Essential algorithms and data structures that form the foundation of efficient problem-solving in computer science. Covers complexity analysis, sorting, searching, graph algorithms, dynamic programming, and fundamental data structures.
Required:
- Programming - Strong programming fundamentals needed to implement and analyze algorithms
Recommended:
- Mathematics for CS - Mathematical maturity helps with complexity analysis and proofs
- Any modern language (Intermediate) - Algorithms can be implemented in C, Java, Python, etc.
- Focus on understanding concepts rather than language-specific syntax
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The Algorithm Design Manual by Steven Skiena (3rd Edition)
- Practical approach to algorithmic problem-solving
- War stories demonstrate real-world applications
- Excellent balance of theory and practice
- Level: Intermediate
- ISBN: 978-3030542559
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Introduction to Algorithms (CLRS) by Cormen, Leiserson, Rivest, and Stein
- Comprehensive reference text
- More proof-heavy than Skiena
- Level: Intermediate to Advanced
- Use selectively as reference material
- Instructor: Steven Skiena
- Institution: Stony Brook University
- Platform: YouTube
- URL: Course playlist
- Description: Engaging lectures covering practical algorithm design and analysis
- Pairs with: The Algorithm Design Manual
- Instructor: Tim Roughgarden
- Institution: Stanford University
- Platform: Coursera
- Description: Four-course specialization covering divide-and-conquer, graph algorithms, greedy algorithms, and dynamic programming
- Well-structured alternative to Skiena's course
- LeetCode - Practice problems for technical interviews and algorithmic thinking
- VisuAlgo - Algorithm visualizations
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Source: LeetCode problems
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Difficulty: Easy to Hard
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Estimated time: 100+ random problems (200+ hours)
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Topics: Arrays, linked lists, trees, graphs, dynamic programming, sorting, searching
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Strategy: Solve approximately 100 random problems to build comprehensive understanding
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Source: The Algorithm Design Manual exercises
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Difficulty: Intermediate
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Topics: Design and analysis of algorithms across all major categories
- Implement major data structures from scratch (hash tables, balanced trees, graphs)
- Solve algorithmic challenges on competitive programming platforms
[Personal notes and key insights can be added here during study]
- Completed core textbook (Skiena or equivalent)
- Watched primary video lecture series
- Solved 100+ LeetCode problems across difficulty levels
- Implemented fundamental data structures
- Review and reinforcement