractional calculus, making it suitable for mathematicians, researchers, academics, graduate students, and professionals in engineering and applied sciences. The book covers a wide range of topics, including numerical methods for fractional calculus equations, fractional differential equations, fractal dynamics, and fractional control systems. It also explores applications in areas such as physics, engineering, signal processing, and data analysis. Fractional Calculus: Bridging Theory with Computational and Contemporary Advances equips readers with the necessary tools to tackle challenging problems involving fractional calculus, empowering them to apply these techniques in their research, professional work, or academic pursuits. The book provides a comprehensive introduction to the fundamentals of fractional calculus, explaining the theoretical concepts and key definitions in a clear and accessible manner. This helps readers build a strong foundation in the subject. The book then covers a range of numerical algorithms specifically designed for fractional calculus problems, explaining the underlying principles, step-by-step implementation, and computational aspects of these algorithms. This enables readers to apply numerical techniques to solve fractional calculus problems effectively. The book also provides examples that illustrate how fractional calculus is applied to solve real-world problems, providing readers with insights into the wide-ranging applications of the subject.

Advanced Calculus for Mathematical Modeling in Engineering and Physics

  • 1st Edition
  • June 14, 2024
  • David Stapleton
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 2 2 2 8 9 - 4
  • 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.

Numerical Analysis meets Machine Learning

  • 1st Edition
  • Volume 25
  • June 13, 2024
  • Siddhartha Mishra + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 4 4 3 - 2 3 9 8 4 - 7
  • eBook
    9 7 8 - 0 - 4 4 3 - 2 3 9 8 5 - 4
Numerical Analysis Meets Machine Learning series, highlights new advances in the field, with this new volume presenting interesting chapters. Each chapter is written by an international board of authors.

API Design for C++

  • 2nd Edition
  • May 23, 2024
  • Martin Reddy
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 2 2 2 1 9 - 1
  • eBook
    9 7 8 - 0 - 4 4 3 - 2 2 2 2 0 - 7
API Design for C++, Second Edition provides a comprehensive discussion of Application Programming Interface (API) development, from initial design through implementation, testing, documentation, release, versioning, maintenance, and deprecation. It is the only book that teaches the strategies of C++ API development, including interface design, versioning, scripting, and plug-in extensibility. Drawing from the author's experience on large scale, collaborative software projects, the text offers practical techniques of API design that produce robust code for the long-term. It presents patterns and practices that provide real value to individual developers as well as organizations.The Second Edition includes all new material fully updated for the latest versions of C++, including a new chapter on concurrency and multithreading, as well as a new chapter discussing how Objective C++ and C++ code can co-exist and how a C++ API can be accessed from Swift programs. In addition, it explores often overlooked issues, both technical and non-technical, contributing to successful design decisions that produce high quality, robust, and long-lived APIs. It focuses on various API styles and patterns that will allow you to produce elegant and durable libraries. A discussion on testing strategies concentrates on automated API testing techniques rather than attempting to include end-user application testing techniques such as GUI testing, system testing, or manual testing.

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.

Applications of Nature-Inspired Computing and Optimization Techniques

  • 1st Edition
  • Volume 135
  • April 2, 2024
  • Anupam Biswas + 3 more
  • English
  • Hardback
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  • eBook
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Advances in Computers, Volume 135 highlights advances in the field, with this new volume, Applications of Nature-inspired Computing and Optimization Techniques presenting interesting chapters on a variety of timely topics, including A Brief Introduction to Nature-inspired Computing, Optimization and Applications, Overview of Non-linear Interval Optimization Problems, Solving the Aircraft Landing Problem using the Bee Colony Optimization (BCO) Algorithm, Situation-based Genetic Network Programming to Solve Agent Control Problems, Small Signal Stability Enhancement of Large Interconnected Power System using Grasshopper Optimization Algorithm Tuned Power System Stabilizer, Air Quality Modelling for Smart Cities of India by Nature Inspired AI – A Sustainable Approach, and much more.Other sections cover Genetic Algorithm for the Optimization of Infectiological Parameter Values under Different Nutritional Status, A Novel Influencer Mutation Strategy for Nature-inspired Optimization Algorithms to Solve Electricity Price Forecasting Problem, Recent Trends in Human and Bio Inspired Computing: Use Case Study from Retail Perspective, Domain Knowledge Enriched Summarization of Legal Judgment Documents via Grey Wolf Optimization, and a host of other topics.

Industrial Network Security

  • 3rd Edition
  • March 26, 2024
  • Eric D. Knapp
  • English
  • Paperback
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  • eBook
    9 7 8 - 0 - 4 4 3 - 1 3 7 3 8 - 9
As the sophistication of cyber-attacks increases, understanding how to defend critical infrastructure systems—energy production, water, gas, and other vital systems—becomes more important, and heavily mandated. Industrial Network Security, Third Edition arms you with the knowledge you need to understand the vulnerabilities of these distributed supervisory and control systems.Author Eric Knapp examines the unique protocols and applications that are the foundation of Industrial Control Systems (ICS) and provides clear guidelines for their protection. This comprehensive reference gives you thorough understanding of the challenges facing critical infrastructures, new guidelines and security measures for infrastructure protection, knowledge of new and evolving security tools, and pointers on SCADA protocols and security implementation.

Data Fusion Techniques and Applications for Smart Healthcare

  • 1st Edition
  • March 12, 2024
  • Amit Kumar Singh + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 1 3 2 3 3 - 9
  • eBook
    9 7 8 - 0 - 4 4 3 - 1 3 2 3 4 - 6
Data Fusion Techniques and Applications for Smart Healthcare covers cutting-edge research from both academia and industry, with a particular emphasis on recent advances in algorithms and applications that involve combining multiple sources of medical information. The book can be used as a reference for practicing engineers, scientists, and researchers, but it will also be useful for graduate students and practitioners from government and industry as well as healthcare technology professionals working on state-of-the-art information fusion solutions for healthcare applications.Medical data exists in several formats, from structured data and medical reports to 1D signals, 2D images, 3D volumes, or even higher dimensional data such as temporal 3D sequences. Healthcare experts can make auscultation reports in text format; electrocardiograms can be printed in time series format, X-rays saved as images; volume can be provided through angiography; temporal information by echocardiograms, and 4D information extracted through flow MRI.

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.

Artificial Intelligence and Machine Learning for Open-world Novelty

  • 1st Edition
  • Volume 134
  • February 19, 2024
  • Ganesh Chandra Deka + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 3 2 3 - 9 9 9 2 8 - 1
  • eBook
    9 7 8 - 0 - 3 2 3 - 9 9 9 2 9 - 8
Artificial Intelligence and Machine Learning for Open-world Novelty, Volume 134 in the Advances in Computers series presents innovations in computer hardware, software, theory, design and applications, with this updated volume including new chapters on AI and Machine Learning for Real-world problems, Graph Neural Network for learning complex problems, Adaptive Software platform architecture for Aerial Vehicle Safety Levels in real-world applications, OODA Loop for Learning Open-world Novelty Problems, Privacy-Aware Crowd Counting Methods for Real-World Environment, AI and Machine Learning for 3D Computer Vision Applications in Open-world, and PIM Hardware accelerators for real-world problems.Other sections cover Irregular Situations in Real-World Intelligent Systems, Offline Reinforcement Learning Methods for Real-world Problems, Addressing Uncertainty Challenges for Autonomous Driving in Real-World Environments, and more.

Related subjects

Abstract harmonic analysis

Algebra and number theory

Algebraic geometry

Algebraic topology

Analysis

Applied mathematics

Approximations and expansions

Associative rings and algebras

Biomathematics

Calculus of variations and optimal control optimization

Category theory homological algebra

Commutative rings and algebras

Computer science

Convex sets and related geometric topics

Differential geometry

Discrete mathematics combinatorics

Field theory and polynomials

Finite differences and functional equations

Fourier analysis

Functional analysis

Functions of a complex variable

General mathematical systems

General topology

Geometry

Global analysis analysis of manifolds

Group theory and generalizations

Integral equations

Integral transforms operational calculus

Linear and multilinear algebra matrix theory

Logic

Manifolds and cell complexes

Mathematical economics and game theory

Mathematical logic and foundations

Mathematical programming

Mathematics general

Mathematics history and biography

Measure and integration

Number theory

Numerical analysis

Operator theory

Order lattices ordered algebraic structures

Ordinary differential equations

Partial differential equations

Real functions

Sequences series summability

Set theory

Several complex variables and analytic spaces

Special functions

Systems theory control

Topological groups lie groups