Mathematics Models And Modality
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Author | : John P. Burgess |
Publisher | : Cambridge University Press |
Total Pages | : 253 |
Release | : 2008-02-21 |
Genre | : Science |
ISBN | : 113947054X |
John Burgess is the author of a rich and creative body of work which seeks to defend classical logic and mathematics through counter-criticism of their nominalist, intuitionist, relevantist, and other critics. This selection of his essays, which spans twenty-five years, addresses key topics including nominalism, neo-logicism, intuitionism, modal logic, analyticity, and translation. An introduction sets the essays in context and offers a retrospective appraisal of their aims. The volume will be of interest to a wide range of readers across philosophy of mathematics, logic, and philosophy of language.
Author | : Robert Goldblatt |
Publisher | : Center for the Study of Language and Information Publications |
Total Pages | : 288 |
Release | : 1993-10-01 |
Genre | : Mathematics |
ISBN | : 9781881526230 |
Modal logic is the study of modalities - expressions that qualify assertions about the truth of statements - like the ordinary language phrases necessarily, possibly, it is known/believed/ought to be, etc., and computationally or mathematically motivated expressions like provably, at the next state, or after the computation terminates. The study of modalities dates from antiquity, but has been most actively pursued in the last three decades, since the introduction of the methods of Kripke semantics, and now impacts on a wide range of disciplines, including the philosophy of language and linguistics ('possible words' semantics for natural language), constructive mathematics (intuitionistic logic), theoretical computer science (dynamic logic, temporal and other logics for concurrency), and category theory (sheaf semantics). This volume collects together a number of the author's papers on modal logic, beginning with his work on the duality between algebraic and set-theoretic modals, and including two new articles, one on infinitary rules of inference, and the other about recent results on the relationship between modal logic and first-order logic. Another paper on the 'Henkin method' in completeness proofs has been substantially extended to give new applications. Additional articles are concerned with quantum logic, provability logic, the temporal logic of relativistic spacetime, modalities in topos theory, and the logic of programs.
Author | : Sandip Banerjee |
Publisher | : CRC Press |
Total Pages | : 276 |
Release | : 2014-02-07 |
Genre | : Mathematics |
ISBN | : 1482229161 |
Almost every year, a new book on mathematical modeling is published, so, why another? The answer springs directly from the fact that it is very rare to find a book that covers modeling with all types of differential equations in one volume. Until now. Mathematical Modeling: Models, Analysis and Applications covers modeling with all kinds of differe
Author | : Richard Haberman |
Publisher | : SIAM |
Total Pages | : 419 |
Release | : 1998-12-01 |
Genre | : Mathematics |
ISBN | : 9781611971156 |
The author uses mathematical techniques along with observations and experiments to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow. Equal emphasis is placed on the mathematical formulation of the problem and the interpretation of the results. In the sections on mechanical vibrations and population dynamics, the author emphasizes the nonlinear aspects of ordinary differential equations and develops the concepts of equilibrium solutions and their stability. He introduces phase plane methods for the nonlinear pendulum and for predator-prey and competing species models. Haberman develops the method of characteristics to analyze the nonlinear partial differential equations that describe traffic flow. Fan-shaped characteristics describe the traffic situation that occurs when a traffic light turns green and shock waves describe the effects of a red light or traffic accident. Although it was written over 20 years ago, this book is still relevant. It is intended as an introduction to applied mathematics, but can be used for undergraduate courses in mathematical modeling or nonlinear dynamical systems or to supplement courses in ordinary or partial differential equations.
Author | : Walter J. Meyer |
Publisher | : Courier Corporation |
Total Pages | : 450 |
Release | : 2012-10-23 |
Genre | : Mathematics |
ISBN | : 0486137244 |
Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each section is preceded by an abstract and statement of prerequisites, and answers or hints are provided for selected exercises. 1984 edition.
Author | : Peter Lancaster |
Publisher | : |
Total Pages | : 184 |
Release | : 1976 |
Genre | : Mathematics |
ISBN | : |
Author | : COMAP |
Publisher | : Macmillan |
Total Pages | : 612 |
Release | : 2001-06-15 |
Genre | : Mathematics |
ISBN | : 9780716744580 |
An innovative course that offers students an exciting new perspective on mathematics, Mathematical Models with Applications explores the same types of problems that math professionals encounter daily. The modeling process--forming a theory, testing it, and revisiting it based on the results of the test--is critical for learning how to think mathematically. Demonstrating this ability can open up a wide range of educational and professional opportunities for students. Mathematical Models with Applications has been designed for students who have completed Algebra I or Geometry and see this as the final course in their high school mathematics sequence, or who would like additional math preparation before Algebra II. Mathematical Models with Applications ListServ As a service to instructors using Mathematical Models with Applications, a listserv has been designed as a forum to share ideas, ask questions and learn new ways to enhance the learning experience for their students.
Author | : Edward A. Bender |
Publisher | : Courier Corporation |
Total Pages | : 274 |
Release | : 2000-03-06 |
Genre | : Mathematics |
ISBN | : 9780486411804 |
Accessible text features over 100 reality-based examples pulled from the science, engineering and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.
Author | : Crista Arangala |
Publisher | : CRC Press |
Total Pages | : 317 |
Release | : 2018-01-31 |
Genre | : Mathematics |
ISBN | : 1498770738 |
Mathematical Modeling: Branching Beyond Calculus reveals the versatility of mathematical modeling. The authors present the subject in an attractive manner and flexibley manner. Students will discover that the topic not only focuses on math, but biology, engineering, and both social and physical sciences. The book is written in a way to meet the needs of any modeling course. Each chapter includes examples, exercises, and projects offering opportunities for more in-depth investigations into the world of mathematical models. The authors encourage students to approach the models from various angles while creating a more complete understanding. The assortment of disciplines covered within the book and its flexible structure produce an intriguing and promising foundation for any mathematical modeling course or for self-study. Key Features: Chapter projects guide more thorough investigations of the models The text aims to expand a student’s communication skills and perspectives WThe widespread applications are incorporated, even includinge biology and social sciences Its structure allows it to serve as either primary or supplemental text Uses Mathematica and MATLAB are used to develop models and computations
Author | : Jerzy A. Filar |
Publisher | : EOLSS Publications |
Total Pages | : 510 |
Release | : 2009-09-19 |
Genre | : Mathematical models |
ISBN | : 1848262434 |
Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.