KLASSIK GEOMETRIK YASASH MASALALARINING ALGEBRAIK YECHILMASLIGI VA ZAMONAVIY METODOLOGIK TALQINI
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Аннотация:
Mazkur tadqiqotda antik geometriyaning uchta fundamental muammosi, ya’ni kubni ikkilantirish, burchak trisektsiyasi va doira kvadraturasi masalalarining sirkul va chizg‘ich yordamida yechilmasligi chuqur matematik asosda tahlil qilinadi, ushbu masalalar algebraik ifodaga keltirilib, maydonlar kengaytmasi nazariyasi, minimal ko‘phadlar va Galois nazariyasi yordamida o‘rganiladi, yasash mumkin bo‘lgan sonlar tushunchasi quyidagi algebraik shart bilan ifodalanadi: ya’ni konstruktiv sonlar faqat darajasi 2 ning darajasi bo‘lgan kengaytmalarda yotadi, ushbu nazariya asosida klassik masalalarning imkonsizligi qat’iy isbotlanadi.
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