Elements Of Discrete Mathematics 2/E
Title | Elements Of Discrete Mathematics 2/E PDF eBook |
Author | C L Liu |
Publisher | |
Pages | 433 |
Release | 2000-10-01 |
Genre | |
ISBN | 9780070434769 |
Probability and Algorithms
Title | Probability and Algorithms PDF eBook |
Author | National Research Council |
Publisher | National Academies Press |
Pages | 189 |
Release | 1992-02-01 |
Genre | Mathematics |
ISBN | 0309047765 |
Some of the hardest computational problems have been successfully attacked through the use of probabilistic algorithms, which have an element of randomness to them. Concepts from the field of probability are also increasingly useful in analyzing the performance of algorithms, broadening our understanding beyond that provided by the worst-case or average-case analyses. This book surveys both of these emerging areas on the interface of the mathematical sciences and computer science. It is designed to attract new researchers to this area and provide them with enough background to begin explorations of their own.
Discrete Mathematics
Title | Discrete Mathematics PDF eBook |
Author | Oscar Levin |
Publisher | Createspace Independent Publishing Platform |
Pages | 342 |
Release | 2016-08-16 |
Genre | |
ISBN | 9781534970748 |
This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions.
Discrete Mathematics for Computer Science
Title | Discrete Mathematics for Computer Science PDF eBook |
Author | Gary Haggard |
Publisher | Cengage Learning |
Pages | 0 |
Release | 2006 |
Genre | Computers |
ISBN | 9780534495015 |
Master the fundamentals of discrete mathematics with DISCRETE MATHEMATICS FOR COMPUTER SCIENCE with Student Solutions Manual CD-ROM! An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems and this mathematics text shows you how to express precise ideas in clear mathematical language. Through a wealth of exercises and examples, you will learn how mastering discrete mathematics will help you develop important reasoning skills that will continue to be useful throughout your career.
Discrete Mathematical Structures for Computer Science
Title | Discrete Mathematical Structures for Computer Science PDF eBook |
Author | Bernard Kolman |
Publisher | Prentice Hall |
Pages | 488 |
Release | 1987 |
Genre | Mathematics |
ISBN |
This text has been designed as a complete introduction to discrete mathematics, primarily for computer science majors in either a one or two semester course. The topics addressed are of genuine use in computer science, and are presented in a logically coherent fashion. The material has been organized and interrelated to minimize the mass of definitions and the abstraction of some of the theory. For example, relations and directed graphs are treated as two aspects of the same mathematical idea. Whenever possible each new idea uses previously encountered material, and then developed in such a way that it simplifies the more complex ideas that follow.
Practical Discrete Mathematics
Title | Practical Discrete Mathematics PDF eBook |
Author | Ryan T. White |
Publisher | Packt Publishing Ltd |
Pages | 330 |
Release | 2021-02-22 |
Genre | Mathematics |
ISBN | 1838983503 |
A practical guide simplifying discrete math for curious minds and demonstrating its application in solving problems related to software development, computer algorithms, and data science Key FeaturesApply the math of countable objects to practical problems in computer scienceExplore modern Python libraries such as scikit-learn, NumPy, and SciPy for performing mathematicsLearn complex statistical and mathematical concepts with the help of hands-on examples and expert guidanceBook Description Discrete mathematics deals with studying countable, distinct elements, and its principles are widely used in building algorithms for computer science and data science. The knowledge of discrete math concepts will help you understand the algorithms, binary, and general mathematics that sit at the core of data-driven tasks. Practical Discrete Mathematics is a comprehensive introduction for those who are new to the mathematics of countable objects. This book will help you get up to speed with using discrete math principles to take your computer science skills to a more advanced level. As you learn the language of discrete mathematics, you'll also cover methods crucial to studying and describing computer science and machine learning objects and algorithms. The chapters that follow will guide you through how memory and CPUs work. In addition to this, you'll understand how to analyze data for useful patterns, before finally exploring how to apply math concepts in network routing, web searching, and data science. By the end of this book, you'll have a deeper understanding of discrete math and its applications in computer science, and be ready to work on real-world algorithm development and machine learning. What you will learnUnderstand the terminology and methods in discrete math and their usage in algorithms and data problemsUse Boolean algebra in formal logic and elementary control structuresImplement combinatorics to measure computational complexity and manage memory allocationUse random variables, calculate descriptive statistics, and find average-case computational complexitySolve graph problems involved in routing, pathfinding, and graph searches, such as depth-first searchPerform ML tasks such as data visualization, regression, and dimensionality reductionWho this book is for This book is for computer scientists looking to expand their knowledge of discrete math, the core topic of their field. University students looking to get hands-on with computer science, mathematics, statistics, engineering, or related disciplines will also find this book useful. Basic Python programming skills and knowledge of elementary real-number algebra are required to get started with this book.
Coding in Python and Elements of Discrete Mathematics
Title | Coding in Python and Elements of Discrete Mathematics PDF eBook |
Author | Maria Litvin |
Publisher | |
Pages | 420 |
Release | 2019-06-15 |
Genre | |
ISBN | 9780997252842 |