{"id":67621,"date":"2025-05-15T11:24:56","date_gmt":"2025-05-15T11:24:56","guid":{"rendered":"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%db%8c%da%a9-%d9%85%d8%a8%d8%aa%d8%af%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d8%b1%db%8c%d8%a7%d8%b6%d8%a7%d8%aa-%da%af%d8%b3%d8%b3%d8%aa\/"},"modified":"2025-05-15T07:55:46","modified_gmt":"2025-05-15T07:55:46","slug":"%da%a9%d8%aa%d8%a7%d8%a8-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%db%8c%da%a9-%d9%85%d8%a8%d8%aa%d8%af%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d8%b1%db%8c%d8%a7%d8%b6%d8%a7%d8%aa-%da%af%d8%b3%d8%b3%d8%aa","status":"publish","type":"product","link":"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%db%8c%da%a9-%d9%85%d8%a8%d8%aa%d8%af%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d8%b1%db%8c%d8%a7%d8%b6%d8%a7%d8%aa-%da%af%d8%b3%d8%b3%d8%aa\/","title":{"rendered":"\u06a9\u062a\u0627\u0628 \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u06cc\u06a9 \u0645\u0628\u062a\u062f\u06cc \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u0627\u062a \u06af\u0633\u0633\u062a\u0647"},"content":{"rendered":"
\n \"\u062f\u0627\u0646\u0644\u0648\u062f<\/p><\/div>\n\n\n
\n

\u0639\u0646\u0648\u0627\u0646 \u06a9\u062a\u0627\u0628 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc:<\/h3>\n<\/td>\n

\n

\n A Beginner\u2019s Guide to Discrete Mathematics <\/h3>\n<\/td>\n<\/tr>\n<\/table>\n\n\n
\u0633\u0627\u0644 \u0627\u0646\u062a\u0634\u0627\u0631: 2011\u00a0\u00a0|\u00a0\u00a0440 \u0635\u0641\u062d\u0647\u00a0\u00a0|\u00a0\u00a0\u062d\u062c\u0645 \u0641\u0627\u06cc\u0644: 4 \u0645\u06af\u0627\u0628\u0627\u06cc\u062a\u00a0\u00a0|\u00a0\u00a0\u0632\u0628\u0627\u0646: \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/td>\n<\/tr>\n<\/table>\n\n\n\n\n\n<\/tr>\n<\/table>\n

\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u06a9\u062a\u0627\u0628<\/h2>\n
\nWallis’s book on discrete mathematics is a resource for an introductory course in a subject fundamental to both mathematics and computer science, a course that is expected not only to cover certain specific topics but also to introduce students to important modes of thought specific to each discipline . . . Lower-division undergraduates through graduate students. \u2015Choice reviews (Review of the First Edition)
\nVery appropriately entitled as a ‘beginner’s guide’, this textbook presents itself as the first exposure to discrete mathematics and rigorous proof for the mathematics or computer science student. \u2015Zentralblatt Math (Review of the First Edition)
\nThis second edition of A Beginner\u2019s Guide to Discrete Mathematics presents a detailed guide to discrete mathematics and its relationship to other mathematical subjects including set theory, probability, cryptography, graph theory, and number theory. This textbook has a distinctly applied orientation and explores a variety of applications. Key Features of the second edition: * Includes a new chapter on the theory of voting as well as numerous new examples and exercises throughout the book * Introduces functions, vectors, matrices, number systems, scientific notations, and the representation of numbers in computers * Provides examples which then lead into easy practice problems throughout the text and full exercise at the end of each chapter * Full solutions for practice problems are provided at the end of the book
\nThis text is intended for undergraduates in mathematics and computer science, however, featured special topics and applications may also interest graduate students.\n \t<\/div>\n

\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u06a9\u062a\u0627\u0628 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc (\u062a\u0631\u062c\u0645\u0647 \u0645\u0627\u0634\u06cc\u0646\u06cc)<\/h2>\n

\u06a9\u062a\u0627\u0628 \u0648\u0627\u0644\u06cc\u0633 \u062f\u0631 \u0645\u0648\u0631\u062f \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u06af\u0633\u0633\u062a\u0647 \u060c \u0645\u0646\u0628\u0639\u06cc \u0628\u0631\u0627\u06cc \u06cc\u06a9 \u062f\u0648\u0631\u0647 \u0645\u0642\u062f\u0645\u0627\u062a\u06cc \u062f\u0631 \u06cc\u06a9 \u0645\u0648\u0636\u0648\u0639 \u0627\u0633\u0627\u0633\u06cc \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u0648 \u0639\u0644\u0648\u0645 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631 \u0627\u0633\u062a \u060c \u062f\u0648\u0631\u0647 \u0627\u06cc \u06a9\u0647 \u0627\u0646\u062a\u0638\u0627\u0631 \u0645\u06cc \u0631\u0648\u062f \u0646\u0647 \u062a\u0646\u0647\u0627 \u0645\u0648\u0636\u0648\u0639\u0627\u062a \u062e\u0627\u0635 \u062e\u0627\u0635 \u0631\u0627 \u067e\u0648\u0634\u0634 \u062f\u0647\u062f \u0628\u0644\u06a9\u0647 \u062f\u0627\u0646\u0634 \u0622\u0645\u0648\u0632\u0627\u0646 \u0631\u0627 \u0628\u0627 \u0634\u06cc\u0648\u0647 \u0647\u0627\u06cc \u0645\u0647\u0645 \u062a\u0641\u06a9\u0631 \u062e\u0627\u0635 \u0628\u0631\u0627\u06cc \u0647\u0631 \u0631\u0634\u062a\u0647 \u0645\u0639\u0631\u0641\u06cc \u06a9\u0646\u062f.\u0628\u0634\u0631\u0628\u0634\u0631\u062f\u0627\u0646\u0634 \u0622\u0645\u0648\u062e\u062a\u06af\u0627\u0646 \u0633\u0637\u062d \u067e\u0627\u06cc\u06cc\u0646 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u062f\u0627\u0646\u0634\u062c\u0648\u06cc\u0627\u0646 \u0641\u0627\u0631\u063a \u0627\u0644\u062a\u062d\u0635\u06cc\u0644.- \u0628\u0631\u0631\u0633\u06cc \u0647\u0627\u06cc \u0627\u0646\u062a\u062e\u0627\u0628 (\u0628\u0631\u0631\u0633\u06cc \u0646\u0633\u062e\u0647 \u0627\u0648\u0644)
\n\u0627\u06cc\u0646 \u06a9\u062a\u0627\u0628 \u062f\u0631\u0633\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0645\u0646\u0627\u0633\u0628 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 “\u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u0645\u0628\u062a\u062f\u06cc” \u060c \u062e\u0648\u062f \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0627\u0648\u0644\u06cc\u0646 \u0642\u0631\u0627\u0631 \u06af\u0631\u0641\u062a\u0646 \u062f\u0631 \u0645\u0639\u0631\u0636 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u06af\u0633\u0633\u062a\u0647 \u0648 \u0627\u062b\u0628\u0627\u062a \u062f\u0642\u06cc\u0642 \u0628\u0631\u0627\u06cc \u062f\u0627\u0646\u0634\u062c\u0648\u06cc \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u06cc\u0627 \u0639\u0644\u0648\u0645 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631 \u0645\u0639\u0631\u0641\u06cc \u0645\u06cc \u06a9\u0646\u062f.- ZentralBlatt Math (\u0628\u0631\u0631\u0633\u06cc \u0646\u0633\u062e\u0647 \u0627\u0648\u0644)
\n\u0627\u06cc\u0646 \u0646\u0633\u062e\u0647 \u062f\u0648\u0645 \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u06cc\u06a9 \u0645\u0628\u062a\u062f\u06cc \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u06af\u0633\u0633\u062a\u0647 \u060c \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u0645\u0641\u0635\u0644\u06cc \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u06af\u0633\u0633\u062a\u0647 \u0648 \u0627\u0631\u062a\u0628\u0627\u0637 \u0622\u0646 \u0628\u0627 \u0633\u0627\u06cc\u0631 \u0645\u0648\u0636\u0648\u0639\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0627\u0632 \u062c\u0645\u0644\u0647 \u062a\u0626\u0648\u0631\u06cc \u0645\u062c\u0645\u0648\u0639\u0647 \u060c \u0627\u062d\u062a\u0645\u0627\u0644 \u060c \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u060c \u062a\u0626\u0648\u0631\u06cc \u0646\u0645\u0648\u062f\u0627\u0631 \u0648 \u0646\u0638\u0631\u06cc\u0647 \u062a\u0639\u062f\u0627\u062f \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u062f.\u0627\u06cc\u0646 \u06a9\u062a\u0627\u0628 \u062f\u0631\u0633\u06cc \u062f\u0627\u0631\u0627\u06cc \u06cc\u06a9 \u062c\u0647\u062a \u06af\u06cc\u0631\u06cc \u06a9\u0627\u0645\u0644\u0627\u064b \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u0627\u0633\u062a \u0648 \u0627\u0646\u0648\u0627\u0639 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc \u06a9\u0646\u062f.\u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f\u06cc \u0646\u0633\u062e\u0647 \u062f\u0648\u0645: * \u0634\u0627\u0645\u0644 \u06cc\u06a9 \u0641\u0635\u0644 \u062c\u062f\u06cc\u062f \u062f\u0631 \u0645\u0648\u0631\u062f \u062a\u0626\u0648\u0631\u06cc \u0631\u0623\u06cc \u06af\u06cc\u0631\u06cc \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0646\u0645\u0648\u0646\u0647 \u0647\u0627 \u0648 \u062a\u0645\u0631\u06cc\u0646\u0627\u062a \u062c\u062f\u06cc\u062f \u0628\u06cc\u0634\u0645\u0627\u0631 \u062f\u0631 \u0637\u0648\u0644 \u06a9\u062a\u0627\u0628 * \u062a\u0648\u0627\u0628\u0639 \u060c \u0628\u0631\u062f\u0627\u0631\u0647\u0627 \u060c \u0645\u0627\u062a\u0631\u06cc\u0633 \u0647\u0627 \u060c \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u0634\u0645\u0627\u0631\u0647 \u060c \u0646\u0645\u0627\u062f\u0647\u0627\u06cc \u0639\u0644\u0645\u06cc \u0648 \u0628\u0627\u0632\u0646\u0645\u0627\u06cc\u06cc \u0627\u0639\u062f\u0627\u062f \u062f\u0631 \u0631\u0627\u06cc\u0627\u0646\u0647 \u0647\u0627 *\u0646\u0645\u0648\u0646\u0647 \u0647\u0627\u06cc\u06cc \u0631\u0627 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 \u0633\u067e\u0633 \u062f\u0631 \u067e\u0627\u06cc\u0627\u0646 \u0647\u0631 \u0641\u0635\u0644 \u0628\u0647 \u0645\u0634\u06a9\u0644\u0627\u062a \u0622\u0633\u0627\u0646 \u062a\u0645\u0631\u06cc\u0646 \u0645\u0646\u062c\u0631 \u0645\u06cc \u0634\u0648\u062f \u0648 \u0648\u0631\u0632\u0634 \u06a9\u0627\u0645\u0644 \u062f\u0631 \u067e\u0627\u06cc\u0627\u0646 \u0647\u0631 \u0641\u0635\u0644 * \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u06a9\u0627\u0645\u0644 \u0628\u0631\u0627\u06cc \u0645\u0634\u06a9\u0644\u0627\u062a \u062a\u0645\u0631\u06cc\u0646 \u062f\u0631 \u067e\u0627\u06cc\u0627\u0646 \u06a9\u062a\u0627\u0628 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u0634\u0648\u062f
\n\u0627\u06cc\u0646 \u0645\u062a\u0646 \u0628\u0631\u0627\u06cc \u062f\u0627\u0646\u0634\u062c\u0648\u06cc\u0627\u0646 \u062f\u0631 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u0648 \u0639\u0644\u0648\u0645 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a \u060c \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644 \u060c \u0645\u0648\u0636\u0648\u0639\u0627\u062a \u0648 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u0648\u06cc\u0698\u0647 \u0646\u06cc\u0632 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u062f\u0627\u0646\u0634\u062c\u0648\u06cc\u0627\u0646 \u0641\u0627\u0631\u063a \u0627\u0644\u062a\u062d\u0635\u06cc\u0644 \u0631\u0627 \u0646\u06cc\u0632 \u0645\u0648\u0631\u062f \u0639\u0644\u0627\u0642\u0647 \u062e\u0648\u062f \u0642\u0631\u0627\u0631 \u062f\u0647\u062f.
\n
\r\n

\u0646\u0648\u06cc\u0633\u0646\u062f\u0647<\/td>\nW.D. Wallis<\/td>\n<\/tr>\n
\u0646\u0627\u0634\u0631<\/td>\nBirkhauser Boston<\/td>\n<\/tr>\n
ISBN10:<\/td>\n0817682856<\/td>\n<\/tr>\n
ISBN13:<\/td>\n9780817682859<\/td>\n<\/tr>\n
\r\n\t\r\n\t\t\r\n\t\t\r\n\t\t\r\n\t\t\r\n\t\t\r\n\t\t
\r\n\t\t\t\r\n\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0627\u06cc\u0646 \u0645\u062d\u0635\u0648\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u062f\u0627\u0646\u0644\u0648\u062f\u06cc \u0627\u0633\u062a \u0648 \u0646\u0647 \u06a9\u062a\u0627\u0628 \u06a9\u0627\u063a\u0630\u06cc.\r\n\r\n\t\t<\/td>\r\n\t<\/tr>\r\n\r\n\t\t
\r\n\t\t\t\r\n\u0628\u0647 \u0647\u0646\u06af\u0627\u0645 \u062e\u0631\u06cc\u062f \u0628\u0647 \u0632\u0628\u0627\u0646 \u062f\u0631\u062c \u0634\u062f\u0647 \u0628\u0631\u0627\u06cc \u06a9\u062a\u0627\u0628 \u062d\u062a\u0645\u0627 \u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f. \u0628\u0647 \u0635\u0648\u0631\u062a \u0645\u0639\u0645\u0648\u0644 \u062f\u0631 \u0627\u06a9\u062b\u0631 \u0645\u0648\u0627\u0631\u062f \u0632\u0628\u0627\u0646 \u06a9\u062a\u0627\u0628 \u0641\u0627\u0631\u0633\u06cc \u0646\u06cc\u0633\u062a.\r\n\r\n\t\t<\/td>\r\n\t<\/tr>\t\r\n\r\n\t\t\t
\r\n\t\t\t\r\n\u062f\u0631 \u0635\u0648\u0631\u062a \u0647\u0631\u06af\u0648\u0646\u0647 \u0645\u0634\u06a9\u0644 \u062f\u0631 \u062f\u0631\u06cc\u0627\u0641\u062a \u06a9\u062a\u0627\u0628 \u0628\u0647 \u0634\u0645\u0627\u0631\u0647 09395106248 \u067e\u06cc\u0627\u0645\u06a9 \u062f\u0647\u06cc\u062f. \r\n\t\t<\/td>\r\n\t<\/tr>\t\r\n\t\r\n\t\t\t
\r\n\t\t\t\r\n\u062f\u0631\u062c \u0634\u0645\u0627\u0631\u0647 \u0645\u0648\u0628\u0627\u06cc\u0644 \u0628\u0631\u0627\u06cc \u0633\u0641\u0627\u0631\u0634 \u0636\u0631\u0648\u0631\u06cc \u0646\u06cc\u0633\u062a \u0648\u0644\u06cc \u062a\u0631\u062c\u06cc\u062d \u0622\u0646 \u0627\u0633\u062a \u062f\u0631\u062c \u06af\u0631\u062f\u062f \u062a\u0627 \u062f\u0631 \u0635\u0648\u0631\u062a \u0628\u0631\u0648\u0632 \u0645\u0634\u06a9\u0644 \u0627\u0648\u0644\u06cc\u0646 \u0631\u0627\u0647 \u0627\u0631\u062a\u0628\u0627\u0637\u06cc \u0645\u0627 \u0628\u0627 \u0634\u0645\u0627 \u0628\u0627\u0634\u062f.\r\n\t\t<\/td>\r\n\t<\/tr>\r\n\t\r\n\t
\r\n\t\t\t\r\n\t\t\t\u0686\u0646\u0627\u0646\u0686\u0647 \u062f\u0631 \u062f\u0631\u06cc\u0627\u0641\u062a \u0645\u062d\u0635\u0648\u0644 \u0628\u0647 \u0647\u0631 \u062f\u0644\u06cc\u0644\u06cc \u0628\u0627 \u0645\u0634\u06a9\u0644 \u0631\u0648\u0628\u0631\u0648 \u0634\u062f\u06cc\u062f \u0648 \u0645\u0637\u0645\u0626\u0646 \u0627\u0632 \u067e\u0631\u062f\u0627\u062e\u062a \u0645\u0648\u0641\u0642 \u0648\u062c\u0647 \u0647\u0633\u062a\u06cc\u062f \u0628\u0647 \u0634\u0645\u0627\u0631\u0647 \u062a\u0645\u0627\u0633 \u0632\u06cc\u0631 \u0646\u0627\u0645\u060c \u0646\u0627\u0645 \u062e\u0627\u0646\u0648\u0627\u062f\u06af\u06cc \u0648 \u0646\u0627\u0645 \u0645\u062d\u0635\u0648\u0644 \u0631\u0627 \u067e\u06cc\u0627\u0645\u06a9 \u0628\u0632\u0646\u06cc\u062f \u062a\u0627 \u0644\u06cc\u0646\u06a9 \u0645\u062d\u0635\u0648\u0644 \u0633\u0631\u06cc\u0639\u0627 \u0628\u0631\u0627\u06cc \u0634\u0645\u0627 \u0627\u0631\u0633\u0627\u0644 \u06af\u0631\u062f\u062f.\r\n\t\t\t

\r\n\t\t\t\u0634\u0645\u0627\u0631\u0647 \u062a\u0645\u0627\u0633: 09395106248 \r\n\r\n\t\t<\/td>\r\n\t<\/tr>\r\n\t\r\n<\/table>\r\n
\r\n\r\n<\/p>\n","protected":false},"excerpt":{"rendered":"

\u0639\u0646\u0648\u0627\u0646 \u06a9\u062a\u0627\u0628 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc: A Beginner\u2019s Guide to Discrete Mathematics \u0633\u0627\u0644 \u0627\u0646\u062a\u0634\u0627\u0631: 2011\u00a0\u00a0|\u00a0\u00a0440 \u0635\u0641\u062d\u0647\u00a0\u00a0|\u00a0\u00a0\u062d\u062c\u0645 \u0641\u0627\u06cc\u0644: 4 \u0645\u06af\u0627\u0628\u0627\u06cc\u062a\u00a0\u00a0|\u00a0\u00a0\u0632\u0628\u0627\u0646: \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0646\u0648\u06cc\u0633\u0646\u062f\u0647 W.D. […]<\/p>\n","protected":false},"featured_media":67622,"comment_status":"open","ping_status":"closed","template":"","meta":{"pmpro_default_level":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}}},"product_cat":[685],"product_tag":[],"class_list":{"0":"post-67621","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-685","7":"pmpro-has-access","8":"desktop-align-left","9":"tablet-align-left","10":"mobile-align-left","12":"first","13":"instock","14":"shipping-taxable","15":"purchasable","16":"product-type-variable"},"yoast_head":"\n\u06a9\u062a\u0627\u0628 \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u06cc\u06a9 \u0645\u0628\u062a\u062f\u06cc \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u0627\u062a \u06af\u0633\u0633\u062a\u0647 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/express24.ir\/d\/product\/\u06a9\u062a\u0627\u0628-\u0631\u0627\u0647\u0646\u0645\u0627\u06cc-\u06cc\u06a9-\u0645\u0628\u062a\u062f\u06cc-\u0628\u0631\u0627\u06cc-\u0631\u06cc\u0627\u0636\u0627\u062a-\u06af\u0633\u0633\u062a\/\" \/>\n<meta property=\"og:locale\" content=\"fa_IR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u06a9\u062a\u0627\u0628 \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u06cc\u06a9 \u0645\u0628\u062a\u062f\u06cc \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u0627\u062a \u06af\u0633\u0633\u062a\u0647 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\" \/>\n<meta property=\"og:description\" content=\"\u0639\u0646\u0648\u0627\u0646 \u06a9\u062a\u0627\u0628 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc: A Beginner\u2019s Guide to Discrete Mathematics \u0633\u0627\u0644 \u0627\u0646\u062a\u0634\u0627\u0631: 2011\u00a0\u00a0|\u00a0\u00a0440 \u0635\u0641\u062d\u0647\u00a0\u00a0|\u00a0\u00a0\u062d\u062c\u0645 \u0641\u0627\u06cc\u0644: 4 \u0645\u06af\u0627\u0628\u0627\u06cc\u062a\u00a0\u00a0|\u00a0\u00a0\u0632\u0628\u0627\u0646: \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0646\u0648\u06cc\u0633\u0646\u062f\u0647 W.D. […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/express24.ir\/d\/product\/\u06a9\u062a\u0627\u0628-\u0631\u0627\u0647\u0646\u0645\u0627\u06cc-\u06cc\u06a9-\u0645\u0628\u062a\u062f\u06cc-\u0628\u0631\u0627\u06cc-\u0631\u06cc\u0627\u0636\u0627\u062a-\u06af\u0633\u0633\u062a\/\" \/>\n<meta property=\"og:site_name\" content=\"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\" \/>\n<meta property=\"article:modified_time\" content=\"2025-05-15T07:55:46+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/express24.ir\/d\/wp-content\/uploads\/2025\/05\/9780817682859.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"250\" \/>\n\t<meta property=\"og:image:height\" content=\"375\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0632\u0645\u0627\u0646 \u062a\u0642\u0631\u06cc\u0628\u06cc \u0628\u0631\u0627\u06cc \u062e\u0648\u0627\u0646\u062f\u0646\" \/>\n\t<meta name=\"twitter:data1\" content=\"4 \u062f\u0642\u06cc\u0642\u0647\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%db%8c%da%a9-%d9%85%d8%a8%d8%aa%d8%af%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d8%b1%db%8c%d8%a7%d8%b6%d8%a7%d8%aa-%da%af%d8%b3%d8%b3%d8%aa\/\",\"url\":\"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%db%8c%da%a9-%d9%85%d8%a8%d8%aa%d8%af%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d8%b1%db%8c%d8%a7%d8%b6%d8%a7%d8%aa-%da%af%d8%b3%d8%b3%d8%aa\/\",\"name\":\"\u06a9\u062a\u0627\u0628 \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u06cc\u06a9 \u0645\u0628\u062a\u062f\u06cc \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u0627\u062a \u06af\u0633\u0633\u062a\u0647 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\",\"isPartOf\":{\"@id\":\"https:\/\/express24.ir\/d\/#website\"},\"datePublished\":\"2025-05-15T11:24:56+00:00\",\"dateModified\":\"2025-05-15T07:55:46+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%db%8c%da%a9-%d9%85%d8%a8%d8%aa%d8%af%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d8%b1%db%8c%d8%a7%d8%b6%d8%a7%d8%aa-%da%af%d8%b3%d8%b3%d8%aa\/#breadcrumb\"},\"inLanguage\":\"fa-IR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%db%8c%da%a9-%d9%85%d8%a8%d8%aa%d8%af%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d8%b1%db%8c%d8%a7%d8%b6%d8%a7%d8%aa-%da%af%d8%b3%d8%b3%d8%aa\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%db%8c%da%a9-%d9%85%d8%a8%d8%aa%d8%af%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d8%b1%db%8c%d8%a7%d8%b6%d8%a7%d8%aa-%da%af%d8%b3%d8%b3%d8%aa\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u062e\u0627\u0646\u0647\",\"item\":\"https:\/\/express24.ir\/d\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0641\u0631\u0648\u0634\u06af\u0627\u0647\",\"item\":\"https:\/\/express24.ir\/d\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"\u06a9\u062a\u0627\u0628 \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u06cc\u06a9 \u0645\u0628\u062a\u062f\u06cc \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u0627\u062a \u06af\u0633\u0633\u062a\u0647\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/express24.ir\/d\/#website\",\"url\":\"https:\/\/express24.ir\/d\/\",\"name\":\"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/express24.ir\/d\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"fa-IR\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u06a9\u062a\u0627\u0628 \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u06cc\u06a9 \u0645\u0628\u062a\u062f\u06cc \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u0627\u062a \u06af\u0633\u0633\u062a\u0647 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/express24.ir\/d\/product\/\u06a9\u062a\u0627\u0628-\u0631\u0627\u0647\u0646\u0645\u0627\u06cc-\u06cc\u06a9-\u0645\u0628\u062a\u062f\u06cc-\u0628\u0631\u0627\u06cc-\u0631\u06cc\u0627\u0636\u0627\u062a-\u06af\u0633\u0633\u062a\/","og_locale":"fa_IR","og_type":"article","og_title":"\u06a9\u062a\u0627\u0628 \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u06cc\u06a9 \u0645\u0628\u062a\u062f\u06cc \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u0627\u062a \u06af\u0633\u0633\u062a\u0647 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","og_description":"\u0639\u0646\u0648\u0627\u0646 \u06a9\u062a\u0627\u0628 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc: A Beginner\u2019s Guide to Discrete Mathematics \u0633\u0627\u0644 \u0627\u0646\u062a\u0634\u0627\u0631: 2011\u00a0\u00a0|\u00a0\u00a0440 \u0635\u0641\u062d\u0647\u00a0\u00a0|\u00a0\u00a0\u062d\u062c\u0645 \u0641\u0627\u06cc\u0644: 4 \u0645\u06af\u0627\u0628\u0627\u06cc\u062a\u00a0\u00a0|\u00a0\u00a0\u0632\u0628\u0627\u0646: \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0646\u0648\u06cc\u0633\u0646\u062f\u0647 W.D. […]","og_url":"https:\/\/express24.ir\/d\/product\/\u06a9\u062a\u0627\u0628-\u0631\u0627\u0647\u0646\u0645\u0627\u06cc-\u06cc\u06a9-\u0645\u0628\u062a\u062f\u06cc-\u0628\u0631\u0627\u06cc-\u0631\u06cc\u0627\u0636\u0627\u062a-\u06af\u0633\u0633\u062a\/","og_site_name":"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","article_modified_time":"2025-05-15T07:55:46+00:00","og_image":[{"width":250,"height":375,"url":"https:\/\/express24.ir\/d\/wp-content\/uploads\/2025\/05\/9780817682859.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_misc":{"\u0632\u0645\u0627\u0646 \u062a\u0642\u0631\u06cc\u0628\u06cc \u0628\u0631\u0627\u06cc \u062e\u0648\u0627\u0646\u062f\u0646":"4 \u062f\u0642\u06cc\u0642\u0647"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%db%8c%da%a9-%d9%85%d8%a8%d8%aa%d8%af%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d8%b1%db%8c%d8%a7%d8%b6%d8%a7%d8%aa-%da%af%d8%b3%d8%b3%d8%aa\/","url":"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%db%8c%da%a9-%d9%85%d8%a8%d8%aa%d8%af%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d8%b1%db%8c%d8%a7%d8%b6%d8%a7%d8%aa-%da%af%d8%b3%d8%b3%d8%aa\/","name":"\u06a9\u062a\u0627\u0628 \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u06cc\u06a9 \u0645\u0628\u062a\u062f\u06cc \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u0627\u062a \u06af\u0633\u0633\u062a\u0647 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","isPartOf":{"@id":"https:\/\/express24.ir\/d\/#website"},"datePublished":"2025-05-15T11:24:56+00:00","dateModified":"2025-05-15T07:55:46+00:00","breadcrumb":{"@id":"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%db%8c%da%a9-%d9%85%d8%a8%d8%aa%d8%af%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d8%b1%db%8c%d8%a7%d8%b6%d8%a7%d8%aa-%da%af%d8%b3%d8%b3%d8%aa\/#breadcrumb"},"inLanguage":"fa-IR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%db%8c%da%a9-%d9%85%d8%a8%d8%aa%d8%af%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d8%b1%db%8c%d8%a7%d8%b6%d8%a7%d8%aa-%da%af%d8%b3%d8%b3%d8%aa\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%db%8c%da%a9-%d9%85%d8%a8%d8%aa%d8%af%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d8%b1%db%8c%d8%a7%d8%b6%d8%a7%d8%aa-%da%af%d8%b3%d8%b3%d8%aa\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u062e\u0627\u0646\u0647","item":"https:\/\/express24.ir\/d\/"},{"@type":"ListItem","position":2,"name":"\u0641\u0631\u0648\u0634\u06af\u0627\u0647","item":"https:\/\/express24.ir\/d\/"},{"@type":"ListItem","position":3,"name":"\u06a9\u062a\u0627\u0628 \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u06cc\u06a9 \u0645\u0628\u062a\u062f\u06cc \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u0627\u062a \u06af\u0633\u0633\u062a\u0647"}]},{"@type":"WebSite","@id":"https:\/\/express24.ir\/d\/#website","url":"https:\/\/express24.ir\/d\/","name":"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/express24.ir\/d\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"fa-IR"}]}},"_links":{"self":[{"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product\/67621","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/types\/product"}],"replies":[{"embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/comments?post=67621"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/media\/67622"}],"wp:attachment":[{"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/media?parent=67621"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product_cat?post=67621"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product_tag?post=67621"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}