Foundations and Fundamental Concepts of Mathematics
This third edition of a popular, well-received text offers undergraduates an opportunity to obtain an overview of the historical roots and the evolution of several areas of mathematics.
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LibraryThing ReviewUser Review - LibraryThing
This is an excellent book tracing the history of deductive procedures and key concepts relevant to the foundation of modern mathematics, specific focus on deductive axiomatics and the utility of generality. The book starts with babylonian and egyptian empirical mathematics which were based upon experience and induction, contrast them to deduction, and then moves onto material axiomatics and Euclids elements. Next we encounter non-euclidiean geometry as a shaking up in the foundations of math, and then we encounter generalizations of geometry and hilberts axiomatic treatment of geometry. Following this we get an introduction to algebraic structure with comments on algebra before it was realized that the laws of "normal" algebra could be dropped (eg: commutation) -- called here "the liberation of algebra, analagous to the liberation of geometry (dropping the parallel postulate) -- to give way to new (and useful) structures such as Hamilton's Quaternions, and Caley's Matrices. Fields, and ordered fields are presented. Groups are presented along with their utility to geometry. In the problems you can get introduced to other structures as well, such as rings. Next up we get a full statement of the formal axiomatic method and it's importance to pure mathematics. Pure mathematics is contrasted to applied mathematics which in this view is verifying concrete models or interpretations of a pure systems. Illuminatings examples are given. Finally in the last three chapters you see an overview of how to construct the real numbers based on the smaller axiom set of the naturals following a chain of definitional introductions naturals => integers => rationals => reals => complex numbers and what this means for the foundations of math. Then you get a brief intro to set theory and logic along discussions on some of the philosophic issues. Splendid book. You can read this with no background whatsoever and you will come away having learned many important concepts and notions which will serve you very well if you continue to take the path of exploring the world of mathematics.
Review: Foundations and Fundamental Concepts of Mathematics (Dover Books on Mathematics)User Review - sologdin - Goodreads
Cool little history that starts in the ancient world and works through modern development of formal axiomatics (Gödel noted as crushing formal axiomatics, which everyone noted and then yawned). Read full review
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An Interactive Introduction to Mathematical Analysis
Limited preview - 2003
JSTOR: An Introduction to the Foundations and Fundamental Concepts ...
An Introduction to the Foundations and Fundamental Concepts of Mathematics. By Howard Eves and Carroll V. Newsom. Rinehart, New York, 1958. xv q-363 pp. ...
Phil 411, Fall 2007 (Syllabus)
Howard Eves: Foundations and Fundamental Concepts of Mathematics, third edition, Dover, 1997. Both books are available at The Word Bookstore, ...
www.phil.cmu.edu/ dschlimm/ 411/ syllabus.html
book.store.bg - Foundations and Fundamental Concepts of ...
Like the title says, Eves' text is a historical analysis and introduction to the foundations and fundamental concepts of mathematics. If you are interested ...
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Publisher description for Library of Congress control number 97008057
Publisher description for Foundations and fundamental concepts of mathematics / Howard Eves. Bibliographic record and links to related information available ...
catdir.loc.gov/ catdir/ description/ dover032/ 97008057.html
Skeptical Inquirer: Science best sellers: top ten best sellers
1 Foundations and Fundamental Concepts of Mathematics. Howard Eves. 2 How to Grow Fresh Air: 50 Houseplants That Purify Your Home or Office. bc Wolverton ...
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Powell's Books - Foundations & Fundamental Concepts O 3RD Edition ...
This third edition of a popular, well-received text offers undergraduates an opportunity to obtain an overview of the historical roots and the evolution of ...
www.powells.com/ partner/ 31879/ biblio/ 048669609X/
Foundations and Fundamental Concepts of Mathematics : AV女優のエロ ...
Foundations and Fundamental Concepts of Mathematics 定価： ￥ 1997 販売価格： ￥ 1769 人気ランキング： 80628位おすすめ度： 発売日： 1997-05 ...
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-1%, 4.71, Foundations and Fundamental Concepts of Mathematics (Dover books on mathematics) ~ Howard Eves - Carroll V. Newson Dover Publications. ...
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Foundations and Fundamental Concepts of Mathematics,3rd edition (Paperback) · foundations and fundamental co.. Howard EvesDover Publications1997.05.01 ...