Logical Foundations of Mathematics and Computational Complexity

A Gentle Introduction

Nonfiction, Science & Nature, Mathematics, Logic, Applied
Cover of the book Logical Foundations of Mathematics and Computational Complexity by Pavel Pudlák, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Pavel Pudlák ISBN: 9783319001197
Publisher: Springer International Publishing Publication: April 22, 2013
Imprint: Springer Language: English
Author: Pavel Pudlák
ISBN: 9783319001197
Publisher: Springer International Publishing
Publication: April 22, 2013
Imprint: Springer
Language: English

The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computational Complexity covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability.

Emphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs.

Logical Foundations of Mathematics and Computational Complexity is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computational Complexity covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability.

Emphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs.

Logical Foundations of Mathematics and Computational Complexity is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory.

More books from Springer International Publishing

Cover of the book Astronomy of the Milky Way by Pavel Pudlák
Cover of the book Information Sciences and Systems 2015 by Pavel Pudlák
Cover of the book Variational Analysis and Aerospace Engineering by Pavel Pudlák
Cover of the book Cardiovascular System, Red Blood Cells, and Oxygen Transport in Microgravity by Pavel Pudlák
Cover of the book Image and Graphics by Pavel Pudlák
Cover of the book Heat Transfer Modeling by Pavel Pudlák
Cover of the book Concentrating Photovoltaics (CPV): The Path Ahead by Pavel Pudlák
Cover of the book Electronic Government by Pavel Pudlák
Cover of the book The Consequences of Mobility by Pavel Pudlák
Cover of the book REACH Beyond Borders by Pavel Pudlák
Cover of the book The International Legal Responsibility of the European Union in the Context of the World Trade Organization in Areas of Non-Conferred Competences by Pavel Pudlák
Cover of the book Control Strategies for Advanced Driver Assistance Systems and Autonomous Driving Functions by Pavel Pudlák
Cover of the book The Dark Side of Globalisation by Pavel Pudlák
Cover of the book Thermal Stresses—Advanced Theory and Applications by Pavel Pudlák
Cover of the book Lectures on Formal and Rigid Geometry by Pavel Pudlák
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy