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Похідна та інтеграл у нерівностях, рівняннях, тотожностях
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Електронної книги немає
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Доставка
Нова пошта — 60 грн
Укрпошта — від 20 грн
Оплата
При отриманні
Visa, MasterCard
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У книзі систематизовані методи розв’язання елементарних задач за допомогою математичного аналізу. Розглянуто низку нових задач, які розв’язуються шляхом застосування понять границі, похідної, інтеграла. Значну частину матеріалу викладено за допомогою розв’язання конкретних прикладів. Книга містить вправи для самостійної роботи. Для вчителів та учнів загальноосвітніх шкіл та профільних класів природничого та фізико-математичного спрямування.
Зміст
| Передмова
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| Розділ 1. Деякі застосування похідної
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| §1. Нерівності
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| §2. Рівняння
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| §3. Тотожності
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| §4. Похідна і періодичність функцій
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| Розділ 2. Первісна та інтеграл у задачах елементарної математики
|
| §5. Застосування інтеграла від монотонних функцій до доведення нерівностей
|
| §6. Інтеграли від опуклих функцій
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| §7. Обчислення границь
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| §8. Ще раз про границі
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| §9. Натуральний логарифм як інтеграл
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| §10. Оцінки для границь
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| §11. Монотонність інтеграла
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| §12. Тотожні перетворення
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| §13. Формула Ньютона і комбінаторні тотожності
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| §14. Деякі класичні нерівності та їхні застосування
|
| Розділ 3. Граничний перехід
|
| §15. Задачі з нескінченною кількістю операцій
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| §16. Нескінченні процедури в геометричних задачах
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| §17. Границі в геометрії
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| §18. Функціональні співвідношення і границі
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| §19. Функціональні рівняння та границі і похідна
|
| Відповіді, вказівки, розв’язання
|
| Перелік використаних джерел |
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[0] => Передмова
[1] => Розділ 1. Деякі застосування похідної
[2] => §1. Нерівності
[3] => §2. Рівняння
[4] => §3. Тотожності
[5] => §4. Похідна і періодичність функцій
[6] => Розділ 2. Первісна та інтеграл у задачах елементарної математики
[7] => §5. Застосування інтеграла від монотонних функцій до доведення нерівностей
[8] => §6. Інтеграли від опуклих функцій
[9] => §7. Обчислення границь
[10] => §8. Ще раз про границі
[11] => §9. Натуральний логарифм як інтеграл
[12] => §10. Оцінки для границь
[13] => §11. Монотонність інтеграла
[14] => §12. Тотожні перетворення
[15] => §13. Формула Ньютона і комбінаторні тотожності
[16] => §14. Деякі класичні нерівності та їхні застосування
[17] => Розділ 3. Граничний перехід
[18] => §15. Задачі з нескінченною кількістю операцій
[19] => §16. Нескінченні процедури в геометричних задачах
[20] => §17. Границі в геометрії
[21] => §18. Функціональні співвідношення і границі
[22] => §19. Функціональні рівняння та границі і похідна
[23] => Відповіді, вказівки, розв’язання
[24] => Перелік використаних джерел
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Розділ 1. Деякі застосування похідної
§1. Нерівності
§2. Рівняння
§3. Тотожності
§4. Похідна і періодичність функцій
Розділ 2. Первісна та інтеграл у задачах елементарної математики
§5. Застосування інтеграла від монотонних функцій до доведення нерівностей
§6. Інтеграли від опуклих функцій
§7. Обчислення границь
§8. Ще раз про границі
§9. Натуральний логарифм як інтеграл
§10. Оцінки для границь
§11. Монотонність інтеграла
§12. Тотожні перетворення
§13. Формула Ньютона і комбінаторні тотожності
§14. Деякі класичні нерівності та їхні застосування
Розділ 3. Граничний перехід
§15. Задачі з нескінченною кількістю операцій
§16. Нескінченні процедури в геометричних задачах
§17. Границі в геометрії
§18. Функціональні співвідношення і границі
§19. Функціональні рівняння та границі і похідна
Відповіді, вказівки, розв’язання
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[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Характеристики
[~DEFAULT_VALUE] =>
)
[CML2_TRAITS] => Array
(
[ID] => 367
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Реквизиты
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_TRAITS
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_TRAITS
[FILE_TYPE] =>
[MULTIPLE_CNT] => 1
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => Y
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 116997435
[1] => 116997436
[2] => 116997437
)
[VALUE] => Array
(
[0] => Книжки
[1] => Товар
[2] => 0.105
)
[DESCRIPTION] => Array
(
[0] => ВидНоменклатуры
[1] => ТипНоменклатуры
[2] => Вес
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => Книжки
[1] => Товар
[2] => 0.105
)
[~DESCRIPTION] => Array
(
[0] => ВидНоменклатуры
[1] => ТипНоменклатуры
[2] => Вес
)
[~NAME] => Реквизиты
[~DEFAULT_VALUE] =>
)
[CML2_BASE_UNIT] => Array
(
[ID] => 368
[TIMESTAMP_X] => 2018-04-16 13:50:40
[IBLOCK_ID] => 73
[NAME] => Базовая единица
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_BASE_UNIT
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => CML2_BASE_UNIT
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => Y
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116997438
[VALUE] => шт
[DESCRIPTION] => 6
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => шт
[~DESCRIPTION] => 6
[~NAME] => Базовая единица
[~DEFAULT_VALUE] =>
)
[CML2_TAXES] => Array
(
[ID] => 369
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Ставки налогов
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_TAXES
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_TAXES
[FILE_TYPE] =>
[MULTIPLE_CNT] => 1
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => Y
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 116997439
)
[VALUE] => Array
(
[0] => Без налога
)
[DESCRIPTION] => Array
(
[0] => НДС
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => Без налога
)
[~DESCRIPTION] => Array
(
[0] => НДС
)
[~NAME] => Ставки налогов
[~DEFAULT_VALUE] =>
)
[MORE_PHOTO] => Array
(
[ID] => 370
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Картинки
[ACTIVE] => Y
[SORT] => 500
[CODE] => MORE_PHOTO
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => F
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_PICTURES
[FILE_TYPE] =>
[MULTIPLE_CNT] => 1
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => Y
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Картинки
[~DEFAULT_VALUE] =>
)
[FILES] => Array
(
[ID] => 371
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Файлы
[ACTIVE] => Y
[SORT] => 500
[CODE] => FILES
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => F
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_FILES
[FILE_TYPE] =>
[MULTIPLE_CNT] => 1
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => Y
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Файлы
[~DEFAULT_VALUE] =>
)
[AUTHOR] => Array
(
[ID] => 372
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Автор
[ACTIVE] => Y
[SORT] => 500
[CODE] => AUTHOR
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => AUTHOR_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] => ElementXmlID
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 116997440
[1] => 116997441
)
[VALUE] => Array
(
[0] => 70c14168-466b-11df-9b46-0012f0c1528a
[1] => 70c1416a-466b-11df-9b46-0012f0c1528a
)
[DESCRIPTION] => Array
(
[0] =>
[1] =>
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => 70c14168-466b-11df-9b46-0012f0c1528a
[1] => 70c1416a-466b-11df-9b46-0012f0c1528a
)
[~DESCRIPTION] => Array
(
[0] =>
[1] =>
)
[~NAME] => Автор
[~DEFAULT_VALUE] =>
)
[CML2_KTK_UNI] => Array
(
[ID] => 373
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Класифікатор (КТК-Універсальний розділ)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_KTK_UNI
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_KTK_UNI_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 72
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Класифікатор (КТК-Універсальний розділ)
[~DEFAULT_VALUE] =>
)
[CML2_KTK_GIFT] => Array
(
[ID] => 374
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Класифікатор (КТК-подарункові)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_KTK_GIFT
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_KTK_GIFT_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Класифікатор (КТК-подарункові)
[~DEFAULT_VALUE] =>
)
[CML2_KTK_EDUC] => Array
(
[ID] => 375
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Класифікатор (КТК-Навчальна література)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_KTK_EDUC
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_KTK_EDUC_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 69
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Класифікатор (КТК-Навчальна література)
[~DEFAULT_VALUE] =>
)
[CML2_KTK] => Array
(
[ID] => 376
[TIMESTAMP_X] => 2014-03-31 15:17:52
[IBLOCK_ID] => 73
[NAME] => Класифікатор (КТК)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_KTK
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_KTK_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 70
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Класифікатор (КТК)
[~DEFAULT_VALUE] =>
)
[VUD_ADD] => Array
(
[ID] => 377
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Видавництво
[ACTIVE] => Y
[SORT] => 500
[CODE] => VUD_ADD
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => VUD_ADD_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] => ElementXmlID
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116997442
[VALUE] => 28453d8b-d07d-11df-92a8-001517c70544
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 28453d8b-d07d-11df-92a8-001517c70544
[~DESCRIPTION] =>
[~NAME] => Видавництво
[~DEFAULT_VALUE] =>
)
[VUD_XML] => Array
(
[ID] => 378
[TIMESTAMP_X] => 2013-10-09 11:39:16
[IBLOCK_ID] => 73
[NAME] => Видавництво назва
[ACTIVE] => Y
[SORT] => 500
[CODE] => VUD_XML
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => VUD_N_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 82
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116997443
[VALUE] => 3062
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 3062
[~DESCRIPTION] =>
[~NAME] => Видавництво назва
[~DEFAULT_VALUE] =>
)
[PageAm] => Array
(
[ID] => 379
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Кількість сторінок
[ACTIVE] => Y
[SORT] => 500
[CODE] => PageAm
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => PageAm
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116997444
[VALUE] => 120
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 120
[~DESCRIPTION] =>
[~NAME] => Кількість сторінок
[~DEFAULT_VALUE] =>
)
[CoverType] => Array
(
[ID] => 380
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Обкладинка
[ACTIVE] => Y
[SORT] => 500
[CODE] => CoverType
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => CoverType
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116997445
[VALUE] => М'яка
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => М'яка
[~DESCRIPTION] =>
[~NAME] => Обкладинка
[~DEFAULT_VALUE] =>
)
[Format] => Array
(
[ID] => 381
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Формат
[ACTIVE] => Y
[SORT] => 500
[CODE] => Format
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => Format
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116997446
[VALUE] => 60х84/ 16 (145х200)
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 60х84/ 16 (145х200)
[~DESCRIPTION] =>
[~NAME] => Формат
[~DEFAULT_VALUE] =>
)
[Year] => Array
(
[ID] => 382
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Рік видання
[ACTIVE] => Y
[SORT] => 500
[CODE] => Year
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => Year
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116997447
[VALUE] => -
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => -
[~DESCRIPTION] =>
[~NAME] => Рік видання
[~DEFAULT_VALUE] =>
)
[NEW] => Array
(
[ID] => 383
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Новинка
[ACTIVE] => Y
[SORT] => 500
[CODE] => NEW
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] => NewIth
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Новинка
[~DEFAULT_VALUE] =>
)
[SAMPLE_PDF] => Array
(
[ID] => 386
[TIMESTAMP_X] => 2013-09-27 15:25:45
[IBLOCK_ID] => 73
[NAME] => PDF зразок книги
[ACTIVE] => Y
[SORT] => 500
[CODE] => SAMPLE_PDF
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => F
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] =>
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 3195188
[VALUE] => 752757
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 752757
[~DESCRIPTION] =>
[~NAME] => PDF зразок книги
[~DEFAULT_VALUE] =>
)
[RECOMENDED] => Array
(
[ID] => 388
[TIMESTAMP_X] => 2013-09-25 14:22:27
[IBLOCK_ID] => 73
[NAME] => Рекомендуємо
[ACTIVE] => Y
[SORT] => 500
[CODE] => RECOMENDED
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] =>
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Рекомендуємо
[~DEFAULT_VALUE] =>
)
[ANNOTACIA] => Array
(
[ID] => 389
[TIMESTAMP_X] => 2018-09-12 22:50:48
[IBLOCK_ID] => 73
[NAME] => Аннотація
[ACTIVE] => Y
[SORT] => 500
[CODE] => ANNOTACIA
[DEFAULT_VALUE] => Array
(
[TEXT] =>
[TYPE] => HTML
)
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => ANNOTACIA
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] => HTML
[USER_TYPE_SETTINGS] => Array
(
[height] => 200
)
[HINT] =>
[PROPERTY_VALUE_ID] => 3195137
[VALUE] => Array
(
[TEXT] => У книзі систематизовані методи розв’язання елементарних задач за допомогою математичного аналізу. Розглянуто низку нових задач, які розв’язуються шляхом застосування понять границі, похідної, інтеграла. Значну частину матеріалу викладено за допомогою розв’язання конкретних прикладів. Книга містить вправи для самостійної роботи. Для вчителів та учнів загальноосвітніх шкіл та профільних класів природничого та фізико-математичного спрямування.
[TYPE] => HTML
)
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[TEXT] => У книзі систематизовані методи розв’язання елементарних задач за допомогою математичного аналізу. Розглянуто низку нових задач, які розв’язуються шляхом застосування понять границі, похідної, інтеграла. Значну частину матеріалу викладено за допомогою розв’язання конкретних прикладів. Книга містить вправи для самостійної роботи. Для вчителів та учнів загальноосвітніх шкіл та профільних класів природничого та фізико-математичного спрямування.
[TYPE] => HTML
)
[~DESCRIPTION] =>
[~NAME] => Аннотація
[~DEFAULT_VALUE] => Array
(
[TEXT] =>
[TYPE] => HTML
)
)
[SALE] => Array
(
[ID] => 399
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Розпродаж
[ACTIVE] => Y
[SORT] => 500
[CODE] => SALE
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] => SALE
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Розпродаж
[~DEFAULT_VALUE] =>
)
[BOOKS_IN_PRINT] => Array
(
[ID] => 400
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Готується до друку
[ACTIVE] => Y
[SORT] => 500
[CODE] => BOOKS_IN_PRINT
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] => BOOKS_IN_PRINT
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Готується до друку
[~DEFAULT_VALUE] =>
)
[TOP20] => Array
(
[ID] => 401
[TIMESTAMP_X] => 2014-04-02 15:45:22
[IBLOCK_ID] => 73
[NAME] => Топ 20
[ACTIVE] => Y
[SORT] => 500
[CODE] => TOP20
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] =>
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Топ 20
[~DEFAULT_VALUE] =>
)
[CML2_ROZDIL] => Array
(
[ID] => 433
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Класифікатор (Розділ)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_ROZDIL
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_ROZDIL_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 84
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 116997448
)
[VALUE] => Array
(
[0] => 3414
)
[DESCRIPTION] => Array
(
[0] =>
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => 3414
)
[~DESCRIPTION] => Array
(
[0] =>
)
[~NAME] => Класифікатор (Розділ)
[~DEFAULT_VALUE] =>
)
[NEW_SORT] => Array
(
[ID] => 443
[TIMESTAMP_X] => 2014-06-24 10:47:57
[IBLOCK_ID] => 73
[NAME] => Сортування (змінюється автоматично)
[ACTIVE] => Y
[SORT] => 500
[CODE] => NEW_SORT
[DEFAULT_VALUE] => 1000
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] =>
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 3629051
[VALUE] => 1000
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 1000
[~DESCRIPTION] =>
[~NAME] => Сортування (змінюється автоматично)
[~DEFAULT_VALUE] => 1000
)
[GRYPH_MON] => Array
(
[ID] => 444
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Гриф МОН
[ACTIVE] => Y
[SORT] => 500
[CODE] => GRYPH_MON
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => GRYPH_MON
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Гриф МОН
[~DEFAULT_VALUE] =>
)
[SHOW_FROM_ORDER_FORM] => Array
(
[ID] => 445
[TIMESTAMP_X] => 2014-08-12 12:11:25
[IBLOCK_ID] => 73
[NAME] => Показувати на сторінці оформлення замовлення
[ACTIVE] => Y
[SORT] => 500
[CODE] => SHOW_FROM_ORDER_FORM
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] =>
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Показувати на сторінці оформлення замовлення
[~DEFAULT_VALUE] =>
)
[EBOOK_LINK] => Array
(
[ID] => 446
[TIMESTAMP_X] => 2014-08-13 14:14:12
[IBLOCK_ID] => 73
[NAME] => Кнопка ebook
[ACTIVE] => Y
[SORT] => 500
[CODE] => EBOOK_LINK
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] =>
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Кнопка ebook
[~DEFAULT_VALUE] =>
)
[MASTERTOOL_LINK] => Array
(
[ID] => 447
[TIMESTAMP_X] => 2014-08-13 14:14:12
[IBLOCK_ID] => 73
[NAME] => Кнопка MasterTool
[ACTIVE] => Y
[SORT] => 500
[CODE] => MASTERTOOL_LINK
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] =>
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Кнопка MasterTool
[~DEFAULT_VALUE] =>
)
[MORE_BOOK] => Array
(
[ID] => 448
[TIMESTAMP_X] => 2014-08-14 10:21:27
[IBLOCK_ID] => 73
[NAME] => З цією книгою купують
[ACTIVE] => Y
[SORT] => 500
[CODE] => MORE_BOOK
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => E
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] =>
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 73
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => З цією книгою купують
[~DEFAULT_VALUE] =>
)
[SPEC_PROP] => Array
(
[ID] => 449
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Спец. пропозиція для членів клубу
[ACTIVE] => Y
[SORT] => 500
[CODE] => SPEC_PROP
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] => SPEC_PROP
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Спец. пропозиція для членів клубу
[~DEFAULT_VALUE] =>
)
[CML2_MANUFACTURER] => Array
(
[ID] => 457
[TIMESTAMP_X] => 2016-12-20 14:35:49
[IBLOCK_ID] => 73
[NAME] => Производитель
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_MANUFACTURER
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => CML2_MANUFACTURER
[FILE_TYPE] =>
[MULTIPLE_CNT] => 1
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Производитель
[~DEFAULT_VALUE] =>
)
[CML2_M_CLASS] => Array
(
[ID] => 466
[TIMESTAMP_X] => 2016-12-20 14:35:49
[IBLOCK_ID] => 73
[NAME] => Класифікатор ((М) Навчальний клас)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_M_CLASS
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_M_CLASS_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 90
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 116997449
)
[VALUE] => Array
(
[0] => 6323
)
[DESCRIPTION] => Array
(
[0] =>
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => 6323
)
[~DESCRIPTION] => Array
(
[0] =>
)
[~NAME] => Класифікатор ((М) Навчальний клас)
[~DEFAULT_VALUE] =>
)
[CML2_M_SUBJECT] => Array
(
[ID] => 467
[TIMESTAMP_X] => 2016-12-20 14:35:49
[IBLOCK_ID] => 73
[NAME] => Класифікатор ((М) Навчальний предмет)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_M_SUBJECT
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_M_SUBJECT_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 91
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 116997450
)
[VALUE] => Array
(
[0] => 6327
)
[DESCRIPTION] => Array
(
[0] =>
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => 6327
)
[~DESCRIPTION] => Array
(
[0] =>
)
[~NAME] => Класифікатор ((М) Навчальний предмет)
[~DEFAULT_VALUE] =>
)
[CML2_M_TYPE] => Array
(
[ID] => 468
[TIMESTAMP_X] => 2016-12-20 14:35:49
[IBLOCK_ID] => 73
[NAME] => Класифікатор ((М) Тип книги)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_M_TYPE
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_M_TYPE_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 92
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 116997451
)
[VALUE] => Array
(
[0] => 7946
)
[DESCRIPTION] => Array
(
[0] =>
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => 7946
)
[~DESCRIPTION] => Array
(
[0] =>
)
[~NAME] => Класифікатор ((М) Тип книги)
[~DEFAULT_VALUE] =>
)
[CML2_M_GRN] => Array
(
[ID] => 471
[TIMESTAMP_X] => 2016-12-20 14:35:49
[IBLOCK_ID] => 73
[NAME] => Класифікатор ((М) До 15 грн)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_M_GRN
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_M_GRN_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 94
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Класифікатор ((М) До 15 грн)
[~DEFAULT_VALUE] =>
)
[CML2_BP_ROZDIL] => Array
(
[ID] => 474
[TIMESTAMP_X] => 2016-12-20 14:35:49
[IBLOCK_ID] => 73
[NAME] => Класифікатор (Books in Print)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_BP_ROZDIL
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_BP_ROZDIL_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 96
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Класифікатор (Books in Print)
[~DEFAULT_VALUE] =>
)
[BOOK_GIFT] => Array
(
[ID] => 531
[TIMESTAMP_X] => 2016-12-20 14:35:49
[IBLOCK_ID] => 73
[NAME] => Електронна книга у подарунок
[ACTIVE] => Y
[SORT] => 500
[CODE] => BOOK_GIFT
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] =>
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Електронна книга у подарунок
[~DEFAULT_VALUE] =>
)
[BOOK_GIFT_FILE] => Array
(
[ID] => 532
[TIMESTAMP_X] => 2016-12-20 14:38:41
[IBLOCK_ID] => 73
[NAME] => Електронна книга у подарунок (файл)
[ACTIVE] => Y
[SORT] => 500
[CODE] => BOOK_GIFT_FILE
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => F
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] =>
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
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[HINT] =>
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[HINT] =>
[PROPERTY_VALUE_ID] =>
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[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
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[~VALUE] =>
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[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
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[LINK_IBLOCK_ID] =>
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[PRINT_DISCOUNT_VALUE_NOVAT] => 28,00 грн
[DISCOUNT_VALUE_VAT] => 28
[PRINT_DISCOUNT_VALUE_VAT] => 28,00 грн
[DISCOUNT_VATRATE_VALUE] => 0
[PRINT_DISCOUNT_VATRATE_VALUE] => 0,00 грн
[CURRENCY] => UAH
[ROUND_VALUE_VAT] => 28
[ROUND_VALUE_NOVAT] => 28
[ROUND_VATRATE_VALUE] => 0
[PRICE_ID] => 9
[ID] => 119801
[CAN_ACCESS] => Y
[CAN_BUY] => Y
[MIN_PRICE] => Y
[VALUE] => 28
[PRINT_VALUE] => 28,00 грн
[UNROUND_DISCOUNT_VALUE] => 28
[DISCOUNT_VALUE] => 28
[PRINT_DISCOUNT_VALUE] => 28,00 грн
[DISCOUNT_DIFF] => 0
[DISCOUNT_DIFF_PERCENT] => 0
[PRINT_DISCOUNT_DIFF] => 0,00 грн
)
)
[MIN_PRICE] => Array
(
[VALUE_NOVAT] => 28
[PRINT_VALUE_NOVAT] => 28,00 грн
[VALUE_VAT] => 28
[PRINT_VALUE_VAT] => 28,00 грн
[VATRATE_VALUE] => 0
[PRINT_VATRATE_VALUE] => 0,00 грн
[DISCOUNT_VALUE_NOVAT] => 28
[PRINT_DISCOUNT_VALUE_NOVAT] => 28,00 грн
[DISCOUNT_VALUE_VAT] => 28
[PRINT_DISCOUNT_VALUE_VAT] => 28,00 грн
[DISCOUNT_VATRATE_VALUE] => 0
[PRINT_DISCOUNT_VATRATE_VALUE] => 0,00 грн
[CURRENCY] => UAH
[ROUND_VALUE_VAT] => 28
[ROUND_VALUE_NOVAT] => 28
[ROUND_VATRATE_VALUE] => 0
[PRICE_ID] => 9
[ID] => 119801
[CAN_ACCESS] => Y
[CAN_BUY] => Y
[MIN_PRICE] => Y
[VALUE] => 28
[PRINT_VALUE] => 28,00 грн
[UNROUND_DISCOUNT_VALUE] => 28
[DISCOUNT_VALUE] => 28
[PRINT_DISCOUNT_VALUE] => 28,00 грн
[DISCOUNT_DIFF] => 0
[DISCOUNT_DIFF_PERCENT] => 0
[PRINT_DISCOUNT_DIFF] => 0,00 грн
)
[CAN_BUY] => 1
[~BUY_URL] => /catalog/book/103084/?IBLOCK_ID=book&SECTION_ID=103084&action=BUY&id=103084
[BUY_URL] => /catalog/book/103084/?IBLOCK_ID=book&SECTION_ID=103084&action=BUY&id=103084
[~ADD_URL] => /catalog/book/103084/?IBLOCK_ID=book&SECTION_ID=103084&action=ADD2BASKET&id=103084
[ADD_URL] => /catalog/book/103084/?IBLOCK_ID=book&SECTION_ID=103084&action=ADD2BASKET&id=103084
[LINK_URL] => link.php?PARENT_ELEMENT_ID=103084
[~SUBSCRIBE_URL] => /catalog/book/103084/?IBLOCK_ID=book&SECTION_ID=103084&action=SUBSCRIBE_PRODUCT&id=103084
[SUBSCRIBE_URL] => /catalog/book/103084/?IBLOCK_ID=book&SECTION_ID=103084&action=SUBSCRIBE_PRODUCT&id=103084
[OFFERS] => Array
(
)
[counterData] => Array
(
[item] => 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
[user_id] => Bitrix\Main\Text\JsExpression Object
(
[expression:protected] => function() {
return BX.message("USER_ID") ? BX.message("USER_ID") : 0;
}
)
[recommendation] => Bitrix\Main\Text\JsExpression Object
(
[expression:protected] => function() {
var rcmId = "";
var cookieValue = BX.getCookie("BITRIX_SM_RCM_PRODUCT_LOG");
var productId = 103084;
var cItems = [],
cItem;
if (cookieValue)
{
cItems = cookieValue.split('.');
}
var i = cItems.length;
while (i--)
{
cItem = cItems[i].split('-');
if (cItem[0] == productId)
{
rcmId = cItem[1];
break;
}
}
return rcmId;
}
)
[v] => 2
)
[AUTHOR] => Array
(
[0] => Array
(
[ID] => 104373
[~ID] => 104373
[NAME] => Бродський Яків Соломонович
[~NAME] => Бродський Яків Соломонович
[DATE_ACTIVE_FROM] =>
[~DATE_ACTIVE_FROM] =>
[DETAIL_PICTURE] =>
[~DETAIL_PICTURE] =>
[DETAIL_PAGE_URL] => /author/104373/
[~DETAIL_PAGE_URL] => /author/104373/
[LANG_DIR] => /
[~LANG_DIR] => /
[CODE] =>
[~CODE] =>
[EXTERNAL_ID] => 70c14168-466b-11df-9b46-0012f0c1528a
[~EXTERNAL_ID] => 70c14168-466b-11df-9b46-0012f0c1528a
[IBLOCK_SECTION_ID] =>
[~IBLOCK_SECTION_ID] =>
[IBLOCK_TYPE_ID] => 1c_catalog
[~IBLOCK_TYPE_ID] => 1c_catalog
[IBLOCK_ID] => 83
[~IBLOCK_ID] => 83
[IBLOCK_CODE] => authors
[~IBLOCK_CODE] => authors
[IBLOCK_EXTERNAL_ID] => authors_out
[~IBLOCK_EXTERNAL_ID] => authors_out
[LID] => ua
[~LID] => ua
)
[1] => Array
(
[ID] => 107294
[~ID] => 107294
[NAME] => Сліпенко Анатолій Костянтинович
[~NAME] => Сліпенко Анатолій Костянтинович
[DATE_ACTIVE_FROM] =>
[~DATE_ACTIVE_FROM] =>
[DETAIL_PICTURE] =>
[~DETAIL_PICTURE] =>
[DETAIL_PAGE_URL] => /author/107294/
[~DETAIL_PAGE_URL] => /author/107294/
[LANG_DIR] => /
[~LANG_DIR] => /
[CODE] =>
[~CODE] =>
[EXTERNAL_ID] => 70c1416a-466b-11df-9b46-0012f0c1528a
[~EXTERNAL_ID] => 70c1416a-466b-11df-9b46-0012f0c1528a
[IBLOCK_SECTION_ID] =>
[~IBLOCK_SECTION_ID] =>
[IBLOCK_TYPE_ID] => 1c_catalog
[~IBLOCK_TYPE_ID] => 1c_catalog
[IBLOCK_ID] => 83
[~IBLOCK_ID] => 83
[IBLOCK_CODE] => authors
[~IBLOCK_CODE] => authors
[IBLOCK_EXTERNAL_ID] => authors_out
[~IBLOCK_EXTERNAL_ID] => authors_out
[LID] => ua
[~LID] => ua
)
)
[COMPLECT] => N
[ALL] => Array
(
[SECTION_BOOK] => 3414
[SEC_NAME] => Додаткові посібники
)
[META] => Array
(
[H1] => Похідна та інтеграл у нерівностях, рівняннях, тотожностях
[TITLE] => Похідна та інтеграл у нерівностях, рівняннях, тотожностях
)
[WO] =>
[MORE_TAB] => Array
(
[VUD_ADD] => 28453d8b-d07d-11df-92a8-001517c70544
[AUTHOR] => Array
(
[0] => 70c14168-466b-11df-9b46-0012f0c1528a
[1] => 70c1416a-466b-11df-9b46-0012f0c1528a
)
[MORE_BOOK] =>
)
[COUNT_MORE_BOOK] =>
)
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