A Course of Modern Analysis An Introduction to the General Theory of Infinite S
A Course of Modern Analysis An Introduction to the General Theory of Infinite S
Whittaker, E. T. (Edmund Taylor), 1873-1956
The book A Course of Modern Analysis An Introduction to the General Theory of Infinite S was written by author Whittaker, E. T. (Edmund Taylor), 1873-1956 Here you can read free online of A Course of Modern Analysis An Introduction to the General Theory of Infinite S book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is A Course of Modern Analysis An Introduction to the General Theory of Infinite S a good or bad book?
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, when applied to complex numbers, do not lead to numbers of any fi-esh type ; the complex number will therefore for our purposes be taken as the most general . Type of number. The introduction of the complex number has led to many important developments in mathematics. Functions which, when real variables only * For the general theory of complex numbers, see Hankel, Thcorie der complexen Zahlen- systeme (Leipzig, 1867), and Stolz, Vorlesimgen iiber allgcmeine Arithvietik II. (Leipzig, 1886). 2..., 3] COMPLEX NUMHEKS. 5 are considered, appear as esscntiall}- distinct, are seen to be connected when complex variables are introduced : thus the circular fnnction. S are found to bo expressible in tenns of expunential functions of a complex argument, by the equations cosi»= ^ (e'"^ + e~''*), sin a' =, 7. (e'^ — e""'^). Again, many of the njost important theorems of modern analysis are not true if the quantities concerned are restricted to be real ; thus, the theorem that every algebraic equation of degree n has ;?
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