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Beginning logic

Beginning logic more books like this

by E. J. Lemmon

The aim of this book is to provide an exposition of elementary formal logic. The course, which is primarily intended for first-year students who have no previous knowledge of the subject, forms a working basis for more advanced reading and is presented in such a way as to be intelligible to the layman. The nature of logic is examined with the ...

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Introduction to the theory of sets

Introduction to the theory of sets more books like this

by Joseph Breuer

Set theory permeates much of contemporary mathematical thought. This text for undergraduates offers a natural introduction, developing the subject through observations of the physical world. Its progressive development leads from finite sets to cardinal numbers, infinite cardinals, and ordinals. Exercises appear throughout the text, with answers ...

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Notes on Set Theory

Notes on Set Theory more books like this

by Yiannis N Moschovakis

The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. At the same time, it is often viewed as a foundation of mathematics so that in the most prevalent, current mathematical practice "to make a notion precise" simply means "to define it in set theory." This book ...

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The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs more books like this

by Antonella Cupillari

This book leads readers through a progressive explanation of what mathematical proofs are, why they are important, and how they work, along with a presentation of basic techniques used to construct proofs. The Second Edition presents more examples, more exercises, a more complete treatment of mathematical induction and set theory, and it ...

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Schaum's Outline of Set Theory and Related Topics

Schaum's Outline of Set Theory and Related Topics more books like this

by Seymour Lipschutz, Ph.D.

Master set theory and related topics with Schaums--the high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love Schaums Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these ...

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Introduction to Model Theory

Introduction to Model Theory more books like this

by Phillipp Rothmaler, Philipp Rothmaler, Rothmaler Rothmaler

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 ...

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Dave's Down-To-Earth Rock Shop

Dave's Down-To-Earth Rock Shop more books like this

by Stuart J Murphy

As they consider sorting their rock collection by color, size, type, and hardness, Josh and Amy learn that the same objects can be organized in many different ways.

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Computability: Computable Functions Logic and the Foundations of Math more books like this

by Richard L Epstein, Walter A Carnielli, Epstein L Epstein

This book should be of interest to intermediate mathematics undergraduates; postgraduates in theoretical computer science/philosophy of mathematics.

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Set Theory

Set Theory more books like this

by Felix Hausdorff

This work is a translation into English of the Third Edition of the classic German language work "Mengenlehre" by Felix Hausdorff published in 1937. From the Preface (1937): "The present book has as its purpose an exposition of the most important theorems of the theory of sets, along with complete proofs, so that the reader should not find it ...

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The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise

The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise more books like this

by Mary Tiles

This volume offers a guided tour of modern mathematics' Garden of Eden, beginning with perspectives on the finite universe and classes and Aristotelian logic. Author Mary Tiles further examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. 1989 ...

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In Search of Infinity

In Search of Infinity more books like this

by N. Ya Vilenkin, Hardy Grant (Editor), Abe Shenitzer (Translator)

The concept of infinity has been a topic of great interest for hundred of years, for scholars and lay people alike. The theory of infinte sets lies at the heart of much mathematics, yet it has produced a series of paradoxes that have led many scholars to doubt the soundness of its foundations. This work presents a popular-level account of the ...

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Fuzzy Set Theory - And Its Applications more books like this

by Hans-Jurgen Zimmermann

Since its inception, the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of fuzzy technology can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, robotics, and others. Theoretical advances have ...

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Axiomatic Set Theory more books like this

by Paul Bernays

A historical introduction by A. A. Fraenkel to the original Zermelo-Fraenkel form of set-theoretic axiomatics, plus Paul Bernays' independent presentation of a formal system of axiomatic set theory.

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Sorting more books like this

by Karen Bryant-Mole

Intended as a resource for Numeracy and Literacy Hours, this large format book demonstrates the basic concept of sorting in a way that is appropriate for pre-school children and those just starting school. The series key character is Marmaduke, a cuddly teddy who it is hoped will appeal to young children as the basic concepts are reinforced ...

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Georg Cantor: His Mathematics and Philosophy of the Infinite more books like this

by Joseph Warren Dauben

One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important study, the most thorough yet written of the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a vital ...

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An Introduction to Mathematical Reasoning: Numbers, Sets and Functions more books like this

by Peter Eccles

The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. This is achieved by exploring set theory, combinatorics and number theory, topics which include many ...

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Set Theory for the Working Mathematician more books like this

by Krzysztof Ciesielski

This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory, culminating in a proof of Zorn's Lemma and a ...

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Understanding the Infinite more books like this

by Shaughan Lavine

How can the infinite, a subject so remote from our finite experience, be an everyday working tool for the working mathematician? Blending history, philosophy, mathematics and logic, Shaughan Lavine answers this question with clarity. An account of the origins of the modern mathematical theory of the infinite, his book is also a defense against the ...

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The Joy of Sets: Fundamentals of Contemporary Set Theory more books like this

by Keith J Devlin

This book is intended to provide an account of those parts of contemporary set theory that are relevant to other areas of pure mathematics. Intended for advanced undergraduates and beginning graduate students, the text is written in an easy-going style, with a minimum of formalism. The book begins with a review of "naive" set theory; it then ...

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The Continuum and Other Types of Serial Order more books like this

by Edward V Huntington

Based on the Dedekind-Cantor ordinal theory, this classic presents the best systematic elementary account of modern theory of the continuum as a type of serial order. 119 footnotes. 1917 edition.

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A Course on Borel Sets more books like this

by S. M. Srivastava, P. R. Halmos (Editor), S. Axler (Editor)

"A Course on Borel Sets" provides a thorough introduction to Borel sets and measurable selections and acts as a stepping stone to descriptive set theory by presenting important techniques such as universal sets, prewellordering, scales, etc. It is well suited for graduate students exploring areas of mathematics for their research and for ...

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Seaweed Soup more books like this

by Frank Remkiewicz

To feed all of his friends, Turtle has to mix and match the cups and bowls, and spoons. As more guests arrive, readers can learn about matching sets and the correpsondence between different groups of objects. Full-color illustrations.

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Mathematical Logic: A Course with Exercises more books like this

by Rene Cori, Daniel Lascar, Donald H Pelletier (Translator)

Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. It is a major element in theoretical computer science and has undergone a huge revival with the every- growing importance of computer science. This text is based on a course to undergraduates and provides a clear and accessible introduction to ...

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Introduction to Set Theory more books like this

by Jech Hrbacek, Karel Hrbacek

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A Concise Introduction to Pure Mathematics more books like this

by Martin W Liebeck (Editor)

"A Concise Introduction to Pure Mathematics, Second Edition" provides a robust bridge between high school and university mathematics, expanding upon basic topics in ways that will interest first-year students in mathematics and related fields and stimulate further study. Divided into 22 short chapters, this textbook offers a selection of exercises ...

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