Elements of Discrete Mathematics by C. L. Liu: A Free PDF Download
Elements of Discrete Mathematics is a textbook by C. L. Liu, a professor of computer science and engineering at the University of Illinois at Urbana-Champaign. The book covers various topics in discrete mathematics, such as sets, relations, functions, graphs, trees, combinatorics, algebraic structures, logic, and algorithms. The book is suitable for undergraduate students of computer science, mathematics, and engineering.
The book was first published in 1977 by McGraw Hill Higher Education[^2^], and a second edition was released in 1985[^1^]. The book has been widely used as a reference and a course material in many universities around the world. The book has also received positive reviews from readers and instructors for its clear explanations, examples, exercises, and applications.
If you are interested in learning more about discrete mathematics and its applications to computer science and engineering, you can download a free PDF version of the book from the Internet Archive[^1^] [^2^]. You can also access a scanned copy of the book from Academia.edu[^3^]. However, please note that these sources may not be authorized by the author or the publisher, and may violate their copyrights. Therefore, we recommend that you purchase a legal copy of the book from a reputable online or offline bookstore.
elements of discrete mathematics c.l. liu download free pdf
Discrete mathematics is a branch of mathematics that deals with finite and discrete objects, such as integers, binary digits, symbols, and graphs. Discrete mathematics is essential for the study of computer science and engineering, as it provides the theoretical foundation for many topics, such as data structures, algorithms, cryptography, coding theory, artificial intelligence, and computational complexity.
Elements of Discrete Mathematics by C. L. Liu is one of the classic textbooks in this field, as it covers a wide range of topics in a rigorous and accessible manner. The book is divided into 11 chapters, each with an introduction, a summary, and a set of exercises. The chapters are:
Chapter 1: Sets and Relations
Chapter 2: Functions
Chapter 3: Graphs
Chapter 4: Trees
Chapter 5: Combinatorics
Chapter 6: Algebraic Structures
Chapter 7: Boolean Algebra and Logic Circuits
Chapter 8: Propositional Logic
Chapter 9: Predicate Logic
Chapter 10: Algorithms and Their Complexity
Chapter 11: Applications of Discrete Mathematics
The book also includes four appendices on mathematical induction, matrices and determinants, equivalence relations and partitions, and recurrence relations. The book is well-organized and well-written, with clear definitions, theorems, proofs, examples, and applications. The book also uses a consistent notation and terminology throughout the chapters.If you want to learn more about discrete mathematics and its applications to computer science and engineering, Elements of Discrete Mathematics by C. L. Liu is a great choice. The book is comprehensive, rigorous, and engaging, and it will help you develop your logical thinking and problem-solving skills. The book is also suitable for self-study, as it provides enough explanations and exercises for each topic.
However, if you are looking for a free PDF download of the book, you may not find a legal or authorized source. The book is copyrighted by the author and the publisher, and they may not have given permission for the distribution of the book online. Therefore, we advise you to respect their rights and purchase a legal copy of the book from a reputable online or offline bookstore.
Elements of Discrete Mathematics by C. L. Liu is a classic textbook that will enrich your knowledge and understanding of discrete mathematics and its applications to computer science and engineering. We hope you enjoy reading and learning from this book. 0efd9a6b88