A Concise Introduction to Mathematical Logic

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Author: Wolfgang Rautenberg

Publisher: Springer

ISBN: 9781441912213

Category: Mathematics

Page: 320

View: 7171

Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.

A Concise Introduction to Logic

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Author: Patrick J. Hurley

Publisher: Cengage Learning

ISBN: 0840034172

Category: Philosophy

Page: 720

View: 8478

Unsurpassed for its clarity and comprehensiveness, Hurley's, A CONCISE INTRODUCTION TO LOGIC is the #1 introductory logic textbook in the market. In this Eleventh Edition, Hurley continues to build upon the tradition of a lucid, focused, and accessible presentation of the basic subject matter of logic, both formal and informal. Hurley's extensive, carefully sequenced collection of exercises continue to guide students toward greater proficiency with the skills they are learning. This edition includes an expanded array of technology supplements, including Aplia, an online homework solution, and Logic CourseMate which includes additional practice and study tools, video clips covering topics that students find difficult, the complete text in eBook format, and the popular Learning Logic multimedia tutorial program. In response to market feedback and the success of Wadsworth's Logical Choice custom program, this book continues to offer multiple options to customize your course content. Finally, innovative tools including a PowerLecture presentation tool and a Community Website are designed to help you manage, create, and teach your course more efficiently and effectively. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

A Concise Introduction to Logic

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Author: Patrick Hurley

Publisher: Cengage Learning

ISBN: 049580018X

Category: Philosophy

Page: 720

View: 431

Tens of thousands of students have learned to be more discerning at constructing and evaluating arguments with the help of Patrick J. Hurley. Hurley’s lucid, friendly, yet thorough presentation has made A CONCISE INTRODUCTION TO LOGIC the most widely used logic text in North America. In addition, the book’s accompanying technological resources, such as CengageNOW and Learning Logic, include interactive exercises as well as video and audio clips to reinforce what you read in the book and hear in class. In short, you’ll have all the assistance you need to become a more logical thinker and communicator. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Logic and Discrete Mathematics

A Concise Introduction, Solutions Manual

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Author: Willem Conradie,Valentin Goranko,Claudette Robinson

Publisher: John Wiley & Sons

ISBN: 1119000106

Category: Mathematics

Page: 200

View: 5176

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.

An Introduction to Mathematical Reasoning

Numbers, Sets and Functions

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Author: Peter J. Eccles

Publisher: Cambridge University Press

ISBN: 9780521597180

Category: Mathematics

Page: 350

View: 8849

This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.

Introduction to Model Theory

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Author: Philipp Rothmaler

Publisher: CRC Press

ISBN: 9789056992873

Category: Mathematics

Page: 324

View: 7990

Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect. This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than via the completeness theorem of first-order logic). This leads fairly quickly to algebraic applications, like Malcev's local theorems of group theory and, after a little more preparation, to Hilbert's Nullstellensatz of field theory. Steinitz dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal theories. There is a final chapter on the models of the first-order theory of the integers as an abelian group. Both these topics appear here for the first time in a textbook at the introductory level, and are used to give hints to further reading and to recent developments in the field, such as stability (or classification) theory.

Lectures on Mathematical Logic

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Author: Walter Felscher

Publisher: CRC Press

ISBN: 9789056992675

Category: Mathematics

Page: 330

View: 3430

In this volume, logic starts from the observation that in everyday arguments, as brought forward by say a lawyer, statements are transformed linguistically, connecting them in formal ways irrespective of their contents. Understanding such arguments as deductive situations, or "sequents" in the technical terminology, the transformations between them can be expressed as logical rules. The book concludes with the algorithms producing the results of Gentzen's midsequent theorem and Herbrand's theorem for prenex formulas.

Logic of Arithmetic

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Author: Walter Felscher

Publisher: CRC Press

ISBN: 9789056992682

Category: Mathematics

Page: 312

View: 7334

For propositional logic it can be decided whether a formula has a deduction from a finite set of other formulas. This volume begins with a method to decide this for the quantified formulas of those fragments of arithmetic which express the properties of order-plus-successor and of order-plus-addition (Pressburger arithmetic). It makes use of an algorithm eliminating quantifiers which, in turn, is also applied to obtain consistency proofs for these fragments.

Mathematical Foundations of Time Series Analysis

A Concise Introduction

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Author: Jan Beran

Publisher: Springer

ISBN: 3319743805

Category: Mathematics

Page: 307

View: 8538

This book provides a concise introduction to the mathematical foundations of time series analysis, with an emphasis on mathematical clarity. The text is reduced to the essential logical core, mostly using the symbolic language of mathematics, thus enabling readers to very quickly grasp the essential reasoning behind time series analysis. It appeals to anybody wanting to understand time series in a precise, mathematical manner. It is suitable for graduate courses in time series analysis but is equally useful as a reference work for students and researchers alike.

A Concise Introduction to Pure Mathematics, Fourth Edition

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Author: Martin Liebeck

Publisher: Chapman & Hall/CRC

ISBN: 9781138466838

Category:

Page: N.A

View: 3434

Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler�s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions. New to the Fourth Edition Two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications New material on inequalities, counting methods, the inclusion-exclusion principle, and Euler�s phi function Numerous new exercises, with solutions to the odd-numbered ones Through careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis.