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الرياضيات في الاقتصاد والتجارة والعلوم الإدارية

الرياضيات في الاقتصاد والتجارة والعلوم الإدارية

  • سنة النشر: 01 Jan 1970.
  • عدد مرات التحميل: 502882 مرّة / مرات.
  • تم نشره في: الإثنين , 14 ديسمبر 2015م.

وصف الكتاب:

من المعلوم أن للرياضيات دوراً متميزاً من الناحية النظرية ولها تطبيقات كثيرة في مجالات مختلفة ولا سيما في المجالات الإدارية والمالية والاقتصادية. عرضت فصول هذا الكتاب بلغة عربية وانجليزية سهلة وبسيطة، وكان أسلوب عرضه ميسراً وذلك من أجل مساعدة الطالب على الفهم والاستيعاب لمادته التي تضمنت مواضيع متنوعة يستفاد منها الطالب أو الباحث في مجال الرياضيات العامة وتطبيقاتها في كل من الإحصاء، الاقتصاد الرياضي، القياس الاقتصادي Econometrics، الإدارة العامة وإدارة الأعمال، المالية والمصرفية، الاقتصاد، الرياضيات المالية، بحوث العمليات وخاصة البرمجة الخطية وغيرها من العلوم الأخرى. لأن تناول مواضيع متنوعة شملت الأعداد وأنواعها والنهايات والاقتران وأنواعه، التفاضل والتكامل وتطبيقاتها، حل المعادلات الخطية ونظام المعالات الخطية، المتباينات والبرمجة الخطية، المتتاليات وتطبيقاتها الاقتصادية. في فصول هذا الكتاب، اعتمدت على إعطاء المزيد من الأمثلة المتنوعة والتطبيقات المختلفة لكي يكتسب الطالب أو الباحث الفهم ومهارة الحل للمسائل والتمارين لكل فصل من فصول الكتاب. نافش الكتاب عشرة فصول، حيث تناول الفصل الأول الأعداد وأنواعها، بينما تناول الفصل الثاني نظرية المجموعات، أما الفصل الثالث فقد تم عرض الاحتمال وبعض التوزيعات الاحتمالية، بينما تم عرض بعض المفاهيم الرياضية والإحصائية في الفصل الرابع. أما الفصل الخامس فقد تناول الاقترانات (الدوال)ن أما الفصل السادس فقد تم عرض نظام المعادلة (الدوال) الخطية، بينما الفصل السابع فقد تضمن النهايات والتفاضل ، أما الفصل الثامن فقد تم عرض التكامل وتطبيقاته، بينما تم عرض المتباينات والبرمجة الخطية في الفصل التاسع وأخيراً في الفصل العاشر فقد تم عرض المتتاليات (المتواليات) والفائدة البسيطة والفائدة المركبة وتطبيقاتها.

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78 سؤالا مهما على كل قيادي أن يطرحها ويجيب عنها
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  • تدمك:
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  • الناشر: دار العلم للملايين
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  • تدمك:
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القائمة البريدية

اشترك الان في النشرة الاٍخبارية و ترقب استقبال افضل عروضنا علي بريدك الاٍلكتروني

روابط سريعه
قائمة الكتب

جميع الحقوق محفوظة © 2020

MessagesTimelineExceptionsViews24RouteQueries49Models184MailsGateSessionRequest
7.4.33PHP Version317msRequest Duration6MBMemory UsageGET b-{book}Route
    • Booting (95.51ms)
    • Application (220ms)
    • 1 x Application (69.49%)
      220.15ms
      1 x Booting (30.15%)
      95.51ms
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      • guest.home.book (resources/views/guest/home/book.blade.php)2blade
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      • guest.home.book (resources/views/guest/home/book.blade.php)2blade
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      • guest.home.book (resources/views/guest/home/book.blade.php)2blade
        Params
        0
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      • guest.home.book (resources/views/guest/home/book.blade.php)2blade
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      uri
      GET b-{book}
      middleware
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      uses
      App\Http\Controllers\Guest\Books\DetailsController@__invoke
      controller
      App\Http\Controllers\Guest\Books\DetailsController
      namespace
      App\Http\Controllers\Guest
      prefix
      where
      as
      books.details
      49 statements were executed, 11 of which were duplicated, 38 unique26.27ms
      bookmart_bookmart
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        • 16. /vendor/laravel/framework/src/Illuminate/Routing/ImplicitRouteBinding.php:38
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:788
        • 18. middleware::bindings:39
        • 19. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:171
        • 20. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:77
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        • 13. /vendor/laravel/framework/src/Illuminate/Support/Traits/ForwardsCalls.php:23
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        • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:219
        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:176
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        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:681
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.books.details:15
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        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 19. /app/Models/BaseModel.php:17
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        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.books.details:23
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        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
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        • 18. /app/Models/BaseModel.php:17
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        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        310μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:2
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        290μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:18
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        310μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:24
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        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        320μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:28
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:2
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:18
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        430μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:24
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        420μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:28
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        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:2
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:18
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:24
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        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        1.33ms/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
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        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:2
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 19. /app/Models/BaseModel.php:17
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        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        330μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:24
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        310μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:28
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        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:2
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:18
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        310μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:24
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        310μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:28
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:2
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 19. /app/Models/BaseModel.php:17
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        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        320μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:24
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        280μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:28
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        300μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 19. /app/Models/BaseModel.php:17
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        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 19. /app/Models/BaseModel.php:17
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        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        320μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
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        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        290μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:28
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        300μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:2
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:18
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
      • select `categories`.*, `book_category`.`book_id` as `pivot_book_id`, `book_category`.`category_id` as `pivot_category_id` from `categories` inner join `book_category` on `categories`.`id` = `book_category`.`category_id` where `book_category`.`book_id` = 48
        330μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:24
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        310μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:28
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        310μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:2
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        270μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:18
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
      • select `categories`.*, `book_category`.`book_id` as `pivot_book_id`, `book_category`.`category_id` as `pivot_category_id` from `categories` inner join `book_category` on `categories`.`id` = `book_category`.`category_id` where `book_category`.`book_id` = 1831
        320μs/app/Models/BaseModel.php:17bookmart_bookmart
        Metadata
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:24
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        300μs/app/Models/BaseModel.php:17bookmart_bookmart
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        Backtrace
        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:28
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        310μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:2
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        300μs/app/Models/BaseModel.php:17bookmart_bookmart
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        • 19. /app/Models/BaseModel.php:17
        • 21. view::guest.home.book:18
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 24. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
      • select `categories`.*, `book_category`.`book_id` as `pivot_book_id`, `book_category`.`category_id` as `pivot_category_id` from `categories` inner join `book_category` on `categories`.`id` = `book_category`.`category_id` where `book_category`.`book_id` = 2982
        340μs/app/Models/BaseModel.php:17bookmart_bookmart
        Metadata
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        Backtrace
        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:24
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        380μs/app/Models/BaseModel.php:17bookmart_bookmart
        Metadata
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        • 0. 2982
        Backtrace
        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:28
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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        Metadata
        Backtrace
        • 14. /app/Http/View/Composers/LayoutComposer.php:18
        • 16. /vendor/laravel/framework/src/Illuminate/Container/Container.php:843
        • 17. /vendor/laravel/framework/src/Illuminate/Container/Container.php:681
        • 18. /vendor/laravel/framework/src/Illuminate/Foundation/Application.php:785
        • 19. /vendor/laravel/framework/src/Illuminate/Container/Container.php:629
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        Metadata
        Bindings
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        Backtrace
        • 16. /vendor/laravel/framework/src/Illuminate/Support/Traits/ForwardsCalls.php:23
        • 19. /app/Content/Models/PagesRepository.php:48
        • 20. /app/Content/ContentProvider.php:45
        • 21. view::guest.layout.footer:1
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
      App\Content\Models\DataBaseModel
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      App\Models\Product
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      App\Models\Category
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      App\Models\Publisher
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      App\Models\Author
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      App\Models\Book
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          PHPDEBUGBAR_STACK_DATA
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          request_request
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