اندازه و احتمال

توضیحات

این کتاب برای دانشجویان مقاطع کارشناسی ارشد و دکتری طراحی شده است. هدف کتاب پوشش میانی نظریه اندازه و نشریه احتمال است. ابتدا از طریق رویکرد اندازه خارجی کاراتیودوری، اندازه لبک ساخته و پس از آن انتگرال و قضایای حدی استاندارد مانند قضیه همگرایی یکنوا، قضیه همگرایی مغلو و همچنین لم‌فاتو بیان می‌شود. در ادامه عناصر نظریه احتمال از قبیل متغیرهای تصادفی، توزیع‌ها، استقلال، قضایای اندازه‌های حاصل‌ضرب، قانون اعداد بزرگ و قضیه حد مرکزی ارایه می‌شود. سپس زنجیرهای مارکوف زمان گسسته، توزیع های مانا و قضیه های حدید بحث و بررسی می‌شود. یک فصل کامل به اندازه‌های مختلط قضیه رادون- نیکودیم و قضیه نمایش ریش اختصاص یافته است. اثبات بدیل قضیه نمایش ریس و قانون اعداد بزرگ از ویژگی های برجسته کتاب است. سرانجام بسیاری از عنوان‌های اساسی همچون فضاهای متریک، فضاهای توپولوژیک و قضیه استون-0وایراشترلوس در ضمیمه کتاب مطرح ‌می‌شود.,

{"id":3804390,"title":"اندازه و احتمال","price":"۱۴۰‌,‌۰۰۰","ebook_price":"۷۰‌,‌۰۰۰","rent_3_price":"۳۵‌,‌۰۰۰","rent_6_price":"۴۲‌,‌۰۰۰","rent_12_price":"-۱","print_price":"-۱","front_cover":{"thumbnail":"/storage/files/styles/thumbnail/books/3b0036a6640ca7e1/front.jpg","large":"/storage/files/styles/large/books/3b0036a6640ca7e1/front.jpg","medium_rounded":"/storage/files/styles/medium_rounded/books/3b0036a6640ca7e1/front.jpg","medium":"/storage/files/styles/medium/books/3b0036a6640ca7e1/front.jpg","medium_zoom_fit":"/storage/files/styles/medium_zoom_fit/anonymous.jpg","medium_trans":"/storage/files/styles/medium_trans/books/3b0036a6640ca7e1/front.jpg"},"back_cover":{"thumbnail":"/storage/files/styles/medium/anonymous.jpg","large":"/storage/files/styles/medium/anonymous.jpg","medium_rounded":"/storage/files/styles/medium/anonymous.jpg","medium":"/storage/files/styles/medium/anonymous.jpg","medium_zoom_fit":"/storage/files/styles/medium/anonymous.jpg","medium_trans":"/storage/files/styles/medium/anonymous.jpg"},"file":null,"print_book":0,"isbn":"9789642175543","lang":null,"cover_type":null,"dimension":null,"year":"۱۴۰۱","nobat_chap":1,"description":["<p style=\"text-align: right;\">این کتاب برای دانشجویان مقاطع کارشناسی ارشد و دکتری طراحی شده است. هدف کتاب پوشش میانی نظریه اندازه و نشریه احتمال است. ابتدا از طریق رویکرد اندازه خارجی کاراتیودوری، اندازه لبک ساخته و پس از آن انتگرال و قضایای حدی استاندارد مانند قضیه همگرایی یکنوا، قضیه همگرایی مغلو و همچنین لم&zwnj;فاتو بیان می&zwnj;شود. در ادامه عناصر نظریه احتمال از قبیل متغیرهای تصادفی، توزیع&zwnj;ها، استقلال، قضایای اندازه&zwnj;های حاصل&zwnj;ضرب، قانون اعداد بزرگ و قضیه حد مرکزی ارایه می&zwnj;شود. سپس زنجیرهای مارکوف زمان گسسته، توزیع های مانا و قضیه های حدید بحث و بررسی می&zwnj;شود. یک فصل کامل به اندازه&zwnj;های مختلط قضیه رادون- نیکودیم و قضیه نمایش ریش اختصاص یافته است. اثبات بدیل قضیه نمایش ریس و قانون اعداد بزرگ از ویژگی های برجسته کتاب است. سرانجام بسیاری از عنوان&zwnj;های اساسی همچون فضاهای متریک، فضاهای توپولوژیک و قضیه استون-0وایراشترلوس در ضمیمه کتاب مطرح &zwnj;می&zwnj;شود.",""],"pages_count":342,"keywords":null,"token":"3b0036a6640ca7e1","created_at":"2023-05-14 11:17:39","updated_at":"2023-05-14 11:34:45","publisher_id":177,"deleted_at":null,"published_at":"2023-05-14 11:34:44","available_for_web":1,"publisher_title":"دانشگاه علامه طباطبایی","edition":null,"currency":"IRR","subtitle":null,"country":"iran","exclusive_rights":null,"not_for_sale":null,"rent_1_week_price":"-۱","meta_desc":null,"meta_title":null,"stock":140000,"cache":1,"authors":[{"id":1931256,"title":"اس آر. آتریا","meta_title":"اس آر. آتریا","meta_description":"اس آر. آتریا - بوکت، نخستین و بزرگ‌ترین سامانه‌ی یادگیری و آموزش با قابلیت کرایه و خرید نسخه‌ی الکترونیکی کتاب‌های دانشگاهی است ","faq":null,"keywords":"بوکت,کرایه کتاب,کتاب الکترونیک/ نسخه الکترونیک,ئی بوک/ایبوک,مطالعه آنلاین,کتاب تخصصی,کتاب دانشگاهی,دانلود کتاب,خرید کتاب,جستجوی کتاب,خرید کتاب الکترونیک,ناشرشو,چاپ کتاب,چاپ رایگان کتاب,کتاب مهندسی,کتاب پزشکی,کتاب مدیریت,جیتجو در متن کتاب,دانلود اپلیکیشن کتابخوان","description":null,"firstname":"اس","lastname":"آر. آتریا","token":"87ef9056b64ffe3e","created_at":"2023-05-14 11:34:44","updated_at":"2023-05-14 11:34:44","national_code":null,"role":"writer"},{"id":1931257,"title":"وی. اس. ساندر","meta_title":"وی. اس. ساندر","meta_description":"وی. اس. ساندر - بوکت، نخستین و بزرگ‌ترین سامانه‌ی یادگیری و آموزش با قابلیت کرایه و خرید نسخه‌ی الکترونیکی کتاب‌های دانشگاهی است ","faq":null,"keywords":"بوکت,کرایه کتاب,کتاب الکترونیک/ نسخه الکترونیک,ئی بوک/ایبوک,مطالعه آنلاین,کتاب تخصصی,کتاب دانشگاهی,دانلود کتاب,خرید کتاب,جستجوی کتاب,خرید کتاب الکترونیک,ناشرشو,چاپ کتاب,چاپ رایگان کتاب,کتاب مهندسی,کتاب پزشکی,کتاب مدیریت,جیتجو در متن کتاب,دانلود اپلیکیشن کتابخوان","description":null,"firstname":"وی.","lastname":"اس. ساندر","token":"7c43cb032c97220a","created_at":"2023-05-14 11:34:44","updated_at":"2023-05-14 11:34:44","national_code":null,"role":"writer"},{"id":1931258,"title":"دکتر رضا پورطاهری","meta_title":"دکتر رضا پورطاهری","meta_description":"دکتر رضا پورطاهری - بوکت، نخستین و بزرگ‌ترین سامانه‌ی یادگیری و آموزش با قابلیت کرایه و خرید نسخه‌ی الکترونیکی کتاب‌های دانشگاهی است ","faq":null,"keywords":"بوکت,کرایه کتاب,کتاب الکترونیک/ نسخه الکترونیک,ئی بوک/ایبوک,مطالعه آنلاین,کتاب تخصصی,کتاب دانشگاهی,دانلود کتاب,خرید کتاب,جستجوی کتاب,خرید کتاب الکترونیک,ناشرشو,چاپ کتاب,چاپ رایگان کتاب,کتاب مهندسی,کتاب پزشکی,کتاب مدیریت,جیتجو در متن کتاب,دانلود اپلیکیشن کتابخوان","description":null,"firstname":"دکتر","lastname":"رضا پورطاهری","token":"2a0555a614ff1b89","created_at":"2023-05-14 11:34:44","updated_at":"2023-05-14 11:34:44","national_code":null,"role":"translator"}],"writer_authors":[{"id":1931256,"title":"اس آر. آتریا","meta_title":"اس آر. آتریا","meta_description":"اس آر. آتریا - بوکت، نخستین و بزرگ‌ترین سامانه‌ی یادگیری و آموزش با قابلیت کرایه و خرید نسخه‌ی الکترونیکی کتاب‌های دانشگاهی است ","faq":null,"keywords":"بوکت,کرایه کتاب,کتاب الکترونیک/ نسخه الکترونیک,ئی بوک/ایبوک,مطالعه آنلاین,کتاب تخصصی,کتاب دانشگاهی,دانلود کتاب,خرید کتاب,جستجوی کتاب,خرید کتاب الکترونیک,ناشرشو,چاپ کتاب,چاپ رایگان کتاب,کتاب مهندسی,کتاب پزشکی,کتاب مدیریت,جیتجو در متن کتاب,دانلود اپلیکیشن کتابخوان","description":null,"firstname":"اس","lastname":"آر. آتریا","token":"87ef9056b64ffe3e","created_at":"2023-05-14 11:34:44","updated_at":"2023-05-14 11:34:44","national_code":null,"role":"writer"},{"id":1931257,"title":"وی. اس. ساندر","meta_title":"وی. اس. ساندر","meta_description":"وی. اس. ساندر - بوکت، نخستین و بزرگ‌ترین سامانه‌ی یادگیری و آموزش با قابلیت کرایه و خرید نسخه‌ی الکترونیکی کتاب‌های دانشگاهی است ","faq":null,"keywords":"بوکت,کرایه کتاب,کتاب الکترونیک/ نسخه الکترونیک,ئی بوک/ایبوک,مطالعه آنلاین,کتاب تخصصی,کتاب دانشگاهی,دانلود کتاب,خرید کتاب,جستجوی کتاب,خرید کتاب الکترونیک,ناشرشو,چاپ کتاب,چاپ رایگان کتاب,کتاب مهندسی,کتاب پزشکی,کتاب مدیریت,جیتجو در متن کتاب,دانلود اپلیکیشن کتابخوان","description":null,"firstname":"وی.","lastname":"اس. ساندر","token":"7c43cb032c97220a","created_at":"2023-05-14 11:34:44","updated_at":"2023-05-14 11:34:44","national_code":null,"role":"writer"}],"translator_authors":[{"id":1931258,"title":"دکتر رضا پورطاهری","meta_title":"دکتر رضا پورطاهری","meta_description":"دکتر رضا پورطاهری - بوکت، نخستین و بزرگ‌ترین سامانه‌ی یادگیری و آموزش با قابلیت کرایه و خرید نسخه‌ی الکترونیکی کتاب‌های دانشگاهی است ","faq":null,"keywords":"بوکت,کرایه کتاب,کتاب الکترونیک/ نسخه الکترونیک,ئی بوک/ایبوک,مطالعه آنلاین,کتاب تخصصی,کتاب دانشگاهی,دانلود کتاب,خرید کتاب,جستجوی کتاب,خرید کتاب الکترونیک,ناشرشو,چاپ کتاب,چاپ رایگان کتاب,کتاب مهندسی,کتاب پزشکی,کتاب مدیریت,جیتجو در متن کتاب,دانلود اپلیکیشن کتابخوان","description":null,"firstname":"دکتر","lastname":"رضا پورطاهری","token":"2a0555a614ff1b89","created_at":"2023-05-14 11:34:44","updated_at":"2023-05-14 11:34:44","national_code":null,"role":"translator"}],"views":0,"e_book":{"id":788338,"file":"6460840bcfa034.09298377.pdf","book_id":3804390,"toc":null,"created_at":"2023-05-14 11:17:40","updated_at":"2023-05-14 11:34:45","process_started_at":"2023-05-14 11:17:41","process_done_at":"2023-05-14 11:17:45","process_failed_at":null,"pages_count":342,"version":"ocr.1.2.2","dir":"rtl","password":"151c20b425fa45457c0c8f85e5cd75a888fba05224524dbaf87b58b563ab031c067164e08926e8e9fa18cd6324512a9be57e76bdf6bc193891069d533d481422","encrypted_data":null,"state":"converting","pages_count_fa":"۳۴۲"},"publisher":{"id":177,"title":"دانشگاه علامه طباطبایی","description":null,"token":"1e102f813f5d9b3b","slug":"atu"},"study_subjects":[{"id":988,"title":"احتمال و استنباط آماری","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"37564a96339321ab","type":"","books_count":10,"created_at":"2017-10-07 11:24:04","updated_at":"2023-10-23 14:10:55","study_fields":[{"id":82,"title":"علوم حدیث گرایش اقتصاد اسلامی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":10,"token":"abea1d7d61d61d76","books_count":60,"created_at":"2017-10-07 11:22:48","updated_at":"2024-06-07 13:03:09","study_groups":[{"id":13,"title":"علوم انسانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"6d33eefc2ca30b1f","books_count":1340,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-22 18:28:52"}]},{"id":337,"title":"علوم اقتصاد","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":10,"token":"d4b9faa0b3e2aec1","books_count":51,"created_at":"2017-10-07 11:22:50","updated_at":"2024-11-17 08:13:24","study_groups":[{"id":13,"title":"علوم انسانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"6d33eefc2ca30b1f","books_count":1340,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-22 18:28:52"}]}]},{"id":991,"title":"احتمال و آمار در مدیریت","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"5f1ae9d134b308cf","type":"","books_count":14,"created_at":"2017-10-07 11:24:04","updated_at":"2023-10-23 14:10:55","study_fields":[{"id":340,"title":"مدیریت کسب و کار گرایش استراتژی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":10,"token":"76ee93a060dd6234","books_count":115,"created_at":"2017-10-07 11:22:50","updated_at":"2024-11-18 11:29:23","study_groups":[{"id":13,"title":"علوم انسانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"6d33eefc2ca30b1f","books_count":1340,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-22 18:28:52"}]},{"id":343,"title":"مدیریت کسب و کار گرایش بازاریابی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":10,"token":"5ba4bfceed7f605b","books_count":131,"created_at":"2017-10-07 11:22:50","updated_at":"2024-11-18 11:29:23","study_groups":[{"id":13,"title":"علوم انسانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"6d33eefc2ca30b1f","books_count":1340,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-22 18:28:52"}]},{"id":346,"title":"مدیریت کسب و کار گرایش رفتار سازمانی و منابع انسانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":10,"token":"2e078bcc186e0952","books_count":97,"created_at":"2017-10-07 11:22:50","updated_at":"2024-11-18 11:29:23","study_groups":[{"id":13,"title":"علوم انسانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"6d33eefc2ca30b1f","books_count":1340,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-22 18:28:52"}]},{"id":349,"title":"مدیریت کسب و کار گرایش سیستم های اطلاعاتی و فناوری اطلاعات","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":10,"token":"f71d9a87bde852d0","books_count":101,"created_at":"2017-10-07 11:22:50","updated_at":"2024-11-22 18:07:26","study_groups":[{"id":13,"title":"علوم انسانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"6d33eefc2ca30b1f","books_count":1340,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-22 18:28:52"}]},{"id":352,"title":"مدیریت کسب و کار گرایش عملیات و زنجیره تامین","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":10,"token":"a960dd618f873e7e","books_count":99,"created_at":"2017-10-07 11:22:50","updated_at":"2024-11-18 11:29:23","study_groups":[{"id":13,"title":"علوم انسانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"6d33eefc2ca30b1f","books_count":1340,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-22 18:28:52"}]},{"id":355,"title":"مدیریت کسب و کار گرایش فناوری","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":10,"token":"1fbbe5af2715d838","books_count":94,"created_at":"2017-10-07 11:22:50","updated_at":"2024-11-18 11:29:23","study_groups":[{"id":13,"title":"علوم انسانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"6d33eefc2ca30b1f","books_count":1340,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-22 18:28:52"}]},{"id":358,"title":"مدیریت کسب و کار گرایش مالی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":10,"token":"693b8b52e398f59b","books_count":103,"created_at":"2017-10-07 11:22:50","updated_at":"2024-11-18 11:29:23","study_groups":[{"id":13,"title":"علوم انسانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"6d33eefc2ca30b1f","books_count":1340,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-22 18:28:52"}]}]},{"id":994,"title":"احتمال و آمار فازی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"4d5c8fc8f13ebdab","type":"","books_count":6,"created_at":"2017-10-07 11:24:04","updated_at":"2023-05-14 11:34:44","study_fields":[{"id":361,"title":"علوم تصمیم و مهندسی دانش","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":10,"token":"f4ca7b763bdd8998","books_count":15,"created_at":"2017-10-07 11:22:50","updated_at":"2023-05-14 11:34:45","study_groups":[{"id":10,"title":"فنی و مهندسی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"cd075d6bdb3fbd29","books_count":736,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-28 12:53:16"}]}]},{"id":997,"title":"احتمال و کاربرد آن","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"2d13a139085447a7","type":"","books_count":3,"created_at":"2017-10-07 11:24:04","updated_at":"2023-05-14 11:34:44","study_fields":[{"id":364,"title":"آمار","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"2dec0397f40af88c","books_count":27,"created_at":"2017-10-07 11:22:50","updated_at":"2024-09-26 12:21:49","study_groups":[{"id":13,"title":"علوم انسانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"6d33eefc2ca30b1f","books_count":1340,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-22 18:28:52"}]}]},{"id":1000,"title":"احتمالات در ICT","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"13ca9c52762d00c8","type":"","books_count":3,"created_at":"2017-10-07 11:24:04","updated_at":"2023-05-14 11:34:44","study_fields":[{"id":367,"title":"فناوری اطلاعات و ارتباطات","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"247b88a256d9dee5","books_count":21,"created_at":"2017-10-07 11:22:50","updated_at":"2023-05-14 11:34:45","study_groups":[{"id":13,"title":"علوم انسانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"6d33eefc2ca30b1f","books_count":1340,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-22 18:28:52"}]}]},{"id":7522,"title":"آمار و احتمال","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"e8344088bcdf4075","type":"","books_count":4,"created_at":"2017-10-07 11:25:32","updated_at":"2023-05-14 11:34:44","study_fields":[{"id":1138,"title":"دبیری ریاضی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"2ab6c2d4876b2f63","books_count":37,"created_at":"2017-10-07 11:22:55","updated_at":"2024-03-05 19:12:42","study_groups":[{"id":10,"title":"فنی و مهندسی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"cd075d6bdb3fbd29","books_count":736,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-28 12:53:16"}]}]},{"id":7525,"title":"آمار و احتمال","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c3019f4f211559eb","type":"","books_count":5,"created_at":"2017-10-07 11:25:32","updated_at":"2023-05-14 11:34:44","study_fields":[{"id":364,"title":"آمار","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"2dec0397f40af88c","books_count":27,"created_at":"2017-10-07 11:22:50","updated_at":"2024-09-26 12:21:49","study_groups":[{"id":13,"title":"علوم انسانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"6d33eefc2ca30b1f","books_count":1340,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-22 18:28:52"}]}]},{"id":7528,"title":"آمار و احتمال ۲","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"2a25f11580464ac2","type":"","books_count":5,"created_at":"2017-10-07 11:25:32","updated_at":"2023-05-14 11:34:45","study_fields":[{"id":1138,"title":"دبیری ریاضی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"2ab6c2d4876b2f63","books_count":37,"created_at":"2017-10-07 11:22:55","updated_at":"2024-03-05 19:12:42","study_groups":[{"id":10,"title":"فنی و مهندسی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"cd075d6bdb3fbd29","books_count":736,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-28 12:53:16"}]}]},{"id":7531,"title":"آمار و احتمال در اپتیک","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"4b7936e78d4e90a5","type":"","books_count":5,"created_at":"2017-10-07 11:25:32","updated_at":"2023-05-14 11:34:45","study_fields":[{"id":205,"title":"مهندسی اپتیک و لیزر","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"9d9e9b1352071024","books_count":34,"created_at":"2017-10-07 11:22:49","updated_at":"2023-10-29 14:45:36","study_groups":[{"id":10,"title":"فنی و مهندسی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"cd075d6bdb3fbd29","books_count":736,"created_at":"2017-10-07 11:22:44","updated_at":"2024-11-28 12:53:16"}]}]},{"id":7534,"title":"آمار و احتمالات","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"9fd549ac6f2b723d","type":"","books_count":4,"created_at":"2017-10-07 11:25:32","updated_at":"2023-05-14 11:34:45","study_fields":[{"id":388,"title":"مدیریت مناطق خشک و بیابانی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"a96bb2f4c88566f2","books_count":28,"created_at":"2017-10-07 11:22:50","updated_at":"2024-11-23 19:00:21","study_groups":[{"id":7,"title":"علوم تجربی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c037eef8703f5ba1","books_count":1033,"created_at":"2017-10-07 11:22:44","updated_at":"2024-12-01 09:39:33"}]},{"id":391,"title":"مهندسی مرتع و آبخیزداری","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"71f7a83692550037","books_count":49,"created_at":"2017-10-07 11:22:50","updated_at":"2024-11-23 19:00:21","study_groups":[{"id":7,"title":"علوم تجربی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c037eef8703f5ba1","books_count":1033,"created_at":"2017-10-07 11:22:44","updated_at":"2024-12-01 09:39:33"}]},{"id":811,"title":"مهندسی محیط زیست","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"b49fbd4602853387","books_count":145,"created_at":"2017-10-07 11:22:53","updated_at":"2024-11-22 18:25:40","study_groups":[{"id":7,"title":"علوم تجربی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c037eef8703f5ba1","books_count":1033,"created_at":"2017-10-07 11:22:44","updated_at":"2024-12-01 09:39:33"}]},{"id":862,"title":"مهندسی تولیدات گیاهی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"8a920332559629d5","books_count":85,"created_at":"2017-10-07 11:22:53","updated_at":"2024-11-23 19:00:21","study_groups":[{"id":7,"title":"علوم تجربی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c037eef8703f5ba1","books_count":1033,"created_at":"2017-10-07 11:22:44","updated_at":"2024-12-01 09:39:33"}]},{"id":886,"title":"مهندسی چوب و کاغذ","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"77a36e17bf787460","books_count":50,"created_at":"2017-10-07 11:22:53","updated_at":"2024-11-22 18:25:40","study_groups":[{"id":7,"title":"علوم تجربی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c037eef8703f5ba1","books_count":1033,"created_at":"2017-10-07 11:22:44","updated_at":"2024-12-01 09:39:33"}]},{"id":1000,"title":"مهندسی علوم دامی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"c08e4b4d2019c224","books_count":97,"created_at":"2017-10-07 11:22:54","updated_at":"2024-11-20 11:07:21","study_groups":[{"id":7,"title":"علوم تجربی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c037eef8703f5ba1","books_count":1033,"created_at":"2017-10-07 11:22:44","updated_at":"2024-12-01 09:39:33"}]},{"id":1021,"title":"مهندسی مکانیزاسیون کشاورزی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"51c25b495975de77","books_count":117,"created_at":"2017-10-07 11:22:54","updated_at":"2024-11-23 19:00:21","study_groups":[{"id":7,"title":"علوم تجربی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c037eef8703f5ba1","books_count":1033,"created_at":"2017-10-07 11:22:44","updated_at":"2024-12-01 09:39:33"}]},{"id":1099,"title":"علوم و مهندسی صنایع غذایی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"0ff62d5a1ce9312f","books_count":180,"created_at":"2017-10-07 11:22:54","updated_at":"2024-10-15 09:32:12","study_groups":[{"id":7,"title":"علوم تجربی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c037eef8703f5ba1","books_count":1033,"created_at":"2017-10-07 11:22:44","updated_at":"2024-12-01 09:39:33"}]},{"id":1102,"title":"علوم و مهندسی صنایع غذایی (کشاورزی)","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"689b6c896800632c","books_count":180,"created_at":"2017-10-07 11:22:54","updated_at":"2024-10-15 09:32:12","study_groups":[{"id":7,"title":"علوم تجربی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c037eef8703f5ba1","books_count":1033,"created_at":"2017-10-07 11:22:44","updated_at":"2024-12-01 09:39:33"}]},{"id":1108,"title":"مهندسی زراعت و اصلاح نباتات","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"ae016dbed6176d34","books_count":97,"created_at":"2017-10-07 11:22:54","updated_at":"2024-09-16 17:01:55","study_groups":[{"id":7,"title":"علوم تجربی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c037eef8703f5ba1","books_count":1033,"created_at":"2017-10-07 11:22:44","updated_at":"2024-12-01 09:39:33"}]},{"id":1111,"title":"مهندسی گیاه پزشکی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"0c3c584e5f96baad","books_count":154,"created_at":"2017-10-07 11:22:54","updated_at":"2024-11-20 11:07:21","study_groups":[{"id":7,"title":"علوم تجربی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c037eef8703f5ba1","books_count":1033,"created_at":"2017-10-07 11:22:44","updated_at":"2024-12-01 09:39:33"}]},{"id":1387,"title":"رشته جنگلداری","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"96c503543186b7ab","books_count":30,"created_at":"2017-10-07 11:22:57","updated_at":"2024-11-22 18:17:35","study_groups":[{"id":7,"title":"علوم تجربی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c037eef8703f5ba1","books_count":1033,"created_at":"2017-10-07 11:22:44","updated_at":"2024-12-01 09:39:33"}]},{"id":1390,"title":"مهندسی جنگلداری","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"degree_id":7,"token":"f175e4d7cf701e11","books_count":28,"created_at":"2017-10-07 11:22:57","updated_at":"2024-11-22 18:17:35","study_groups":[{"id":7,"title":"علوم تجربی","meta_title":null,"meta_description":null,"faq":null,"keywords":null,"description":null,"token":"c037eef8703f5ba1","books_count":1033,"created_at":"2017-10-07 11:22:44","updated_at":"2024-12-01 09:39:33"}]}]}],"titleLink":"%D8%A7%D9%86%D8%AF%D8%A7%D8%B2%D9%87-%D9%88-%D8%A7%D8%AD%D8%AA%D9%85%D8%A7%D9%84","ebook_price_en":70000,"urlify":"%D8%A7%D9%86%D8%AF%D8%A7%D8%B2%D9%87-%D9%88-%D8%A7%D8%AD%D8%AA%D9%85%D8%A7%D9%84","pages_count_fa":"۳۴۲","authorTitle":"اس آر. آتریا, وی. اس. ساندر, دکتر رضا پورطاهری","tocStr":"","url":"/preview/3b0036a6640ca7e1/%D8%A7%D9%86%D8%AF%D8%A7%D8%B2%D9%87-%D9%88-%D8%A7%D8%AD%D8%AA%D9%85%D8%A7%D9%84"}

اندازه و احتمال

نشر دانشگاه علامه طباطبایی

اس آر. آتریا - وی. اس. ساندر - دکتر رضا پورطاهری

قابل مطالعه فقط در پلتفرم‌های بوکت

نسخه چاپی موجود نمی باشد

توضیحات