Author: Konrad Knopp
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 136
Book Description
Problem Book in the Theory of Functions: Problems in the elementary theory of functions, translated by L. Bers
Author: Konrad Knopp
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 136
Book Description
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 136
Book Description
Problems in the elementary theory of functions, tranlated by L. Bers
Author: Konrad Knopp
Publisher:
ISBN:
Category : Functions
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category : Functions
Languages : en
Pages :
Book Description
Problem Book in the Theory of Functions: Problems in the elementary theory of functions, translated by L. Bers
Author: Konrad Knopp
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 142
Book Description
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 142
Book Description
Problem Book in the Theory of Functions: Problems in the advanced theory of functions, translated by F. Bagemihl
Author: Konrad Knopp
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 164
Book Description
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 164
Book Description
Selected Works of Lipman Bers
Author: Lipman Bers
Publisher: American Mathematical Soc.
ISBN: 9780821809969
Category : Mathematics
Languages : en
Pages : 648
Book Description
Publisher: American Mathematical Soc.
ISBN: 9780821809969
Category : Mathematics
Languages : en
Pages : 648
Book Description
Lipman Bers, a Life in Mathematics
Author: Linda Keen
Publisher: American Mathematical Soc.
ISBN: 1470420562
Category : Biography & Autobiography
Languages : en
Pages : 362
Book Description
The book is part biography and part collection of mathematical essays that gives the reader a perspective on the evolution of an interesting mathematical life. It is all about Lipman Bers, a giant in the mathematical world who lived in turbulent and exciting times. It captures the essence of his mathematics, a development and transition from applied mathematics to complex analysis--quasiconformal mappings and moduli of Riemann surfaces--and the essence of his personality, a progression from a young revolutionary refugee to an elder statesman in the world of mathematics and a fighter for global human rights and the end of political torture. The book contains autobiographical material and short reprints of his work. The main content is in the exposition of his research contributions, sometimes with novel points of view, by students, grand-students, and colleagues. The research described was fundamental to the growth of a central part of 20th century mathematics that, now in the 21st century, is in a healthy state with much current interest and activity. The addition of personal recollections, professional tributes, and photographs yields a picture of a man, his personal and professional family, and his time.
Publisher: American Mathematical Soc.
ISBN: 1470420562
Category : Biography & Autobiography
Languages : en
Pages : 362
Book Description
The book is part biography and part collection of mathematical essays that gives the reader a perspective on the evolution of an interesting mathematical life. It is all about Lipman Bers, a giant in the mathematical world who lived in turbulent and exciting times. It captures the essence of his mathematics, a development and transition from applied mathematics to complex analysis--quasiconformal mappings and moduli of Riemann surfaces--and the essence of his personality, a progression from a young revolutionary refugee to an elder statesman in the world of mathematics and a fighter for global human rights and the end of political torture. The book contains autobiographical material and short reprints of his work. The main content is in the exposition of his research contributions, sometimes with novel points of view, by students, grand-students, and colleagues. The research described was fundamental to the growth of a central part of 20th century mathematics that, now in the 21st century, is in a healthy state with much current interest and activity. The addition of personal recollections, professional tributes, and photographs yields a picture of a man, his personal and professional family, and his time.
Complex Analysis
Author: Jane P. Gilman
Publisher: Springer Science & Business Media
ISBN: 038774715X
Category : Mathematics
Languages : en
Pages : 230
Book Description
The authors’ aim here is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.
Publisher: Springer Science & Business Media
ISBN: 038774715X
Category : Mathematics
Languages : en
Pages : 230
Book Description
The authors’ aim here is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.
Complex Analysis
Author: Rubí E. Rodríguez
Publisher: Springer Science & Business Media
ISBN: 1441973230
Category : Mathematics
Languages : en
Pages : 319
Book Description
The authors’ aim here is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.
Publisher: Springer Science & Business Media
ISBN: 1441973230
Category : Mathematics
Languages : en
Pages : 319
Book Description
The authors’ aim here is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.
Theory of Functions
Author: K. Knopp
Publisher:
ISBN: 9780486601588
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9780486601588
Category :
Languages : en
Pages :
Book Description
Solution of Initial Value Problems in Classes of Generalized Analytic Functions
Author: Wolfgang Tutschke
Publisher: Springer Science & Business Media
ISBN: 3662099438
Category : Mathematics
Languages : en
Pages : 189
Book Description
The purpose of the present book is to solve initial value problems in classes of generalized analytic functions as well as to explain the functional-analytic background material in detail. From the point of view of the theory of partial differential equations the book is intend ed to generalize the classicalCauchy-Kovalevskayatheorem, whereas the functional-analytic background connected with the method of successive approximations and the contraction-mapping principle leads to the con cept of so-called scales of Banach spaces: 1. The method of successive approximations allows to solve the initial value problem du CTf = f(t,u), (0. 1) u(O) = u , (0. 2) 0 where u = u(t) ist real o. r vector-valued. It is well-known that this method is also applicable if the function u belongs to a Banach space. A completely new situation arises if the right-hand side f(t,u) of the differential equation (0. 1) depends on a certain derivative Du of the sought function, i. e. , the differential equation (0,1) is replaced by the more general differential equation du dt = f(t,u,Du), (0. 3) There are diff. erential equations of type (0. 3) with smooth right-hand sides not possessing any solution to say nothing about the solvability of the initial value problem (0,3), (0,2), Assume, for instance, that the unknown function denoted by w is complex-valued and depends not only on the real variable t that can be interpreted as time but also on spacelike variables x and y, Then the differential equation (0.
Publisher: Springer Science & Business Media
ISBN: 3662099438
Category : Mathematics
Languages : en
Pages : 189
Book Description
The purpose of the present book is to solve initial value problems in classes of generalized analytic functions as well as to explain the functional-analytic background material in detail. From the point of view of the theory of partial differential equations the book is intend ed to generalize the classicalCauchy-Kovalevskayatheorem, whereas the functional-analytic background connected with the method of successive approximations and the contraction-mapping principle leads to the con cept of so-called scales of Banach spaces: 1. The method of successive approximations allows to solve the initial value problem du CTf = f(t,u), (0. 1) u(O) = u , (0. 2) 0 where u = u(t) ist real o. r vector-valued. It is well-known that this method is also applicable if the function u belongs to a Banach space. A completely new situation arises if the right-hand side f(t,u) of the differential equation (0. 1) depends on a certain derivative Du of the sought function, i. e. , the differential equation (0,1) is replaced by the more general differential equation du dt = f(t,u,Du), (0. 3) There are diff. erential equations of type (0. 3) with smooth right-hand sides not possessing any solution to say nothing about the solvability of the initial value problem (0,3), (0,2), Assume, for instance, that the unknown function denoted by w is complex-valued and depends not only on the real variable t that can be interpreted as time but also on spacelike variables x and y, Then the differential equation (0.