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  • Discrete Mathematics
    Discrete Mathematics

    Biggs' Discrete Mathematics has been a best-selling textbook since the first and revised editions were published in 1986 and 1990, respectively.This second edition has been developed in response to undergraduate course changes and changes in students' needs.New to this edition are chapters on statements and proof, logical framework, and natural numbers and the integers, in addition to updated chapters from the previous edition.The new chapters are presented at a level suitable for mathematics and computer science students seeking a first approach to this broad and highly relevant topic.Each chapter contains newly developed tailored exercises, and miscellaneous exercises are presented throughout, providing the student with over 1000 individual tailored exercises.This edition is accompanied by a website www.oup.com/mathematics/discretemath containing hints and solutions to all exercises presented in the text, providing an invaluable resource for students and lecturers alike.The book is carefully structured, coherent and comprehensive, and is the ideal text for students seeking a clear introduction to discrete mathematics, graph theory, combinatorics, number theory, coding theory and abstract algebra.

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  • Discrete Structures
    Discrete Structures

    The aim of this text is to introduce discrete mathematics to beginning students of mathematics or computer science.It does this by bringing some coherency into the seemingly incongruent subjects that compose discrete math, such as logic, set theory, algebra, and combinatorics.It emphasizes their theoretical foundations and illustrates proofs along the way.The book prepares readers for the analysis of algorithms by discussing asymptotic analysis and a discrete calculus for sums.The book also deduces combinatorial methods from the foundations that are laid out.Unlike other texts on this subject, there is a greater emphasis on foundational material that leads to a better understanding.To further assist the reader in grasping and practicing concepts, roughly 690 exercises are provided at various levels of difficulty.Readers are encouraged to study the examples in the text and solve as many of the exercises as possible. The text is intended for freshman or sophomore undergraduate students in mathematics, computer science, or similar majors.The assumed background is precalculus. The chapter dependency chart included is designed to help students, independent readers, and instructors follow a systematic path for learning and teaching the material, with the option to explore material in later chapters.

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  • Discrete Mathematics DeMYSTiFied
    Discrete Mathematics DeMYSTiFied

    Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. MULTIPLY your chances of understanding DISCRETE MATHEMATICSIf you're interested in learning the fundamentals of discrete mathematics but can't seem to get your brain to function, then here's your solution.Add this easy-to-follow guide to the equation and calculate how quickly you learn the essential concepts.Written by award-winning math professor Steven Krantz, Discrete Mathematics Demystified explains this challenging topic in an effective and enlightening way.You will learn about logic, proofs, functions, matrices, sequences, series, and much more.Concise explanations, real-world examples, and worked equations make it easy to understand the material, and end-of-chapter exercises and a final exam help reinforce learning. This fast and easy guide offers:Numerous figures to illustrate key concepts Sample problems with worked solutions Coverage of set theory, graph theory, and number theoryChapters on cryptography and Boolean algebra A time-saving approach to performing better on an exam or at workSimple enough for a beginner, but challenging enough for an advanced student, Discrete Mathematics Demystified is your integral tool for mastering this complex subject.

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  • Discrete Mathematics for Computing
    Discrete Mathematics for Computing

    This book is a short, concise introduction to key mathematical ideas for computing students which develops their understanding of discrete mathematics and its application in computing.The topics are presented in a well defined, logical order that build upon each other and are constantly reinforced by worked examples.Reliance on students' previous mathematical experience is kept to a minimum, though some basic algebraic manipulation is required.This book is appropriate for CS and Math students in an undergraduate Discrete Math course.The content constitutes an accepted core of mathematics for computer scientists (for example, the formal methods used in computer science draw heavily on the discrete methematical concepts covered here, particularly logic, sets, relations and functions).Emphasis is placed on clear and careful explanations of basic ideas and on building confidence in developing mathematical competence through carefully selected exercises.All chapters conclude with short applications/case studies relevant to computing, which provide further motivation to engage with the mathematical ideas involved, and also demonstrate how the mathematics can be applied in a computing context.

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  • What are discrete structures?

    Discrete structures are mathematical structures that deal with distinct, separate values rather than continuous ones. They are used to represent objects that can be counted individually, such as integers, graphs, sets, and sequences. Discrete structures are fundamental in computer science and are used to solve problems related to algorithms, data structures, and combinatorics. They provide a framework for analyzing and solving problems in a precise and logical manner.

  • What does discrete manufacturing mean?

    Discrete manufacturing refers to the production of distinct, individual items or products that can be counted, touched, and seen as separate entities. This type of manufacturing involves the assembly of components or parts to create a finished product with a defined structure and form. Examples of discrete manufacturing include the production of automobiles, electronics, furniture, and appliances. It typically involves processes such as machining, welding, assembly, and quality control to ensure the final product meets specific requirements and standards.

  • Is time continuous or discrete?

    Time is generally considered to be continuous rather than discrete. This means that time is viewed as a smooth and uninterrupted flow, with no gaps or breaks between moments. However, some theories in physics, such as quantum mechanics, suggest that time may actually be made up of discrete, indivisible units called "chronons." Despite this, in our everyday experience, time is perceived as continuous.

  • Is the empty set discrete?

    Yes, the empty set is discrete. A set is considered discrete if it consists of distinct, separate elements with no accumulation points. Since the empty set contains no elements, it is by definition distinct and separate, making it discrete.

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  • Interpreting Discrete Choice Models
    Interpreting Discrete Choice Models

    In discrete choice models the relationships between the independent variables and the choice probabilities are nonlinear, depending on both the value of the particular independent variable being interpreted and the values of the other independent variables.Thus, interpreting the magnitude of the effects (the “substantive effects”) of the independent variables on choice behavior requires the use of additional interpretative techniques.Three common techniques for interpretation are described here: first differences, marginal effects and elasticities, and odds ratios.Concepts related to these techniques are also discussed, as well as methods to account for estimation uncertainty.Interpretation of binary logits, ordered logits, multinomial and conditional logits, and mixed discrete choice models such as mixed multinomial logits and random effects logits for panel data are covered in detail.The techniques discussed here are general, and can be applied to other models with discrete dependent variables which are not specifically described here.

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  • Discrete Records Mixtape C92
    Discrete Records Mixtape C92


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  • Discrete Mathematics with Coding
    Discrete Mathematics with Coding

    This book, for a first undergraduate course in Discrete Mathematics, systematically exploits the relationship between discrete mathematics and computer programming.Unlike most discrete mathematics texts focusing on one of the other, the book explores the rich and important connection between these two disciplines and shows how each discipline reinforces and enhances the other. The mathematics in the book is self-contained, requiring only a good background in precalculus and some mathematical maturity.New mathematical topics are introduced as needed. The coding language used is VBA Excel. The language is easy to learn, has intuitive commands, and the reader can develop interesting programs from the outset.Additionally, the spreadsheet platform in Excel makes for convenient and transparent data input and output and provides a powerful venue for complex data manipulation.Manipulating data is greatly simpli?ed using spreadsheet features and visualizing the data can make programming and debugging easier.The VBA language is seamlessly integrated into the spreadsheet environment with no other resources required.Furthermore, as some of the modules in the book show, intricate patterns, graphs, and animation in the form of moving cells is possible.Features Introduces coding in VBA Excel assuming no previous coding experience. Develops programs in Linear Analysis, Logic, Combinatorics, Probability, and Number Theory. Contains over 90 fully tested and debugged programs.The code for these is as well as the exercises is available on the author's website. Contains numerous examples that gradually introduce the reader to coding techniques. Includes programs that solve systems of linear equations, linear programming problems, combinatorial problems, Venn diagram problems and programs that produce truth tables from logic statements and logic statements from switching and gate circuits, encrypt and decrypt messages and simulate probability experiments.

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  • Polytopes and Discrete Geometry
    Polytopes and Discrete Geometry

    This volume contains the proceedings of the AMS Special Session on Polytopes and Discrete Geometry, held from April 21-22, 2018, at Northeastern University, Boston, Massachusetts.The papers showcase the breadth of discrete geometry through many new methods and results in a variety of topics.Also included are survey articles on some important areas of active research.This volume is aimed at researchers in discrete and convex geometry and researchers who work with abstract polytopes or string $C$-groups.It is also aimed at early career mathematicians, including graduate students and postdoctoral fellows, to give them a glimpse of the variety and beauty of these research areas.Topics covered in this volume include: the combinatorics, geometry, and symmetries of convex polytopes; tilings; discrete point sets; the combinatorics of Eulerian posets and interval posets; symmetries of surfaces and maps on surfaces; self-dual polytopes; string $C$-groups; hypertopes; and graph coloring.

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  • What are discrete structures 2?

    Discrete structures 2 is a continuation of the study of discrete mathematics, focusing on more advanced topics and applications. It typically covers areas such as graph theory, combinatorics, number theory, and advanced logic. Students will delve deeper into the theoretical and practical aspects of these topics, developing problem-solving skills and gaining a deeper understanding of the fundamental concepts of discrete mathematics. The course may also explore more complex algorithms and their applications in computer science and other fields.

  • What is discrete demand in economics?

    Discrete demand in economics refers to a situation where consumers can only purchase whole units of a good or service, rather than fractions or decimals. This type of demand is common for items like cars, computers, or clothing, where consumers cannot buy a fraction of the product. Discrete demand can impact pricing strategies and production decisions for businesses, as they must consider the whole number quantities that consumers are willing to purchase.

  • What are discrete and continuous data?

    Discrete data refers to values that can only take on specific, separate values, such as whole numbers or categories. For example, the number of students in a class or the type of car a person drives are discrete data. On the other hand, continuous data refers to values that can take on any value within a certain range, such as height, weight, or temperature. Continuous data can be measured and can take on any value within a given range, while discrete data can only take on specific, distinct values.

  • What is a discrete power signal?

    A discrete power signal is a signal that is defined only at discrete points in time. This means that the signal is only defined at specific time intervals, rather than being continuous. In addition, a discrete power signal has a finite amount of power over a given time period, meaning that the total power of the signal is finite. Discrete power signals are commonly used in digital signal processing and communication systems.

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