Discrete Mathematics and Its Applications Global Edition, 7/e
Kenneth Rosen Kamala Krithivasan
ISBN: 0071315012 Copyright year: 2013
New to this Global Edition
Changes in the Global Edition
This adapted edition caters to the curriculum requisites of most of the international institutes
and universities. It includes a new chapter on Algebraic Structures and Coding Theory which
deals with basic properties of semigroups, monoids, groups and rings. Since coding theory is
also taught in the course on Discrete Structures in some places, especially in mathematics departments,
a section on this is added including group codes, Hamming codes, and polynomial
rings and codes.
The section on cardinality is elaborated and theory related to lattices is introduced.A note
about exponential generating functions; and some additional methods of solving recurrence
relations have been added. Additional material is given in the website and at appropriate places,
the link information is shown. In keeping with the style of the previous edition, key terms and
results, exercises, review questions, supplementary exercises, computer projects, computations
and explorations, writing projects are given in the new chapter. Exercises are added at the end
of added sections. For odd-numbered exercises, solutions have been given.
In a nutshell, the new additions incorporated in this Global Edition are the following:
Chapter 1 on The Foundations: Logic and Proofs includes a new section on normal
forms and expanded coverage of Resolution Principle with its application to Prolog. Chapter 2 on Basic Structures: Sets, Functions, Sequences, Sums, and Matrices includes
added material on Cardinality of Sets.
Chapter 8 on Advanced Counting Techniques includes a subsection on Exponential
Generating Functions and additional methods of solving recurrence relations by substitution.
A new chapter on Algebraic Structures and Coding Theory is added as Chapter 12.
Two chapters are provided at the Global Edition website. They are: Boolean Algebra and Modeling Computation
2013