EAN: 9783030637767

LOGICAL METHODS - ROGER ANTONSEN KARTONIERT (TB)

Many believe mathematics is only about calculations  formulas  numbers  and strange letters.
But mathematics is much more than just crunching numbers or manipulating symbols. Mathematics
is about discovering patterns  uncovering hidden structures  finding counterexamples  and
thinking logically. Mathematics is a way of thinking. It is an activity that is both highly
creative and challenging. This book offers an introduction to mathematical reasoning for
beginning university or college students  providing a solid foundation for further study in
mathematics  computer science  and related disciplines. Written in a manner that directly
conveys the sense of excitement and discovery at the heart of doing science  its 25 short and
visually appealing chapters cover the basics of set theory  logic  proof methods  combinatorics
graph theory  and much more. In the book you will  among other things  find answers to: What is
a proof? What is a counterexample? What does it mean to say that something follows logically
from a set of premises? What does it mean to abstract over something? How can knowledge and
information be represented and used in calculations? What is the connection between Morse code
and Fibonacci numbers? Why could it take billions of years to solve Hanoi's Tower? Logical
Methods is especially appropriate for students encountering such concepts for the very first
time. Designed to ease the transition to a university or college level study of mathematics or
computer science  it also provides an accessible and fascinating gateway to logical thinking
for students of all disciplines.

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