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Harmonic analysis. Fourier analysis --- Mathematical analysis --- Mathematics --- Computer science --- Fourieranalyse --- analyse (wiskunde) --- toegepaste wiskunde --- informatica
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Number theory --- Geometry --- Analytical spaces --- Functional analysis --- Mathematical analysis --- Mathematics --- Engineering sciences. Technology --- analyse (wiskunde) --- toegepaste wiskunde --- functies (wiskunde) --- ingenieurswetenschappen --- getallenleer --- geometrie
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Mathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and graduate levels. This self-contained textbook consists of eleven chapters, which are further divided into sections and subsections. Each section includes a careful selection of special topics covered that will serve to illustrate the scope and power of various methods in real analysis. The exposition is developed with thorough explanations, motivating examples, and illustrations conveying geometric intuition in a pleasant and informal style to help readers grasp difficult concepts. Key features include: * Questions and Exercises are provided at the end of each section, covering a broad spectrum of content with various levels of difficulty; * Some of the exercises are routine in nature while others are interesting, instructive, and challenging with hints provided for selected exercises; * Covers a broad spectrum of content with a range of difficulty that will enable students to learn techniques and standard analysis tools; * Introduces convergence, continuity, differentiability, the Riemann integral, power series, uniform convergence of sequences and series of functions, among other topics; * Examines various important applications throughout the book; * Figures throughout the book to demonstrate ideas and concepts are drawn using Mathematica. Foundations of Mathematical Analysis is intended for undergraduate students and beginning graduate students interested in a fundamental introduction to the subject. It may be used in the classroom or as a self-study guide without any required prerequisites.
Harmonic analysis. Fourier analysis --- Mathematical analysis --- Mathematics --- Computer science --- Fourieranalyse --- analyse (wiskunde) --- toegepaste wiskunde --- informatica
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Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The authors explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics, using geometry to illustrate analytic concepts and employing analysis to unravel geometric notions. The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. This focus involves a careful examination of the methods and assumptions underlying various alternative routes that lead to the same destination. The material includes numerous examples and applications relevant to engineering students, along with some techniques to evaluate various types of integrals. The book may serve as a text for an undergraduate course in complex variables designed for scientists and engineers or for mathematics majors interested in further pursuing the general theory of complex analysis. The only prerequisite is a basic knowledge of advanced calculus. The presentation is also ideally suited for self-study.
Number theory --- Geometry --- Analytical spaces --- Functional analysis --- Mathematical analysis --- Mathematics --- Engineering sciences. Technology --- analyse (wiskunde) --- toegepaste wiskunde --- functies (wiskunde) --- ingenieurswetenschappen --- getallenleer --- geometrie
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This book features selected papers from the 9th International Conference on Mathematics and Computing (ICMC 2023), organized at BITS Pilani K. K. Birla Goa Campus, India, during 6–8 January 2023. It covers recent advances in the field of mathematics, statistics, and scientific computing. The book presents innovative work by leading academics, researchers, and experts from industry in mathematics, statistics, cryptography, network security, cybersecurity, machine learning, data analytics, and blockchain technology in computer science and information technology.
Computational intelligence. --- Artificial intelligence. --- Computer networks --- Cloud Computing. --- Blockchains (Databases). --- Data protection. --- Computational Intelligence. --- Artificial Intelligence. --- Mobile and Network Security. --- Blockchain. --- Data and Information Security. --- Security measures. --- Data governance --- Data regulation --- Personal data protection --- Protection, Data --- Electronic data processing --- Block chains (Databases) --- Database security --- Distributed databases --- Web services --- Computer network security --- Network security, Computer --- Security of computer networks --- Computer security --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Distributed processing --- Cloud computing. --- Blockchains (Databases)
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This book features selected papers from the 5th International Conference on Mathematics and Computing (ICMC 2019), organized by the School of Computer Engineering, Kalinga Institute of Industrial Technology Bhubaneswar, India, on February 6 - 9, 2019. Covering recent advances in the field of mathematics, statistics and scientific computing, the book presents innovative work by leading academics, researchers and experts from industry.
Discrete mathematics --- Mathematics --- Computer science --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- neuronale netwerken --- fuzzy logic --- cybernetica --- toegepaste wiskunde --- discrete wiskunde --- informatica --- wiskunde --- algoritmen --- KI (kunstmatige intelligentie) --- AI (artificiële intelligentie)
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This book features selected papers from the 6th International Conference on Mathematics and Computing (ICMC 2020), organized by Sikkim University, Gangtok, Sikkim, India, during September 2020. It covers recent advances in the field of mathematics, statistics, and scientific computing. The book presents innovative work by leading academics, researchers, and experts from industry. .
Computer science --- Computer architecture. Operating systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- neuronale netwerken --- veiligheid (technologie) --- GSM (global system for mobile communications) --- fuzzy logic --- cybernetica --- informatica --- netwerken (informatica) --- wiskunde --- KI (kunstmatige intelligentie) --- mobiele communicatie --- AI (artificiële intelligentie)
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Computer architecture. Operating systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- neuronale netwerken --- veiligheid (technologie) --- fuzzy logic --- cybernetica --- netwerken (informatica) --- computerbeveiliging --- AI (artificiële intelligentie) --- mobiele communicatie --- netwerk management
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Computer architecture. Operating systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- neuronale netwerken --- veiligheid (technologie) --- fuzzy logic --- cybernetica --- netwerken (informatica) --- computerbeveiliging --- AI (artificiële intelligentie) --- mobiele communicatie --- netwerk management
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This book comprises select peer-reviewed articles submitted for the proceedings of the International Conference on Mathematics and Computing (ICMC 2022), held by the School of Advanced Sciences, Vellore Institute of Technology, Vellore, India, in association with Ramanujan Mathematical Society, India, Cryptology Research Society of India and Society for Electronic Transactions and Security, India, from 6-8 January 2022. With an aim to identify the existing challenges in the areas of mathematics and computing, the book emphasizes the importance of establishing new methods and algorithms to address these challenges. The book includes topics on diverse applications of cryptology, network security, cyber security, block chain, IoT, mobile network, data analytics, applied algebra, mathematical analysis, mathematical modelling, fluid dynamics, fractional calculus, multi-optimization, integral equations, dynamical systems, numerical analysis and scientific computing. Divided into five major parts-applied algebra and analysis, fractional calculus and integral equations, mathematical modelling and fluid dynamics, numerical analysis, and computer science and applications-the book is a useful resource for students, researchers and faculty as well as practitioners.
Algebra --- Mathematical analysis --- Numerical analysis --- Mathematics --- Fluid mechanics --- Planning (firm) --- algebra --- lineaire algebra --- analyse (wiskunde) --- mathematische modellen --- wiskunde --- ingenieurswetenschappen --- numerieke analyse --- vloeistoffen
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