Abstract
This chapter is devoted to some immediate consequences of the Fundamental Theorem for Cauchy Theory, Theorem 4.52, of the last chapter. Although the chapter is very short, it includes proofs of many of the implications of the Fundamental Theorem 1.1. We point out that these relatively compact proofs of a host of major theorems result from the work put in Chapter 4 and earlier chapters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2007 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Gilman, J.P., Kra, I., Rodríguez, R.E. (2007). The Cauchy Theory–Key Consequences. In: Complex Analysis. Graduate Texts in Mathematics, vol 245. Springer, New York, NY. https://doi.org/10.1007/978-0-387-74715-6_5
Download citation
DOI: https://doi.org/10.1007/978-0-387-74715-6_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-74714-9
Online ISBN: 978-0-387-74715-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)