› › Solutions For Even Numbered Problems To Accompany Logic And Set Theory With Applications Seventh Edition

Book of Proof

Author : Richard H. Hammack

Publisher :

Page : 314 pages

File Size : 48,54 MB

Release : 2016-01-01

Category : Mathematics

ISBN : 9780989472111

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Book Description

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.



Proofs from THE BOOK

Author : Martin Aigner

Publisher : Springer Science & Business Media

Page : 194 pages

File Size : 47,49 MB

Release : 2013-06-29

Category : Mathematics

ISBN : 3662223430

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Book Description

According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.



Discrete Mathematics and Its Applications

Author : Kenneth H. Rosen

Publisher : McGraw-Hill

Page : 0 pages

File Size : 23,53 MB

Release : 2018-05

Category : Computer science

ISBN : 9781259676512

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Book Description

A precise, relevant, comprehensive approach to mathematical concepts...



Answer Set Programming

Author : Vladimir Lifschitz

Publisher : Springer Nature

Page : 196 pages

File Size : 42,35 MB

Release : 2019-08-29

Category : Computers

ISBN : 3030246582

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Book Description

Answer set programming (ASP) is a programming methodology oriented towards combinatorial search problems. In such a problem, the goal is to find a solution among a large but finite number of possibilities. The idea of ASP came from research on artificial intelligence and computational logic. ASP is a form of declarative programming: an ASP program describes what is counted as a solution to the problem, but does not specify an algorithm for solving it. Search is performed by sophisticated software systems called answer set solvers. Combinatorial search problems often arise in science and technology, and ASP has found applications in diverse areas—in historical linguistic, in bioinformatics, in robotics, in space exploration, in oil and gas industry, and many others. The importance of this programming method was recognized by the Association for the Advancement of Artificial Intelligence in 2016, when AI Magazine published a special issue on answer set programming. The book introduces the reader to the theory and practice of ASP. It describes the input language of the answer set solver CLINGO, which was designed at the University of Potsdam in Germany and is used today by ASP programmers in many countries. It includes numerous examples of ASP programs and present the mathematical theory that ASP is based on. There are many exercises with complete solutions.



Student Solutions Guide for Discrete Mathematics and Its Applications

Author : Kenneth H. Rosen

Publisher : McGraw-Hill Companies

Page : 372 pages

File Size : 39,37 MB

Release : 1995

Category : Computer science

ISBN : 9780070539662

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Book Description

This text provides a balanced survey of major sub-fields within discrete mathematics. It demonstrates the utility of discrete mathematics in the solutions of real-world problems in diverse areas such as zoology, linguistics and business. Over 200 new problems have been added to this third edition.





Discrete Mathematics

Author : Oscar Levin

Publisher : Createspace Independent Publishing Platform

Page : 342 pages

File Size : 10,75 MB

Release : 2016-08-16

Category :

ISBN : 9781534970748

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Book Description

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.



Mathematical Methods in Linguistics

Author : Barbara B.H. Partee

Publisher : Springer Science & Business Media

Page : 692 pages

File Size : 34,15 MB

Release : 1990-04-30

Category : Language Arts & Disciplines

ISBN : 9789027722454

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Book Description

Elementary set theory accustoms the students to mathematical abstraction, includes the standard constructions of relations, functions, and orderings, and leads to a discussion of the various orders of infinity. The material on logic covers not only the standard statement logic and first-order predicate logic but includes an introduction to formal systems, axiomatization, and model theory. The section on algebra is presented with an emphasis on lattices as well as Boolean and Heyting algebras. Background for recent research in natural language semantics includes sections on lambda-abstraction and generalized quantifiers. Chapters on automata theory and formal languages contain a discussion of languages between context-free and context-sensitive and form the background for much current work in syntactic theory and computational linguistics. The many exercises not only reinforce basic skills but offer an entry to linguistic applications of mathematical concepts. For upper-level undergraduate students and graduate students in theoretical linguistics, computer-science students with interests in computational linguistics, logic programming and artificial intelligence, mathematicians and logicians with interests in linguistics and the semantics of natural language.



Logic For Dummies

Author : Mark Zegarelli

Publisher : John Wiley & Sons

Page : 384 pages

File Size : 10,38 MB

Release : 2006-11-29

Category : Mathematics

ISBN : 0471799416

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Book Description

A straightforward guide to logic concepts Logic concepts are more mainstream than you may realize. There’s logic every place you look and in almost everything you do, from deciding which shirt to buy to asking your boss for a raise, and even to watching television, where themes of such shows as CSI and Numbers incorporate a variety of logistical studies. Logic For Dummies explains a vast array of logical concepts and processes in easy-to-understand language that make everything clear to you, whether you’re a college student of a student of life. You’ll find out about: Formal Logic Syllogisms Constructing proofs and refutations Propositional and predicate logic Modal and fuzzy logic Symbolic logic Deductive and inductive reasoning Logic For Dummies tracks an introductory logic course at the college level. Concrete, real-world examples help you understand each concept you encounter, while fully worked out proofs and fun logic problems encourage you students to apply what you’ve learned.



Partial Differential Equations

Author : Walter A. Strauss

Publisher : John Wiley & Sons

Page : 467 pages

File Size : 50,34 MB

Release : 2007-12-21

Category : Mathematics

ISBN : 0470054565

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Book Description

Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.