{"id":204857,"date":"2025-09-24T08:06:13","date_gmt":"2025-09-24T08:06:13","guid":{"rendered":"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ac%d8%b3%d9%85-%d9%85%da%a9%d8%a7%d9%86%db%8c%da%a9-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/"},"modified":"2025-09-24T08:06:16","modified_gmt":"2025-09-24T08:06:16","slug":"%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ac%d8%b3%d9%85-%d9%85%da%a9%d8%a7%d9%86%db%8c%da%a9-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86","status":"publish","type":"product","link":"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ac%d8%b3%d9%85-%d9%85%da%a9%d8%a7%d9%86%db%8c%da%a9-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/","title":{"rendered":"\u06a9\u062a\u0627\u0628 \u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646"},"content":{"rendered":"
\"\u062f\u0627\u0646\u0644\u0648\u062f<\/p>\n<\/div>\n\n\n\n\n\n\n\n\n\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

\u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646<\/h3>\n<\/td>\n<\/tr>\n

\u0633\u0627\u0644 \u0627\u0646\u062a\u0634\u0627\u0631 \u06a9\u062a\u0627\u0628<\/td>\n2024<\/td>\n<\/tr>\n
\u0632\u0628\u0627\u0646<\/td>\n\u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/td>\n<\/tr>\n
\u0646\u0627\u0634\u0631<\/td>\nCRC Press<\/td>\n<\/tr>\n
\u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a<\/td>\n63<\/td>\n<\/tr>\n
ISBN10<\/td>\n1003437702<\/td>\n<\/tr>\n
ISBN13<\/td>\n9781003437703<\/td>\n<\/tr>\n
\u062d\u062c\u0645 \u0648 \u0641\u0631\u0645\u062a \u0641\u0627\u06cc\u0644<\/td>\nPDF | PDF, 5.73 MB<\/td>\n<\/tr>\n
\u0648\u06cc\u0631\u0627\u06cc\u0634<\/td>\n1<\/td>\n<\/tr>\n
\u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646<\/td>\nSteve Spicklemire<\/td>\n<\/tr>\n<\/table>\n

\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u06a9\u062a\u0627\u0628<\/h2>\n
Visualising Quantum Mechanics with PythonOverviewQuantum Mechanics can be an abstract and complex subject. Students often complain of confusion, struggle, and frustration as they try to master the topic. The goal of this book is to reduce the complexity and clarify the abstractions with concrete visual examples driven by simple python programs. It is assumed that the reader is concurrently taking a course in quantum mechanics, or self-studying quantum mechanics, but is looking for supplementary material to help with understanding and visualizing how quantum mechanics works.The focus of this book is writing python programs to visualize the underlying behavior of the mathematical theory. The background needed to understand quantum mechanics is differential equations, linear algebra and modern physics. We need a strong foundation in differential equations and linear algebra because the behavior of quantum systems is governed by equations that are written in terms of these concepts. Modern physics includes concepts such as special relativity and quantum phenomena like the photoelectric effect and energy quantization that the theory of quantum mechanics seeks to explain. This book is also not an introduction to the python programming language, or to numpy, or even to VPython. However its programming examples start simply and grow more complex as the chapters progress, so deep expertise in any of these is not a pre-requisite.Key features:- Provides an accessible and practical guide to the abstractions in quantum mechanics with concrete visual examples driven by simple python programs.- Contains few derivations, equations, and proofs.- For complete beginners of python programming, appendix B serves as a very brief introduction to the main concepts needed to understand the code in this book.Dr. Stephen Spicklemire is Associate Professor of Physics at the University of Indianapolis, USA.<\/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

\u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u0645\u06a9\u0627\u0646\u06cc\u06a9 PythonoverviewQuantum \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0645\u0648\u0636\u0648\u0639\u06cc \u0627\u0646\u062a\u0632\u0627\u0639\u06cc \u0648 \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0628\u0627\u0634\u062f.\u062f\u0627\u0646\u0634 \u0622\u0645\u0648\u0632\u0627\u0646 \u063a\u0627\u0644\u0628\u0627\u064b \u0627\u0632 \u0633\u0631\u062f\u0631\u06af\u0645\u06cc \u060c \u0645\u0628\u0627\u0631\u0632\u0647 \u0648 \u0646\u0627\u0627\u0645\u06cc\u062f\u06cc \u0634\u06a9\u0627\u06cc\u062a \u0645\u06cc \u06a9\u0646\u0646\u062f \u0632\u06cc\u0631\u0627 \u0633\u0639\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0648\u0636\u0648\u0639 \u062a\u0633\u0644\u0637 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f.\u0647\u062f\u0641 \u0627\u0632 \u0627\u06cc\u0646 \u06a9\u062a\u0627\u0628 \u06a9\u0627\u0647\u0634 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0648 \u0631\u0648\u0634\u0646 \u0634\u062f\u0646 \u0627\u0646\u062a\u0632\u0627\u0639 \u0628\u0627 \u0646\u0645\u0648\u0646\u0647 \u0647\u0627\u06cc \u0628\u0635\u0631\u06cc \u0628\u062a\u0648\u0646\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062a\u0648\u0633\u0637 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u0633\u0627\u062f\u0647 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0647\u062f\u0627\u06cc\u062a \u0645\u06cc \u0634\u0648\u062f.\u0641\u0631\u0636 \u0628\u0631 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u062e\u0648\u0627\u0646\u0646\u062f\u0647 \u0628\u0647 \u0637\u0648\u0631 \u0647\u0645\u0632\u0645\u0627\u0646 \u062f\u0648\u0631\u0647 \u0627\u06cc \u062f\u0631 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u06cc\u0627 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u062e\u0648\u062f\u0622\u0645\u0648\u0632 \u0631\u0627 \u0637\u06cc \u0645\u06cc \u06a9\u0646\u062f \u060c \u0627\u0645\u0627 \u0628\u0647 \u062f\u0646\u0628\u0627\u0644 \u0645\u0648\u0627\u062f \u062a\u06a9\u0645\u06cc\u0644\u06cc \u0628\u0631\u0627\u06cc \u06a9\u0645\u06a9 \u0628\u0647 \u062f\u0631\u06a9 \u0648 \u062a\u062c\u0633\u0645 \u0686\u06af\u0648\u0646\u06af\u06cc \u06a9\u0627\u0631 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0627\u0633\u062a. \u062a\u0645\u0631\u06a9\u0632 \u0627\u06cc\u0646 \u06a9\u062a\u0627\u0628 \u062f\u0631 \u062d\u0627\u0644 \u0646\u0648\u0634\u062a\u0646 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0631\u0627\u06cc \u062a\u062c\u0633\u0645 \u0631\u0641\u062a\u0627\u0631 \u0627\u0633\u0627\u0633\u06cc \u062a\u0626\u0648\u0631\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0627\u0633\u062a.\u067e\u0633 \u0632\u0645\u06cc\u0646\u0647 \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0628\u0631\u0627\u06cc \u062f\u0631\u06a9 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062f\u06cc\u0641\u0631\u0627\u0646\u0633\u06cc\u0644 \u060c \u062c\u0628\u0631 \u062e\u0637\u06cc \u0648 \u0641\u06cc\u0632\u06cc\u06a9 \u0645\u062f\u0631\u0646 \u0627\u0633\u062a.\u0645\u0627 \u0628\u0647 \u06cc\u06a9 \u067e\u0627\u06cc\u0647 \u0645\u062d\u06a9\u0645 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062f\u06cc\u0641\u0631\u0627\u0646\u0633\u06cc\u0644 \u0648 \u062c\u0628\u0631 \u062e\u0637\u06cc \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u06cc\u0645 \u0632\u06cc\u0631\u0627 \u0631\u0641\u062a\u0627\u0631 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u062a\u0648\u0633\u0637 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u062f\u0627\u0631\u0647 \u0645\u06cc \u0634\u0648\u062f \u06a9\u0647 \u0627\u0632 \u0646\u0638\u0631 \u0627\u06cc\u0646 \u0645\u0641\u0627\u0647\u06cc\u0645 \u0646\u0648\u0634\u062a\u0647 \u0634\u062f\u0647 \u0627\u0646\u062f.\u0641\u06cc\u0632\u06cc\u06a9 \u0645\u062f\u0631\u0646 \u0634\u0627\u0645\u0644 \u0645\u0641\u0627\u0647\u06cc\u0645\u06cc \u0645\u0627\u0646\u0646\u062f \u0646\u0633\u0628\u06cc\u062a \u062e\u0627\u0635 \u0648 \u067e\u062f\u06cc\u062f\u0647 \u0647\u0627\u06cc \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0645\u0627\u0646\u0646\u062f \u0627\u062b\u0631 \u0641\u0648\u062a\u0648\u0627\u0644\u06a9\u062a\u0631\u06cc\u06a9 \u0648 \u06a9\u0645\u06cc\u062a \u0627\u0646\u0631\u0698\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062a\u0626\u0648\u0631\u06cc \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0647 \u062f\u0646\u0628\u0627\u0644 \u062a\u0648\u0636\u06cc\u062d \u0627\u0633\u062a.\u0627\u06cc\u0646 \u06a9\u062a\u0627\u0628 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0645\u0642\u062f\u0645\u0647 \u0627\u06cc \u0628\u0631\u0627\u06cc \u0632\u0628\u0627\u0646 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646 \u060c \u06cc\u0627 Numpy \u060c \u06cc\u0627 \u062d\u062a\u06cc \u0628\u0647 Vpython \u0646\u06cc\u0633\u062a.\u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644 \u060c \u0646\u0645\u0648\u0646\u0647 \u0647\u0627\u06cc \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0622\u0646 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0634\u0631\u0648\u0639 \u0645\u06cc \u0634\u0648\u062f \u0648 \u067e\u06cc\u0686\u06cc\u062f\u0647 \u062a\u0631 \u0645\u06cc \u0634\u0648\u062f \u0632\u06cc\u0631\u0627 \u0641\u0635\u0648\u0644 \u067e\u06cc\u0634\u0631\u0641\u062a \u0645\u06cc \u06a9\u0646\u0646\u062f \u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u062a\u062e\u0635\u0635 \u0639\u0645\u06cc\u0642 \u062f\u0631 \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0627\u06cc\u0646 \u0645\u0648\u0627\u0631\u062f \u067e\u06cc\u0634 \u0646\u06cc\u0627\u0632 \u0646\u06cc\u0633\u062a. \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0645\u0647\u0645:- \u06cc\u06a9 \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u0642\u0627\u0628\u0644 \u062f\u0633\u062a\u0631\u0633\u06cc \u0648 \u0639\u0645\u0644\u06cc \u0628\u0631\u0627\u06cc \u0627\u0646\u062a\u0632\u0627\u0639 \u062f\u0631 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u0647\u0627\u06cc \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u0646\u0645\u0648\u0646\u0647 \u0647\u0627\u06cc \u0628\u0635\u0631\u06cc \u0628\u062a\u0648\u0646\u06cc \u06a9\u0647 \u062a\u0648\u0633\u0637 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646 \u0633\u0627\u062f\u0647 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u0634\u0648\u062f \u060c \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u062f.\u0645\u0641\u0627\u0647\u06cc\u0645 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u062f\u0631\u06a9 \u06a9\u062f \u062f\u0631 \u0627\u06cc\u0646 \u06a9\u062a\u0627\u0628.\u0627\u0633\u062a\u0641\u0627\u0646 Spicklemire \u0627\u0633\u062a\u0627\u062f\u06cc\u0627\u0631 \u0641\u06cc\u0632\u06cc\u06a9 \u062f\u0631 \u062f\u0627\u0646\u0634\u06af\u0627\u0647 \u0627\u06cc\u0646\u062f\u06cc\u0627\u0646\u0627\u067e\u0648\u0644\u06cc\u0633 \u060c \u0627\u06cc\u0627\u0644\u0627\u062a \u0645\u062a\u062d\u062f\u0647 \u0627\u0633\u062a.
\r\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 \u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0633\u0627\u0644 \u0627\u0646\u062a\u0634\u0627\u0631 \u06a9\u062a\u0627\u0628 2024 \u0632\u0628\u0627\u0646 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0646\u0627\u0634\u0631 CRC Press \u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a […]<\/p>\n","protected":false},"featured_media":204855,"comment_status":"open","ping_status":"closed","template":"","meta":{"pmpro_default_level":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","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":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","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":[15],"product_tag":[],"class_list":{"0":"post-204857","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-15","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 \u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646 - \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-\u062a\u062c\u0633\u0645-\u0645\u06a9\u0627\u0646\u06cc\u06a9-\u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc-\u0628\u0627-\u067e\u0627\u06cc\u062a\u0648\u0646\/\" \/>\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 \u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646 - \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 \u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0633\u0627\u0644 \u0627\u0646\u062a\u0634\u0627\u0631 \u06a9\u062a\u0627\u0628 2024 \u0632\u0628\u0627\u0646 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0646\u0627\u0634\u0631 CRC Press \u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/express24.ir\/d\/product\/\u06a9\u062a\u0627\u0628-\u062a\u062c\u0633\u0645-\u0645\u06a9\u0627\u0646\u06cc\u06a9-\u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc-\u0628\u0627-\u067e\u0627\u06cc\u062a\u0648\u0646\/\" \/>\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=\"2025-09-24T08:06:16+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/express24.ir\/d\/wp-content\/uploads\/2025\/09\/5314c3eae7b39af127a368e4faf66da5770def232ee4107744144238898a9db9.jpg\" \/>\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=\"2 \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%aa%d8%ac%d8%b3%d9%85-%d9%85%da%a9%d8%a7%d9%86%db%8c%da%a9-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/\",\"url\":\"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ac%d8%b3%d9%85-%d9%85%da%a9%d8%a7%d9%86%db%8c%da%a9-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/\",\"name\":\"\u06a9\u062a\u0627\u0628 \u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\",\"isPartOf\":{\"@id\":\"https:\/\/express24.ir\/d\/#website\"},\"datePublished\":\"2025-09-24T08:06:13+00:00\",\"dateModified\":\"2025-09-24T08:06:16+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ac%d8%b3%d9%85-%d9%85%da%a9%d8%a7%d9%86%db%8c%da%a9-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#breadcrumb\"},\"inLanguage\":\"fa-IR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ac%d8%b3%d9%85-%d9%85%da%a9%d8%a7%d9%86%db%8c%da%a9-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ac%d8%b3%d9%85-%d9%85%da%a9%d8%a7%d9%86%db%8c%da%a9-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#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 \u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646\"}]},{\"@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 \u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646 - \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-\u062a\u062c\u0633\u0645-\u0645\u06a9\u0627\u0646\u06cc\u06a9-\u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc-\u0628\u0627-\u067e\u0627\u06cc\u062a\u0648\u0646\/","og_locale":"fa_IR","og_type":"article","og_title":"\u06a9\u062a\u0627\u0628 \u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646 - \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 \u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0633\u0627\u0644 \u0627\u0646\u062a\u0634\u0627\u0631 \u06a9\u062a\u0627\u0628 2024 \u0632\u0628\u0627\u0646 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0646\u0627\u0634\u0631 CRC Press \u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a […]","og_url":"https:\/\/express24.ir\/d\/product\/\u06a9\u062a\u0627\u0628-\u062a\u062c\u0633\u0645-\u0645\u06a9\u0627\u0646\u06cc\u06a9-\u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc-\u0628\u0627-\u067e\u0627\u06cc\u062a\u0648\u0646\/","og_site_name":"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","article_modified_time":"2025-09-24T08:06:16+00:00","og_image":[{"url":"https:\/\/express24.ir\/d\/wp-content\/uploads\/2025\/09\/5314c3eae7b39af127a368e4faf66da5770def232ee4107744144238898a9db9.jpg"}],"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":"2 \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%aa%d8%ac%d8%b3%d9%85-%d9%85%da%a9%d8%a7%d9%86%db%8c%da%a9-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/","url":"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ac%d8%b3%d9%85-%d9%85%da%a9%d8%a7%d9%86%db%8c%da%a9-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/","name":"\u06a9\u062a\u0627\u0628 \u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","isPartOf":{"@id":"https:\/\/express24.ir\/d\/#website"},"datePublished":"2025-09-24T08:06:13+00:00","dateModified":"2025-09-24T08:06:16+00:00","breadcrumb":{"@id":"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ac%d8%b3%d9%85-%d9%85%da%a9%d8%a7%d9%86%db%8c%da%a9-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#breadcrumb"},"inLanguage":"fa-IR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ac%d8%b3%d9%85-%d9%85%da%a9%d8%a7%d9%86%db%8c%da%a9-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ac%d8%b3%d9%85-%d9%85%da%a9%d8%a7%d9%86%db%8c%da%a9-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#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 \u062a\u062c\u0633\u0645 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646"}]},{"@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\/204857","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=204857"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/media\/204855"}],"wp:attachment":[{"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/media?parent=204857"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product_cat?post=204857"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product_tag?post=204857"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}