By ΠΠΎΡΡΡΡΠΊ Π.Π. , β¦
ΠΠΎΡΡΡΡΠΊ Π.Π., ΠΠ°ΠΉ Π―.Π., ΠΠΎΠ»ΠΎΠ²Π°Ρ Π.Π., ΠΡΡΠΊΠΎ Π.Π., 2025, Π‘Π΅ΡΠΈΡ Β«ΠΠ½ΡΠΈΠΠ΅ΠΌΠΈΠ΄ΠΎΠ²ΠΈΡΒ»
ΠΡΠ΅Π΄Π»Π°Π³Π°Π΅ΠΌΠΎΠ΅ ΠΏΠΎΡΠΎΠ±ΠΈΠ΅ ΠΎΡ Π²Π°ΡΡΠ²Π°Π΅Ρ ΡΠ°Π·Π΄Π΅Π»Ρ Π²ΡΡΡΠ΅ΠΉ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΈ, ΡΠ΄Π΅Π»ΡΡ ΠΎΡΠΎΠ±ΠΎΠ΅ Π²Π½ΠΈΠΌΠ°Π½ΠΈΠ΅ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΌΡ Π°Π½Π°Π»ΠΈΠ·Ρ. ΠΠ΅ΡΠ²ΡΠΉ ΡΠΎΠΌ ΠΏΠΎΡΠ²ΡΡΠ΅Π½ Π²Π²Π΅Π΄Π΅Π½ΠΈΡ Π² Π°Π½Π°Π»ΠΈΠ·, ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄Π½ΡΠΌ ΠΈ ΠΈΠ½ΡΠ΅Π³ΡΠ°Π»Π°ΠΌ. Π ΠΏΠ΅ΡΠ²ΠΎΠΉ ΡΠ°ΡΡΠΈ ΡΠΎΠΌΠ° ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°ΡΡΡΡ ΠΎΡΠ½ΠΎΠ²Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π°, Π²ΠΊΠ»ΡΡΠ°Ρ ΡΠ΅ΠΎΡΠΈΡ ΠΌΠ½ΠΎΠΆΠ΅ΡΡΠ², Π΄Π΅ΠΉΡΡΠ²ΠΈΡΠ΅Π»ΡΠ½ΡΠ΅ ΠΈ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ½ΡΠ΅ ΡΠΈΡΠ»Π°, Π²Π΅ΠΊΡΠΎΡΠ½ΡΠ΅ ΠΈ ΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²Π°, Π° ΡΠ°ΠΊΠΆΠ΅ ΡΠ΅ΠΎΡΠΈΡ ΠΏΡΠ΅Π΄Π΅Π»ΠΎΠ². ΠΠ½ΠΈΠ³Π° ΡΠΎΠ΄Π΅ΡΠΆΠΈΡ Π±ΠΎΠ»Π΅Π΅ 280 Π·Π°Π΄Π°Ρ Ρ ΠΏΠΎΠ΄ΡΠΎΠ±Π½ΡΠΌΠΈ ΡΠ΅ΡΠ΅Π½ΠΈΡΠΌΠΈ, ΡΡΠΎ Π΄Π΅Π»Π°Π΅Ρ Π΅Ρ ΡΠ΅Π½Π½ΡΠΌ ΠΈΠ½ΡΡΡΡΠΌΠ΅Π½ΡΠΎΠΌ Π΄Π»Ρ ΡΠ°ΠΌΠΎΡΡΠΎΡΡΠ΅Π»ΡΠ½ΠΎΠ³ΠΎ ΠΈΠ·ΡΡΠ΅Π½ΠΈΡ ΠΈ ΡΠ³Π»ΡΠ±Π»Π΅Π½Π½ΠΎΠ³ΠΎ ΠΏΠΎΠ½ΠΈΠΌΠ°Π½ΠΈΡ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»Π°.
ΠΠΎΡΠΎΠ±ΠΈΠ΅ ΠΏΡΠ΅Π΄Π½Π°Π·Π½Π°ΡΠ΅Π½ΠΎ Π΄Π»Ρ ΡΡΡΠ΄Π΅Π½ΡΠΎΠ², ΠΈΠ·ΡΡΠ°ΡΡΠΈΡ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠΉ Π°Π½Π°Π»ΠΈΠ·, ΠΏΡΠ΅ΠΏΠΎΠ΄Π°Π²Π°ΡΠ΅Π»Π΅ΠΉ, ΡΡΡΠ΅ΠΌΡΡΠΈΡ ΡΡ ΠΏΡΠ΅Π΄ΠΎΡΡΠ°Π²ΠΈΡΡ ΡΡΡΠ΄Π΅Π½ΡΠ°ΠΌ Π΄ΠΎΠΏΠΎΠ»Π½ΠΈΡΠ΅Π»ΡΠ½ΡΠ΅ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»Ρ, ΠΈ ΡΠΏΠ΅ΡΠΈΠ°Π»ΠΈΡΡΠΎΠ², ΠΏΡΠΈΠΌΠ΅Π½ΡΡΡΠΈΡ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΌΠ΅ΡΠΎΠ΄Ρ Π² ΡΠ²ΠΎΠ΅ΠΉ ΡΠ°Π±ΠΎΡΠ΅. ΠΠ½ΠΈΠ³Π° ΡΠ°ΠΊΠΆΠ΅ Π±ΡΠ΄Π΅Ρ ΠΏΠΎΠ»Π΅Π·Π½Π° Π΄Π»Ρ ΡΠ΅Ρ , ΠΊΡΠΎ ΡΠ°ΠΌΠΎΡΡΠΎΡΡΠ΅Π»ΡΠ½ΠΎ ΠΈΠ·ΡΡΠ°Π΅Ρ Π²ΡΡΡΡΡ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΡ ΠΈ ΡΡΡΠ΅ΠΌΠΈΡΡΡ ΠΊ Π³Π»ΡΠ±ΠΎΠΊΠΎΠΌΡ ΠΏΠΎΠ½ΠΈΠΌΠ°Π½ΠΈΡ Π΅Ρ ΠΎΡΠ½ΠΎΠ².
Boyarchuk A.K., Gay Ya.G., Golovach G.P., Lyashko I.I., 2025, AntiDemidovich Series
This handbook covers key areas of higher mathematics, with a focus on mathematical analysis. Volume 1 introduces analysis, derivatives, and integrals. Part 1 explores the foundations of mathematical analysis, including set theory, real and complex numbers, vector and metric spaces, and limit theory. With over 280 problems and detailed solutions, this book is a valuable resource for self-study and in-depth understanding.
This guide is designed for students studying mathematical analysis, instructors seeking supplementary materials, and professionals applying mathematical methods in their work. It is also beneficial for individuals independently studying higher mathematics and aiming for a deep understanding of its fundamentals. The detailed solutions provide step-by-step guidance, making complex concepts accessible.