04725nam 22007455 450 991043757660332120230810133556.01-84800-322-610.1007/978-1-84800-322-4(CKB)3710000000002547(SSID)ssj0000960674(PQKBManifestationID)11516488(PQKBTitleCode)TC0000960674(PQKBWorkID)10949720(PQKB)10989793(DE-He213)978-1-84800-322-4(MiAaPQ)EBC6314812(MiAaPQ)EBC1398251(Au-PeEL)EBL1398251(CaPaEBR)ebr10962577(OCoLC)853093465(PPN)172421616(EXLCZ)99371000000000254720130710d2013 u| 0engurnn|008mamaatxtccrModelling Computing Systems Mathematics for Computer Science /by Faron Moller, Georg Struth1st ed. 2013.London :Springer London :Imprint: Springer,2013.1 online resource (XVI, 500 p. 46 illus.) Undergraduate Topics in Computer Science,2197-1781Includes index.1-84800-321-8 Introduction -- Part I: Mathematics for Computer Science -- Propositional Logic -- Sets -- Boolean Algebras and Circuits -- Predicate Logic -- Proof Strategies -- Functions -- Relations -- Inductive and Recursive Definitions -- Proofs by Induction -- Games and Strategies -- Part II: Modelling Computing Systems -- Modelling Processes -- Distinguishing Between Processes -- Logical Properties of Processes -- Concurrent Processes -- Temporal Properties.We have all experienced delays and frustrations as a result of the notorious ‘computer glitch.’ However, the more dependent we become on computational systems in our daily lives, the more we must ensure that they are safe, reliable and user-friendly. This engaging textbook presents the fundamental mathematics and modelling techniques for computing systems in a novel and light-hearted way, which can be easily followed by students at the very beginning of their university education. Key concepts are taught through a large collection of challenging yet fun mathematical games and logical puzzles that require no prior knowledge about computers. The text begins with intuition and examples as a basis from which precise concepts are then developed; demonstrating how, by working within the confines of a precise structured method, the occurrence of errors in the system can be drastically reduced. Topics and features: Introduces important concepts from discrete mathematics as the basis of computational thinking, presented in a stimulating and motivating style Demonstrates how game theory provides a paradigm for an intuitive understanding of the nature of computation Contains more than 400 exercises throughout the text, with detailed solutions to half of these presented at the end of the book, together with numerous theorems, definitions and examples Describes an approach to the modelling of computing systems based on state transition systems, exploring the languages and techniques for expressing and reasoning about systems specifications and concurrent implementations This clearly written and classroom-tested textbook/reference is essential reading for first-year undergraduate modules on discrete mathematics and systems modelling.Undergraduate Topics in Computer Science,2197-1781Computer scienceMachine theoryComputer scienceMathematicsDiscrete mathematicsComputer Science Logic and Foundations of ProgrammingFormal Languages and Automata TheoryDiscrete Mathematics in Computer ScienceMathematical Applications in Computer ScienceComputer science.Machine theory.Computer scienceMathematics.Discrete mathematics.Computer Science Logic and Foundations of Programming.Formal Languages and Automata Theory.Discrete Mathematics in Computer Science.Mathematical Applications in Computer Science.004.0151Moller Faronauthttp://id.loc.gov/vocabulary/relators/aut1063670Struth Georgauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910437576603321Modelling Computing Systems2533499UNINA