complex -analysis
mathematics - arnold - complex analysis
... since lim z↓0 e 1/z = +∞, 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, ... function which is complex differentiable in a region (but without assuming it is continuously differentiable) is analytic. Goursat’s Theorem. Let G be a region and f :...
Ngày tải lên: 27/03/2014, 11:51
complex analysis
... since lim z↓0 e 1/z = +∞, 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, ... function which is complex differentiable in a region (but without assuming it is continuously differentiable) is analytic. Goursat’s Theorem. Let G be a region and f :...
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 ... holomorphic on D. Then for every closed path γ in D we have γ f(z)dz = 0. Complex Analysis Anton Deitmar Contents 1 The complex numbers 3 2 Holomorphy 7 3 Power Series 9 4 Pa...
Ngày tải lên: 27/03/2014, 11:51
g12can complex analysis
... 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 ). Some write z * instead. ... = 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 Applicatio...
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
... = 1 CHAPTER 1. COMPLEX NUMBERS 6 Formal (x, y) Algebraic: Geometric: rectangular exponential cartesian polar x + iy re iθ r θ x y zz Figure 1.4: Five ways of thinking about a complex number z ... 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, in rectangular form,...
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