Logic 29

The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and wri……続きを見る

Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other ……続きを見る

This book revises and expands upon the prior edition, The Navier-Stokes Problem. The focus of this book is to provide a mathematical analysis of the Navier-Stokes Problem (NSP) in R^3 without bounda……続きを見る

For Gödel’s theorems there are truths that escape axiomatic systems. This phenomenon in mathematical logic is called incompleteness. This book deals precisely with mathematical truths that axiomatic……続きを見る

Calculi of temporal logic are widely used in modern computer science. The temporal organization of information flows in the different architectures of laptops, the Internet, or supercomputers would ……続きを見る

This is a collection of new investigations and discoveries on the history of a great tradition, the Lvov-Warsaw School of logic and mathematics, by the best specialists from all over the world. The ……続きを見る

While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is cube root of 2 with the……続きを見る

This book, now in a thoroughly revised second edition, provides a comprehensive and accessible introduction to modern set theory. Following an overview of basic notions in combinatorics and first-or……続きを見る

Gerhard Gentzen is best known for his development of the proof systems of natural deduction and sequent calculus, central in many areas of logic and computer science today. Another noteworthy achiev……続きを見る

This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology. Although these objects mirror the matrices that app……続きを見る

The goal of this monograph is to give an accessible introduction to nonstandard methods and their applications, with an emphasis on combinatorics and Ramsey theory. It includes both new nonstandard ……続きを見る

This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof……続きを見る

This textbook offers a detailed introduction to the methodology and applications of sequent calculi in propositional logic. Unlike other texts concerned with proof theory, emphasis is placed on illu……続きを見る

This textbook provides a concise and self-contained introduction to mathematical logic, with a focus on the fundamental topics in first-order logic and model theory. Including examples from several ……続きを見る

This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. ……続きを見る

This textbook introduces enumerative combinatorics through the framework of formal languages and bijections. By starting with elementary operations on words and languages, the authors paint an insig……続きを見る

This textbook offers an extensive list of completely solved problems in mathematical analysis. This first of three volumes covers sets, functions, limits, derivatives, integrals, sequences and serie……続きを見る

This monograph explores the logical systems of early logicians in the Arabic tradition from a theoretical perspective, providing a complete panorama of early Arabic logic and centering it within an ……続きを見る

The chapters in this timely volume aim to answer the growing interest in Arthur Schopenhauer’s logic, mathematics, and philosophy of language by comprehensively exploring his work on mathematical ev……続きを見る

This book, for a first undergraduate course in Discrete Mathematics, systematically exploits the relationship between discrete mathematics and computer programming. Unlike most discrete mathematics ……続きを見る

This essential text by one of the founders of modern philosophy offers an accessible introduction to his views on logic, aesthetics, and morality. Written during the height of the Enlightenment, Imm……続きを見る

This illuminating history explores the complex relationship between mathematics, religious belief, and Victorian culture. Throughout history, application rather than abstraction has been the promine……続きを見る

Join original Vienna Circle member Victor Kraft in his discussion of the movement for an exclusive insider’s view of this important point in philosophical history. In this in-depth philosophical stu……続きを見る

Samson Abramsky’s wide-ranging contributions to logical and structural aspects of Computer Science have had a major influence on the field. This book is a rich collection of papers, inspired by and ……続きを見る

Die Schulmathematik vermittelt meist nur einen sehr eingeschränkten Einblick in die beweisorientierte und axiomatisch aufgebaute moderne Mathematik – Studienanfänger werden daher oft unvorbereitet v……続きを見る

En los contrarios y la tensión entre ellos, constituyentes del ser humano, William Blake descubrió fuerzas poéticas o creativas; el hombre es la unidad en la que se integran el paraíso y el infierno……続きを見る

Model theory is the meta-mathematical study of the concept of mathematical truth. After Afred Tarski coined the term Theory of Models in the early 1950’s, it rapidly became one of the central most a……続きを見る

An introductory textbook, Logic for Justice covers, in full detail, the language and semantics of both propositional logic and first-order logic. It motivates the study of those logical systems by d……続きを見る

This handbook of formal analysis in cryptography is very important for secure communication and processing of information. It introduces readers to several formal verification methods and software u……続きを見る

This textbook is aimed at transitioning high-school students who have already developed proficiency in mathematical problem solving from numerical-answer problems to proof-based mathematics. It serv……続きを見る