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
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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 ;?
What to read after A Course of Modern Analysis An Introduction to the General Theory of Infinite S?
You can find similar books in the "Read Also" column, or choose other free books by Whittaker, E. T. (Edmund Taylor), 1873-1956 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
, 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 ;?
What to read after A Course of Modern Analysis An Introduction to the General Theory of Infinite S?
You can find similar books in the "Read Also" column, or choose other free books by Whittaker, E. T. (Edmund Taylor), 1873-1956 to read onlineMoreLess
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