Mathematics of Discrete Structures for Computer Science

Combining different perspectives from materials science, engineering, and computer science, this reference provides a unified view of the various aspects necessary for the successful realization of in

Networks constitute the backbone of complex systems, from the human brain to computer communications, transport infrastructures to online social systems and metabolic reactions to financial markets. Characterising their structure improves our understanding of the physical, biological, economic and social phenomena that shape our world. Rigorous and thorough, this textbook presents a detailed overview of the new theory and methods of network science. Covering algorithms for graph exploration, node ranking and network generation, among others, the book allows students to experiment with network models and real-world data sets, providing them with a deep understanding of the basics of network theory and its practical applications. Systems of growing complexity are examined in detail, challenging students to increase their level of skill. An engaging presentation of the important principles of network science makes this the perfect reference for researchers and undergraduate and graduate s

This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the authors' notes at the Department of Mathematics, National Chung Cheng University, it contains material sufficient for three semesters of study. It begins with a description of the algebraic structures of the ring of integers and the field of rational numbers. Abstract groups are then introduced. Technical results such as Lagrange's theorem and Sylow's theorems follow as applications of group theory. The theory of rings and ideals forms the second part of this textbook, with the ring of integers, the polynomial rings and matrix rings as basic examples. Emphasis will be on factorization in a factorial domain. The final part of the book focuses on field extensions and Galois theory to illustrate the correspondence between Galois groups and splitting fields of separable polynomials.Three whole new chapters are added to this second edition. Group action is introduced to give a more i

Fluid mechanics is a branch of classical physics that has a rich tradition in applied mathematics and numerical methods. It is at work virtually everywhere, from nature to technology. This broad and fundamental coverage of computational fluid dynamics (CFD) begins with a presentation of basic numerical methods and flows into a rigorous introduction to the subject. A heavy emphasis is placed on the exploration of fluid mechanical physics through CFD, making this book an ideal text for any new course that simultaneously covers intermediate fluid mechanics and computation. Ample examples, problems and computer exercises are provided to allow students to test their understanding of a variety of numerical methods for solving flow physics problems, including the point-vortex method, numerical methods for hydrodynamic stability analysis, spectral methods and traditional CFD topics.

Fluid mechanics is a branch of classical physics that has a rich tradition in applied mathematics and numerical methods. It is at work virtually everywhere, from nature to technology. This broad and fundamental coverage of computational fluid dynamics (CFD) begins with a presentation of basic numerical methods and flows into a rigorous introduction to the subject. A heavy emphasis is placed on the exploration of fluid mechanical physics through CFD, making this book an ideal text for any new course that simultaneously covers intermediate fluid mechanics and computation. Ample examples, problems and computer exercises are provided to allow students to test their understanding of a variety of numerical methods for solving flow physics problems, including the point-vortex method, numerical methods for hydrodynamic stability analysis, spectral methods and traditional CFD topics.

Knowledge of the structure of the cosmos, Plato suggests, is important in organizing a human community which aims at happiness. This book investigates this theme in Plato's later works, the Timaeus, Statesman, and Laws. Dominic J. O'Meara proposes fresh readings of these texts, starting from the religious festivals and technical and artistic skills in the context of which Plato elaborates his cosmological and political theories, for example the Greek architect's use of models as applied by Plato in describing the making of the world. O'Meara gives an account of the model of which Plato's world is an image; of the mathematics used in producing the world; and of the relation between the cosmic model and the political science and legislation involved in designing a model state in the Laws. Non-specialist scholars and students will be able to access and profit from the book.

Perfect for fans of The Babysitters Club and anyone interested in computer science, this series is published in partnership with the organization Girls Who Code!Sophia and her coding club BFFs ha

Astronomy has become data-driven in ways that are both quantitatively and qualitatively different from the past: data structures are not simple; procedures to gain astrophysical insights are not obvious; and the informational content of the data sets is so high that archival research and data mining are not merely convenient, but obligatory, as researchers who obtain the data can only extract a small fraction of the science enabled by it. IAU Symposium 325 took place at a crucial stage in the development of the field, when many efforts have carried significant achievements, but the widespread groups have just begun to effectively communicate across specialties, to gather and assimilate their achievements, and to consult cross-disciplinary experts. Bringing together astronomers involved in surveys and large simulation projects, computer scientists, data scientists, and companies, this volume showcases their fruitful exchange of ideas, methods, software, and technical capabilities.

Do you need to know what technique to use to evaluate the reliability of an engineered system? This self-contained guide provides comprehensive coverage of all the analytical and modeling techniques currently in use, from classical non-state and state space approaches, to newer and more advanced methods such as binary decision diagrams, dynamic fault trees, Bayesian belief networks, stochastic Petri nets, non-homogeneous Markov chains, semi-Markov processes, and phase type expansions. Readers will quickly understand the relative pros and cons of each technique, as well as how to combine different models together to address complex, real-world modeling scenarios. Numerous examples, case studies and problems provided throughout help readers put knowledge into practice, and a solutions manual and Powerpoint slides for instructors accompany the book online. This is the ideal self-study guide for students, researchers and practitioners in engineering and computer science.

As the outcome of the Dagstuhl Seminar 15481 on Crowdsourcing and Human-Centered Experiments, this book is a primer for computer science researchers who intend to use crowdsourcing technology for huma

The Program for International Student Assessment (PISA) is an international achievement measure that assesses 15-year-old student performance in the areas of reading, mathematics, and science literacy

Perfect for back-to-school, summer bridge and after school activity Part of a series where each book stresses an area of STEM (Science, Technology, Engineering and Mathematics) There are no other acti

Perfect for back-to-school, summer bridge and after school activity Part of a series where each book stresses an area of STEM (Science, Technology, Engineering and Mathematics) There are no other act

In a detailed introduction to intelligent vehicles for manufacturing applications, Bandyopadhyay discusses various aspects of intelligent vehicles, including the structures and characteristics of d

Noting that social network analysis falls within the realm of big data computing, computer and information scientists synthesize recent research in using graph theory for analyzing large-scale soc

Computer scientists and communications engineers offer a reference for researchers and professionals associated with the design, realization, and deployment of image and video processing systems m

Two central problems in computer science are P vs NP and the complexity of matrix multiplication. The first is also a leading candidate for the greatest unsolved problem in mathematics. The second is of enormous practical and theoretical importance. Algebraic geometry and representation theory provide fertile ground for advancing work on these problems and others in complexity. This introduction to algebraic complexity theory for graduate students and researchers in computer science and mathematics features concrete examples that demonstrate the application of geometric techniques to real world problems. Written by a noted expert in the field, it offers numerous open questions to motivate future research. Complexity theory has rejuvenated classical geometric questions and brought different areas of mathematics together in new ways. This book will show the beautiful, interesting, and important questions that have arisen as a result.

This volume contains nine survey articles which provide expanded accounts of plenary seminars given at the British Combinatorial Conference at the University of Strathclyde in July 2017. This biennial conference is a well-established international event attracting speakers from around the world. Written by internationally recognised experts in the field, these articles represent a timely snapshot of the state of the art in the different areas of combinatorics. Topics covered include the robustness of graph properties, the spt-function of Andrews, switching techniques for edge decompositions of graphs, monotone cellular automata, and applications of relative entropy in additive combinatorics. The book will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.

The prophet Muhammad and the early Islamic community radically redefined the concept of time that they had inherited from earlier religions' beliefs and practices. This new temporal system, based on a lunar calendar and era, was complex and required sophistication and accuracy. From the ninth to the sixteenth centuries, it was the Muslim astronomers of the Ottoman, Safavid and Mughal empires who were responsible for the major advances in mathematics, astronomy and astrology. This fascinating study compares the Islamic concept of time, and its historical and cultural significance, across these three great empires. Each empire, while mindful of earlier models, created a new temporal system, fashioning a new solar calendar and era and a new round of rituals and ceremonies from the cultural resources at hand. This book contributes to our understanding of the Muslim temporal system and our appreciation of the influence of Islamic science on the Western world.

Perfect for fans of The Babysitters Club and anyone interested in computer science, this series is published in partnership with the organization Girls Who Code!Lucy is super excited about coding

Introduction to Modeling and Simulation with MATLAB and Python is intended for students and professionals in science, social science, and engineering that wish to learn the principles of computer mode

Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; in-depth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen–Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' non-additivity theorem. This richly-illustrated book will be useful to a broad audience of graduates and researchers inter

A comprehensive account of the physical foundations of collision and impact phenomena and their applications in a multitude of engineering disciplines. In-depth explanations are included to reveal the unifying features of collision phenomena in both liquids and solids, and to apply them to disciplines including theoretical and applied mechanics, physics and applied mathematics, materials science, aerospace, mechanical and chemical engineering, and terminal ballistics. Covering a range of examples from drops, jets, and sprays, to seaplanes and ballistic projectiles, and detailing a variety of theoretical, numerical, and experimental tools that can be used in developing new models and approaches, this is an ideal resource for students, researchers, and practicing engineers alike.

In programming courses, using the different syntax of multiple languages, such as C plus plus, Java, PHP, and Python, for the same abstraction often confuses students new to computer science. Introduc

Originally published in 1917, as the second edition of a 1912 original, this textbook presents a detailed and contained introduction on statics written by renowned professor and author S. L. Loney (1860–1939). Primarily aimed at undergraduate students of science, engineering and mathematics, this book considers statics from the very beginning and assumes only elementary prior knowledge of the ordinary processes of the differential and integral calculus and in some articles the notions of solid geometry. Multiple examples are presented throughout and are intended to be useful for students of varying capacity. Chapter titles include, 'Centre of gravity', 'Stable and unstable equilibrium' and 'Thin spherical shells and solid sphere'. Multiple diagrams are included for reference. This accessible book provides an ideal and inspiring introduction to statics and will be of great value to specialists in the field as well as to anyone with an interest in the history of education.

For one-semester Anatomy & Physiology courses. Focus on the essential what, how, & why of human anatomy & physiologyWith the 12th Edition of Essentials of Human Anatomy & Physiology, science educator Suzanne Keller joins bestselling author Elaine Marieb in helping learners focus on the essential What, How, & Why of A&P, without getting sidetracked in unnecessary details. Thoroughly updated with dozens of new figures, photos, and current information on medical recommendations and terminology, the 12th Edition continues to set the standard for brief, accessible one-semester A&P texts.The authors' hallmark clear and friendly writing style has been strengthened with familiar analogies and abundant mnemonic cues that help students learn and remember concepts. Continuing to offer just the right balance of anatomy, physiology, and clinical coverage, engaging new chapter previews help learners hone in on what structures and functions they are studying, how they func

This book is aimed at undergraduate and graduate students in applied mathematics or computer science, as a tool for solving real-world design problems. The present work covers fundamentals in mul

This book presents a broad spectrum of problems related to statistics, mathematics, teaching, social science, and economics as well as a range of tools and techniques that can be used to solve these p

Contributing to the literature on using information and communication technology for sustainable development, computer and information scientists review applications and case studies in the use of

Graph theory goes back several centuries and revolves around the study of graphs--mathematical structures showing relations between objects. With applications in biology, computer science, transportat

Many studies relate modern science to modern political and economic thought. Using one shift in order to explain the other, however, has begged the question of modernity's origins. New scientific and political reasoning emerged simultaneously as controversial forms of probabilistic reasoning. Neither could ground the other. They both rejected logical systems in favor of shifting, incomplete, and human-oriented forms of knowledge which did not meet accepted standards of speculative science. This study follows their shared development by tracing one key political stratagem for linking human desires to the advancement of knowledge: the collaborative wish list. Highly controversial at the beginning of the seventeenth century, charismatic desiderata lists spread across Europe, often deployed against traditional sciences. They did not enter the academy for a century but eventually so shaped the deep structures of research that today this once controversial genre appears to be a musty and eve

Linear algebra is a fundamental tool in many fields, including mathematics and statistics, computer science, economics, and the physical and biological sciences. This undergraduate textbook offers a complete second course in linear algebra, tailored to help students transition from basic theory to advanced topics and applications. Concise chapters promote a focused progression through essential ideas, and contain many examples and illustrative graphics. In addition, each chapter contains a bullet list summarising important concepts, and the book includes over 600 exercises to aid the reader's understanding. Topics are derived and discussed in detail, including the singular value decomposition, the Jordan canonical form, the spectral theorem, the QR factorization, normal matrices, Hermitian matrices (of interest to physics students), and positive definite matrices (of interest to statistics students).

Perspectives on Patentable Subject Matter brings together leading scholars to offer diverse perspectives on the question of which types of subject matter are even eligible for patent protection, setting aside the widely known requirement that a claimed invention avoid the prior art and be adequately disclosed. Some leading commentators and policy-making bodies and individuals envision patentable subject matter to include anything under the sun made by humans, others envision a range of restrictions for particular fields of endeavor, from business methods and computer software to matters involving life, such as DNA and methods for screening or treating disease. Employing approaches that are both theoretically rigorous and grounded in the real world, this book is well suited for practicing lawyers, managers, lawmakers and analysts, as well as academics researching or teaching in law schools, business schools, public policy schools, and in economics and political science departments.

Quantum annealing is a new-generation tool of information technology, which helps in solving combinatorial optimization problems with high precision, based on the concepts of quantum statistical physics. Detailed discussion on quantum spin glasses and its application in solving combinatorial optimization problems is required for better understanding of quantum annealing concepts. Fulfilling this requirement, the book highlights recent development in quantum spin glasses including Nishimori line, replica method and quantum annealing methods along with the essential principles. Separate chapters on simulated annealing, quantum dynamics and classical spin models are provided for enhanced learning. Important topics including adiabatic quantum computers and quenching dynamics are discussed in detail. This text will be useful for students of quantum computation, quantum information, statistical physics and computer science.

Written in a tutorial style, this comprehensive guide follows a structured approach explaining cloud techniques, models and platforms. Popular cloud services such as Amazon, Google and Microsoft Azure are explained in the text. The security risks and challenges of cloud computing are discussed in detail with useful examples. Emerging trends including mobile cloud computing and internet of things are discussed in the book for the benefit of the readers. Numerous review questions, multiple choice exercises and case studies facilitate enhanced understanding. This textbook is ideal for undergraduate and graduate students of computer science engineering, and information technology.

This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute of Mathematics and its Applications

Computer scientists and electrical engineers present a reference on designing secure wireless networks in the context of current network and security technologies. Their topics include a framework

Quantum theory is the soul of theoretical physics. It is not just a theory of specific physical systems, but rather a new framework with universal applicability. This book shows how we can reconstruct the theory from six information-theoretical principles, by rebuilding the quantum rules from the bottom up. Step by step, the reader will learn how to master the counterintuitive aspects of the quantum world, and how to efficiently reconstruct quantum information protocols from first principles. Using intuitive graphical notation to represent equations, and with shorter and more efficient derivations, the theory can be understood and assimilated with exceptional ease. Offering a radically new perspective on the field, the book contains an efficient course of quantum theory and quantum information for undergraduates. It is aimed at researchers, professionals, and students in physics, computer science and philosophy, as well as the curious outsider seeking a deeper understanding of the theo

The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmi

This comprehensive yet accessible textbook is an ideal resource for undergraduate and graduate students taking their first course in demography. Clearly explaining technical demographic issues without using extensive mathematics, Population and Society is sociologically oriented, but incorporates a variety of social sciences in its approach, including economics, political science, geography, and history. It highlights the significant impact of decision-making at the individual level - especially regarding fertility, but also mortality and migration - on population change. The text engages students by providing numerous examples of demography's practical applications in their lives, and demonstrates the extent of its relevance by examining a wide selection of data from the United States, Africa, Asia, and Europe. This thoroughly revised edition includes four new chapters, covering topics such as race and sexuality, and encourages students to consider the broad implications of population