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Complex function and the integral transformation
Verlag:
Machinery Industry Pub. Date :2009-6-1, 2009
ISBN 10: 7111266994
ISBN 13: 9787111266990
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paperback. Zustand: New. Ship out in 2 business day, And Fast shipping, Free Tracking number will be provided after the shipment.Pages Number: 189 Publisher: Machinery Industry Pub. Date :2009-6-1. This book is based on the latest Ministry of Education to develop the institutions of higher learning. the basic requirements of engineering mathematics teaching. speaker of the calendar year of the course handouts used self made on the basis of the preparation. This book includes: plural and complex function. analytic functions. complex function of the integral. series. residues. conformal mapping. Fourier transform and Laplace transform. This book systematically introduces complex variables and integral transformation of the basic theory. methods and applications. Book for teachers and students of engineering colleges as a textbook. can also be engaged in practical work as an engineering and technical personnel of readings. Contents: Preface Chapter 1 complex and the complex function of the concept of complex numbers 1.1.1 1.1 1.1.2 complex computing complex geometric representation of complex 1.3 1.2 Spherical and planar region complex re-spherical 1.3.2 1.3.1 1.3.3 complex plane area 1.4 curve and connected domain complex function limits and continuity of the concept of complex function 1.4.1 1.4.2 1.4.3 complex function of the limit of continuous complex function exercises an analytic function of 2.1 in Chapter 2 the concept of analytic functions 2.1.1 The derivative of complex function analytic functions and differential 2.1.2 2.2 function analysis of elementary functions necessary and sufficient conditions for 2.3 2.3.2 2.3.1 exponential power function of the number of function 2.3.3 2.3.4 Trigonometric and hyperbolic functions 2.3.5 Inverse trigonometric and inverse hyperbolic functions Problem 2 Chapter 3 complex function of the integral 3.1 The concept of integration of complex function 3.1.1 The concept of re-integration 3.1.2 3.1.3 re-integration complex nature of the calculation of 3.2 points Cauchy - the ancient Sa (Cauchy-Goursat) Theorem 3.2.1 the composite closed-Cauchy Theorem - Theorem 3.2.2 Composite closed the ancient Sa Theorem 3.3 Cauchy integral formula and higher order derivatives Equation 3.3.1 3.3.2 Cauchy integral formula 3.4-order derivative formula the original function and the original function and indefinite integral indefinite integral 3.4.1 3.4.2 Newton-Leibniz formula for analytic functions and harmonic functions 3.5 The relationship between harmonic functions conjugate 3.5.1 3.5.2 conjugate harmonic functions Method to harmonic functions of three exercises in Chapter 4 series 4.1 series plural items 4.1.2 4.1.1 plural plural items listed complex function series 4.2 series and power series term complex function key series 4.2.1 4.2. 2 radius of convergence of power series 4.2.3 4.2.4 Method to the nature of power series of operations and Taylor Theorem 4.3 Taylor Series 4.3.1. 4.3.2 Taylor expansion of commonly used functions 4.4 4.4.1 Laurent Laurent series series of concepts and convergence domain . . Chapter 5 Chapter 6 of the residue conformal mapping Fourier Transform Chapter 7 Chapter 8 Laplace Transform Appendix ReferencesFour Satisfaction guaranteed,or money back. Bestandsnummer des Verkäufers L84717
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