Author: Olli Tammi
Publisher: Springer
ISBN: 354039012X
Category : Mathematics
Languages : en
Pages : 174
Book Description
Extremum Problems for Bounded Univalent Functions II
Author: Olli Tammi
Publisher: Springer
ISBN: 354039012X
Category : Mathematics
Languages : en
Pages : 174
Book Description
Publisher: Springer
ISBN: 354039012X
Category : Mathematics
Languages : en
Pages : 174
Book Description
Extremum Problems for Bounded Univalent Functions
Author: Olli Tammi
Publisher: Springer
ISBN: 3540358765
Category : Mathematics
Languages : en
Pages : 322
Book Description
Publisher: Springer
ISBN: 3540358765
Category : Mathematics
Languages : en
Pages : 322
Book Description
Mathematical Constants II
Author: Steven R. Finch
Publisher: Cambridge University Press
ISBN: 110860403X
Category : Mathematics
Languages : en
Pages : 783
Book Description
Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson–Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl–Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton–Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
Publisher: Cambridge University Press
ISBN: 110860403X
Category : Mathematics
Languages : en
Pages : 783
Book Description
Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson–Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl–Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton–Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
Univalent Functions
Author: P. L. Duren
Publisher: Springer Science & Business Media
ISBN: 9780387907956
Category : Mathematics
Languages : en
Pages : 416
Book Description
Publisher: Springer Science & Business Media
ISBN: 9780387907956
Category : Mathematics
Languages : en
Pages : 416
Book Description
Analytic Functions Blazejewko 1982
Author: J. Lawrynowicz
Publisher: Springer
ISBN: 3540386971
Category : Mathematics
Languages : en
Pages : 508
Book Description
Publisher: Springer
ISBN: 3540386971
Category : Mathematics
Languages : en
Pages : 508
Book Description
Handbook of Complex Analysis
Author: Reiner Kuhnau
Publisher: Elsevier
ISBN: 0080532810
Category : Mathematics
Languages : en
Pages : 549
Book Description
Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers.· A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane)
Publisher: Elsevier
ISBN: 0080532810
Category : Mathematics
Languages : en
Pages : 549
Book Description
Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers.· A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane)
Boundary Behaviour of Conformal Maps
Author: Christian Pommerenke
Publisher: Springer Science & Business Media
ISBN: 3662027704
Category : Mathematics
Languages : en
Pages : 307
Book Description
We study the boundary behaviour of a conformal map of the unit disk onto an arbitrary simply connected plane domain. A principal aim of the theory is to obtain a one-to-one correspondence between analytic properties of the function and geometrie properties of the domain. In the classical applications of conformal mapping, the domain is bounded by a piecewise smooth curve. In many recent applications however, the domain has a very bad boundary. It may have nowhere a tangent as is the case for Julia sets. Then the conformal map has many unexpected properties, for instance almost all the boundary is mapped onto almost nothing and vice versa. The book is meant for two groups of users. (1) Graduate students and others who, at various levels, want to learn about conformal mapping. Most sections contain exercises to test the understand ing. They tend to be fairly simple and only a few contain new material. Pre requisites are general real and complex analyis including the basic facts about conformal mapping (e.g. AhI66a). (2) Non-experts who want to get an idea of a particular aspect of confor mal mapping in order to find something useful for their work. Most chapters therefore begin with an overview that states some key results avoiding tech nicalities. The book is not meant as an exhaustive survey of conformal mapping. Several important aspects had to be omitted, e.g. numerical methods (see e.g.
Publisher: Springer Science & Business Media
ISBN: 3662027704
Category : Mathematics
Languages : en
Pages : 307
Book Description
We study the boundary behaviour of a conformal map of the unit disk onto an arbitrary simply connected plane domain. A principal aim of the theory is to obtain a one-to-one correspondence between analytic properties of the function and geometrie properties of the domain. In the classical applications of conformal mapping, the domain is bounded by a piecewise smooth curve. In many recent applications however, the domain has a very bad boundary. It may have nowhere a tangent as is the case for Julia sets. Then the conformal map has many unexpected properties, for instance almost all the boundary is mapped onto almost nothing and vice versa. The book is meant for two groups of users. (1) Graduate students and others who, at various levels, want to learn about conformal mapping. Most sections contain exercises to test the understand ing. They tend to be fairly simple and only a few contain new material. Pre requisites are general real and complex analyis including the basic facts about conformal mapping (e.g. AhI66a). (2) Non-experts who want to get an idea of a particular aspect of confor mal mapping in order to find something useful for their work. Most chapters therefore begin with an overview that states some key results avoiding tech nicalities. The book is not meant as an exhaustive survey of conformal mapping. Several important aspects had to be omitted, e.g. numerical methods (see e.g.
Série, Recherches Sur Les Déformations
Author:
Publisher:
ISBN:
Category : Deformations (Mechanics)
Languages : en
Pages : 898
Book Description
Publisher:
ISBN:
Category : Deformations (Mechanics)
Languages : en
Pages : 898
Book Description
U.S. Government Research Reports
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 148
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 148
Book Description
Differential Operators for Partial Differential Equations and Function Theoretic Applications
Author: K. W. Bauer
Publisher: Springer
ISBN: 3540392114
Category : Mathematics
Languages : en
Pages : 264
Book Description
Publisher: Springer
ISBN: 3540392114
Category : Mathematics
Languages : en
Pages : 264
Book Description