مبانی ماتریس‌ها و جبر خطی

{"id":3804317,"title":"مبانی ماتریس‌ها و جبر خطی","price":"۱۲۹‌,‌۳۰۰","ebook_price":"۵۵‌,‌۰۰۰","rent_3_price":"۲۷‌,‌۵۰۰","rent_6_price":"۳۳‌,‌۰۰۰","rent_12_price":"-۱","print_price":"-۱","front_cover":{"thumbnail":"/storage/files/styles/thumbnail/books/a13e9855251d8d27/front.jpg","large":"/storage/files/styles/large/books/a13e9855251d8d27/front.jpg","medium_rounded":"/storage/files/styles/medium_rounded/books/a13e9855251d8d27/front.jpg","medium":"/storage/files/styles/medium/books/a13e9855251d8d27/front.jpg","medium_zoom_fit":"/storage/files/styles/medium_zoom_fit/anonymous.jpg","medium_trans":"/storage/files/styles/medium_trans/books/a13e9855251d8d27/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":"9786006121307","lang":null,"cover_type":null,"dimension":null,"year":"۱۳۹۳","nobat_chap":1,"description":["<p class=\"MsoNormal\" dir=\"RTL\" style=\"text-align: justify; text-indent: 22.35pt;\"><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">در کتاب حاضر، با این نگاه که علم نتیجه وجود خدای واحد است به طرح مطالب پرداخته شده است. وحدت&zwnj;بخشی که یک ابزار فطری بشر است، نتیجه این حقیقت است و به تعالی نظریه&zwnj;های علمی، از جمله این شاخه از ریاضیات (جبر خطی)، منجر شده است که سعی کرده&zwnj;ایم، نمایان&zwnj;تر شود. با وجود خدایان متعدد، یک عملگر با وجود ورودی یکسان، بستگی به سلیقه هر خدا، خروجی&zwnj;های متفاوت خواهد داشت؛ یعنی، مفهوم تابع که اساس ریاضیات بر آن است یک موجود خیالی می&zwnj;شود. دیگر صنعت مونتاژ یک مفهوم پوچ است، دیگر نسخه&zwnj;پیچی و راه&zwnj;حل&zwnj;ها برای مشکل&zwnj;ها معنا ندارد. بدین ترتیب نوشتن مقاله و صحبت از &laquo;... اگر ... آنگاه&raquo; بی&zwnj;معنی است. به بیان دیگر، چیزی به نام علم نداریم. چه زیبا قرآن بیان کرده است که اگر در زمین و آسمان چند خدا بود، فساد آن را فرا می&zwnj;گرفت و در آیه دیگر، &laquo;خداى دیگرى با او نیست، و اگر چنین می&zwnj;شد، هر یک از خدایان مخلوق&zwnj;های خود را اداره مى&zwnj;کردند و بعضى بر بعضى دیگر برترى مى&zwnj;جستند. خداوند منزه است از آنچه آنان توصیف می&zwnj;کنند&raquo;. اما خداوند بر اساس سنت&zwnj;هایی ثابت که در آنها تغییری ایجاد نمی&zwnj;شود هستی را تدبیر می&zwnj;کند. بشر در هر زمینه&zwnj;ای این سنت&zwnj;ها را می&zwnj;یابد؛ او باید زبانی اختراع کند و دستاوردهای خود را به&zwnj;وسیله آن ثبت کند به گونه&zwnj;ای که نتوان از یک مطلب دو گونه برداشت کرد (باز هم، وحدت در برداشت!)؛ بدین طریق است که زبان ریاضی به طور طبیعی زاییده شد. مفهوم عدد، بردار، ماتریس، تابع، جمع و ضرب، و ...، که برشمردن همه آنها کاری بسیار سخت است، به وجود آمد. دانشمندان ریاضی با ارایه دستگاه&zwnj;های مختلف ریاضی مانند جبر، هندسه، آنالیز و ...، در ایجاد و وحدت&zwnj;بخشی بدین دستاوردها کوشیدند، به گونه&zwnj;ای که مطالعه این دستگاه&zwnj;ها و کشف روابط نو در این دستگاه ذهنی، او را به کشف نظیر واقعی آن در جهان هستی هدایت می&zwnj;کند. شاید شنیده باشید، دستگاه ریاضی که نیوتن برای مطالعه حرکت سیاره&zwnj;ها ساخت، آن قدر دقیق بود که بدون رصد، توانست سه قانون کپلر را کشف کند. او ثابت کرد که مسیر حرکت سیاره&zwnj;ها باید بیضی باشد نه دایره، خطایی که دانشمندان نجوم پیش از کپلر مانند کپرنیک به آن معتقد بودند. امروزه با ابزار آنالیز برداری به مطالعه این بخش از هستی می&zwnj;پردازند و با استفاده از روابط ریاضی آن، به وجود سیاره&zwnj;ای می&zwnj;رسند که با رصد کردن به وجود آن پی نبرده&zwnj;اند. پس ریاضی از اینکه<span style=\"mso-spacerun: yes;\"> </span>فقط زبان باشد، خارج می&zwnj;شود و به علم موجودهایی تبدیل می&zwnj;شود که جایگاهشان در ذهن است. انسان می&zwnj;خواهد با مطالعه اصولی این دنیای ذهنی بتواند واقعیت خارج از ذهن خود را بشناسد و آینده را با مدل&zwnj;های ذهنی، پیش&zwnj;بینی و به کنترل خود درآورد، یا به عبارتی مدیریت کند. برای نمونه، برآورد هزینه&zwnj;ها و تخصیص بودجه، یک مدل ریاضی ذهنی است که به اداره امور یک کشور می&zwnj;انجامد. کتاب حاضر، سرفصل درس مبانی ماتریس</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">ها و جبر خطی رشته علوم ریاضی، همچنین رشته</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">های فنی و مهندسی را پوشش</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\"> <span lang=\"FA\">می</span></span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">دهد. برای توضیح مباحث این درس (کاهش خشکی ذاتی آن) از چاشنی</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">کردن بعضی مفاهیم توحیدی مرتبط و زبانی نیمه</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">رسمی استفاده شده است. همچنین علاوه</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">بر بیان نمونه&zwnj;های بسیار در هر موضوع، نزدیک به سیصد مسیله حل</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">شده دارد که اغلب از مسایل کتاب</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">های درسی متداول این درس در دانشگاه</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">ها یا سوالات امتحانی کنکور کارشناسی ارشد انتخاب</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\"> <span lang=\"FA\">شده </span></span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">است تا یابنده را با انواع گوناگون مسایل، روش</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">ها و راهکارهای حل آنها آشنا سازد؛ بدین ترتیب برای فهم آسان مطالب این درس و کمک به فراگیرانی که می</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">خواهند در آزمون</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">های آن در دانشگاه، نیز آزمون</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;</span><span lang=\"FA\" style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\">های کنکور کارشناسی ارشد موفقیت چشمگیر داشته</span><span dir=\"LTR\" style=\"font-size: 14.0pt; line-height: 120%; mso-bidi-font-family: 'B Lotus';\">&zwnj;&zwnj;</span><span style=\"font-size: 14.0pt; line-height: 120%; font-family: 'B Lotus';\"> <span lang=\"FA\">باشند بسیار مفید است.</span></span>",""],"pages_count":492,"keywords":null,"token":"a13e9855251d8d27","created_at":"2023-04-08 10:42:34","updated_at":"2023-04-09 09:51:15","publisher_id":212,"deleted_at":null,"published_at":"2023-04-09 09:51:15","available_for_web":1,"publisher_title":"دانشگاه شاهد","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":-1,"cache":1,"authors":[{"id":1931149,"title":"دکتر محمد علی نصر آزادانی","meta_title":"دکتر محمد علی نصر آزادانی","meta_description":"دکتر محمد علی نصر آزادانی - 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":"محمد علی نصر آزادانی","token":"b40cd61501b1cc18","created_at":"2023-04-08 10:46:31","updated_at":"2023-04-08 10:46:31","national_code":null,"role":"writer"}],"writer_authors":[{"id":1931149,"title":"دکتر محمد علی نصر آزادانی","meta_title":"دکتر محمد علی نصر آزادانی","meta_description":"دکتر محمد علی نصر آزادانی - 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":"محمد علی نصر آزادانی","token":"b40cd61501b1cc18","created_at":"2023-04-08 10:46:31","updated_at":"2023-04-08 10:46:31","national_code":null,"role":"writer"}],"translator_authors":[],"views":0,"e_book":{"id":788265,"file":"643105d26ffba8.45691535.pdf","book_id":3804317,"toc":null,"created_at":"2023-04-08 10:42:34","updated_at":"2023-04-09 09:51:15","process_started_at":"2023-04-08 10:42:35","process_done_at":"2023-04-08 10:42:42","process_failed_at":null,"pages_count":492,"version":"ocr.1.2.2","dir":"rtl","password":"942de4fe97edc00a5d327620b57ab4c796dff2d89154cfb86e682cbdf116e2a60c376e768d4bf1542a1f57966c4d2906b6dfb09de3672da89b6302af8c0f555d","encrypted_data":null,"state":"converting","pages_count_fa":"۴۹۲"},"publisher":{"id":212,"title":"دانشگاه شاهد","description":null,"token":"9735bc9574f4e09c","slug":"shahed"},"study_subjects":[],"titleLink":"%D9%85%D8%A8%D8%A7%D9%86%DB%8C-%D9%85%D8%A7%D8%AA%D8%B1%DB%8C%D8%B3-%D9%87%D8%A7-%D9%88-%D8%AC%D8%A8%D8%B1-%D8%AE%D8%B7%DB%8C","ebook_price_en":55000,"urlify":"%D9%85%D8%A8%D8%A7%D9%86%DB%8C-%D9%85%D8%A7%D8%AA%D8%B1%DB%8C%D8%B3-%D9%87%D8%A7-%D9%88-%D8%AC%D8%A8%D8%B1-%D8%AE%D8%B7%DB%8C","pages_count_fa":"۴۹۲","authorTitle":"دکتر محمد علی نصر آزادانی","tocStr":"","url":"/preview/a13e9855251d8d27/%D9%85%D8%A8%D8%A7%D9%86%DB%8C-%D9%85%D8%A7%D8%AA%D8%B1%DB%8C%D8%B3-%D9%87%D8%A7-%D9%88-%D8%AC%D8%A8%D8%B1-%D8%AE%D8%B7%DB%8C"}

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