basic discrete mathematics logic set theory and probability

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Basic Discrete Mathematics

Author : Richard Kohar
ISBN : 9789814730419
Genre : Mathematics
File Size : 74. 8 MB
Format : PDF, ePub, Mobi
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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

Basic Discrete Mathematics

Author : Richard Kohar
ISBN : 9814730394
Genre : Mathematics
File Size : 65. 85 MB
Format : PDF, Docs
Download : 225
Read : 310

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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.

Sets Logic And Maths For Computing

Author : David Makinson
ISBN : 9781846288449
Genre : Computers
File Size : 52. 73 MB
Format : PDF, Kindle
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University studies in computing require the ability to pass from a concrete problem to an abstract representation, reason with the abstract structure, and return with useful solutions to the specific situation.The tools for developing these skills are in part qualitative concepts such as set, relation, function, and structures such as trees and well-founded orders. They are also in part quantitative notably elementary combinatorics and finite probability. Recurring in all of these are instruments of proof, both purely logical ones (such as proof by contradiction) and mathematical (the various forms of induction).Features: Explains the basic mathematical tools required by students as they set out in their studies of Computer or Information Science Explores the interplay between qualitative thinking and calculation Teaches the material as a language for thinking, as much as knowledge to be acquired Uses an intuitive approach with a focus on examples for all general concepts Provides numerous exercises, solutions and proofs to deepen and test the reader 's understanding Includes highlight boxes that raise common queries and clear away confusions Tandems with additional electronic resources including slides on author's website http: //david.c.makinson.googlepages.com This easy-to-follow text allows readers to carry out their computing studies with a clear understanding of the basic finite mathematics and logic that they will need. Written explicitly for undergraduates, it requires only a minimal mathematical background and is ideal for self-study as well as classroom use.

Probability Theory

Author : E. T. Jaynes
ISBN : 9781139435161
Genre : Science
File Size : 53. 18 MB
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The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.

Discrete Mathematics And Its Applications

Author : Kenneth H. Rosen
ISBN : 9780070681880
Genre : Computer science
File Size : 33. 51 MB
Format : PDF, ePub
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A Beginner S Guide To Discrete Mathematics

Author : W.D. Wallis
ISBN : 9781475738261
Genre : Mathematics
File Size : 25. 6 MB
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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.

Fundamentals Of Discrete Mathematical Structures

Author : K. R. CHOWDHARY
ISBN : 9788120350748
Genre : Mathematics
File Size : 26. 8 MB
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This updated text, now in its Third Edition, continues to provide the basic concepts of discrete mathematics and its applications at an appropriate level of rigour. The text teaches mathematical logic, discusses how to work with discrete structures, analyzes combinatorial approach to problem-solving and develops an ability to create and understand mathematical models and algorithms essentials for writing computer programs. Every concept introduced in the text is first explained from the point of view of mathematics, followed by its relation to Computer Science. In addition, it offers excellent coverage of graph theory, mathematical reasoning, foundational material on set theory, relations and their computer representation, supported by a number of worked-out examples and exercises to reinforce the students’ skill. Primarily intended for undergraduate students of Computer Science and Engineering, and Information Technology, this text will also be useful for undergraduate and postgraduate students of Computer Applications. New to this Edition Incorporates many new sections and subsections such as recurrence relations with constant coefficients, linear recurrence relations with and without constant coefficients, rules for counting and shorting, Peano axioms, graph connecting, graph scanning algorithm, lexicographic shorting, chains, antichains and order-isomorphism, complemented lattices, isomorphic order sets, cyclic groups, automorphism groups, Abelian groups, group homomorphism, subgroups, permutation groups, cosets, and quotient subgroups. Includes many new worked-out examples, definitions, theorems, exercises, and GATE level MCQs with answers.

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