Discrete Mathematics

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A01=John Taylor
A01=Rowan Garnier
advanced discrete mathematics applications
Algebraic Structures
Author_John Taylor
Author_Rowan Garnier
Binary Operation
Boolean Algebra
Boolean Expression
Boolean Function
Category=PBD
Cayley Table
combinatorics
Complete Graph
Compound Proposition
Connected Graph
Disjunctive Normal Form
Elementary Row Operations
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Eulerian Path
Full Binary Tree
Gauss Jordan Elimination
Hamiltonian Cycles
Hasse Diagram
Initial Vertex
Karnaugh Map
Left Subtree
linear equation systems
Logic
Mathematical Proof
Matrix Algebra
modular arithmetic
Multiplication Modulo
Parity Check Matrix
predicate logic
Propositional Function
Record Instances
Reduced Row Echelon Form
Row Echelon Form
RSA encryption
set theory
Sort Tree
Venn Euler Diagram

Product details

  • ISBN 9781439812808
  • Weight: 2020g
  • Dimensions: 156 x 234mm
  • Publication Date: 09 Nov 2009
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. The approach is comprehensive yet maintains an easy-to-follow progression from the basic mathematical ideas to the more sophisticated concepts examined later in the book. This edition preserves the philosophy of its predecessors while updating and revising some of the content.

New to the Third EditionIn the expanded first chapter, the text includes a new section on the formal proof of the validity of arguments in propositional logic before moving on to predicate logic. This edition also contains a new chapter on elementary number theory and congruences. This chapter explores groups that arise in modular arithmetic and RSA encryption, a widely used public key encryption scheme that enables practical and secure means of encrypting data. This third edition also offers a detailed solutions manual for qualifying instructors.

Exploring the relationship between mathematics and computer science, this text continues to provide a secure grounding in the theory of discrete mathematics and to augment the theoretical foundation with salient applications. It is designed to help readers develop the rigorous logical thinking required to adapt to the demands of the ever-evolving discipline of computer science.

Rowan Garnier was a professor of mathematics at Richmond, the American International University in London, where she served ten years as Chair of the Division of Mathematics, Science and Computer Science.

John Taylor is Head of the School of Computing, Mathematical and Information Sciences at the University of Brighton, UK. He has published widely on the applications of diagrammatic logic systems to computer science.

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