A Structuralist Approach to Applying Mathematics
Author: Chris John Pincock
Publisher: Ann Arbor, Mich. : University Microfilms International
Published: 2002
Total Pages: 644
ISBN-13:
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Author: Chris John Pincock
Publisher: Ann Arbor, Mich. : University Microfilms International
Published: 2002
Total Pages: 644
ISBN-13:
DOWNLOAD EBOOKAuthor: Geoffrey Hellman
Publisher: Cambridge University Press
Published: 2018-11-29
Total Pages: 167
ISBN-13: 110863074X
DOWNLOAD EBOOKThe present work is a systematic study of five frameworks or perspectives articulating mathematical structuralism, whose core idea is that mathematics is concerned primarily with interrelations in abstraction from the nature of objects. The first two, set-theoretic and category-theoretic, arose within mathematics itself. After exposing a number of problems, the Element considers three further perspectives formulated by logicians and philosophers of mathematics: sui generis, treating structures as abstract universals, modal, eliminating structures as objects in favor of freely entertained logical possibilities, and finally, modal-set-theoretic, a sort of synthesis of the set-theoretic and modal perspectives.
Author: Mustafa Emre Civelek
Publisher: Lulu.com
Published: 2018-03-12
Total Pages: 120
ISBN-13: 1609621298
DOWNLOAD EBOOKStructural Equation Modeling is a statistical method increasingly used in scientific studies in the fields of Social Sciences. It is currently a preferred analysis method, especially in doctoral dissertations and academic researches. Many universities do not include this method in the curriculum, so students and scholars try to solve these problems using books and internet resources. This book aims to guide the researcher in a way that is free from math expressions. It teaches the steps of a research program using structured equality modeling practically. For students writing theses and scholars preparing academic articles, this book aims to analyze systematically the methodology of studies conducted using structural equation modeling methods in the social sciences. In as simple language as possible, it conveys basic information. It consists of two parts: the first gives basic concepts of structural equation modeling, and the second gives examples of applications.
Author: Charles S. Chihara
Publisher: Clarendon Press
Published: 2004
Total Pages: 395
ISBN-13: 0199267537
DOWNLOAD EBOOKCharles Chihara's new book develops and defends a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. The view is used to show that, in order to understand how mathematical systems areapplied in science and everyday life, it is not necessary to assume that its theorems either presuppose mathematical objects or are even true.Chihara builds upon his previous work, in which he presented a new system of mathematics, the constructibility theory, which did not make reference to, or presuppose, mathematical objects. Now he develops the project further by analysing mathematical systems currently used by scientists to show howsuch systems are compatible with this nominalistic outlook. He advances several new ways of undermining the heavily discussed indispensability argument for the existence of mathematical objects made famous by Willard Quine and Hilary Putnam. And Chihara presents a rationale for the nominalisticoutlook that is quite different from those generally put forward, which he maintains have led to serious misunderstandings.A Structural Account of Mathematics will be required reading for anyone working in this field.
Author: Lowell W. Beineke
Publisher: Cambridge University Press
Published: 2012-11-08
Total Pages: 346
ISBN-13: 1107244307
DOWNLOAD EBOOKThe rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide scope. Ortrud R. Oellermann (Winnipeg), internationally recognised for her substantial contributions to structural graph theory, acted as academic consultant for this volume, helping shape its coverage of key topics. The result is a collection of thirteen expository chapters, each written by acknowledged experts. These contributions have been carefully edited to enhance readability and to standardise the chapter structure, terminology and notation throughout. An introductory chapter details the background material in graph theory and network flows and each chapter concludes with an extensive list of references.
Author: Andrej Cherkaev
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 561
ISBN-13: 1461211883
DOWNLOAD EBOOKThis book bridges a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in sufficiently simple form as to make them available for practical use.
Author: Michael D. Resnik
Publisher: Clarendon Press
Published: 1997-07-31
Total Pages: 300
ISBN-13: 0191519006
DOWNLOAD EBOOKMathematics as a Science of Patterns is the definitive exposition of a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defence of realism about the metaphysics of mathematics—the view that mathematics is about things that really exist. Resnik's distinctive philosophy of mathematics is here presented in an accessible and systematic form: it will be of value not only to specialists in this area, but to philosophers, mathematicians, and logicians interested in the relationship between these three disciplines, or in truth, realism, and epistemology.
Author: Gregory Z. Bedny
Publisher: CRC Press
Published: 2014-12-18
Total Pages: 438
ISBN-13: 148225803X
DOWNLOAD EBOOKThis book offers analytical methods for studying human work in ergonomics and psychology that are similar to ones utilized by the engineering sciences. SSAT offers not only new qualitative but also formalized and quantitative methods of analysis. This book will describe quantitative methods of task complexity and reliability assessment, application
Author: Geoffrey Hellman
Publisher: Clarendon Press
Published: 1989-10-12
Total Pages: 172
ISBN-13: 019152011X
DOWNLOAD EBOOKGeoffrey Hellman presents a detailed interpretation of mathematics as the investigation of structural possibilities, as opposed to absolute, Platonic objects. After dealing with the natural numbers and analysis, he extends his approach to set theory, and shows how to dispense with a fixed universe of sets. Finally, he addresses problems of application to the physical world.
Author: Naďa Stehlíková
Publisher: Nada Stehlikova
Published: 2004
Total Pages: 251
ISBN-13: 8072901729
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