Foundations of Computer Science by Lawrence C Paulson
This note has two objectives. First is to teach programming. Second is to present some fundamental principles of computer science, especially algorithm design. Major topics covered includes: Recursive Functions, O Notation: Estimating Costs in the Limit, Lists, Sorting, Datatypes and Trees, Dictionaries and Functional Arrays, Queues and Search Strategies, Functions as Values, List Functionals, Polynomial Arithmetic, Sequences, or Lazy Lists, Elements of Procedural Programming, and Linked Data Structures.
Author(s): Lawrence C Paulson
155 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
Logic for Computer Science Lecture Notes
This lecture note provides a thorough introduction to the principles of propositional logic, an essential component of computer science. It begins with informal propositional logic and then delves into formal syntax, covering functions defined recursively and their semantics. The notes explore logical connectives and their roles in constructing and evaluating logical statements. Key topics include natural deduction, normal forms, and resolution methods, which are crucial for reasoning about logical propositions and solving logical problems. This resource is ideal for students seeking a solid foundation in propositional logic and its applications in computer science.
Author(s): Alexandru Ioan Cuza University
84 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
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
