File Name: howard eves foundations and fundamental concepts of mathematics .zip
The historical evolution of the changing nature of mathematics is the underlying theme of this book. In this third edition, the readable writing style and challenging exercises have been continued and extended. Read more Table of contents. Please choose whether or not you want other users to be able to see on your profile that this library is a favorite of yours.
The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition. This is a specialized math history book that looks at the growth of axiomatics. It starts out even before there were axioms, with some approximate geometric formulas developed by the ancient Egyptians and Babylonians, and follows how things got gradually more formal and rigorous up through the foundational crises and the development of mathematical logic in the early twentieth century.
The intended use is probably as a textbook for an elective course for upper-division undergraduate math majors, or possibly for pre-service teachers. The book includes a lot of detailed technical information, but does not develop much mathematics per se and does not require previous knowledge.
The present volume is a Dover reprint of the third edition from PWS-Kent; the earlier editions were in and The book is interesting because it looks both at the forces that led to more axiomatization and at the increased abstraction that an axiomatic approach led to. The coverage is slanted towards geometry, but there is also a good bit on logic and set theory.
I thought the coverage of real analysis was weak. I have not seen the companion book, but it appears to be a comprehensive and straightforward history of math. The book has an enormous number of exercises, of various sorts. Many are drill and some ask for proofs of simple theorems stated in the body; none seem very difficult. The most interesting ones give a fallacious argument and ask the student to debunk it.
Allen Stenger is a math hobbyist and retired software developer. He is an editor of the Missouri Journal of Mathematical Sciences. His mathematical interests are number theory and classical analysis.
Skip to main content. Search form Search. Login Join Give Shops. Halmos - Lester R. Ford Awards Merten M. Howard Eves. Publication Date:. Number of Pages:. BLL Rating:. Mathematics Before Euclid. Philosophy of Mathematics. Log in to post comments. Join us February 24th from pm ET. Read More. Give a Gift. Contact Us. Appendix 5. Appendix 6.
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Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. Eves Published Mathematics. Mathematics before Euclid. Euclid's "elements". Non-Euclidean geometry.
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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. The selection of topics conveys not only their role in this historical development of mathematics but also their value as bases for understanding the changing nature of mathematics. Among the topics covered in this wide-ranging text are: mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, the real numbers system, sets, logic and philosophy and more. The emphasis on axiomatic procedures provides important background for studying and applying more advanced topics, while the inclusion of the historical roots of both algebra and geometry provides essential information for prospective teachers of school mathematics. The readable style and sets of challenging exercises from the popular earlier editions have been continued and extended in the present edition, making this a very welcome and useful version of a classic treatment of the foundations of mathematics.
Goodreads helps you keep track of books you want to read. Want to Read saving…. Want to Read Currently Reading Read. Other editions.
The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.
Home About My account Contact Us. Howard Eves. An introduction to the foundations and fundamental concepts of mathematics by Eves, Howard W. Sep 04, foundations and fundamental concepts of mathematics dover books on mathematics Posted By Seiichi MorimuraMedia Publishing TEXT ID b Online PDF Ebook Epub Library the fundamental concepts and skills outlined in the following tables can be developed in connection with learning in all strands of the math curriculum number sense and numeration geometry and spatial "Foundations and Fundamental Concepts" is not a traditional history of mathematics, but an investigation of the philosophical context in which new developments emerged. The concept of Space 2. Publication Date:
Howard Whitley Eves 10 January , New Jersey — 6 June was an American mathematician, known for his work in geometry and the history of mathematics. Eves received his B. He then spent most of his career at the University of Maine , — In later life, he occasionally taught at University of Central Florida. Eves was a strong spokesman for the Mathematical Association of America , which he joined in , and whose Northeast Section he founded. He solved over problems proposed in various mathematical journals.
Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required. To get the free app, enter your mobile phone number. Third edition of popular undergraduate-level text offers overview of historical roots and evolution of several areas of mathematics. Topics include mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, and more. Emphasis on axiomatic procedures. Solution Suggestions for Selected Problems.
Foundations and Fundamental Concepts of Mathematics, , pages, Quadrants I and II, Howard Whitley Eves, , Mathematics, pages. http://santaclarapueblolibrary.orgpdf.
The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition. This is a specialized math history book that looks at the growth of axiomatics. It starts out even before there were axioms, with some approximate geometric formulas developed by the ancient Egyptians and Babylonians, and follows how things got gradually more formal and rigorous up through the foundational crises and the development of mathematical logic in the early twentieth century. The intended use is probably as a textbook for an elective course for upper-division undergraduate math majors, or possibly for pre-service teachers.
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