Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

Books Journals

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.

Principles of Big Graph: In-depth Insight

1st Edition
Volume 128
January 24, 2023
Ripon Patgiri + 2 more
English
Hardback
9 7 8 0 3 2 3 8 9 8 1 0 2
eBook
9 7 8 0 3 2 3 8 9 8 1 1 9

Principles of Big Graph: In-depth Insight, Volume 128 in the Advances in Computer series, highlights new advances in the field with this new volume presenting interesting chapters on a variety of topics, including CESDAM: Centered subgraph data matrix for large graph representation, Bivariate, cluster and suitability analysis of NoSQL Solutions for big graph applications, An empirical investigation on Big Graph using deep learning, Analyzing correlation between quality and accuracy of graph clustering, geneBF: Filtering protein-coded gene graph data using bloom filter, Processing large graphs with an alternative representation, MapReduce based convolutional graph neural networks: A comprehensive review. Fast exact triangle counting in large graphs using SIMD acceleration, A comprehensive investigation on attack graphs, Qubit representation of a binary tree and its operations in quantum computation, Modified ML-KNN: Role of similarity measures and nearest neighbor configuration in multi label text classification on big social network graph data, Big graph based online learning through social networks, Community detection in large-scale real-world networks, Power rank: An interactive web page ranking algorithm, GA based energy efficient modelling of a wireless sensor network, The major challenges of big graph and their solutions: A review, and An investigation on socio-cyber crime graph.

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.

Advancements in Bayesian Methods and Implementations

1st Edition
Volume 47
September 30, 2022
Alastair G Young + 2 more
English
Hardback
9 7 8 0 3 2 3 9 5 2 6 8 2
eBook
9 7 8 0 3 2 3 9 5 2 6 9 9

Advancements in Bayesian Methods and Implementation, Volume 47 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters on a variety of timely topics, including Fisher Information, Cramer-Rao and Bayesian Paradigm, Compound beta binomial distribution functions, MCMC for GLMMS, Signal Processing and Bayesian, Mathematical theory of Bayesian statistics where all models are wrong, Machine Learning and Bayesian, Non-parametric Bayes, Bayesian testing, and Data Analysis with humans, Variational inference or Functional horseshoe, Generalized Bayes.

A Mathematical Approach to Special Relativity

1st Edition
September 9, 2022
Ahmad Shariati
English
Paperback
9 7 8 0 3 2 3 9 9 7 0 8 9
eBook
9 7 8 0 3 2 3 9 9 7 0 9 6

A Mathematical Approach to Special Relativity introduces the mathematical formalisms of special and general relativity. Developed from the author’s experience teaching physics to students across all levels, the valuable resource introduces key concepts, building in complexity and using increasingly advanced mathematical tools as it progresses. Without assuming a background in calculus, the text begins with symmetry, before delving more deeply into Galilean relativity. Throughout, the book provides examples and useful "Guides to the Literature." This unique text emphasizes the experimental consequences and verifications of the underpinning theory in order to provide students with a solid foundation in this key area.

Environmental Data Analysis with MatLab or Python

3rd Edition
August 14, 2022
William Menke
English
Paperback
9 7 8 0 3 2 3 9 5 5 7 6 8
eBook
9 7 8 0 3 2 3 9 5 5 7 7 5

Environmental Data Analysis with MATLAB, Third Edition, is a new edition that expands fundamentally on the original with an expanded tutorial approach, more clear organization, new crib sheets, and problem sets providing a clear learning path for students and researchers working to analyze real data sets in the environmental sciences. The work teaches the basics of the underlying theory of data analysis and then reinforces that knowledge with carefully chosen, realistic scenarios, including case studies in each chapter. The new edition is expanded to include applications to Python, an open source software environment. Significant content in Environmental Data Analysis with MATLAB, Third Edition is devoted to teaching how the programs can be effectively used in an environmental data analysis setting. This new edition offers chapters that can both be used as self-contained resources or as a step-by-step guide for students, and is supplemented with data and scripts to demonstrate relevant use cases.

Geometry and Statistics

1st Edition
Volume 46
June 23, 2022
Frank Nielsen + 2 more
English
Hardback
9 7 8 0 3 2 3 9 1 3 4 5 4
eBook
9 7 8 0 3 2 3 9 1 3 4 6 1

Geometry and Statistics, Volume 46 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors.

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