Skip to main content Accessibility help
Calculus for the Ambitious

Book description

From the author of The Pleasures of Counting and Naïve Decision Making comes a calculus book perfect for self-study. It will open up the ideas of the calculus for any 16- to 18-year-old, about to begin studies in mathematics, and will be useful for anyone who would like to see a different account of the calculus from that given in the standard texts. In a lively and easy-to-read style, Professor Körner uses approximation and estimates in a way that will easily merge into the standard development of analysis. By using Taylor's theorem with error bounds he is able to discuss topics that are rarely covered at this introductory level. This book describes important and interesting ideas in a way that will enthuse a new generation of mathematicians.

Refine List
Actions for selected content:
Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Send to Kindle
  • Send to Dropbox
  • Send to Google Drive
  • Send content to

    To send content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to .

    To send content items to your Kindle, first ensure is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle.

    Note you can select to send to either the or variations. ‘’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

    Find out more about the Kindle Personal Document Service.

    Please be advised that item(s) you selected are not available.
    You are about to send

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Further reading
[1] J. C., Burkill. A First Course in Mathematical Analysis. Cambridge University Press, Cambridge, 1962.
[2] R., Courant and H., Robbins. What is Mathematics?Oxford University Press, Oxford, 1941. OUP has issued this book in various forms including a second edition with an extra chapter by Ian Stewart discussing later developments.
[3] P. R., Halmos. Naive Set Theory. Van Nostrand, Princeton, 1960. The later publishing history is complicated, but the book is available in many libraries and is usually in print.
[4] F., Klein. Elementary Mathematics from an Advanced Standpoint (Part 1). Macmillan, New York, 1932. Third edition. Translated by E. R. Hedrick and C. A. Hedrick. There is a Dover reprint.
[5] A. E., Maxwell. An Analytical Calculus, volume 1. Cambridge University Press, Cambridge, 1957. There are three further volumes covering successively more advanced topics.
[6] M., Spivak. Calculus. Cambridge University Press, Cambridge, third edition, 1994.
[7] S. P., Thompson. Calculus Made Easy. Macmillan, London, second edition, 1914. There are several editions revised by various hands. The revisions are not always happy. The 1914 edition is available from Project Gutenberg.


Altmetric attention score

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed