Books in Mathematics and applied mathematics

Introductory Differential Equations

6th Edition
December 21, 2023
Martha L. Abell + 1 more
English
Paperback
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eBook
9 7 8 0 4 4 3 1 6 0 5 9 2

**2025 Textbook and Academic Authors Association (TAA) McGuffey Longevity Award Winner**Introductory Differential Equations, Sixth Edition provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies. The book's accessible explanations and many robust sample problems are appropriate for a first semester course in introductory ordinary differential equations (including Laplace transforms), for a second course in Fourier series and boundary value problems, and for students with no background on the subject.

Handbook of Truly Concurrent Process Algebra

1st Edition
December 1, 2023
Yong Wang
English
Paperback
9 7 8 0 4 4 3 2 1 5 1 5 5
eBook
9 7 8 0 4 4 3 2 1 5 1 6 2

Handbook of Truly Concurrent Process Algebra provides readers with a detailed and in-depth explanation of the algebra used for concurrent computing. This complete handbook is divided into five Parts: Algebraic Theory for Reversible Computing, Probabilistic Process Algebra for True Concurrency, Actors – A Process Algebra-Based Approach, Secure Process Algebra, and Verification of Patterns. The author demonstrates actor models which are captured using the following characteristics: Concurrency, Asynchrony, Uniqueness, Concentration, Communication Dependency, Abstraction, and Persistence. Every pattern is detailed according to a regular format to be understood and utilized easily, which includes introduction to a pattern and its verifications.Patter... of the vertical domains are also provided, including the domains of networked objects and resource management. To help readers develop and implement the software patterns scientifically, the pattern languages are also presented.

Fundamentals of Data Science

1st Edition
November 17, 2023
Jugal K. Kalita + 2 more
English
Paperback
9 7 8 0 3 2 3 9 1 7 7 8 0
eBook
9 7 8 0 3 2 3 9 7 2 6 3 5

Fundamentals of Data Science: Theory and Practice presents basic and advanced concepts in data science along with real-life applications. The book provides students, researchers and professionals at different levels a good understanding of the concepts of data science, machine learning, data mining and analytics. Users will find the authors’ research experiences and achievements in data science applications, along with in-depth discussions on topics that are essential for data science projects, including pre-processing, that is carried out before applying predictive and descriptive data analysis tasks and proximity measures for numeric, categorical and mixed-type data. The book's authors include a systematic presentation of many predictive and descriptive learning algorithms, including recent developments that have successfully handled large datasets with high accuracy. In addition, a number of descriptive learning tasks are included.

Optical Communications from a Fourier Perspective

1st Edition
November 17, 2023
Palle Jeppesen + 1 more
English
Paperback
9 7 8 0 4 4 3 2 3 8 0 0 0
eBook
9 7 8 0 4 4 3 2 3 8 0 1 7

Optical Communications from a Fourier Perspective: Fourier Theory and Optical Fiber Devices and Systems covers Fourier theory and signal analysis over photonic components, including time lenses in optical communication. Sections cover wave propagation in optical waveguides based on Maxwell equations and the nonlinear Schrödinger equation. Optical Fourier transform in the form of time lens is covered, for example in modulation format conversion and spectrum magnification, and couplers and their use for optical discrete Fourier transformation are also discussed. Other important subjects are discussed such as shot noise, thermal noise and also the basics of four wave mixing in relation to time lenses. Detailed derivations and a deeper background for the chapters are provided in appendices where appropriate. Some of the theory is more generally applicable beyond optical communication and is of relevance also for communications engineering. The Fourier theory dimension of the book presents the relationship between Fourier series and Fourier integrals and also the related Laplace transform.

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.

Advances in Computers

1st Edition
Volume 131
August 25, 2023
Ali Hurson
English
Hardback
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eBook
9 7 8 0 4 4 3 2 1 5 6 7 4

Advances in Computers, Volume 131 is an eclectic volume inspired by recent issues of interest in research and development in computer science and computer engineering. Chapters in this new release include eHealth: enabling technologies, opportunities, and challenges, A Perspective on Cancer Data Management using Blockchain: Progress and Challenges, Cyber Risks on IoT Platforms and Zero Trust Solutions, A Lightweight Fingerprint Liveness Detection Method for Fingerprint Authentication System, and Collaborating Fog/Edge Computing with Industry 4.0 – Architecture, Challenges and Benefits, Raspberry Pi-s for Enterprise Cybersecurity Applications.

Discrete Mathematics With Logic

1st Edition
July 20, 2023
Martin Milanic + 2 more
English
Paperback
9 7 8 0 4 4 3 1 8 7 8 2 7
eBook
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Discrete Mathematics provides key concepts and a solid, rigorous foundation in mathematical reasoning. Appropriate for undergraduate as well as a starting point for more advanced class, the resource offers a logical progression through key topics without assuming any background in algebra or computational skills and without duplicating what they will learn in higher level courses. The book is designed as an accessible introduction for students in mathematics or computer science as it explores questions that test the understanding of proof strategies, such as mathematical induction. For students interested to dive into this subject, the text offers a rigorous introduction to mathematical thought through useful examples and exercises.

Partial Differential Equations and Applications

1st Edition
June 28, 2023
Hong-Ming Yin
English
Paperback
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eBook
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Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences offers a unique approach to this key subject by connecting mathematical principles to the latest research advances in select topics. Beginning with very elementary PDEs, such as classical heat equations, wave equations and Laplace equations, the book focuses on concrete examples. It gives students basic skills and techniques to find explicit solutions for partial differential equations. As it progresses, the book covers more advanced topics such as the maximum principle and applications, Green’s representation, Schauder’s theory, finite-time blowup, and shock waves. By exploring these topics, students gain the necessary tools to deal with research topics in their own fields, whether proceeding in math or engineering areas.

Automata Theory and Formal Languages

1st Edition
April 28, 2023
Pallavi Vijay Chavan + 1 more
English
Paperback
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eBook
9 7 8 0 3 2 3 9 7 2 1 7 8

Automata Theory and Formal Languages presents the difficult concepts of automata theory in a straightforward manner, including discussions on diverse concepts and tools that play major roles in developing computing machines, algorithms and code. Automata theory includes numerous concepts such as finite automata, regular grammar, formal languages, context free and context sensitive grammar, push down automata, Turing machine, and decidability, which constitute the backbone of computing machines. This book enables readers to gain sufficient knowledge and experience to construct and solve complex machines. Each chapter begins with key concepts followed by a number of important examples that demonstrate the solution. The book explains concepts and simultaneously helps readers develop an understanding of their application with real-world examples, including application of Context Free Grammars in programming languages and Artificial Intelligence, and cellular automata in biomedical problems.

Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law

1st Edition
April 21, 2023
Ilwoo Cho + 1 more
English
Paperback
9 7 8 0 4 4 3 1 5 1 7 5 0
eBook
9 7 8 0 4 4 3 1 5 1 7 6 7

In Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law, the authors consider the so-called free Hilbert spaces, which are the Hilbert spaces induced by the usual l2 Hilbert spaces and operators acting on them. The construction of these operators itself is interesting and provides new types of Hilbert-space operators. Also, by considering spectral-theoretic properties of these operators, the authors illustrate how “free-Hilbert-space” Operator Theory is different from the classical Operator Theory. More interestingly, the authors demonstrate how such operators affect the semicircular law induced by the ONB-vectors of a fixed free Hilbert space. Different from the usual approaches, this book shows how “inside” actions of operator algebra deform the free-probabilistic information—in particular, the semicircular law.

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