Introduction · to Mathematical Structures and · Proofs
نام عام مواد
[Book]
نام نخستين پديدآور
by Larry J. Gerstein.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
New York, NY :
نام ناشر، پخش کننده و غيره
Imprint: Springer,
تاریخ نشرو بخش و غیره
1996.
فروست
عنوان فروست
Textbooks in Mathematical Sciences,
شاپا ي ISSN فروست
1431-9381
یادداشتهای مربوط به مندرجات
متن يادداشت
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.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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.
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9781468467109
قطعه
عنوان
Springer eBooks
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Science (General).
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )