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Math-Terpieces: The Art of Problem-Solving

Math-Terpieces: The Art of Problem-Solving more books like this

by Greg Tang, Greg Paprocki (Illustrator)

A series of rhymes about artists and their works introduces counting and grouping numbers, as well as such artistic styles as cubism, pointillism, and surrealism.

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Naive Set Theory

Naive Set Theory more books like this

by Paul R. Halmos

From the Reviews: "...He (the author) uses the language and notation of ordinary informal mathematics to state the basic set-theoretic facts which a beginning student of advanced mathematics needs to know...Because of the informal method of presentation, the book is eminently suited for use as a textbook or for self-study. The reader should derive ...

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Set theory and the continuum hypothesis

Set theory and the continuum hypothesis more books like this

by Paul J Cohen

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Axiomatic Set Theory

Axiomatic Set Theory more books like this

by Patrick Suppes

By means of the Zermelo-Fraenkel system, Suppes provides best treatment of axiomatic set theory on upper undergraduate and graduate levels. Topics include relations and functions, equipollence, finite sets and cardinal numbers, rational and real numbers, more

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The Joy of Sets: Fundamentals of Contemporary Set Theory

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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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 for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars and lay people alike. The theory of infinite sets lies at the heart of much of mathematics, yet is has produced a series of paradoxes that have led many scholars to doubt the soundness of its foundations. The ...

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Theory of sets.

Theory of sets. more books like this

by E. Kamke

Lucid introduction to theory of sets, surveying discoveries of Cantor, Russell, Weierstrass, Zermelo, Bernstein, Dedekind, etc.

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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.

If you want top grades and thorough understanding of set theory and related topics, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you 530 accompanying related problems with fully worked solutions. You also get plenty of practice problems to do on your own, working at your own speed ...

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More, Fewer, Less

More, Fewer, Less more books like this

by Tana Hoban

With every click of her camera, Tana Hoban zooms in on a new discovery. Where are there more? Or fewer? Or where is there less? The questions and answers depend on what (and how) one sees.'

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The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs

The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs more books like this

by Antonella Cupillari

"The Nuts and Bolts of Proof" instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten. A flow chart ...

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An Introduction to Mathematical Reasoning 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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Elements of the Topology of Plane Sets of Points more books like this

by M H A Newman

This book provides an elementary introduction to the ideas and methods of topology by the detailed study of certain topics. There are elegant but rigorous proofs of many of the basic theorems and special attention is given to the results needed in the theory of functions.

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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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Infinity and the Mind: The Science and Philosophy of the Infinite more books like this

by Rudy Von B Rucker

In "Infinity and the Mind", Rudy Rucker leads an excursion to that stretch of the universe he calls the "Mindscape," where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Rucker acquaints us with Godel's rotating universe, in which it is theoretically possible to travel into the past ...

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The Banach-Tarski paradox more books like this

by S Wagon

The Banach-Tarski paradox is a most striking mathematical construction: it asserts that a solid ball may be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large as the original. This volume explores the consequences of the paradox for measure theory and its connections with group theory, ...

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Proofs and Fundamentals: A First Course in Abstract Mathematics more books like this

by Ethan D Bloch

This text is designed as a "transition" textbook to introduce undergraduates to the writing of vigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. It serves as a bridge between computational courses, e.g. calculus, and more theoretical, proofs-oriented courses such as linear ...

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Introduction to Mathematical Logic more books like this

by Elliott Mendelson

This classic in the field is a compact introduction to some of the basic topics of mathematical logic. Major changes in this edition include a new section on semantic trees; an expanded chapter on Axiomatic Set Theory; and full coverage of effective computability, where Turing computability is now the central notion and diagrams (flow-charts) are ...

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Notes on Set Theory more books like this

by Yiannis 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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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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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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Introduction to Mathematical Logic, Fourth Edition more books like this

by Elliott Mendelson, Mendelson Mendelson

The Fourth Edition of this long-established text retains all the key features of the previous editions, covering the basic topics of a solid first course in mathematical logic. This edition includes an extensive appendix on second-order logic, a section on set theory with urlements, and a section on the logic that results when we allow models with ...

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Algorithms for Random Generation and Counting: A Markov Chain Approach more books like this

by Alistair Sinclair

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Set Theory and Logic more books like this

by Robert R Stoll

Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.

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Logic, Induction and Sets more books like this

by Thomas Forster

This is an introduction to logic and the axiomatization of set theory from a unique standpoint. Philosophical considerations, which are often ignored or treated casually, are here given careful consideration, and furthermore the author places the notion of inductively defined sets (recursive datatypes) at the centre of his exposition resulting in ...

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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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