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Mô tả
Discrete Structures (2025–2026 Edition) is a comprehensive guide for BSCS, BS Software Engineering, BSIT, Mathematics, and self-learners who want a strong mathematical foundation for computer science. The book bridges theory and practice through MCQs, quizzes, and problem sets that strengthen conceptual understanding and analytical reasoning.
Learn how discrete mathematics forms the core of computing — from data structures and databases to cryptography, AI, and algorithms.
📂 Units & Topics
🔹 Unit 1: Fundamentals of Discrete Mathematics
Sets, subsets, power sets, Venn diagrams, set identities, and mathematical reasoning. Proof techniques including direct, indirect, contradiction, and induction.
🔹 Unit 2: Logic and Propositional Calculus
Propositions, logical connectives, truth tables, tautologies, predicate logic, quantifiers, and logical equivalences.
🔹 Unit 3: Functions, Relations, and Algorithms
Functions and their types, composition, inverses, Big-O notation, relations, equivalence relations, partial orderings, and algorithmic thinking.
🔹 Unit 4: Counting and Combinatorics
Counting principles, permutations, combinations, pigeonhole principle, binomial theorem, and inclusion–exclusion applications.
🔹 Unit 5: Recurrence Relations and Generating Functions
Linear recurrence relations, homogeneous and non-homogeneous recurrences, divide-and-conquer, and generating functions.
🔹 Unit 6: Graph Theory
Graph types, representations, isomorphism, paths, connectivity, Euler and Hamilton paths, coloring, trees, DFS, and BFS.
🔹 Unit 7: Boolean Algebra and Switching Circuits
Boolean functions, laws, simplification using Karnaugh maps, and design of logic circuits.
🔹 Unit 8: Number Theory and Cryptography
Divisibility, primes, Euclidean algorithm, modular arithmetic, Fermat’s and Euler’s theorems, Chinese Remainder Theorem, and RSA basics.
🔹 Unit 9: Algebraic Structures
Semigroups, monoids, groups, rings, fields, and their applications in computing.
🔹 Unit 10: Applications of Discrete Mathematics in Computing
Finite state machines, algorithms, data structures, database logic, simulation, AI, and machine learning.
🌟 Why Choose This Book/App?
✅ Complete coverage of university-level Discrete Structures syllabus
✅ Includes MCQs, quizzes, and practice problems
✅ Connects mathematical theory with real-world computer science
✅ Builds logical reasoning and problem-solving skills
✅ Ideal for students, educators, and self-learners
✅ Perfect for classroom, self-study, and online learning
✍ Inspired by the Works of:
Kenneth Rosen • Ronald L. Graham • Donald Knuth • Susanna Epp • Richard Johnsonbaugh
📥 Download Now!
Master the core of computer science with Discrete Structures (2025–2026 Edition) — your complete guide to logic, proofs, counting, and computation for academic excellence and real-world success.
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Tính năng mới
- Phiên bản: 1.0
- Cập nhật:
- 🚀 Initial Launch of Discrete Structures app!
✨ What’s Inside:
✅ Complete syllabus book covering the foundations of Discrete Mathematics and Computer Science
✅ MCQs, quizzes, and problem sets for concept mastery and exam preparation
🎯 Suitable For:
👩🎓 Students of BSCS, BS Software Engineering, and Mathematics
📘 University & college courses on Discrete Mathematics and Computational Theory
Start mastering the mathematical backbone of computer science with Discrete Structures app! 🚀
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