Set Theory 7

In fall 2000, the Notre Dame logic community hosted Greg Hjorth, Rodney G. Downey, Zoe Chatzidakis, and Paola D'Aquino as visiting lecturers. Each of them presented a month long series of expository……続きを見る

A compilation of articles about Intensionality in philosophy, logic, linguistics, and mathematics. The articles approach the concept of Intensionality from different perspectives. Some articles addr……続きを見る

This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, and mathematics students tackle commonly made errone……続きを見る

The model theory of fields is a fascinating subject stretching from Tarski's work on the decidability of the theories of the real and complex fields to Hrushovksi's recent proof of the Mordell-Lang ……続きを見る

A conference on Nonstandard Methods and Applications in Mathematics (NS2002) was held in Pisa, Italy from June 12-16, 2002. Nonstandard analysis is one of the great achievements of modern applied ma……続きを見る

A compilation of papers presented at the 1999 European Summer Meeting of the Association for Symbolic Logic, Logic Colloquium '99 includes surveys and research articles from some of the world's pree……続きを見る

Beyond calculus, the world of mathematics grows increasingly abstract and places new and challenging demands on those venturing into that realm. As the focus of calculus instruction has become incre……続きを見る

An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the mani……続きを見る

The study of polynomial completeness of algebraic systems has only recently matured, and until now, lacked a unified treatment. Polynomial Completeness in Algebraic Systems examines the entire field……続きを見る

Solomon Feferman has shaped the field of foundational research for nearly half a century. These papers, most of which were presented at the symposium honoring him at his 70th birthday, reflect his b……続きを見る

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 ……続きを見る

This compilation of papers presented at the 2000 European Summer Meeting of the Association for Symbolic Logic marks the centenial anniversery of Hilbert's famous lecture. Held in the same hall at L……続きを見る

Bridging the gap between procedural mathematics that emphasizes calculations and conceptual mathematics that focuses on ideas, Mathematics: A Minimal Introduction presents an undergraduate-level int……続きを見る

Reverse Mathematics is a program of research in the foundations of mathematics, motivated by the foundational questions of what are appropriate axioms for mathematics, and what are the logical stren……続きを見る

This classic is an ideal introduction for students into the methodology and thinking of higher mathematics. It covers material not usually taught in the more technically-oriented introductory classe……続きを見る

Logic Colloquium '02 includes articles from some of the world's preeminent logicians. The topics span all areas of mathematical logic, but with an emphasis on Computability Theory and Proof Theory. ……続きを見る

Logicism, as put forward by Bertrand Russell, was predicated on a belief that all of mathematics can be deduced from a very small number of fundamental logical principles. In Logicism Renewed, the a……続きを見る

This book presents a study on the foundations of a large class of paraconsistent logics from the point of view of the logics of formal inconsistency. It also presents several systems of non-standard……続きを見る

Limits of Computation: An Introduction to the Undecidable and the Intractable offers a gentle introduction to the theory of computational complexity. It explains the difficulties of computation, add……続きを見る

Applicable to any problem that requires a finite number of solutions, finite state-based models (also called finite state machines or finite state automata) have found wide use in various areas of c……続きを見る

Over the past 20 years, the emergence of clone theory, hyperequational theory, commutator theory and tame congruence theory has led to a growth of universal algebra both in richness and in applicati……続きを見る

This book presents both axiomatic and descriptive set theory, targeting upper-level undergraduate and beginning graduate students. It aims to equip them for advanced studies in set theory, mathemati……続きを見る

Contemporary students of mathematics differ considerably from those of half a century ago. In spite of this, many textbooks written decades ago, and now considered to be “classics”, are still prescr……続きを見る

This volume celebrates the research contributions of Professors Theodore A Slaman and W Hugh Woodin, marking their distinguished careers in higher recursion theory and set theory as they approached ……続きを見る

FROM THE BESTSELLING AUTHOR OF PROFESSOR STEWART'S CABINET OF MATHEMATICAL CURIOSITIES 'A superlative study of superlatives' GUARDIAN 'Britain's most brilliant and prolific populariser of maths' ALE……続きを見る

Dieses Buch erklärt kurz und prägnant die Forschung zum faszinierenden mengentheoretischen Unabhängigkeitsphänomen: Zahlreiche mengentheoretische Sätze sind gemäß den Standardaxiomen weder beweisbar……続きを見る

Die theoretischen Annahmen der folgenden mathematischen Themen werden in diesem Buch vorgestellt: mathematische Logik Mengenlehre Funktionstheorie wörtliche Rechnung Eigenschaften von Potenzen und R……続きを見る

Os pressupostos teóricos dos seguintes tópicos matemáticos são apresentados neste livro: lógica matemática teoria de conjuntos teoria da função cálculo literal Propriedades de potências e radicais c……続きを見る

This book provides a mathematical approach to music composition. Although this topic has attracted significant attention, existing efforts focus on algebra and number theory. We add to the literatur……続きを見る

In a world where technology accelerates faster than ever, the landscape of investing is undergoing a revolutionary transformation. Navigating Modern Investment is your comprehensive guide to underst……続きを見る