Tale Of Discrete Mathematics A A Journey Through Logic Reasoning Structures And Graph Theory PDF Download
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| Author | : Joseph Khoury |
| Publisher | : World Scientific |
| Total Pages | : 820 |
| Release | : 2024-03-19 |
| Genre | : Mathematics |
| ISBN | : 9811285802 |
Download Tale Of Discrete Mathematics, A: A Journey Through Logic, Reasoning, Structures And Graph Theory Book in PDF, ePub and Kindle
Topics covered in Discrete Mathematics have become essential tools in many areas of studies in recent years. This is primarily due to the revolution in technology, communications, and cyber security. The book treats major themes in a typical introductory modern Discrete Mathematics course: Propositional and predicate logic, proof techniques, set theory (including Boolean algebra, functions and relations), introduction to number theory, combinatorics and graph theory.An accessible, precise, and comprehensive approach is adopted in the treatment of each topic. The ability of abstract thinking and the art of writing valid arguments are emphasized through detailed proof of (almost) every result. Developing the ability to think abstractly and roguishly is key in any areas of science, information technology and engineering. Every result presented in the book is followed by examples and applications to consolidate its comprehension. The hope is that the reader ends up developing both the abstract reasoning as well as acquiring practical skills.All efforts are made to write the book at a level accessible to first-year students and to present each topic in a way that facilitates self-directed learning. Each chapter starts with basic concepts of the subject at hand and progresses gradually to cover more ground on the subject. Chapters are divided into sections and subsections to facilitate readings. Each section ends with its own carefully chosen set of practice exercises to reenforce comprehension and to challenge and stimulate readers.As an introduction to Discrete Mathematics, the book is written with the smallest set of prerequisites possible. Familiarity with basic mathematical concepts (usually acquired in high school) is sufficient for most chapters. However, some mathematical maturity comes in handy to grasp some harder concepts presented in the book.
| Author | : Joseph Khoury |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 0 |
| Release | : 2024 |
| Genre | : Mathematics |
| ISBN | : 9789811285783 |
Download Tale of Discrete Mathematics, A: A Journey Through Logic, Reasoning, Structures and Graph Theory Book in PDF, ePub and Kindle
Topics covered in Discrete Mathematics have become essential tools in many areas of studies in recent years. This is primarily due to the revolution in technology, communications, and cyber security. The book treats major themes in a typical introductory modern Discrete Mathematics course: Propositional and predicate logic, proof techniques, set theory (including Boolean algebra, functions and relations), introduction to number theory, combinatorics and graph theory.An accessible, precise, and comprehensive approach is adopted in the treatment of each topic. The ability of abstract thinking and the art of writing valid arguments are emphasized through detailed proof of (almost) every result. Developing the ability to think abstractly and roguishly is key in any areas of science, information technology and engineering. Every result presented in the book is followed by examples and applications to consolidate its comprehension. The hope is that the reader ends up developing both the abstract reasoning as well as acquiring practical skills.All efforts are made to write the book at a level accessible to first-year students and to present each topic in a way that facilitates self-directed learning. Each chapter starts with basic concepts of the subject at hand and progresses gradually to cover more ground on the subject. Chapters are divided into sections and subsections to facilitate readings. Each section ends with its own carefully chosen set of practice exercises to reenforce comprehension and to challenge and stimulate readers.As an introduction to Discrete Mathematics, the book is written with the smallest set of prerequisites possible. Familiarity with basic mathematical concepts (usually acquired in high school) is sufficient for most chapters. However, some mathematical maturity comes in handy to grasp some harder concepts presented in the book.
| Author | : Owen D. Byer |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 388 |
| Release | : 2018-11-13 |
| Genre | : Combinatorial analysis |
| ISBN | : 1470446960 |
Download Journey into Discrete Mathematics Book in PDF, ePub and Kindle
Journey into Discrete Mathematics is designed for use in a first course in mathematical abstraction for early-career undergraduate mathematics majors. The important ideas of discrete mathematics are included—logic, sets, proof writing, relations, counting, number theory, and graph theory—in a manner that promotes development of a mathematical mindset and prepares students for further study. While the treatment is designed to prepare the student reader for the mathematics major, the book remains attractive and appealing to students of computer science and other problem-solving disciplines. The exposition is exquisite and engaging and features detailed descriptions of the thought processes that one might follow to attack the problems of mathematics. The problems are appealing and vary widely in depth and difficulty. Careful design of the book helps the student reader learn to think like a mathematician through the exposition and the problems provided. Several of the core topics, including counting, number theory, and graph theory, are visited twice: once in an introductory manner and then again in a later chapter with more advanced concepts and with a deeper perspective. Owen D. Byer and Deirdre L. Smeltzer are both Professors of Mathematics at Eastern Mennonite University. Kenneth L. Wantz is Professor of Mathematics at Regent University. Collectively the authors have specialized expertise and research publications ranging widely over discrete mathematics and have over fifty semesters of combined experience in teaching this subject.
| Author | : Douglas E. Ensley |
| Publisher | : John Wiley & Sons |
| Total Pages | : 704 |
| Release | : 2005-10-07 |
| Genre | : Mathematics |
| ISBN | : 0471476021 |
Download Discrete Mathematics Book in PDF, ePub and Kindle
Did you know that games and puzzles have given birth to many of today's deepest mathematical subjects? Now, with Douglas Ensley and Winston Crawley's Introduction to Discrete Mathematics, you can explore mathematical writing, abstract structures, counting, discrete probability, and graph theory, through games, puzzles, patterns, magic tricks, and real-world problems. You will discover how new mathematical topics can be applied to everyday situations, learn how to work with proofs, and develop your problem-solving skills along the way. Online applications help improve your mathematical reasoning. Highly intriguing, interactive Flash-based applications illustrate key mathematical concepts and help you develop your ability to reason mathematically, solve problems, and work with proofs. Explore More icons in the text direct you to online activities at www.wiley.com/college/ensley. Improve your grade with the Student Solutions Manual. A supplementary Student Solutions Manual contains more detailed solutions to selected exercises in the text.
| Author | : S. Santha |
| Publisher | : |
| Total Pages | : 850 |
| Release | : 2009-01-01 |
| Genre | : Algebra |
| ISBN | : 9788131510988 |
Download Discrete Mathematics With Combinatorics And Graph Theory Book in PDF, ePub and Kindle
Discrete Mathematics is designed to serve as a textbook for a single-semester undergraduate course on the discrete and combinatorial mathematics. Beginning with a a lucid introduction to logic and set theory, the book goes on to cover matrix algebra, algebraic systems, coding theory, lattices and Boolean algebra, parts, and discrete probability A comprehensive chapter dedicated to graph theory makes it a complete undergraduate text on discrete mathematical structures.Written in an easy-to-understand manner, the book includes a large number of solved examples which illustrate problem-solving methodology. It contains an extensive set of exercises. Both solved and unsolved problems show a good gradation of difficulty levels. A summary at the end of each chapter reviews the key concepts discussed.
| Author | : Douglas E. Ensley |
| Publisher | : Wiley |
| Total Pages | : 0 |
| Release | : 2006-05 |
| Genre | : Mathematics |
| ISBN | : 9780470086421 |
Download Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns, and Games, 1e with Student Solutions Manual Set Book in PDF, ePub and Kindle
Math problems applied to real-world situations Proofs, graph theory, and discrete probability are all explored in Discrete Mathematics. The text and student manual innovatively address these topics as well as mathematical writing, abstract structures, and counting. Concepts are reinforced through games, puzzles, patterns, magic tricks, and problems related to everyday circumstances. The Student Solutions Manual offers detailed solutions to selected text problems.
| Author | : Michael M. Parmenter |
| Publisher | : |
| Total Pages | : 482 |
| Release | : 2008-02-01 |
| Genre | : Algorithms |
| ISBN | : 9788131722305 |
Download Discrete Mathematics With Graph Theory Book in PDF, ePub and Kindle
| Author | : Nishant Pal |
| Publisher | : |
| Total Pages | : 41 |
| Release | : 2021-11-18 |
| Genre | : |
| ISBN | : |
Download Discrete and Logic Mathematics Book in PDF, ePub and Kindle
Discrete mathematics is a branch in mathematics that involves discrete elements and uses both algebra and arithmetic. It is being used in computer science and mathematics. It can be used to improve reasoning and problem-solving abilities. Discrete mathematics refers to the study of mathematical structures which are fundamentally distinct from continuous. Contrary to real numbers, which have the property of changing "smoothly", objects in discrete mathematics, such as integers and graphs, do not change smoothly but have distinct, separate values. Topics in "continuous mathematics", such as calculus and Euclidean geometry, are excluded from discrete mathematics. Integers can often be used to enumerate discrete objects. Formally, discrete mathematics is a branch of mathematics that deals with countable sets (finite or sets with the same cardinality than the natural numbers). There is no precise definition of "discrete mathematics" however. CATEGORIES FOR MATHEMATICS Two categories can be used to describe mathematics: Continuous Mathematics It is based on continuous number lines or real numbers. It is defined by the fact that there is almost always an infinite number of numbers between any two numbers. A function in continuous mathematics, for example, can be plotted as a smooth curve with no breaks. Discrete Mathematics It has distinct values, i.e. There are always more than one point between two points. If we have a finite number of objects, for example, the function can be described as a list or ordered pairs that contain these objects. This can then be presented as a complete listing of those pairs. G. Cantor, a German mathematician, introduced the concept set. A set is a group of distinct and definite objects that are selected according to certain rules or descriptions. The basis for many other areas of study, such as relations, counting theory, graph theory, and finite state machines, is set theory. This chapter will discuss the various aspects of Set Theory. A set is an unsorted collection of elements. You can list the elements of a set explicitly using the set bracket. It does not affect the set if the order of elements is altered or any element is repeated.
| 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 | : Willem Conradie |
| Publisher | : John Wiley & Sons |
| Total Pages | : 195 |
| Release | : 2015-05-08 |
| Genre | : Mathematics |
| ISBN | : 1119000106 |
Download Logic and Discrete Mathematics Book in PDF, ePub and Kindle
Solutions manual to accompany Logic and Discrete Mathematics: A Concise Introduction This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade. Written in a clear and reader-friendly style, each section ends with an extensive set of exercises, most of them provided with complete solutions which are available in this accompanying solutions manual.
