descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2014 English Publisher:Springer International Publishing

Authors: Peter Rosenthal; Daniel Rosenthal; David Rosenthal;

doi: 10.1007/978-3-030-00632-7_9 , 10.1007/978-3-319-05654-8_9

The Complex Numbers

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Abstract

For example, the polynomial x 2 + 1 does not have any real roots. A new number, called i, is introduced as a root of that polynomial. The complex numbers are all the numbers of the form a + bi where a and b are real numbers. It is a remarkable fact that every polynomial with real coefficients that is not a constant has a complex root. In this chapter we develop the basic properties of the complex numbers.

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St. John's University
United States
University of Toronto
Canada

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