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Logical Methods

The Art of Thinking Abstractly and Mathematically

Authors: Antonsen, Roger

  • Provides a solid foundation for beginning students in mathematics or computer science
  • Introduces the basics of set theory, logic, mathematical proofs, combinatorics, graph theory, and much more, in a clear and understandable way
  • Contains many colorful figures and illustrations, as well as hundreds of exercises
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Buy this book

Softcover $49.99
price for USA in USD
  • ISBN 978-3-030-63776-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this Textbook

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.

About the authors

Roger Antonsen is Associate Professor in the Department of Informatics at the University of Oslo, where he has taught Logical Methods to thousands of students since 2010. He is a logician, mathematician, computer scientist, author, public speaker, science communicator, and artist. His interests range from proof theory, cellular automata, algorithms, and complexity to science communication, outreach, digital art, and visualizations.

To see Roger in action as a science communicator, watch his TED Talk:
ted.com/speakers/roger_antonsen    


Buy this book

Softcover $49.99
price for USA in USD
  • ISBN 978-3-030-63776-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Logical Methods
Book Subtitle
The Art of Thinking Abstractly and Mathematically
Authors
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
Softcover ISBN
978-3-030-63776-7
Edition Number
1
Number of Pages
XIV, 288
Additional Information
Original Norwegian edition published by Universitetsforlaget, Oslo, Norway
Topics