A Modification Of Peanos Postulates For Positive Integers
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The Real Numbers and Real Analysis
Author | : Ethan D. Bloch |
Publisher | : Springer Science & Business Media |
Total Pages | : 577 |
Release | : 2011-05-27 |
Genre | : Mathematics |
ISBN | : 0387721762 |
This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs. It is organized in a distinctive, flexible way that would make it equally appropriate to undergraduate mathematics majors who want to continue in mathematics, and to future mathematics teachers who want to understand the theory behind calculus. The Real Numbers and Real Analysis will serve as an excellent one-semester text for undergraduates majoring in mathematics, and for students in mathematics education who want a thorough understanding of the theory behind the real number system and calculus.
Bulletin of the American Mathematical Society
Author | : American Mathematical Society |
Publisher | : |
Total Pages | : 1032 |
Release | : 1905 |
Genre | : Mathematics |
ISBN | : |
Preliminary Announcements and Daily Program of the Association
Author | : American Association for the Advancement of Science |
Publisher | : |
Total Pages | : 102 |
Release | : 1921 |
Genre | : |
ISBN | : |
Transactions of the American Mathematical Society
Author | : American Mathematical Society |
Publisher | : |
Total Pages | : 524 |
Release | : 1903 |
Genre | : Electronic journals |
ISBN | : |
Monthly journal devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American Mathematical Society.
Modern Algebra
Author | : Seth Warner |
Publisher | : Courier Corporation |
Total Pages | : 852 |
Release | : 2012-08-29 |
Genre | : Mathematics |
ISBN | : 0486137090 |
Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.
Peano
Author | : H. Kennedy |
Publisher | : Springer Science & Business Media |
Total Pages | : 238 |
Release | : 2012-12-06 |
Genre | : History |
ISBN | : 9400989849 |
All students of mathematics know of Peano's postulates for the natural numbers and his famous space-filling curve, yet their knowledge often stops there. Part of the reason is that there has not until now been a full-scale study of his life and works. This must surely be surprising, when one realizes the length of his academic career (over 50 years) and the extent of his publica tions (over 200) in a wide variety of fields, many of which had immediate and long-term effects on the development of modern mathematics. A study of his life seems long overdue. It appeared to me that the most likely person to write a biography of Peano would be his devoted disciple Ugo Cassina, with whom I studied at the University of Milan in 1957-58. I wrote to Professor Cassina on 29 October, 1963, inquiring if he planned to write the biography, and I offered him my assistance, since I hoped to return to Italy for a year. He replied on 28 November, 1963, suggesting that we collaborate, meaning by this that I would write the biography, in English, using his material and advice. I gladly agreed to this suggestion, but work on the project had hardly begun when Professor Cassina died unexpectedly on 5 October, 1964. I then decided to continue the project on my own. I spent the academic year 1966-67 in Turin; completion of the book took ten years.
Principia Mathematica
Author | : Alfred North Whitehead |
Publisher | : |
Total Pages | : 688 |
Release | : 1910 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |
A Gateway to Higher Mathematics
Author | : Jason H. Goodfriend |
Publisher | : Jones & Bartlett Learning |
Total Pages | : 346 |
Release | : 2005 |
Genre | : Computers |
ISBN | : 9780763727338 |
A Gateway to Higher Mathematics integrates the process of teaching students how to do proofs into the framework of displaying the development of the real number system. The text eases the students into learning how to construct proofs, while preparing students how to cope with the type of proofs encountered in the higher-level courses of abstract algebra, analysis, and number theory. After using this text, the students will not only know how to read and construct proofs, they will understand much about the basic building blocks of mathematics. The text is designed so that the professor can choose the topics to be emphasized, while leaving the remainder as a reference for the students.