Basic Discrete Mathematics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Basic Discrete Mathematics PDF full book. Access full book title Basic Discrete Mathematics.
Author | : Oscar Levin |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 238 |
Release | : 2018-07-30 |
Genre | : |
ISBN | : 9781724572639 |
Download Discrete Mathematics Book in PDF, ePub and Kindle
Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)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.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.
Author | : Richard Kohar |
Publisher | : World Scientific Publishing Company |
Total Pages | : 732 |
Release | : 2016-06-15 |
Genre | : Mathematics |
ISBN | : 9814730416 |
Download Basic Discrete Mathematics Book in PDF, ePub and Kindle
This lively introductory text exposes the student in the humanities to the world of discrete mathematics. A problem-solving based approach grounded in the ideas of George Pólya are at the heart of this book. Students learn to handle and solve new problems on their own. A straightforward, clear writing style and well-crafted examples with diagrams invite the students to develop into precise and critical thinkers. Particular attention has been given to the material that some students find challenging, such as proofs. This book illustrates how to spot invalid arguments, to enumerate possibilities, and to construct probabilities. It also presents case studies to students about the possible detrimental effects of ignoring these basic principles. The book is invaluable for a discrete and finite mathematics course at the freshman undergraduate level or for self-study since there are full solutions to the exercises in an appendix. "Written with clarity, humor and relevant real-world examples, Basic Discrete Mathematics is a wonderful introduction to discrete mathematical reasoning."- Arthur Benjamin, Professor of Mathematics at Harvey Mudd College, and author of The Magic of Math
Author | : Harry Lewis |
Publisher | : Princeton University Press |
Total Pages | : 408 |
Release | : 2019-03-19 |
Genre | : Computers |
ISBN | : 0691179298 |
Download Essential Discrete Mathematics for Computer Science Book in PDF, ePub and Kindle
Discrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics and graph theory. Essential Discrete Mathematics for Computer Science aims to teach mathematical reasoning as well as concepts and skills by stressing the art of proof. It is fully illustrated in color, and each chapter includes a concise summary as well as a set of exercises.
Author | : Martin Aigner |
Publisher | : American Mathematical Society |
Total Pages | : 402 |
Release | : 2023-01-24 |
Genre | : Mathematics |
ISBN | : 1470470632 |
Download Discrete Mathematics Book in PDF, ePub and Kindle
The advent of fast computers and the search for efficient algorithms revolutionized combinatorics and brought about the field of discrete mathematics. This book is an introduction to the main ideas and results of discrete mathematics, and with its emphasis on algorithms it should be interesting to mathematicians and computer scientists alike. The book is organized into three parts: enumeration, graphs and algorithms, and algebraic systems. There are 600 exercises with hints and solutions to about half of them. The only prerequisites for understanding everything in the book are linear algebra and calculus at the undergraduate level. Praise for the German edition… This book is a well-written introduction to discrete mathematics and is highly recommended to every student of mathematics and computer science as well as to teachers of these topics. —Konrad Engel for MathSciNet Martin Aigner is a professor of mathematics at the Free University of Berlin. He received his PhD at the University of Vienna and has held a number of positions in the USA and Germany before moving to Berlin. He is the author of several books on discrete mathematics, graph theory, and the theory of search. The Monthly article Turan's graph theorem earned him a 1995 Lester R. Ford Prize of the MAA for expository writing, and his book Proofs from the BOOK with Günter M. Ziegler has been an international success with translations into 12 languages.
Author | : Gary Haggard |
Publisher | : Cengage Learning |
Total Pages | : 0 |
Release | : 2006 |
Genre | : Computers |
ISBN | : 9780534495015 |
Download Discrete Mathematics for Computer Science Book in PDF, ePub and Kindle
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.
Author | : Bernard Kolman |
Publisher | : Prentice Hall |
Total Pages | : 488 |
Release | : 1987 |
Genre | : Computer science |
ISBN | : |
Download Discrete Mathematical Structures for Computer Science Book in PDF, ePub and Kindle
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.
Author | : Neville Dean |
Publisher | : |
Total Pages | : 212 |
Release | : 1997 |
Genre | : Computers |
ISBN | : 9780133459432 |
Download The Essence of Discrete Mathematics Book in PDF, ePub and Kindle
Presenting a gentle introduction to all the basics of discrete mathematics, this book introduces sets, propositional logic, predicate logic, and mathematical models. It discusses relations, including homogeneous relations.
Author | : W.D. Wallis |
Publisher | : Springer Science & Business Media |
Total Pages | : 376 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 1475738269 |
Download A Beginner’s Guide to Discrete Mathematics Book in PDF, ePub and Kindle
This introduction to discrete mathematics is aimed at freshmen and sophomores in mathematics and computer science. It begins with a survey of number systems and elementary set theory before moving on to treat data structures, counting, probability, relations and functions, graph theory, matrices, number theory and cryptography. The end of each section contains problem sets with selected solutions, and good examples occur throughout the text.
Author | : Jean Gallier |
Publisher | : Springer Science & Business Media |
Total Pages | : 473 |
Release | : 2011-02-01 |
Genre | : Mathematics |
ISBN | : 1441980474 |
Download Discrete Mathematics Book in PDF, ePub and Kindle
This books gives an introduction to discrete mathematics for beginning undergraduates. One of original features of this book is that it begins with a presentation of the rules of logic as used in mathematics. Many examples of formal and informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is more standard. It deals with functions and relations, directed and undirected graphs, and an introduction to combinatorics. There is a section on public key cryptography and RSA, with complete proofs of Fermat's little theorem and the correctness of the RSA scheme, as well as explicit algorithms to perform modular arithmetic. The last chapter provides more graph theory. Eulerian and Hamiltonian cycles are discussed. Then, we study flows and tensions and state and prove the max flow min-cut theorem. We also discuss matchings, covering, bipartite graphs.
Author | : R. Balakrishnan |
Publisher | : CRC Press |
Total Pages | : 361 |
Release | : 2018-10-26 |
Genre | : Mathematics |
ISBN | : 1351019120 |
Download Foundations of Discrete Mathematics with Algorithms and Programming Book in PDF, ePub and Kindle
Discrete Mathematics has permeated the whole of mathematics so much so it has now come to be taught even at the high school level. This book presents the basics of Discrete Mathematics and its applications to day-to-day problems in several areas. This book is intended for undergraduate students of Computer Science, Mathematics and Engineering. A number of examples have been given to enhance the understanding of concepts. The programming languages used are Pascal and C.