Synopses & Reviews
MULTIPLY your chances of understanding DISCRETE MATHEMATICSIf you're interested in learning the fundamentals of discrete mathematics but can't seem to get your brain to function, then here's your solution. Add this easy-to-follow guide to the equation and calculate how quickly you learn the essential concepts.
Written by award-winning math professor Steven Krantz, Discrete Mathematics Demystified explains this challenging topic in an effective and enlightening way. You will learn about logic, proofs, functions, matrices, sequences, series, and much more. Concise explanations, real-world examples, and worked equations make it easy to understand the material, and end-of-chapter exercises and a final exam help reinforce learning.
This fast and easy guide offers:
- Numerous figures to illustrate key concepts
- Sample problems with worked solutions
- Coverage of set theory, graph theory, and number theory
- Chapters on cryptography and Boolean algebra
- A time-saving approach to performing better on an exam or at work
Simple enough for a beginner, but challenging enough for an advanced student, Discrete Mathematics Demystified is your integral tool for mastering this complex subject.
About the Author
Steven G. Krantz (Palo Alto, CA) is a Professor of Mathematics and Deputy Director at the American Institute of Mathematics. He is an award-winning teacher, and author of the book How to Teach Mathematics. Krantz has also already authored two successful Demystified titles – Calculus Demystified and Differential Equations Demystified.
Table of Contents
Chapter 1: Logica. Sentential logicb. Truth tablesc. If-thend. And and orChapter 2: Functions and relationsa. A precise idea of functionsb. Examples of functionsc. Relationsd. Equivalence relationsChapter 3: Set theory a. The concept of setb. Relations on setsc. Combining setsd. Functions on setsChapter 4: Counting argumentsa. The pigeonhole principleb. Binomial coefficientsc. Choice functionsd. Probabilitye. ApplicationsChapter 5: Sophisticate counting ideasa. Generating functionsb. Recurrence relationsc. Number theoryd. ApplicationsChapter 6: The Concept of a Sequencea. Definition of limit of a sequenceb. Elementary properties of sequencesc. Sequences occurring in natured. Sequences arising in industrial applicationse. Sequences arising in physical contextsChapter 7: The Concept of a Seriesa. Infinite sumsb. How to sum a seriesc. Some basic seriesd. Tests for Convergencee. Examples from physicsandengineeringChapter 8: Taylor Seriesa. Powers of x b. Series of powers of x c. Approximation of functionsd. Degrees of accuracye. Examples from physicsandengineering