Books in Mathematics and applied mathematics

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.

CISSP® Study Guide

4th Edition
January 25, 2023
Joshua Feldman + 2 more
English
Paperback
9 7 8 0 4 4 3 1 8 7 3 4 6
eBook
9 7 8 0 4 4 3 1 8 7 3 5 3

CISSP® Study Guide, Fourth Edition provides the latest updates on CISSP® certification, the most prestigious, globally-recognized, vendor neutral exam for information security professionals. In this new edition, readers will learn about what's included in the newest version of the exam’s Common Body of Knowledge. The eight domains are covered completely and as concisely as possible. Each domain has its own chapter, including specially designed pedagogy to help readers pass the exam. Clearly stated exam objectives, unique terms/definitions, exam warnings, learning by example, hands-on exercises, and chapter ending questions help readers fully comprehend the material.

Hybrid Censoring Know-How

1st Edition
January 6, 2023
Narayanaswamy Balakrishnan + 2 more
English
Hardback
9 7 8 0 1 2 3 9 8 3 8 7 9
eBook
9 7 8 0 1 2 3 9 8 3 9 0 9

Hybrid Censoring Know-How: Models, Methods and Applications focuses on hybrid censoring, an important topic in censoring methodology with numerous applications. The readers will find information on the significance of censored data in theoretical and applied contexts, and descriptions of extensive data sets from life-testing experiments where these forms of data naturally occur. The existing literature on censoring methodology, life-testing procedures, and lifetime data analysis provides only hybrid censoring schemes, with little information about hybrid censoring methodologies, ideas, and statistical inferential methods. This book fills that gap, featuring statistical tools applicable to data from medicine, biology, public health, epidemiology, engineering, economics, and demography.

Boolean Systems

1st Edition
January 6, 2023
Serban E. Vlad
English
Paperback
9 7 8 0 3 2 3 9 5 4 2 2 8
eBook
9 7 8 0 3 2 3 9 5 5 6 9 0

The Boolean functions may be iterated either asynchronously, when their coordinates are computed independently of each other, or synchronously, when their coordinates are computed at the same time. In Boolean Systems: Topics in Asynchronicity, a book addressed to mathematicians and computer scientists interested in Boolean systems and their use in modelling, author Serban E. Vlad presents a consistent and original mathematical theory of the discrete-time Boolean asynchronous systems. The purpose of the book is to set forth the concepts of such a theory, resulting from the synchronous Boolean system theory and mostly from the synchronous real system theory, by analogy, and to indicate the way in which known synchronous deterministic concepts generate new asynchronous nondeterministic concepts. The reader will be introduced to the dependence on the initial conditions, periodicity, path-connectedness, topological transitivity, and chaos. A property of major importance is invariance, which is present in five versions. In relation to it, the reader will study the maximal invariant subsets, the minimal invariant supersets, the minimal invariant subsets, connectedness, separation, the basins of attraction, and attractors. The stability of the systems and their time-reversal symmetry end the topics that refer to the systems without input. The rest of the book is concerned with input systems. The most consistent chapters of this part of the book refer to the fundamental operating mode and to the combinational systems (systems without feedback). The chapter Wires, Gates, and Flip-Flops presents a variety of applications. The first appendix addresses the issue of continuous time, and the second one sketches the important theory of Daizhan Cheng, which is put in relation to asynchronicity. The third appendix is a bridge between asynchronicity and the symbolic dynamics of Douglas Lind and Brian Marcus.

The Nuts and Bolts of Proofs

5th Edition
January 5, 2023
Antonella Cupillari
English
Paperback
9 7 8 0 3 2 3 9 9 0 2 0 2
eBook
9 7 8 0 3 2 3 9 9 0 2 1 9

The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs, Fifth Edition provides basic logic of mathematical proofs and how they work. The book offers techniques for both reading and writing proofs, discusses techniques in proving if/then statements by contrapositive and proofing by contradiction, includes the negation statement, and/or, examines various theorems, such as the if and only-if, equivalence theorems, existence theorems, and the uniqueness theorems. In addition, the use of counter examples, mathematical induction, composite statements including multiple hypothesis and multiple conclusions, and equality of numbers are also covered. The book also provides mathematical topics for practicing proof techniques. Included here are the Cartesian products, indexed families, functions, and relations. The last chapter of the book provides review exercises on various topics. Undergraduate students in engineering and physical science will find this book accessible as well as invaluable.

Algebraic Theory for True Concurrency

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

Algebraic Theory for True Concurrency presents readers with the algebraic laws for true concurrency. Parallelism and concurrency are two of the core concepts within computer science. This book covers the different realms of concurrency, which enables programs, algorithms or problems to be broken out into order-independent or partially ordered components to improve computation and execution speed. There are two primary approaches for executing concurrency: interleaving concurrency and true concurrency. The main representative of interleaving concurrency is bisimulation/rooted branching bisimulation equivalences which is also readily explored. This work eventually founded the comprehensive axiomatization modulo bisimulation equivalence -- ACP (Algebra of Communicating Processes).The other approach to concurrency is true concurrency. Research on true concurrency is active and includes many emerging applications. First, there are several truly concurrent bisimulation equivalences, including: pomset bisimulation equivalence, step bisimulation equivalence, history-preserving (hp-) bisimulation equivalence, and hereditary history-preserving (hhp-) bisimulation equivalence, the most well-known truly concurrent bisimulation equivalence.

Discrete Mathematics

1st Edition
April 29, 2022
Ali Grami
English
Paperback
9 7 8 0 1 2 8 2 0 6 5 6 0
eBook
9 7 8 0 1 2 8 2 0 9 0 9 7

Discrete Mathematics: Essentials and Applications offers a comprehensive survey of the area, particularly concentrating on the basic principles and applications of Discrete Mathematics. This up-to-date text provides proofs of significance, keeping the focus on numerous relevant examples and many pertinent applications. Written in a simple and clear tone, the title features insightful descriptions and intuitive explanations of all complex concepts and ensures a thorough understanding of the subject matter.

Edge/Fog Computing Paradigm: The Concept, Platforms and Applications.

1st Edition
Volume 127
April 21, 2022
Pethuru Raj + 2 more
English
Hardback
9 7 8 0 1 2 8 2 4 5 0 6 4
eBook
9 7 8 0 1 2 8 2 4 5 0 7 1

Advances in Computers, Volume 127 presents innovations in computer hardware, software, theory, design and applications, with this updated volume including new chapters on Edge AI, Edge Computing, Edge Analytics, Edge Data Analytics, Edge Native Applications, Edge Platforms, Edge Computing, IoT, Internet of Things, etc.

Advanced Differential Equations

1st Edition
April 13, 2022
Youssef N. Raffoul
English
Paperback
9 7 8 0 3 2 3 9 9 2 8 0 0
eBook
9 7 8 0 3 2 3 9 9 2 8 1 7

Advanced Differential Equations provides coverage of high-level topics in ordinary differential equations and dynamical systems. The book delivers difficult material in an accessible manner, utilizing easier, friendlier notations and multiple examples. Sections focus on standard topics such as existence and uniqueness for scalar and systems of differential equations, the dynamics of systems, including stability, with examples and an examination of the eigenvalues of an accompanying linear matrix, as well as coverage of existing literature. From the eigenvalues' approach, to coverage of the Lyapunov direct method, this book readily supports the study of stable and unstable manifolds and bifurcations. Additional sections cover the study of delay differential equations, extending from ordinary differential equations through the extension of Lyapunov functions to Lyapunov functionals. In this final section, the text explores fixed point theory, neutral differential equations, and neutral Volterra integro-differential equations.

Elementary Linear Algebra

6th Edition
April 5, 2022
Stephen Andrilli + 1 more
English
Paperback
9 7 8 0 1 2 8 2 2 9 7 8 1
eBook
9 7 8 0 3 2 3 9 8 4 2 6 3

*Textbook and Academic Authors Association (TAA) Textbook Excellence Award Winner, 2024*Elementary Linear Algebra, Sixth Edition provides a solid introduction to both the computational and theoretical aspects of linear algebra, covering many important real-world applications, including graph theory, circuit theory, Markov chains, elementary coding theory, least-squares polynomials and least-squares solutions for inconsistent systems, differential equations, computer graphics and quadratic forms. In addition, many computational techniques in linear algebra are presented, including iterative methods for solving linear systems, LDU Decomposition, the Power Method for finding eigenvalues, QR Decomposition, and Singular Value Decomposition and its usefulness in digital imaging.

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

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Sequences series summability

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Several complex variables and analytic spaces

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Systems theory control

Topological groups lie groups

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