This book offers a concise introduction to both proof-theory and algebraic methods, the core of the syntactic and semantic study of logic respectively.
This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view.
British-Israeli recreational mathematician, communicator and educator, Yossi Elran explores in-depth six of the most ingenious math puzzles, exposing their long 'tails': the stories, trivia, quirks and oddities of their history and, of course, the math and mathematicians behind them.
Innovative Teaching: Best Practices from Business and Beyond for Mathematics Teachers provides educators with new and exciting ways to introduce material and methods to motivate and engage students by showing how some of the techniques commonly used in the business world - and beyond - are applicable to the world of education.
The study of higher dimensional categories has mostly been developed in the globular form of 2-categories, n-categories, omega-categories and their weak versions.
This volume brings together a group of logic-minded philosophers and philosophically oriented logicians, mainly from Asia, to address a variety of logical and philosophical topics of current interest, offering a representative cross-section of the philosophical logic landscape in early 21st-century Asia.
Carlos Vasco hace una aproximación magnífica, en su particular estilo agudo y a la vez sencillo, a un tema realmente complejo, subvalorado y, sin embargo, fundamental para el desarrollo del pensamiento de la juventud de nuestra nación: la educación matemática en la formación básica, media y universitaria.
El texto ha sido concebido como material de soporte del curso de Matemática fundamental que ofrece el Departamento de Matemáticas de la Universidad del Valle.
El razonamiento lógico obedece a un encadenamiento de premisas en las que las reglas aceptadas como válidas se aplican, eslabón por eslabón, hasta producir las conclusiones, que es lo que se denomina la consecuencia lógica.
El propósito de este texto es mostrar cómo algunos conceptos matemáticos, como fracción, porcentaje, medias aritméticas y variación porcentual, se aplican en situaciones de la vida cotidiana.
El propósito de este libro es brindar los conceptos fundamentales de las señales y los sistemas, todos ellos acompañados de la descripción matemática que los sustenta y apoyado de algunas representaciones gráficas necesarias para dar claridad a lo tratado.
Temas como Lógica, Sistemas numéricos, Funciones y variación son tratados en este texto de uan manera dináica y creativa con el propósito de permitir a los estudiantes potenciar su pensamiento cuantitativo y la aplicación de este a la vida real.
El propósito de este texto es mostrar cómo algunos conceptos matemáticos, como fracción, porcentaje, medias aritméticas y variación porcentual, se aplican en situaciones de la vida cotidiana.
Temas como Lógica, Sistemas numéricos, Funciones y variación son tratados en este texto de uan manera dináica y creativa con el propósito de permitir a los estudiantes potenciar su pensamiento cuantitativo y la aplicación de este a la vida real.
El propósito de este texto es mostrar cómo algunos conceptos matemáticos (fracción, porcentaje, medias aritméticas y variación porcentual) se aplican en situaciones de la vida cotidiana.
Temas como la lógica, sistemas numéricos, funciones y variación son tratados en este texto de una manera dinámica y creativa con el propósito de permitir a los estudiantes potenciar su pensamiento cuantitativo y la aplicación de éste a la vida real.
El libro Métodos Numéricos, ha sido escrito para que estudiantes y profesionales de las diferentes Ingenierías y Ciencias Exactas, logren una comprensión de los métodos fundamentales.
The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002).
Action theory is the object of growing attention in a variety of scientific disciplines and this is the first volume to offer a synthetic view of the range of approaches possible in the topic.
Ranging from Alan Turing's seminal 1936 paper to the latest work on Kolmogorov complexity and linear logic, this comprehensive new work clarifies the relationship between computability on the one hand and constructivity on the other.
Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis.
Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given, not by its truth-conditions, but in terms of what constructions count as a proof of it.
Substructural logics are by now one of the most prominent branches of the research field usually labelled as "e;nonclassical logics"e; - and perhaps of logic tout court.
Simplicity theory is an extension of stability theory to a wider class of structures, containing, among others, the random graph, pseudo-finite fields, and fields with a generic automorphism.
Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions.
Quantum Structures and the Nature of Reality is a collection of papers written for an interdisciplinary audience about the quantum structure research within the International Quantum Structures Association.
Proof Theory of Modal Logic is devoted to a thorough study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations etc.
hiS volume in the Synthese Library Series is the result of a conference T held at the University of Roskilde, Denmark, October 31st-November 1st, 1997.
"e;In the mathematics I can report no deficience, except that it be that men do not sufficiently understand the excellent use of the pure mathematics, in that they do remedy and cure many defects in the wit and faculties intellectual.
The thirty-one papers collected in this volume represent most of the arti- cles that I have published in the philosophy of science and related founda- tional areas of science since 1970.
The IOth International Congress of Logic, Methodology and Philosophy of Science, which took place in Florence in August 1995, offered a vivid and comprehensive picture of the present state of research in all directions of Logic and Philosophy of Science.
Domains are mathematical structures for information and approximation; they combine order-theoretic, logical, and topological ideas and provide a natural framework for modelling and reasoning about computation.
The present monograph is a slightly revised version of my Habilitations- schrift Proof-theoretic Aspects of Intensional and Non-Classical Logics, successfully defended at Leipzig University, November 1997.
Proof theory and category theory were first drawn together by Lambek some 30 years ago but, until now, the most fundamental notions of category theory (as opposed to their embodiments in logic) have not been explained systematically in terms of proof theory.
