complex analysis
mathematics - arnold - complex analysis
... +∞, lim z↑0 e 1/z = 0. COMPLEX ANALYSIS 1 Douglas N. Arnold 2 References: John B. Conway, Functions of One Complex Variable, Springer-Verlag, 1978. Lars V. Ahlfors, Complex Analysis, McGraw-Hill, ... Ahlfors, Complex Analysis, McGraw-Hill, 1966. Raghavan Narasimhan, Complex Analysis in One Variable, Birkh¨auser, 1985. CONTENTS I. The Complex Number System . . . . . . . . . ....
Ngày tải lên: 27/03/2014, 11:51
complex analysis
... +∞, lim z↑0 e 1/z = 0. COMPLEX ANALYSIS 1 Douglas N. Arnold 2 References: John B. Conway, Functions of One Complex Variable, Springer-Verlag, 1978. Lars V. Ahlfors, Complex Analysis, McGraw-Hill, ... Ahlfors, Complex Analysis, McGraw-Hill, 1966. Raghavan Narasimhan, Complex Analysis in One Variable, Birkh¨auser, 1985. CONTENTS I. The Complex Number System . . . . . . . . . ....
Ngày tải lên: 27/03/2014, 11:51
complex -analysis
... is connected iff it is path connected. COMPLEX ANALYSIS 16 Proposition 4.6 Let f : D → C be holomorphic where D is a region. If f = 0, then f is constant. COMPLEX ANALYSIS 17 5 Cauchy’s Theorem Proposition ... D that has a limit point in D, then f = g. COMPLEX ANALYSIS 2 12 The upper half plane 47 13 Conformal mappings 50 14 Simple connectedness 53 COMPLEX ANALYSIS 30 Theorem...
Ngày tải lên: 27/03/2014, 11:51
g12can complex analysis
... = η ( z ), η ( z ) → 0 as z → z * . G12CAN Complex Analysis Books: Schaum Outline book on Complex Variables (by M. Spiegel), or Churchill and Brown, Complex Analysis and Applications. There should ... points (0, y), and the y axis becomes the IMAGINARY axis. The complex conjugate The complex conjugate of the complex number z is the complex number z = Re( z ) − i Im( z ). Som...
Ngày tải lên: 27/03/2014, 11:51
real hypersurfaces and complex analysis
... to focus on functions of several complex variables as the generalization of func- tions of one complex variable. The other was to consider a function of one complex variable as a map of a domain ... of R 2n with C n . We call M a real hypersurface of the complex space C n to dis- tinguish it from a complex hypersurface, that is, a complex n − 1 dimensional submanifold of C n ....
Ngày tải lên: 27/03/2014, 11:52
A First Course in Complex Analysis pptx
... our students, complex analysis is their first rigorous analysis (if not mathematics) class they take, and these notes reflect this very much. We tried to rely on as few concepts from real analysis as possible. ... the rectangular form, the right-hand side the polar form of this complex number. We now have five different ways of thinking about a complex number: the formal definition, i...
Ngày tải lên: 31/03/2014, 12:20
complex analysis - cain
... Contents Chapter One - Complex Numbers 1.1 Introduction 1.2 Geometry 1.3 Polar coordinates Chapter Two - Complex Functions 2.1 Functions of a real variable 2.2 Functions of a complex variable ... in case 0. 2.2 Functions of a complex variable. The real excitement begins when we consider function f : D C in which the domain D is a subset of the complex numbers. In some se...
Ngày tải lên: 31/03/2014, 15:12