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
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
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
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
