Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download ADVANCED DISCRETE MATHEMATICS PDF full book. Access full book title ADVANCED DISCRETE MATHEMATICS by UDAY SINGH RAJPUT. Download full books in PDF and EPUB format.
Author: UDAY SINGH RAJPUT Publisher: PHI Learning Pvt. Ltd. ISBN: 8120345894 Category : Mathematics Languages : en Pages : 400
Book Description
Written in an accessible style, this text provides a complete coverage of discrete mathematics and its applications at an appropriate level of rigour. The book discusses algebraic structures, mathematical logic, lattices, Boolean algebra, graph theory, automata theory, grammars and recurrence relations. It covers the important topics such as coding theory, Dijkstra’s shortest path algorithm, reverse polish notation, Warshall’s algorithm, Menger’s theorem, Turing machine, and LR(k) parsers, which form a part of the fundamental applications of discrete mathematics in computer science. In addition, Pigeonhole principle, ring homomorphism, field and integral domain, trees, network flows, languages, and recurrence relations. The text is supported with a large number of examples, worked-out problems and diagrams that help students understand the theoretical explanations. The book is intended as a text for postgraduate students of mathematics, computer science, and computer applications. In addition, it will be extremely useful for the undergraduate students of computer science and engineering.
Author: UDAY SINGH RAJPUT Publisher: PHI Learning Pvt. Ltd. ISBN: 8120345894 Category : Mathematics Languages : en Pages : 400
Book Description
Written in an accessible style, this text provides a complete coverage of discrete mathematics and its applications at an appropriate level of rigour. The book discusses algebraic structures, mathematical logic, lattices, Boolean algebra, graph theory, automata theory, grammars and recurrence relations. It covers the important topics such as coding theory, Dijkstra’s shortest path algorithm, reverse polish notation, Warshall’s algorithm, Menger’s theorem, Turing machine, and LR(k) parsers, which form a part of the fundamental applications of discrete mathematics in computer science. In addition, Pigeonhole principle, ring homomorphism, field and integral domain, trees, network flows, languages, and recurrence relations. The text is supported with a large number of examples, worked-out problems and diagrams that help students understand the theoretical explanations. The book is intended as a text for postgraduate students of mathematics, computer science, and computer applications. In addition, it will be extremely useful for the undergraduate students of computer science and engineering.
Author: Matthew Foreman Publisher: Springer Science & Business Media ISBN: 1402057644 Category : Mathematics Languages : en Pages : 2200
Book Description
Numbers imitate space, which is of such a di?erent nature —Blaise Pascal It is fair to date the study of the foundation of mathematics back to the ancient Greeks. The urge to understand and systematize the mathematics of the time led Euclid to postulate axioms in an early attempt to put geometry on a ?rm footing. With roots in the Elements, the distinctive methodology of mathematics has become proof. Inevitably two questions arise: What are proofs? and What assumptions are proofs based on? The ?rst question, traditionally an internal question of the ?eld of logic, was also wrestled with in antiquity. Aristotle gave his famous syllogistic s- tems, and the Stoics had a nascent propositional logic. This study continued with ?ts and starts, through Boethius, the Arabs and the medieval logicians in Paris and London. The early germs of logic emerged in the context of philosophy and theology. The development of analytic geometry, as exempli?ed by Descartes, ill- tratedoneofthedi?cultiesinherentinfoundingmathematics. Itisclassically phrased as the question ofhow one reconciles the arithmetic with the geom- ric. Arenumbers onetypeofthingand geometricobjectsanother? Whatare the relationships between these two types of objects? How can they interact? Discovery of new types of mathematical objects, such as imaginary numbers and, much later, formal objects such as free groups and formal power series make the problem of ?nding a common playing ?eld for all of mathematics importunate. Several pressures made foundational issues urgent in the 19th century.
Author: ANDRZEJ PIETRUSZCZAK Publisher: Wydawnictwo Naukowe Uniwersytetu Mikołaja Kopernika ISBN: 832313975X Category : Languages : en Pages : 328
Book Description
Our aim in this book is not simply to provide an introduction to the topic of mereology but also to undertake a thorough analysis of it. Hence its name: "Metamereology". Mereology arose as a theory of collective sets. It was formulated by the Polish logician Stanisław Leśniewski. Collective sets are certain wholes composed of parts. In general, the concept of a collective set can be defined with the help of the relation "is a part of" and mereology may therefore be considered as a theory of the relation of part to the whole'' (from the Greek: meros, "part'').
Author: M. Kracht Publisher: North Holland ISBN: Category : Computers Languages : en Pages : 584
Book Description
This book treats modal logic as a theory, with several subtheories, such as completeness theory, correspondence theory, duality theory and transfer theory and is intended as a course in modal logic for students who have had prior contact with modal logic and who wish to study it more deeply. It presupposes training in mathematical or logic. Very little specific knowledge is presupposed, most results which are needed are proved in this book.
Author: UDAY SINGH RAJPUT
Author: UDAY SINGH RAJPUT
Author: Matthew Foreman
Author: 
Author: 
Author: ANDRZEJ PIETRUSZCZAK
Author: M. Kracht
Author: Manuel Bodirsky
Author: 
Author: Sabine Koppelberg
Author: