Atnaujinkite slapukų nuostatas

Schaum's Outline of Complex Variables, 2ed 2nd edition [Minkštas viršelis]

3.75/5 (182 ratings by Goodreads)
, , ,
  • Formatas: Paperback / softback, 384 pages, aukštis x plotis x storis: 277x206x18 mm, weight: 867 g, 0 Illustrations
  • Išleidimo metai: 16-Jul-2009
  • Leidėjas: Schaum Outline Series
  • ISBN-10: 0071615695
  • ISBN-13: 9780071615693
Kitos knygos pagal šią temą:
Schaum's Outline of Complex Variables, 2ed 2nd editionDidesnis paveikslėlis
  • Formatas: Paperback / softback, 384 pages, aukštis x plotis x storis: 277x206x18 mm, weight: 867 g, 0 Illustrations
  • Išleidimo metai: 16-Jul-2009
  • Leidėjas: Schaum Outline Series
  • ISBN-10: 0071615695
  • ISBN-13: 9780071615693
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9780071615693.html
Raktažodžiai:

The guide that helps students study faster, learn better, and get top grades

..

More than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's is better than ever-with a new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study.

..

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!

..

Schaum's Outlines-Problem Solved.

.
Complex Numbers
1(40)
The Real Number System
Graphical Representation of Real Numbers
The Complex Number System
Fundamental Operations with Complex Numbers
Absolute Value
Axiomatic Foundation of the Complex Number System
Graphical Representation of Complex Numbers
Polar Form of Complex Numbers
De Moivre's Theorem
Roots of Complex Numbers
Euler's Formula
Polynomial Equations
The nth Roots of Unity
Vector Interpretation of Complex Numbers
Stereographic Projection
Dot and Cross Product
Complex Conjugate Coordinates
Point Sets
Functions, Limits, and Continuity
41(36)
Variables and Functions
Single and Multiple-Valued Functions
Inverse Functions
Transformations
Curvilinear Coordinates
The Elementary Functions
Branch Points and Branch Lines
Riemann Surfaces
Limits
Theroems on Limits
Infinity
Continuity
Theorems on Continuity
Uniform Continuity
Sequences
Limit of a Sequence
Theorems on Limits of Sequences
Infinite Series
Complex Differentiation and the Cauchy-Riemann Equations
77(34)
Derivatives
Analytic Functions
Cauchy-Riemann Equations
Harmonic Functions
Geometric Interpretation of the Derivative
Differentials
Rules for Differentiation
Derivatives of Elementary Functions
Higher Order Derivatives
L'Hospital's Rule
Singular Points
Orthogonal Families
Curves
Applications to Geometry and Mechanics
Complex Differential Operators
Gradient, Divergence, Curl, and Laplacian
Complex Integration and Cauchy's Theorem
111(33)
Complex Line Integrals
Real Line Integrals
Connection Between Real and Complex Line Integrals
Properties of Integrals
Change of Variables
Simply and Multiply Connected Regions
Jordan Curve Theorem
Convention Regarding Traversal of a Closed Path
Green's Theorem in the Plane
Complex Form of Green's Theorem
Cauchy's Theorem. The Cauchy-Goursat Theorem
Morera's Theorem
Indefinite Integrals
Integrals of Special Functions
Some Consequences of Cauchy's Theorem
Cauchy's Integral Formulas and Related Theorems
144(25)
Cauchy's Integral Formulas
Some Important Theorems
Infinite Series Taylor's and Laurent's Series
169(36)
Sequences of Functions
Series of Functions
Absolute Convergence
Uniform Convergence of Sequences and Series
Power Series
Some Important Theorems
Taylor's Theorem
Some Special Series
Laurent's Theorem
Classification of Singularities
Entire Functions
Meromorphic Functions
Lagrange's Expansion
Analytic Continuation
The Residue Theorem Evaluation of Integrals and Series
205(37)
Residues
Calculation of Residues
The Residue Theorem
Evaluation of Definite Integrals
Special Theorems Used in Evaluating Integrals
The Cauchy Principal Value of Integrals
Differentiation Under the Integral Sign. Leibnitz's Rule
Summation of Series
Mittag-Leffler's Expansion Theorem
Some Special Expansions
Conformal Mapping
242(38)
Transformations or Mappings
Jacobian of a Transformation
Complex Mapping Functions
Conformal Mapping
Riemann's Mapping Theorem
Fixed or Invariant Points of a Transformation
Some General Transformations
Successive Transformations
The Linear Transformation
The Bilinear or Fractional Transformation
Mapping of a Half Plane onto a Circle
The Schwarz-Christoffel Transformation
Transformations of Boundaries in Parametric Form
Some Special Mappings
Physical Applications of Conformal Mapping
280(39)
Boundary Value Problems
Harmonic and Conjugate Functions
Dirichlet and Neumann Problems
The Dirichlet Problem for the Unit Circle. Poisson's Formula
The Dirichlet Problem for the Half Plane
Solutions to Dirichlet and Neumann Problems by Conformal Mapping Applications to Fluid Flow
Basic Assumptions
The Complex Potential
Equipotential Lines and Streamlines
Sources and Sinks
Some Special Flows
Flow Around Obstacles
Bernoulli's Theorem
Theorems of Blasius Applications to Electrostatics
Coulomb's Law
Electric Field Intensity. Electrostatic Potential
Gauss' Theorem
The Complex Electrostatic Potential
Line Charges
Conductors
Capacitance Applications to Heat Flow
Heat Flux
The Complex Temperature
Special Topics
319(50)
Analytic Continuation
Schwarz's Reflection Principle
Infinite Products
Absolute, Conditional and Uniform Convergence of Infinite Products
Some Important Theorems on Infinite Products
Weierstrass' Theorem for Infinite Products
Some Special Infinite Products
The Gamma Function
Properties of the Gamma Function
The Beta Function
Differential Equations
Solution of Differential Equations by Contour Integrals
Bessel Functions
Legendre Functions
The Hypergeometric Function
The Zeta Function
Asymptotic Series
The Method of Steepest Descents
Special Asymptotic Expansions
Elliptic Functions
Index 369
The Late MURRAY R. SPIEGEl received the M.S degree in Physics and the Ph.D. in Mathematics from Cornell University. He had positions at Harvard University, Columbia University, Oak Ridge and Rensselaer Polytechnic Insitute, and served as a mathematical consultant at several large Companies. His last Position was professor and Chairman of mathematics at the Rensselaer Polytechnic Institute Hartford Graduate Center. He was interested in most branches of mathematics at the Rensselaer polytechnic Institute, Hartford Graduate Center. He was interested in most branches of mathematics, especially those which involve applications to physics and engineering problems. He was the author of numerous journal articles and 14 books on various topics in mathematics.





He is a Ph.D and a Professor of Mathematics in Temple University





John J. Schiller, is an Associate Professor of Mathematics at Temple University. He received his Ph.D. at the University of Pennsylvania and has published research papers in the areas of Riemann surfaces, discrete mathematics biology. He has also coauthored texts in finite mathematics, precalculus, and calculus.