Mathematics for Computer Science
This is a comprehensive textbook, covering some fundamental mathematical concepts underlying computer science. It starts with basic proofs, induction, and recursion; it proceeds to infinite sets, number theory, and graph theory. Further, it outlines the practical usage in the area of communication networks, along with some aspects of probability theory involving random variables and random walks. This merge of mathematical theory with computer science applications provides an excellent framework upon which students can base their study of algorithms, data structures, and other computational concepts.
Author(s): Eric Lehman, F. Thomson Leighton, Alberty R. Meyer
427 Pages 
Introduction to Theoretical Computer Science
Introduction to Theoretical Computer Science by Boaz Barak provides an overview of some basic notions. This voluminous note starts with serious foundational mathematics needed to understand the intricacies of computation. Among several models of computation and their representations, he deals with finite and uniform computations. Key topics: It presents efficient algorithms which are essential in solving practical problems and randomized computation, one of whose important features is to bring probabilistic methods into the design of algorithms. Advanced topics broaden the knowledge further towards recent research and trends. This note is intended for students and professionals at large who wish to have a rigorous introduction to theoretical aspects and their practical applications in computer science.
Author(s): Boaz Barak
656 Pages
Overview of Computer Science by Phillip Barty Crouch Junior is broad but detailed in most key areas of computer science. It deals with algorithms, the prerequisite for problem-solving and data processing. Data representation and logic form the backbone through which computers understand and execute instructions and are thus discussed. It does also touch on the topics of machine organization and Moore's Law, referring to the exponential growth that has occurred in computing power. It also covers topics in computer security and algorithmic complexity, and software development practices. Python references and examples, with practical problems will enable readers to understand and apply the content by matching theory with hands-on programming.
Author(s): Phillip Barty Crouch Junior
238 Pages
CS Unplugged is an entertaining way to help learn about the basics of computer science, using snacks, sorting games, and puzzles-none of which require a computer. The PDF covers basic material like data representation, algorithms, and procedures through to advanced and specialized topics such as intractability, cryptography, and human-computer interaction. This is ideal for teachers and students alike who seek knowledge about concepts in computer science using interactives with no digital support; therefore, suitable for any environment where the learning process takes place.
Author(s): Tim Bell, Ian H. Witten, Mike Fellows
243 Pages
Mathematics for Computer Science
This is a comprehensive textbook, covering some fundamental mathematical concepts underlying computer science. It starts with basic proofs, induction, and recursion; it proceeds to infinite sets, number theory, and graph theory. Further, it outlines the practical usage in the area of communication networks, along with some aspects of probability theory involving random variables and random walks. This merge of mathematical theory with computer science applications provides an excellent framework upon which students can base their study of algorithms, data structures, and other computational concepts.
Author(s): Eric Lehman, F. Thomson Leighton, Alberty R. Meyer
427 Pages
The book "Logic for Computer Science" by Andrzej Szalas provides an in-depth discussion of several logical systems located at the heart of computer science. This in-depth PDF gives the basics—introducing the reader to some logics—leading to a very solid foundation on the Propositional Calculus and the Predicate Calculus. It goes on to show the application of these logics to automated deduction as both Propositional and Predicate Calculus. The text by this token goes further to illustrate advanced topics, including Second-Order Logic, Second-Order Quantifier Elimination, and Modal Logics. This text also goes on to consider Temporal Logic, Logics of Programs, and Fixpoint Calculus and demonstrates how these notions are used both theoretically and practically in the area of computing. With its breadth, this resource is invaluable in understanding the theoretical underpinnings of computer science and their practical applications in the areas of software development and automated reasoning.
Author(s): Andrzej Szalas
125 Pages
Introduction To Computer System by Tilak Maharashtra Vidyapeeth
Introduction to Computer Systems by Tilak Maharashtra Vidyapeeth presents the fundamental concepts of the computer system. This above PDF describes some important aspects of the computer system: input and output devices, primary and secondary storage devices constituting it. The number system and Boolean algebra have also been explained, which form the basis of logic circuits. It also deals with computer software, programming languages, and program development. It also gives an overview of some popular operating systems, hence enabling the readers to have a broader view on both the hardware and software aspects of computing. This note thus targets serving as an introductory guide for students and individuals that are entering computer systems, hence helping them to develop a solid background in both the theoretical and practical aspects of computing.
Author(s): Tilak Maharashtra Vidyapeeth
109 Pages
