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Sets Logic And Maths For Computing

Author: David Makinson
Publisher: Springer Science & Business Media
ISBN: 1447124995
Size: 63.70 MB
Format: PDF, Kindle
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This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.

Programming Languages And Operational Semantics

Author: Maribel Fernández
Publisher: Springer
ISBN: 1447163680
Size: 77.81 MB
Format: PDF
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This book provides an introduction to the essential concepts in programming languages, using operational semantics techniques. It presents alternative programming language paradigms and gives an in-depth analysis of the most significant constructs in modern imperative, functional and logic programming languages. The book is designed to accompany lectures on programming language design for undergraduate students. Each chapter includes exercises which provide the opportunity to apply the concepts and techniques presented.

Mit Java Programmieren Lernen F R Dummies

Author: Barry A. Burd
Publisher: John Wiley & Sons
ISBN: 3527691898
Size: 13.47 MB
Format: PDF
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Steigen Sie mit diesem Buch in die Welt des Programmierens ein und zwar mit der beliebten Programmiersprache Java! Schritt fï¿1⁄2r Schritt werden Sie mit den Grundlagen, wie zum Beispiel Variablen, Schleifen und objektorientierter Programmierung, vertraut gemacht, probieren viele anschauliche Beispiele aus und schreiben Ihr erstes eigenes Programm. Dieses Buch steht Ihnen bei allen Herausforderungen jederzeit mit hilfreichen Tipps und Lï¿1⁄2sungsvorschlï¿1⁄2gen zur Seite, sodass Sie fï¿1⁄2r Ihren Weg zum Programmierer optimal gerï¿1⁄2stet sind!

Der Turing Omnibus

Author: A.K. Dewdney
Publisher: Springer-Verlag
ISBN: 3642788726
Size: 15.58 MB
Format: PDF, Docs
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Der Turing Omnibus macht in 66 exzellent geschriebenen Beiträgen Station bei den interessantesten Themen aus der Informatik, der Computertechnologie und ihren Anwendungen.

Fundamentals Of Discrete Math For Computer Science

Author: Tom Jenkyns
Publisher: Springer
ISBN: 3319701517
Size: 65.70 MB
Format: PDF
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This clearly written textbook presents an accessible introduction to discrete mathematics for computer science students, offering the reader an enjoyable and stimulating path to improve their programming competence. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Its motivational and interactive style provokes a conversation with the reader through a questioning commentary, and supplies detailed walkthroughs of several algorithms. This updated and enhanced new edition also includes new material on directed graphs, and on drawing and coloring graphs, in addition to more than 100 new exercises (with solutions to selected exercises). Topics and features: assumes no prior mathematical knowledge, and discusses concepts in programming as and when they are needed; designed for both classroom use and self-study, presenting modular and self-contained chapters that follow ACM curriculum recommendations; describes mathematical processes in an algorithmic manner, often supported by a walkthrough demonstrating how the algorithm performs the desired task; includes an extensive set of exercises throughout the text, together with numerous examples, and shaded boxes highlighting key concepts; selects examples that demonstrate a practical use for the concept in question. Students embarking on the start of their studies of computer science will find this book to be an easy-to-understand and fun-to-read primer, ideal for use in a mathematics course taken concurrently with their first programming course.

Uml Classroom

Author: Martina Seidl
Publisher: dpunkt.verlag
ISBN: 3864911753
Size: 36.28 MB
Format: PDF, ePub
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Dieses Lehrbuch vermittelt die Grundlagen der objektorientierten Modellierung anhand von UML und bietet eine kompakte Einführung in die fünf Diagramme Klassendiagramm, Anwendungsfalldiagramm, Zustandsdiagramm, Sequenzdiagramm und Aktivitätsdiagramm. Diese decken die wesentlichen Konzepte ab, die für die durchgängige objektorientierte Modellierung in einem kompletten Softwareentwicklungsprozess benötigt werden. Besonderer Wert wird auf die Verdeutlichung des Zusammenspiels unterschiedlicher Diagramme gelegt. Die präsentierten Konzepte werden anhand von illustrativen Beispielen erklärt.

Logic Mathematics And Computer Science

Author: Yves Nievergelt
Publisher: Springer
ISBN: 1493932233
Size: 56.43 MB
Format: PDF, ePub
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This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory. It also serves as an excellent independent study reference and resource for instructors. Adapted from Foundations of Logic and Mathematics: Applications to Science and Cryptography © 2002 Birkhӓuser, this second edition provides a modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of all mathematics and theoretical computer science from logic and set theory. The focuses is on foundations, with specific statements of all the associated axioms and rules of logic and set theory, and provides complete details and derivations of formal proofs. Copious references to literature that document historical development is also provided. Answers are found to many questions that usually remain unanswered: Why is the truth table for logical implication so unintuitive? Why are there no recipes to design proofs? Where do these numerous mathematical rules come from? What issues in logic, mathematics, and computer science still remain unresolved? And the perennial question: In what ways are we going to use this material? Additionally, the selection of topics presented reflects many major accomplishments from the twentieth century and includes applications in game theory and Nash's equilibrium, Gale and Shapley's match making algorithms, Arrow's Impossibility Theorem in voting, to name a few. From the reviews of the first edition: "...All the results are proved in full detail from first principles...remarkably, the arithmetic laws on the rational numbers are proved, step after step, starting from the very definitions!...This is a valuable reference text and a useful companion for anybody wondering how basic mathematical concepts can be rigorously developed within set theory." —MATHEMATICAL REVIEWS "Rigorous and modern in its theoretical aspect, attractive as a detective novel in its applied aspects, this paper book deserves the attention of both beginners and advanced students in mathematics, logic and computer sciences as well as in social sciences." —Zentralblatt MATH

Essential Logic For Computer Science

Author: Rex Page
Publisher: MIT Press
ISBN: 0262039184
Size: 44.17 MB
Format: PDF, Docs
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An introduction to applying predicate logic to testing and verification of software and digital circuits that focuses on applications rather than theory. Computer scientists use logic for testing and verification of software and digital circuits, but many computer science students study logic only in the context of traditional mathematics, encountering the subject in a few lectures and a handful of problem sets in a discrete math course. This book offers a more substantive and rigorous approach to logic that focuses on applications in computer science. Topics covered include predicate logic, equation-based software, automated testing and theorem proving, and large-scale computation. Formalism is emphasized, and the book employs three formal notations: traditional algebraic formulas of propositional and predicate logic; digital circuit diagrams; and the widely used partially automated theorem prover, ACL2, which provides an accessible introduction to mechanized formalism. For readers who want to see formalization in action, the text presents examples using Proof Pad, a lightweight ACL2 environment. Readers will not become ALC2 experts, but will learn how mechanized logic can benefit software and hardware engineers. In addition, 180 exercises, some of them extremely challenging, offer opportunities for problem solving. There are no prerequisites beyond high school algebra. Programming experience is not required to understand the book's equation-based approach. The book can be used in undergraduate courses in logic for computer science and introduction to computer science and in math courses for computer science students.