Books in Mathematics and applied mathematics

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
9 7 8 0 4 4 3 2 1 5 6 6 7
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
9 7 8 0 4 4 3 1 8 7 8 3 4

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
9 7 8 0 4 4 3 1 8 7 0 5 6
eBook
9 7 8 0 4 4 3 1 8 7 0 6 3

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
9 7 8 0 3 2 3 9 1 7 8 4 1
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.

Advances in Computers

1st Edition
Volume 130
March 1, 2023
Ali Hurson
English
Hardback
9 7 8 0 4 4 3 1 9 2 9 6 8
eBook
9 7 8 0 4 4 3 1 9 2 9 7 5

The 130th volume is an eclectic volume inspired by recent issues of interest in research and development in computer science and computer engineering. The volume is a collection of five chapters.

Linear Algebra

4th Edition
February 27, 2023
Richard Bronson + 3 more
English
Paperback
9 7 8 0 1 2 8 2 3 4 7 0 9
eBook
9 7 8 0 3 2 3 9 8 4 2 7 0

Linear Algebra: Algorithms, Applications, and Techniques, Fourth Edition offers a modern and algorithmic approach to computation while providing clear and straightforward theoretical background information. The book guides readers through the major applications, with chapters on properties of real numbers, proof techniques, matrices, vector spaces, linear transformations, eigen values, and Euclidean inner products. Appendices on Jordan canonical forms and Markov chains are included for further study. This useful textbook presents broad and balanced views of theory, with key material highlighted and summarized in each chapter. To further support student practice, the book also includes ample exercises with answers and hints.

Numerical Control: Part B

1st Edition
Volume 24
February 20, 2023
Emmanuel Trélat + 1 more
English
Hardback
9 7 8 0 3 2 3 8 5 0 6 0 5
eBook
9 7 8 0 3 2 3 8 5 8 2 6 7

Numerical Control: Part B, Volume 24 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Control problems in the coefficients and the domain for linear elliptic equations, Computational approaches for extremal geometric eigenvalue problems, Non-overlapping domain decomposition in space and time for PDE-constrained optimal control problems on networks, Feedback Control of Time-dependent Nonlinear PDEs with Applications in Fluid Dynamics, Stabilization of the Navier-Stokes equations - Theoretical and numerical aspects, Reconstruction algorithms based on Carleman estimates, and more. Other sections cover Discrete time formulations as time discretization strategies in data assimilation, Back and forth iterations/Time reversal methods, Unbalanced Optimal Transport: from Theory to Numerics, An ADMM Approach to the Exact and Approximate Controllability of Parabolic Equations, Nonlocal balance laws -- an overview over recent results, Numerics and control of conservation laws, Numerical approaches for simulation and control of superconducting quantum circuits, and much more.

Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics

1st Edition
February 11, 2023
Florentin Smarandache + 1 more
English
Paperback
9 7 8 0 3 2 3 9 9 4 5 6 9
eBook
9 7 8 0 3 2 3 9 9 4 5 7 6

Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics investigates and presents the many applications that have arisen in the last ten years using neutrosophic statistics in bioinformatics, medicine, agriculture and cognitive science. This book will be very useful to the scientific community, appealing to audiences interested in fuzzy, vague concepts from which uncertain data are collected, including academic researchers, practicing engineers and graduate students. Neutrosophic statistics is a generalization of classical statistics. In classical statistics, the data is known, formed by crisp numbers. In comparison, data in neutrosophic statistics has some indeterminacy. This data may be ambiguous, vague, imprecise, incomplete, and even unknown. Neutrosophic statistics refers to a set of data, such that the data or a part of it are indeterminate in some degree, and to methods used to analyze the data.

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Books in Mathematics and applied mathematics

Picture Fuzzy Logic and Its Applications in Decision Making Problems

Advances in Computers

Discrete Mathematics With Logic

Partial Differential Equations and Applications

Automata Theory and Formal Languages

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

Advances in Computers

Linear Algebra

Numerical Control: Part B

Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics

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