discrete mathematics with graph theory 3rd edition pdf free download

Perhaps the best way to summarize the subject matter of this book is to say that discrete mathematics is the study of problems associated with the natural numbers. that play a fundamental role, and it is functions with domain the natural numbers that are often studied. Instead of the real numbers, it is the natural numbers 1, 2, 3. Mathematicians view it as the opposite of 'continuous.' Whereas, in calculus, it is continuous functions of a real variable that are important, such functions are of relatively little interest in discrete mathematics. The word 'discrete' means separate or distinct. It is our hope that our enthusiasm for mathematics and, in particular, for discrete mathematics is transmitted to our readers through our writing. We are active mathematicians who have always enjoyed solving problems.

So, in a sense, there is a free Student Solutions Manual at the end of this text. Those which do are marked BB for ' Back of Book.' In this book, complete solutions, not simply answers, are given to almost all the exercises marked BB. So we begin by answering the question most frequently asked by the readers of our manuscript: 'What does BB mean?' Like most undergraduate texts in mathematics these days, answers to some of our exercises appear at the back of the book.

Full solutions to Pauses are included at the end of each section. More than 150 Pauses short questions inserted at strategic points are included. Full solutions are provided in the back of the book. More than 200 worked examples and problems, as well as over 2500 exercises are included. Above all, the book is designed to engage today's readers in the interesting, applicable facets of modern mathematics. Examples and exercises integrated throughout each chapter serve to pique reader interest and bring clarity to even the most complex concepts. Adopting a user-friendly, conversational and at times humorous style, these authors make the principles and practices of discrete mathematics as stimulating as possible while presenting comprehensive, rigorous coverage.

Discrete mathematics with graph theory 3rd edition pdf free download