Set theory can be rigorously and profitably studied through an intuitive approach, thus independently of formal logic. T......more

This book introduces the basic concepts of set theory, measure theory, the axiomatic theory of probability, random varia......more

Irrationality and Transcendence in Number Theory tells the story of irrational numbers from their discovery in the days ......more

This book provides a comprehensive introduction to set theory and the foundations of arithmetic. Landin and Hamilton’s c......more

This book presents an exploration of set theory and the mathematical representation of families of sets. It includes dis......more

This book presents an exploration of set theory and the mathematical representation of families of sets. It includes dis......more

This monograph, for the first time in book form, considers the large structure of metric spaces as captured by bornologi......more

The unicycle provides a singular image of balance and impending peril, lifted by whimsy for the weighty subject of this ......more

A First Course in Fuzzy Logic, Fourth Edition is an expanded version of the successful third edition. It provides a comp......more

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization......more

This CoPart is a dual complement to Visual Category Theory Brick by Brick, Part 2. The original series translated abstra......more

Math class can be a frustrating place for many children, but it doesn’t have to be that way. When a student understands ......more

This CoPart is a dual complement to Visual Category Theory Brick by Brick, Part 1. The original series translated abstra......more

Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applic......more

Throughout the history of all humanity, including the native people in the western hemisphere, God made his existence kn......more

This book provides an introduction to mathematical logic and the foundations of mathematics. It will help prepare studen......more

This book tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the w......more

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The Center and Focus Problem: Algebraic Solutions and Hypotheses, M. N. Popa and V.V. Pricop, ISBN: 978-1-032-01725-9 (H......more

The Center and Focus Problem: Algebraic Solutions and Hypotheses, M. N. Popa and V.V. Pricop, ISBN: 978-1-032-01725-9 (H......more

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Algebra & Geometry: An Introduction to University Mathematics, Second Edition provides a bridge between high school and ......more

A comprehensive work in finite-value systems that covers the latest achievements using the semi-tensor product method, o......more

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Originally published in 1973. This book is directed to the student of philosophy whose background in mathematics is very......more

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In recent years, substantial efforts are being made in the development of reliability theory including fuzzy reliability......more

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Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematics majors who have co......more

Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematics majors who have co......more

Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applic......more

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This text is intended as an introduction to mathematical proofs for students. It is distilled from the lecture notes for......more

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Fuzzy social choice theory is useful for modeling the uncertainty and imprecision prevalent in social life yet it has be......more

An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor ......more

In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area ......more

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Beyond calculus, the world of mathematics grows increasingly abstract and places new and challenging demands on those ve......more

A mathematical exploration of the popular card game SET Have you ever played the addictive card game SET? Have you ever ......more

Formal Methods in Computer Science gives students a comprehensive introduction to formal methods and their application i......more

Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error anal......more

Written by a prominent analyst Paul R. Halmos, this is the most famous, popular, and widely used textbook in the subject......more

Written by a prominent analyst Paul R. Halmos, this is the most famous, popular, and widely used textbook in the subject......more

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A First Course in Fuzzy Logic, Fourth Edition is an expanded version of the successful third edition. It provides a comp......more

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A comprehensive work in finite-value systems that covers the latest achievements using the semi-tensor product method, o......more

The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all. The Univer......more

The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all. The Univer......more

This comprehensive two-volume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff’s......more

This comprehensive two-volume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff’s......more

A Concrete Introduction to Analysis, Second Edition offers a major reorganization of the previous edition with the goal ......more

Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an int......more

Essentials of Mathematical Thinking addresses the growing need to better comprehend mathematics today. Increasingly, our......more

Essentials of Mathematical Thinking addresses the growing need to better comprehend mathematics today. Increasingly, our......more

’A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.’The Mathema......more

’A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.’The Mathema......more

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leadi......more

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leadi......more

Exploring the Infinite addresses the trend toward a combined transition course and introduction to analysis course. It g......more

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Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical inductio......more

Applicable to any problem that requires a finite number of solutions, finite state-based models (also called finite stat......more

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’Circularity’ is the story of a Janus-faced conceptual structure, that on the one hand led to deep scientific discoverie......more

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This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new tec......more

Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematic......more

This volume presents the lecture notes of short courses given by three leading experts in mathematical logic at the 2010......more

The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topic......more