Discrete Mathematics And Its Applications Kh Rosen 6th Edition
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Discrete Maths and Its Applications Global Edition 7e
We are pleased to present this Global Edition which has been developed specifically to meet the needs of international students of discrete mathematics. In addition to great depth in key areas and a broad range of real-world applications across multiple disciplines, we have added new material to make the content more relevant and improve learning outcomes for the international student.This Global Edition includes: An entire new chapter on Algebraic Structures and Coding Theory New and expanded sections within chapters covering Foundations, Basic Structures, and Advanced Counting Techniques Special online only chapters on Boolean Algebra and Modeling Computation New and revised problems for the international student integrating alternative methods and solutions.This Global Edition has been adapted to meet the needs of courses outside of the United States and does not align with the instructor and student resources available with the US edition.
Discrete Mathematics
Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. The approach is comprehensive yet maintains an easy-to-follow progression from the basic mathematical ideas to the more sophisticated concepts examined later in the book. This edition preserves the philosophy of its predecessors while updating and revising some of the content. New to the Third Edition In the expanded first chapter, the text includes a new section on the formal proof of the validity of arguments in propositional logic before moving on to predicate logic. This edition also contains a new chapter on elementary number theory and congruences. This chapter explores groups that arise in modular arithmetic and RSA encryption, a widely used public key encryption scheme that enables practical and secure means of encrypting data. This third edition also offers a detailed solutions manual for qualifying instructors. Exploring the relationship between mathematics and computer science, this text continues to provide a secure grounding in the theory of discrete mathematics and to augment the theoretical foundation with salient applications. It is designed to help readers develop the rigorous logical thinking required to adapt to the demands of the ever-evolving discipline of computer science.
Discrete Mathematics Foundations and Applications
Author: Dr. Mohd Shadab Alam
language: en
Publisher: Crown Publishing
Release Date: 2025-02-16
Discrete Mathematics is a systematically structured academic textbook that provides a rigorous exploration of fundamental mathematical concepts essential for various disciplines, particularly computer science and engineering. The book comprehensively covers key topics, including set theory, relations, propositional calculus, functions, Boolean algebra, recurrence relations, graph theory, trees, planar graphs, combinatorial counting principles, algebraic systems, and matrix algebra. The text is designed to facilitate a progressive understanding of discrete mathematical structures, beginning with foundational principles and advancing toward more complex theoretical frameworks. Each chapter presents clearly defined concepts, supplemented with illustrative examples, well-structured exercises, and relevant diagrams to reinforce comprehension and analytical reasoning. A distinguishing feature of this book is its emphasis on the practical applicability of discrete mathematics in computational and algorithmic problem-solving. Topics such as graph theory, Boolean algebra, and recurrence relations play a pivotal role in the design and analysis of algorithms, data structures, and digital logic circuits. Furthermore, the integration of combinatorial techniques and algebraic structures enhances students’ ability to model and solve real-world mathematical problems. With its academic rigor and structured pedagogical approach, this book is well-suited for undergraduate students, educators, and researchers seeking a deeper insight into discrete mathematical principles. The accessible yet comprehensive presentation ensures that learners with diverse mathematical backgrounds can engage effectively with the material. Discrete Mathematics serves as a valuable resource for fostering logical reasoning, problem-solving skills, and mathematical abstraction, making it indispensable for academic and professional growth.