Conceptual Mathematics And Literature
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Conceptual Mathematics and Literature
The old practices of interpretation have been exhausted, and the humanities and social sciences are facing a crisis. Is there a way out of the labyrinth of reading? In this book, Professor Neuman presents a challenging approach to interpreting texts and reading literature through the spectacles of conceptual mathematics. This approach strives to avoid the simplicity of a quantitative approach to the analysis of literature as well as both the relativistic and the ideological dangers facing a qualitative reading of a text. The approach is introduced in a rigorous and accessible manner and woven with insights gained from various fields. Taking us on a challenging journey from Ovid’s Metamorphoses to Nick Cave’s The Death of Bunny Munro, the book shows how we may gain a deeper understanding of literature and the aesthetic experience of reading.
Mathematical Concepts
The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: · simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure · by itself as a first introduction to abstract mathematics · together with existing textbooks, to put their results into a more general perspective · to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detailed than standard mathematical textbooks so that the reader can readily grasp the essential concepts and ideas for individual needs. It will be suitable for advanced mathematicians, postgraduate students and for scientists from other fields with some background in formal reasoning.
Basic Concepts of Mathematics and Logic
Author: Michael C. Gemignani
language: en
Publisher: Courier Corporation
Release Date: 2004-01-01
This text emphasizes logic and the theory of sets. Students who take no further courses in the field will find it an excellent resource for developing an appreciation for the nature of mathematics. Others will discover the foundations for future studies — set theory, logic, counting, numbers, functions, and more. 1968 edition. 43 figures. 25 tables.