دانلود کتاب Linear and Nonlinear Programming with Maple: An Interactive, Applications-Based Approach – برنامه نویسی خطی و غیر خطی با Maple: یک رویکرد تعاملی و مبتنی بر برنامه

توضیحات

Helps Students Understand Mathematical Programming Principles and Solve Real-World Applications

Supplies enough mathematical rigor yet accessible enough for undergraduates
Integrating a hands-on learning approach, a strong linear algebra focus, Maple software, and real-world applications, Linear and Nonlinear Programming with Maple: An Interactive, Applications-Based Approach introduces undergraduate students to the mathematical concepts and principles underlying linear and nonlinear programming. This text fills the gap between management science books lacking mathematical detail and rigor and graduate-level books on mathematical programming.

Essential linear algebra tools
Throughout the text, topics from a first linear algebra course, such as the invertible matrix theorem, linear independence, transpose properties, and eigenvalues, play a prominent role in the discussion. The book emphasizes partitioned matrices and uses them to describe the simplex algorithm in terms of matrix multiplication. This perspective leads to streamlined approaches for constructing the revised simplex method, developing duality theory, and approaching the process of sensitivity analysis. The book also discusses some intermediate linear algebra topics, including the spectral theorem and matrix norms.

Maple enhances conceptual understanding and helps tackle problems
Assuming no prior experience with Maple, the author provides a sufficient amount of instruction for students unfamiliar with the software. He also includes a summary of Maple commands as well as Maple worksheets in the text and online. By using Maples symbolic computing components, numeric capabilities, graphical versatility, and intuitive programming structures, students will acquire a deep conceptual understanding of major mathematical programming principles, along with the ability to solve moderately sized real-world applications.

Hands-on activities that engage students
Throughout the book, student understanding is evaluated through ‘waypoints’ that involve basic computations or short questions. Some problems require paper-and-pencil calculations; others involve more lengthy calculations better suited for performing with Maple. Many sections contain exercises that are conceptual in nature and/or involve writing proofs. In addition, six substantial projects in one of the appendices enable students to solve challenging real-world problems.

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ترجمه ماشینی :

به دانش‌آموزان کمک می‌کند تا اصول برنامه‌نویسی ریاضی را درک کنند و کاربردهای واقعی را حل کنند

دقت ریاضی کافی را فراهم می‌کند و در عین حال به اندازه کافی برای دانشجویان در دسترس است
ادغام رویکرد یادگیری عملی، تمرکز جبر خطی قوی، نرم افزار Maple و برنامه های کاربردی دنیای واقعی، برنامه نویسی خطی و غیرخطی با Maple: یک برنامه کاربردی تعاملی- رویکرد مبتنی بردانشجویان مقطع کارشناسی را با مفاهیم و اصول ریاضی زیربنای برنامه ریزی خطی و غیرخطی آشنا می کند. این متن شکاف بین کتاب‌های علوم مدیریت فاقد جزئیات و دقت ریاضی و کتاب‌های سطح فارغ‌التحصیل در برنامه‌ریزی ریاضی را پر می‌کند.