By ΠΠ΅ΡΠΌΠ°Π½ ΠΠ΅ΠΎΡΠ³ΠΈΠΉ ΠΠΈΠΊΠΎΠ»Π°Π΅Π²ΠΈΡ
ΠΠ΅ΡΠΌΠ°Π½ ΠΠ΅ΠΎΡΠ³ΠΈΠΉ ΠΠΈΠΊΠΎΠ»Π°Π΅Π²ΠΈΡ, 2025, Π‘Π΅ΡΠΈΡ Β«ΠΡΡΡΠΈΠ΅ ΡΠΎΠ²Π΅ΡΡΠΊΠΈΠ΅ ΡΡΠ΅Π±Π½ΠΈΠΊΠΈΒ»
ΠΠ½ΠΈΠ³Π° Β«ΠΡΠΈΡΠΌΡ ΡΡΡΡΠ°Β» ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»ΡΠ΅Ρ ΡΠΎΠ±ΠΎΠΉ ΠΌΠ΅ΡΠΎΠ΄ΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΠΏΠΎΡΠΎΠ±ΠΈΠ΅, ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΠΎΠ΅ ΡΠΎΠ²Π΅ΡΡΠΊΠΈΠΌ ΡΡΠ΅Π½ΡΠΌ Π. Π. ΠΠ΅ΡΠΌΠ°Π½ΠΎΠΌ, ΠΈΠ·Π²Π΅ΡΡΠ½ΡΠΌ Π°Π²ΡΠΎΡΠΎΠΌ ΡΠ±ΠΎΡΠ½ΠΈΠΊΠΎΠ² Π·Π°Π΄Π°Ρ ΠΏΠΎ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΌΡ Π°Π½Π°Π»ΠΈΠ·Ρ. ΠΠ½Π° Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½Π° Π½Π° ΡΠ°Π·Π²ΠΈΡΠΈΠ΅ Π½Π°Π²ΡΠΊΠΎΠ² ΡΡΡΠ½ΠΎΠ³ΠΎ ΠΈ ΠΏΠΈΡΡΠΌΠ΅Π½Π½ΠΎΠ³ΠΎ ΡΡΡΡΠ°, ΠΏΡΠ΅Π΄Π»Π°Π³Π°Ρ ΡΠΈΡΠ°ΡΠ΅Π»ΡΠΌ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΡΠ΅ ΠΌΠ΅ΡΠΎΠ΄Ρ Π΄Π»Ρ Π±ΡΡΡΡΠΎΠ³ΠΎ ΠΈ ΡΠΎΡΠ½ΠΎΠ³ΠΎ Π²ΡΠΏΠΎΠ»Π½Π΅Π½ΠΈΡ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ ΠΎΠΏΠ΅ΡΠ°ΡΠΈΠΉ.
Π ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΠΎΠΌ ΠΌΠΈΡΠ΅ ΡΠΌΠ΅Π½ΠΈΠ΅ Π±ΡΡΡΡΠΎ ΡΡΠΈΡΠ°ΡΡ ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ΅Π½Π½ΡΠΌ Π½Π°Π²ΡΠΊΠΎΠΌ, ΠΏΡΠΈΠΌΠ΅Π½ΠΈΠΌΡΠΌ ΠΊΠ°ΠΊ Π² ΠΏΠΎΠ²ΡΠ΅Π΄Π½Π΅Π²Π½ΠΎΠΉ ΠΆΠΈΠ·Π½ΠΈ, ΡΠ°ΠΊ ΠΈ Π² ΠΏΡΠΎΡΠ΅ΡΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠΉ Π΄Π΅ΡΡΠ΅Π»ΡΠ½ΠΎΡΡΠΈ. ΠΠ½ΠΈΠ³Π° ΠΏΡΠ΅Π΄Π»Π°Π³Π°Π΅Ρ ΡΠΈΡΡΠ΅ΠΌΠ°ΡΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Π½ΡΠΉ ΠΏΠΎΠ΄Ρ ΠΎΠ΄ ΠΊ ΠΈΠ·ΡΡΠ΅Π½ΠΈΡ ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ ΠΏΡΠΈΡΠΌΠΎΠ² ΡΡΡΡΠ°, Π½Π°ΡΠΈΠ½Π°Ρ Ρ ΠΏΡΠΎΡΡΡΡ Π°ΡΠΈΡΠΌΠ΅ΡΠΈΡΠ΅ΡΠΊΠΈΡ Π΄Π΅ΠΉΡΡΠ²ΠΈΠΉ ΠΈ Π·Π°ΠΊΠ°Π½ΡΠΈΠ²Π°Ρ Π±ΠΎΠ»Π΅Π΅ ΡΠ»ΠΎΠΆΠ½ΡΠΌΠΈ Π²ΡΡΠΈΡΠ»Π΅Π½ΠΈΡΠΌΠΈ, ΡΠ°ΠΊΠΈΠΌΠΈ ΠΊΠ°ΠΊ ΠΏΡΠΎΡΠ΅Π½ΡΠ½ΡΠ΅ Π²ΡΡΠΈΡΠ»Π΅Π½ΠΈΡ ΠΈ Π½Π°Ρ ΠΎΠΆΠ΄Π΅Π½ΠΈΠ΅ ΠΊΠΎΡΠ½Π΅ΠΉ Π΄ΡΠΎΠ±Π΅ΠΉ. ΠΡΠΎΠ±ΠΎΠ΅ Π²Π½ΠΈΠΌΠ°Π½ΠΈΠ΅ ΡΠ΄Π΅Π»ΡΠ΅ΡΡΡ ΡΠ°Π·Π²ΠΈΡΠΈΡ Π½Π°Π²ΡΠΊΠΎΠ² ΡΡΡΠ½ΠΎΠ³ΠΎ ΡΡΡΡΠ°, ΡΡΠΎ ΡΠΏΠΎΡΠΎΠ±ΡΡΠ²ΡΠ΅Ρ ΡΠ»ΡΡΡΠ΅Π½ΠΈΡ ΠΏΠ°ΠΌΡΡΠΈ ΠΈ ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΈΠΈ Π²Π½ΠΈΠΌΠ°Π½ΠΈΡ.
ΠΠΎΡΠΎΠ±ΠΈΠ΅ Π²ΠΊΠ»ΡΡΠ°Π΅Ρ Π² ΡΠ΅Π±Ρ ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΡΠΈΠΌΠ΅ΡΡ ΠΈ ΡΠΏΡΠ°ΠΆΠ½Π΅Π½ΠΈΡ, ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡΠΈΠ΅ ΡΠΈΡΠ°ΡΠ΅Π»ΡΠΌ Π·Π°ΠΊΡΠ΅ΠΏΠΈΡΡ ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΠ΅ Π·Π½Π°Π½ΠΈΡ ΠΈ ΡΠ°Π·Π²ΠΈΡΡ Π½Π°Π²ΡΠΊΠΈ Π±ΡΡΡΡΠΎΠ³ΠΎ ΡΡΡΡΠ°. ΠΠ½ΠΈΠ³Π° ΡΠ°ΠΊΠΆΠ΅ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅Ρ ΠΌΠ΅ΡΠΎΠ΄Ρ ΠΏΡΠΈΠ±Π»ΠΈΠΆΡΠ½Π½ΡΡ Π²ΡΡΠΈΡΠ»Π΅Π½ΠΈΠΉ, ΠΊΠΎΡΠΎΡΡΠ΅ ΠΏΠΎΠ»Π΅Π·Π½Ρ ΠΏΡΠΈ ΡΠ΅ΡΠ΅Π½ΠΈΠΈ Π·Π°Π΄Π°Ρ, ΡΡΠ΅Π±ΡΡΡΠΈΡ Π²ΡΡΠΎΠΊΠΎΠΉ ΡΠΎΡΠ½ΠΎΡΡΠΈ. Β«ΠΡΠΈΡΠΌΡ ΡΡΡΡΠ°Β» ΡΡΠ°Π½ΡΡ ΠΏΠΎΠ»Π΅Π·Π½ΡΠΌ ΡΠ΅ΡΡΡΡΠΎΠΌ Π΄Π»Ρ ΡΠΊΠΎΠ»ΡΠ½ΠΈΠΊΠΎΠ², ΡΡΡΠ΄Π΅Π½ΡΠΎΠ² ΠΈ Π²ΡΠ΅Ρ , ΠΊΡΠΎ ΡΡΡΠ΅ΠΌΠΈΡΡΡ ΡΠ»ΡΡΡΠΈΡΡ ΡΠ²ΠΎΠΈ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΠΏΠΎΡΠΎΠ±Π½ΠΎΡΡΠΈ ΠΈ ΡΠ°Π·Π²ΠΈΡΡ Π½Π°Π²ΡΠΊΠΈ Π±ΡΡΡΡΠΎΠ³ΠΎ ΡΡΡΡΠ°.
Berman Georgiy Nikolaevich, 2025, Best Soviet Textbooks Series
"Techniques of Calculation" is a methodical guide developed by the Soviet scientist G. N. Berman, a well-known author of problem books in mathematical analysis. It aims to develop mental and written arithmetic skills, offering readers effective methods for quickly and accurately performing mathematical operations.
In today's world, the ability to calculate quickly is a valuable skill applicable both in everyday life and in professional activities. The book offers a systematic approach to studying various calculation techniques, starting with simple arithmetic operations and ending with more complex calculations, such as percentage calculations and finding roots of fractions. Special attention is paid to the development of mental arithmetic skills, which helps to improve memory and concentration.
The manual includes practical examples and exercises that allow readers to consolidate their knowledge and develop rapid calculation skills. The book also discusses methods of approximate calculations, which are useful in solving problems requiring high accuracy. "Techniques of Calculation" will be a useful resource for schoolchildren, students, and anyone who seeks to improve their mathematical abilities and develop rapid calculation skills.