Mathematics of Discrete Structures for Computer Science

This book is ideal for a first or second year discrete mathematics course for mathematics, engineering, and computer science majors. The author has extensively class-tested early conceptions of the book over the years and supplements mathematical arguments with informal discussions to aid readers in understanding the presented topics. "Safe" - that is, paradox-free - informal set theory is introduced following on the heels of Russell's Paradox as well as the topics of finite, countable, and uncountable sets with an exposition and use of Cantor's diagonalisation technique. Predicate logic "for the user" is introduced along with axioms and rules and extensive examples. Partial orders and the minimal condition are studied in detail with the latter shown to be equivalent to the induction principle. Mathematical induction is illustrated with several examples and is followed by a thorough exposition of inductive definitions of functions and sets. Techniques for solving recurrence relations i

Poems about historical women in STEM fields.You know you want to read about Mary Anning’s seashells by the seashore, Elizabeth Blackwell losing her eye, Bertha Pallan’s side hustle in the circus, Honor Fell bringing a ferret to her sister’s wedding, Annie Jump Cannon cataloguing stars, Mary G. Ross stumping the panellists on What’s My Line, Alice Ball’s cure for leprosy, and Roberta Eike stowing away on a research vessel. Some of these women triumphed spectacularly. Others barely survived. Carefully researched, emotional, and witty, these poems about historical women in science, technology, engineering, mathematics, and medicine will make you laugh out loud and break your heart in just a few lines. Mathematics for Ladies offers a wickedly funny and feminist take on the lives and work of women who resisted their parents, their governments, the rules and conventions of their times, and sometimes situations as simple and infuriating as a lack of a women’s bathroom in a science building o

A comprehensive guide to the AP Computer Science Principles Exam, with detailed content review and 3 full-length practice tests.AP Computer Science Principles Prep, 2023 gives students everything they need for this exam, including thorough subject reviews of all relevant topics, techniques to help them strategically prepare, and plenty of drills and practice questions to hone their skills. This is a brand new book for an exam that is growing in popularity. More than 96,000 students took this test in 2019.

A new version of the classic and widely used text adapted for the JavaScript programming language.Since the publication of its first edition in 1984 and its second edition in 1996, Structure and Interpretation of Computer Programs (SICP) has influenced computer science curricula around the world. Widely adopted as a textbook, the book has its origins in a popular entry-level computer science course taught by Harold Abelson and Gerald Jay Sussman at MIT. SICP introduces the reader to central ideas of computation by establishing a series of mental models for computation. Earlier editions used the programming language Scheme in their program examples. This new version of the second edition has been adapted for JavaScript. The first three chapters of SICP cover programming concepts that are common to all modern high-level programming languages. Chapters four and five, which used Scheme to formulate language processors for Scheme, required significant revision. Chapter four offers new mat

Humans constantly search for and use information to solve a wide range of problems related to survival, social interactions, and learning. While it is clear that curiosity and the drive for knowledge occupies a central role in defining what being human means to ourselves, where does this desire to know the unknown come from? What is its purpose? And how does it operate? These are some of the core questions this book seeks to answer by showcasing new and exciting research on human information-seeking. The volume brings together perspectives from leading researchers at the cutting edge of the cognitive sciences, working on human brains and behavior within psychology, computer science, and neuroscience. These vital connections between disciplines will continue to lead to further breakthroughs in our understanding of human cognition.

Since the early eighteenth century, the theory of networks and graphs has matured into an indispensable tool for describing countless real-world phenomena. However, the study of large-scale features of a network often requires unrealistic limits, such as taking the network size to infinity or assuming a continuum. These asymptotic and analytic approaches can significantly diverge from real or simulated networks when applied at the finite scales of real-world applications. This book offers an approach to overcoming these limitations by introducing operator graph theory, an exact, non-asymptotic set of tools combining graph theory with operator calculus. The book is intended for mathematicians, physicists, and other scientists interested in discrete finite systems and their graph-theoretical description, and in delineating the abstract algebraic structures that characterise such systems. All the necessary background on graph theory and operator calculus is included for readers to underst

Functional analysis deals with infinite-dimensional spaces. Its results are among the greatest achievements of modern mathematics and it has wide-reaching applications to probability theory, statistics, economics, classical and quantum physics, chemistry, engineering, and pure mathematics. This book deals with measure theory and discrete aspects of functional analysis, including Fourier series, sequence spaces, matrix maps, and summability. Based on the author's extensive teaching experience, the text is accessible to advanced undergraduate and first-year graduate students. It can be used as a basis for a one-term course or for a one-year sequence, and is suitable for self-study for readers with an undergraduate-level understanding of real analysis and linear algebra. More than 750 exercises are included to help the reader test their understanding. Key background material is summarized in the Preliminaries.

Functional analysis deals with infinite-dimensional spaces. Its results are among the greatest achievements of modern mathematics and it has wide-reaching applications to probability theory, statistics, economics, classical and quantum physics, chemistry, engineering, and pure mathematics. This book deals with measure theory and discrete aspects of functional analysis, including Fourier series, sequence spaces, matrix maps, and summability. Based on the author's extensive teaching experience, the text is accessible to advanced undergraduate and first-year graduate students. It can be used as a basis for a one-term course or for a one-year sequence, and is suitable for self-study for readers with an undergraduate-level understanding of real analysis and linear algebra. More than 750 exercises are included to help the reader test their understanding. Key background material is summarized in the Preliminaries.

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for first graders everywhere.Loved by kids and teacher approved, and featuring hundreds of questions based on reading, math, language arts, science, and more to reinforce classroom learning with a fun, fast-paced game.Brain Quest 1st Grade Smart Cards helps kids aged 6 – 7 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that first graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box750 questions and answers covering reading, math, language arts, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content with new and revised questions t

From hundreds of curriculum-based activities, exercises, and games in every subject to a new technology section, progress map, and stickers, discover the ultimate fourth grade workbook from America's #1 educational bestseller. Loved by kids, teacher approved, and trusted by parents, Brain Quest Grade 4 Workbook reviews and reinforces what children are learning in the classroom in an instantly engaging, entertaining way. Each page is jam packed with fun activities, practice exercises, and games covering vocabulary, language arts, math word problems, multiplication and division, fractions and decimals, geometry and measurement social studies, science, and much more. What's New?Technology section Introduces children to computer science, coding, and logic Updated content Activities and illustrations are revised to reflect the diversity of children, their families, and experiences Support for parents and children Section openers preview upcoming content and provide directions and suggestion

From hundreds of curriculum-based activities, exercises, and games in every subject to a new technology section, progress map, and stickers, discover the ultimate fifth grade workbook from America's #1 educational bestseller. Loved by kids, teacher approved, and trusted by parents, Brain Quest Grade 5 Workbook reviews and reinforces what children are learning in the classroom in an instantly engaging, entertaining way. Each page is jam packed with fun activities, practice exercises, and games covering vocabulary, language arts, math word problems, multiplication and division, fractions and decimals, geometry and measurement, social studies, science, and much more. What's New?Technology section Introduces children to computer science, coding, and logic Updated content Activities and illustrations are revised to reflect the diversity of children, their families, and experiences Support for parents and children Section openers preview upcoming content and provide directions and suggestion

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for second graders everywhere. Loved by kids and teacher approved, and featuring hundreds of questions based on math, language arts, science, social studies, and more to reinforce classroom learning with a fun, fast-paced game.Brain Quest 2nd Grade Smart Cards helps kids aged 7 – 8 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that second graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box1,000 questions and answers covering math, language arts, science, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content with new and re

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for third graders everywhere.​Brain Quest 3rd Grade Smart Cards helps kids aged 8 – 9 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that third graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box1,000 questions and answers covering math, language arts, science, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content new and revised questions that include recent key cultural and historic eventsRevised historical content with a focus on balance, diversity, and conscious languageBrain Quest decks are:Aligned with common core state st

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for fourth graders everywhere.Loved by kids and teacher approved, and featuring hundreds of questions based on math, science, English, US History, Geography, and more to reinforce classroom learning with a fun, fast-paced game.Brain Quest 4th Grade Smart Cards helps kids aged 9 – 10 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that fourth graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box1,500 questions and answers covering math, science, English, US History, Geography, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content wi

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for fifth graders everywhere.Loved by kids and teacher approved, and featuring hundreds of questions based on math, science, English, History, Geography, and more to reinforce classroom learning with a fun, fast-paced game.Brain Quest 5th Grade Smart Cards helps kids aged 10 – 11 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that fifth graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box1,500 questions and answers covering math, science, English, History, Geography, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content with new

Social media has put mass communication in the hands of normal people on an unprecedented scale, and has also given social scientists the tools necessary to listen to the voices of everyday people around the world. This book gives social scientists the skills necessary to leverage that opportunity, and transform social media's vast stream of information into social science data. The book combines the big data techniques of computer science with social science methodology. Intended as a text for advanced undergraduates, graduate students, and researchers in the social sciences, this book provides a methodological pathway for scholars who want to make use of this new and evolving source of data. It provides a framework for building one's own data collection and analysis infrastructure, a toolkit of content analysis, geographic analysis, and network analysis, and meditations on the ethical implications of social media data.

Social media has put mass communication in the hands of normal people on an unprecedented scale, and has also given social scientists the tools necessary to listen to the voices of everyday people around the world. This book gives social scientists the skills necessary to leverage that opportunity, and transform social media's vast stream of information into social science data. The book combines the big data techniques of computer science with social science methodology. Intended as a text for advanced undergraduates, graduate students, and researchers in the social sciences, this book provides a methodological pathway for scholars who want to make use of this new and evolving source of data. It provides a framework for building one's own data collection and analysis infrastructure, a toolkit of content analysis, geographic analysis, and network analysis, and meditations on the ethical implications of social media data.

Best practices for addressing the bias and inequality that may result from the automated collection, analysis, and distribution of large datasets.Human-centered data science is a new interdisciplinary field that draws from human-computer interaction, social science, statistics, and computational techniques. This book, written by founders of the field, introduces best practices for addressing the bias and inequality that may result from the automated collection, analysis, and distribution of very large datasets. It offers a brief and accessible overview of many common statistical and algorithmic data science techniques, explains human-centered approaches to data science problems, and presents practical guidelines and real-world case studies to help readers apply these methods. The authors explain how data scientists’ choices are involved at every stage of the data science workflow―and show how a human-centered approach can enhance each one, by making the process more transparent, aski

Understand critical principles of composites, such as design of durable structures, choice of fibre, matrix, manufacturing process, and mechanics with this interdisciplinary text. The book features up-to-date coverage of hybrids of fibres and particles and explanation of failure criteria, and includes a comprehensive discussion on choice of fibres, matrices, manufacturing technology, and micromechanics for durable composite structures. It provides the structure and properties of reinforcing fibres, particulates, and matrices together with a discussion of fracture mechanics. This is an essential guide for scientists and engineers wishing to discover the benefits of composite materials for designing strong and durable structures.

This book presents methods for the summation of infinite and finite series and the related identities and inversion relations. The summation includes the column sums and row sums of lower triangular matrices. The convergence of the summation of infinite series is considered. The author's focus is on symbolic methods and the Riordan array approach. In addition, this book contains hundreds summation formulas and identities, which can be used as a handbook for people working in computer science, applied mathematics, and computational mathematics, particularly, combinatorics, computational discrete mathematics, and computational number theory. The exercises at the end of each chapter help deepen understanding.Much of the materials in this book has never appeared before in textbook form. This book can be used as a suitable textbook for advanced courses for high lever undergraduate and lower lever graduate students. It is also an introductory self-study book for re- searchers interested in t