Logic and Discrete Mathematics: A Concise Introduction – eBook

Description

This ebook presents a meticulously crafted approach to the fundamental principles of logic, seamlessly integrated with an extensive exploration of key areas in discrete mathematics. Over the course of a decade, the authors have honed and validated this material, making it not only comprehensive but also incredibly effective for university-level courses.

Logic and Discrete Mathematics: A Concise Introduction, (PDF) is primarily designed for undergraduate students majoring in mathematics and computer science. However, it also serves as an invaluable resource for graduate-level coursework and for individuals engaging in self-study.

The comprehensive sections devoted to logic—including propositional and first-order logic—equip students with essential tools for effective logical reasoning. The material emphasizes a fundamental understanding of the language and semantics of classical logic. Furthermore, it provides practical applications through user-friendly deductive systems such as Semantic Tableaux and Resolution methods.

In addition to logic, this ebook delves into critical areas such as set theory, number theory, combinatorics, and graph theory. Each topic is designed to strike a balance between theoretical concepts and real-world applications, supported by numerous illustrative examples. The writing is clear and accessible, ensuring that readers of all backgrounds can grasp complex ideas effortlessly. To reinforce learning, every chapter concludes with a comprehensive set of exercises, most of which come with complete solutions available in a supplementary solutions manual.

Key Features:

• Direct, succinct, and well-organized presentation accompanied by a wealth of examples.
• Suitable for a broad range of courses across mathematics and computer science disciplines.
• Includes practical applications involving cryptographic systems, discrete probability, and network algorithms.
• Thorough coverage of classical logic, combined with a robust examination of essential discrete mathematics topics.

NOTE: This product only includes the ebook, Logic and Discrete Mathematics: A Concise Introduction, in PDF format. Access codes are not included.

ISBN: 978-1-23456-789-0, ISBN: 978-0-12345-678-9.