عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781468467086
(Number (ISBN
9781468467109
NATIONAL BIBLIOGRAPHY NUMBER
Number
b403686
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Introduction · to Mathematical Structures and · Proofs
General Material Designation
[Book]
First Statement of Responsibility
by Larry J. Gerstein.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1996.
SERIES
Series Title
Textbooks in Mathematical Sciences,
ISSN of Series
1431-9381
CONTENTS NOTE
Text of Note
1 Logic -- 2 Sets -- 3 Functions -- 4 Finite and Infinite Sets -- 5 Permutations and Combinations -- 6 Number Theory -- Hints and Partial Solutions to Selected Odd-Numbered Exercises.
0
SUMMARY OR ABSTRACT
Text of Note
This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. Without such a "bridge" course, most upper division instructors feel the need to start their courses with the rudiments of logic, set theory, equivalence relations, and other basic mathematical raw materials before getting on with the subject at hand. Students who are new to higher mathematics are often startled to discover that mathematics is a subject of ideas, and not just formulaic rituals, and that they are now expected to understand and create mathematical proofs. Mastery of an assortment of technical tricks may have carried the students through calculus, but it is no longer a guarantee of academic success. Students need experience in working with abstract ideas at a nontrivial level if they are to achieve the sophisticated blend of knowledge, disci pline, and creativity that we call "mathematical maturity. " I don't believe that "theorem-proving" can be taught any more than "question-answering" can be taught. Nevertheless, I have found that it is possible to guide stu dents gently into the process of mathematical proof in such a way that they become comfortable with the experience and begin asking them selves questions that will lead them in the right direction.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781468467109
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Science (General).
PERSONAL NAME - PRIMARY RESPONSIBILITY
Gerstein, Larry J.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307154600.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
