کتاب طراحی الگوریتم جف اریکسون

کتاب طراحی الگوریتم جف اریکسون

• کتاب: Algorithms
• نویسنده: Jeff Erickson
• زبان: انگلیسی
• نوع فایل: PDF
• تعداد صفحات: 472

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خلاصه کتاب طراحی الگوریتم جف اریکسون:

“Algorithms” by Jeff Erickson is a textbook on the design and analysis of algorithms. Here is a brief summary of some of the key concepts covered in the book:

Algorithmic Thinking: The book begins with an introduction to algorithmic thinking, including problem formulation, problem-solving strategies, and algorithm design paradigms.

Sorting and Search Algorithms: Erickson covers several sorting algorithms, including insertion sort, merge sort, quicksort, and heapsort. He also covers search algorithms, including binary search and interpolation search.

Data Structures: The book covers a wide range of data structures, including arrays, linked lists, stacks, queues, trees, hash tables, and graphs. Erickson emphasizes the importance of choosing the right data structure for a given problem.

Advanced Design and Analysis Techniques: Erickson covers advanced design and analysis techniques, including dynamic programming, greedy algorithms, and divide-and-conquer algorithms. He also discusses the importance of analyzing the worst-case, average-case, and best-case running times of algorithms.

NP-Hard Problems: The book covers NP-hard problems, which are computationally intractable and have no known polynomial-time algorithms. Erickson shows how to use reductions to prove that a problem is NP-hard, and also covers some approximation algorithms for NP-hard problems.

Randomized Algorithms: The book covers randomized algorithms, which make use of randomization to improve the running time or correctness of an algorithm. Examples include randomized quicksort, randomized selection, and the Monte Carlo algorithm for primality testing.

Overall, “Algorithms” is a comprehensive textbook that provides a thorough introduction to algorithmic thinking and covers a wide range of algorithms and algorithm design paradigms. The book is suitable for students and professionals in computer science, engineering, and related fields who are interested in the design and analysis of algorithms. It is often used as a textbook for undergraduate and graduate courses in algorithms and data structures.

:سرفصل ها

 Introduction
– Recursion
– Backtracking
– Dynamic Programming
– Greedy Algorithms
– Basic Graph Algorithms
– Depth-First Search
– Minimum Spanning Trees
– Shortest Paths
– All-Pairs Shortest Paths
– Maximum Flows & Minimum Cuts
– Applications of Flows and Cuts
– NP-Hardness