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 
General computer science Lecture notes
These lecture notes provide broad coverage of general issues in computer science, with an emphasis on discrete mathematics and programming. The topics taught in this course range from representational issues and computation of information, Standard ML, recursion, imperative programming, and encoding of programs as strings. These notes uniquely combine Boolean algebra and propositional logic with the description of machine-oriented calculi such as analytical tableaux and resolution for a wholesome understanding of both the theoretical and practical aspects of computer science.
Author(s): Michael Kohlhase
179 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
Computer Science by Dr. Chris Bourke
Dr. Chris Bourke's book provides an extended textbook introduction to many core areas of computer science. It covers the basics of programming: conditionals, loops, functions, and error handling. More advanced topics concern dynamic memory, collections, and file I/ using both procedural and object-oriented approaches. There are chapters on searching and sorting algorithms, graphical user interface design, and database connectivity. This resource serves well as a starting point, either for beginners or intermediate learners, in terms of providing overall depth regarding key concepts and best practices in the subject of programming.
Author(s): Dr. Chris Bourke, Department of Computer Science and Engineering, University of Nebraska
647 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
Overview "Computer Skills" by Qais A. Marji is a very important resource in basic computer skills development. This online resource varies in topic from basic computer components and their functions to more complex issues. It includes detailed discussions of computer viruses and protection measures that will help users understand how to protect their systems. The document introduces operating systems-DOS and Windows-additionally some essential application software: word processors, spreadsheet applications, and presentation applications. It further extends to cover the use of the internet and e-mail. This course is specially prepared for students and beginners with the aim of equipping them with practical skills in everyday computing tasks that would serve to increase their proficiency and build confidence in the use of technology.
Author(s): Qais. A. Marji
NA Pages
Lecture Notes On High Performance Computing
The following Lecture Notes on High Performance Computing from VSS University of Technology deal in-depth with new computing paradigms aimed at the efficient execution of large computations. This PDF covers Cluster Computing, a form of parallel processing wherein a group of computers that are symmetrically linked work symptomatically as one system to enhance computation power. It looks at Scalable Parallel Computer Architectures, which can grow as demand for processing goes up. This discusses key components of clusters and the role of Cluster Middleware in creating a Single System Image. The notes describe the Evolution of Metacomputing, which covers development and integration aspects of distributed computing resources. Other topics that are considered in this regard include resource-sharing concepts like Load Sharing and Balancing. Furthermore, Grid Computing and Cloud Computing, concepts based on distributed resources and remote servers, will also be discussed. It also deals with the provisioning of Virtual Machines and Time and Space-shared provisioning in order to provide insight into some efficient resource management and virtualization issues in high-performance computing environments.
Author(s): VSS University of Technology
69 Pages
