یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (pages 162-169) and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
Algebra and geometry -- The rational numbers -- Numbers in general -- Polynomials -- Fields -- Isomorphisms -- Groups -- Galois theory of unsolvability -- Galois theory of solvability.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This book is a concise, self-contained introduction to abstract algebra that stresses its unifying role in geometry and number theory. Classical results in these fields, such as the straightedge-and-compass constructions and their relation to Fermat primes, are used to motivate and illustrate algebraic techniques. Classical algebra itself is used to motivate the problem of solvability by radicals and its solution via Galois theory. This historical approach has at least two advantages: On the one hand it shows that abstract concepts have concrete roots, and on the other it demonstrates the power of new concepts to solve old problems. Algebra has a pedigree stretching back at least as far as Euclid, but today its connections with other parts of mathematics are often neglected or forgotten. By developing algebra out of classical number theory and geometry and reviving these connections, the author has made this book useful to beginners and experts alike. The lively style and clear exposition make it a pleasure to read and to learn from.
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Elements of algebra.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Algebra.
موضوع مستند نشده
Algebra
موضوع مستند نشده
Algebra.
موضوع مستند نشده
Algèbre.
موضوع مستند نشده
Geometrie
موضوع مستند نشده
Universelle Algebra
رده بندی ديویی
شماره
512/
.
02
ويراست
20
رده بندی کنگره
شماره رده
QA155
نشانه اثر
.
S75
1994
سایر رده بندی ها
شماره رده
MAT
110f
شماره رده
SK
200
کد سيستم
stub
کد سيستم
rvk
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )