Abstract
Gauss first introduced the notion of congruence in Disquisitiones Arithmeticae (see Notes in Chapter 1). It is an extremely simple idea. Nevertheless, its importance and usefulness in number theory cannot be exaggerated.
This chapter is devoted to an exposition of the simplest properties of congruence. In Chapter 4, we shall go into the subject in more depth.
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© 1990 Springer Science+Business Media New York
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Ireland, K., Rosen, M. (1990). Congruence. In: A Classical Introduction to Modern Number Theory. Graduate Texts in Mathematics, vol 84. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2103-4_3
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DOI: https://doi.org/10.1007/978-1-4757-2103-4_3
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3094-1
Online ISBN: 978-1-4757-2103-4
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