By Π’ΡΡΡΠΈΠ½ ΠΠΎΡΠΈΡ ΠΠΈΠΊΡΠΎΡΠΎΠ²ΠΈΡ
Π’ΡΡΡΠΈΠ½ ΠΠΎΡΠΈΡ ΠΠΈΠΊΡΠΎΡΠΎΠ²ΠΈΡ, 2024, ΡΠ΅ΡΠΈΡ Β«ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ° Ρ ΠΠΎΡΠΈΡΠΎΠΌ Π’ΡΡΡΠΈΠ½ΡΠΌΒ»
ΠΡΠ° ΠΊΠ½ΠΈΠ³Π° β ΡΠ³Π»ΡΠ±Π»Π΅Π½Π½ΠΎΠ΅ Π²Π²Π΅Π΄Π΅Π½ΠΈΠ΅ Π² ΡΠ΅ΠΎΡΠΈΡ ΡΠΈΡΠ΅Π» ΠΎΡ ΠΈΠ·Π²Π΅ΡΡΠ½ΠΎΠ³ΠΎ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ° ΠΈ ΠΏΠ΅Π΄Π°Π³ΠΎΠ³Π° ΠΠΎΡΠΈΡΠ° Π’ΡΡΡΠΈΠ½Π°. ΠΠ²ΡΠΎΡ, ΠΈΠΌΠ΅ΡΡΠΈΠΉ ΠΌΠ½ΠΎΠ³ΠΎΠ»Π΅ΡΠ½ΠΈΠΉ ΠΎΠΏΡΡ ΠΏΡΠ΅ΠΏΠΎΠ΄Π°Π²Π°Π½ΠΈΡ ΠΈ Π²Π΅Π΄Π΅Π½ΠΈΡ ΠΏΠΎΠΏΡΠ»ΡΡΠ½ΠΎΠ³ΠΎ YouTube-ΠΊΠ°Π½Π°Π»Π°, ΠΏΡΠ΅Π΄Π»Π°Π³Π°Π΅Ρ ΡΠΈΡΠ°ΡΠ΅Π»ΡΠΌ ΠΎΡΠ²ΠΎΠΈΡΡ ΡΡΠ½Π΄Π°ΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΠ΅ ΠΊΠΎΠ½ΡΠ΅ΠΏΡΠΈΠΈ ΡΠ΅ΠΎΡΠΈΠΈ ΡΠΈΡΠ΅Π», Π½Π°ΡΠΈΠ½Π°Ρ Ρ ΡΠ°ΠΌΡΡ ΠΎΡΠ½ΠΎΠ² ΠΈ Π·Π°ΠΊΠ°Π½ΡΠΈΠ²Π°Ρ ΡΠ΅ΠΎΡΠ΅ΠΌΠΎΠΉ ΠΠΉΠ»Π΅ΡΠ°. ΠΠ½ΠΈΠ³Π° ΠΎΡ Π²Π°ΡΡΠ²Π°Π΅Ρ ΡΠΈΡΠΎΠΊΠΈΠΉ ΡΠΏΠ΅ΠΊΡΡ ΡΠ΅ΠΌ, Π²ΠΊΠ»ΡΡΠ°Ρ ΡΠ²ΠΎΠΉΡΡΠ²Π° ΡΠΌΠ½ΠΎΠΆΠ΅Π½ΠΈΡ, Π°Π»Π³ΠΎΡΠΈΡΠΌΡ Π΄Π΅Π»Π΅Π½ΠΈΡ ΠΈ ΠΈΡ ΠΎΠ±ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΠ΅, Π° ΡΠ°ΠΊΠΆΠ΅ Π±ΠΎΠ»Π΅Π΅ ΠΏΡΠΎΠ΄Π²ΠΈΠ½ΡΡΡΠ΅ ΠΏΠΎΠ½ΡΡΠΈΡ, Π½Π΅ΠΎΠ±Ρ ΠΎΠ΄ΠΈΠΌΡΠ΅ Π΄Π»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΠΎΠ»ΠΈΠΌΠΏΠΈΠ°Π΄Π½ΡΡ Π·Π°Π΄Π°Ρ ΠΈ Π·Π°Π΄Π°Ρ ΠΠΠ.
ΠΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΡΡ ΠΏΠΎΠ΄Ρ ΠΎΠ΄Π° ΠΠΎΡΠΈΡΠ° Π’ΡΡΡΠΈΠ½Π° ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΏΠΎΡΡΠ΅ΠΏΠ΅Π½Π½ΠΎΠ΅ ΠΈ ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΠ΅ ΠΈΠ·Π»ΠΎΠΆΠ΅Π½ΠΈΠ΅ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»Π°, ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡΠ΅Π΅ ΡΠΈΡΠ°ΡΠ΅Π»ΡΠΌ Π±Π΅Π· ΠΏΡΠ΅Π΄Π²Π°ΡΠΈΡΠ΅Π»ΡΠ½ΠΎΠΉ ΠΏΠΎΠ΄Π³ΠΎΡΠΎΠ²ΠΊΠΈ ΡΠ²Π΅ΡΠ΅Π½Π½ΠΎ ΠΏΡΠΎΠ΄Π²ΠΈΠ³Π°ΡΡΡΡ Π²ΠΏΠ΅ΡΠ΅Π΄. Π’Π΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ Π·Π½Π°Π½ΠΈΡ ΠΏΠΎΠ΄ΠΊΡΠ΅ΠΏΠ»ΡΡΡΡΡ ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΈΠΌΠΈ ΠΏΡΠΈΠΌΠ΅ΡΠ°ΠΌΠΈ ΠΈ Π·Π°Π΄Π°ΡΠ°ΠΌΠΈ, ΡΠΏΠΎΡΠΎΠ±ΡΡΠ²ΡΡΡΠΈΠΌΠΈ Π³Π»ΡΠ±ΠΎΠΊΠΎΠΌΡ ΠΏΠΎΠ½ΠΈΠΌΠ°Π½ΠΈΡ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»Π°. ΠΠ½ΠΈΠ³Π° ΡΡΠ°Π½Π΅Ρ Π½Π°Π΄Π΅ΠΆΠ½ΡΠΌ ΠΏΠΎΠΌΠΎΡΠ½ΠΈΠΊΠΎΠΌ Π΄Π»Ρ ΡΠΊΠΎΠ»ΡΠ½ΠΈΠΊΠΎΠ², ΡΡΡΠ΄Π΅Π½ΡΠΎΠ² ΠΈ Π²ΡΠ΅Ρ , ΠΊΡΠΎ ΠΈΠ½ΡΠ΅ΡΠ΅ΡΡΠ΅ΡΡΡ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΎΠΉ ΠΈ Ρ ΠΎΡΠ΅Ρ ΡΠ°ΡΡΠΈΡΠΈΡΡ ΡΠ²ΠΎΠΈ Π·Π½Π°Π½ΠΈΡ Π² ΠΎΠ±Π»Π°ΡΡΠΈ ΡΠ΅ΠΎΡΠΈΠΈ ΡΠΈΡΠ΅Π».
Boris Trushin, 2024, Mathematics with Boris Trushin series
This book offers an in-depth introduction to number theory from Boris Trushin, a renowned mathematician and educator. With years of teaching experience and a popular YouTube channel, the author guides readers through the fundamental concepts of number theory, starting from the basics and culminating in Euler's theorem. The book covers a wide range of topics, including the properties of multiplication, division algorithms and their justification, and more advanced concepts necessary for solving olympiad problems and standardized exam questions.
Boris Trushin's approach is characterized by a gradual and consistent presentation of the material, allowing readers without prior preparation to confidently progress. Theoretical knowledge is reinforced with practical examples and problems that promote a deep understanding of the subject. This book will be a reliable resource for students, teachers, and anyone interested in mathematics who wants to expand their knowledge in the field of number theory.