Comparison on calculus of real and complex numbers

Get quality term paper help at Unemployedprofessor.net. Use our paper writing services to score better and meet your deadlines. It is simple and straightforward. Whatever paper you need—we will help you write it!


Order a Similar Paper Order a Different Paper

You will do a
review on similarities and differences between Calculus of Real and Complex numbers. The
main goal of this project is to observe the main differences of calculus of complex numbers in C over the
real numbers and what advantages this differences brings to other fields of mathematics and to science.

OBJECTIVE: The aim of this objective is to compare the set of complex numbers and the set of real
numbers from algebraic structural and from geometric perspective (such as closedness,
nth-roots, ’rational’ powers, infinity as extending the number system, roots of polynomials,
…).

!!! Write a report on Objective, about 5 − 6 pages with proper citations, and on a separate
page(s) the references (only the ones used in the report), in an MS Word file.

You can use the following classical books [PS06], [GK06], [Rud87], [CB84], [MH87], [Ahl78],
[Lan99], [Nee97].

REFERENCES

[Ahl78] Lars V. Ahlfors, Complex analysis, third ed., McGraw-Hill Book Co., New York, 1978, An introduction to
the theory of analytic functions of one complex variable, International Series in Pure and Applied Mathematics.
MR 510197

[CB84] Ruel V. Churchill and James Ward and Brown, Complex variables and applications, fourth ed., McGraw-Hill
Book Co., New York, 1984. MR 730937

[GK06] Robert E. Greene and Steven G. Krantz, Function theory of one complex variable, third ed., Graduate Studies
in Mathematics, vol. 40, American Mathematical Society, Providence, RI, 2006.

[Lan99] Serge Lang, Complex analysis, fourth ed., Graduate Texts in Mathematics, vol. 103, Springer-Verlag, New
York, 1999. MR 1659317
[MH87] Jerrold E. Marsden and Michael J. Hoffman, Basic complex analysis, second ed., W. H. Freeman and Company,
New York, 1987. MR 913736

[Nee97] Tristan Needham, Visual complex analysis, The Clarendon Press, Oxford University Press, New York, 1997.
MR 1446490

[PS06] S. Ponnusamy and Herb Silverman, Complex variables with applications, Birkhauser Boston, Inc., Boston, ¨
MA, 2006.

[Rud87] Walter Rudin, Real and complex analysis, third ed., McGraw-Hill Book Co., New York, 1987.

Writerbay.net

Our affordable academic writing services save you time, which is your most valuable asset. Share your time with your loved ones as our Unemployedprofessor.net experts deliver unique, and custom-written paper for you.

Get a 15% discount on your order using the following coupon code SAVE15


Order a Similar Paper Order a Different Paper