What Is Mathematics? (2nd ed.)

An Elementary Approach to Ideas and Methods

Courant, Richard, the late,

What Is Mathematics?: An Elementary Approach to Ideas and Methods
 
 
For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics?, Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics?, Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar--a matter of the correct application of local rules. Meaningful mathematics is like journalism--it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature--it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature--it opens a window onto the world of mathematics for anyone interested to view.


  • ;
  • ISBN:
  • Edition:
  • Title:
  • Series:
  • Author:
  • Imprint:
  • Language:

In The Press


About The Author


Customer Reviews

Verified Buyer

Read online

If you’re using a PC or Mac you can read this ebook online in a web browser, without downloading anything or installing software.

Download file formats

This ebook is available in file types:

This ebook is available in:

After you've bought this ebook, you can choose to download either the PDF version or the ePub, or both.

DRM Free

The publisher has supplied this book in DRM Free form with digital watermarking.

Required software

You can read this eBook on any device that supports DRM-free EPUB or DRM-free PDF format.

Digital Rights Management (DRM)

The publisher has supplied this book in encrypted form, which means that you need to install free software in order to unlock and read it.

Required software

To read this ebook on a mobile device (phone or tablet) you'll need to install one of these free apps:

To download and read this eBook on a PC or Mac:

  • Adobe Digital Editions (This is a free app specially developed for eBooks. It's not the same as Adobe Reader, which you probably already have on your computer.)

Limits on printing and copying

The publisher has set limits on how much of this ebook you may print or copy. See details.

  • {{ format_drm_information.format_name }} unrestricted {{ format_drm_information.format_name }} {{format_drm_information.page_percent}}% pages every day{{format_drm_information.interval}} days {{ format_drm_information.format_name }} off
Read Aloud
  • {{ read_aloud_information.format_name }} on {{ read_aloud_information.format_name }} off
Subject categories
  •  > 
ISBNs