Search results for: problem-book-in-the-theory-of-functions

Problem Book in the Theory of Functions Problems in the elementary theory of functions translated by L Bers

Author : Konrad Knopp
File Size : 48.51 MB
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Problem Book in the Theory of Functions

Author : Konrad Knopp
File Size : 45.16 MB
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This single-volume edition combines 2 parts of a renowned mathematician's collection of problems. Vol. I contains more than 300 elementary problems dealing with fundamental concepts, infinite sequences and series, more. Vol. II features over 230 problems in advanced theory -- singularities, entire and meromorphic functions, periodic functions, more. Includes hints and complete solutions to all problems.

Problem Book in the Theory of Functions Problems in the advanced theory of functions translated by F Bagemihl

Author : Konrad Knopp
File Size : 78.81 MB
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Problem Book in the Theory of Functions Problems in the elementary theory of functions

Author : Konrad Knopp
File Size : 64.8 MB
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Single-volume edition of renowned collection of problems. Part 1 contains more than 300 problems dealing with fundamental concepts; part 2 has over 230 problems in advanced theory. Includes hints and full solutions to all problems.

Elements of the Theory of Functions

Author : Konrad Knopp
File Size : 76.56 MB
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Well-known book provides a clear, concise review of complex numbers and their geometric representation; linear functions and circular transformations; sets, sequences, and power series; analytic functions and conformal mapping; and elementary functions. 1952 edition.

Problems and Theorems in Analysis II

Author : George Polya
File Size : 65.11 MB
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Few mathematical books are worth translating 50 years after original publication. Polyá-Szegö is one! It was published in German in 1924, and its English edition was widely acclaimed when it appeared in 1972. In the past, more of the leading mathematicians proposed and solved problems than today. Their collection of the best in analysis is a heritage of lasting value.

Problems and Theorems in Analysis I

Author : George Polya
File Size : 87.99 MB
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From the reviews: "The work is one of the real classics of this century; it has had much influence on teaching, on research in several branches of hard analysis, particularly complex function theory, and it has been an essential indispensable source book for those seriously interested in mathematical problems." Bulletin of the American Mathematical Society

Extremal Problems of the Geometric Theory of Functions

Author : I͡U. E. Alenit͡syn
File Size : 52.92 MB
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Problems in Real and Complex Analysis

Author : Bernard R. Gelbaum
File Size : 23.5 MB
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This text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces. In complex analysis, they include polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems.

Elements of the Theory of Functions and Functional Analysis

Author : Andre? Nikolaevich Kolmogorov
File Size : 60.81 MB
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Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.

Theory of Functions on Complex Manifolds

Author : HENKIN
File Size : 69.26 MB
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Theory of Functions of a Complex Variable

Author : A. I. Markushevich
File Size : 45.28 MB
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Probability Theory Function Theory Mechanics

Author : Jurij V. Prochorov
File Size : 80.36 MB
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This is a translation of the fifth and final volume in a special cycle of publications in commemoration of the 50th anniversary of the Steklov Mathematical Institute of the Academy of Sciences in the USSR. The purpose of the special cycle was to present surveys of work on certain important trends and problems pursued at the Institute. Because the choice of the form and character of the surveys were left up to the authors, the surveys do not necessarily form a comprehensive overview, but rather represent the authors' perspectives on the important developments. The survey papers in this collection range over a variety of areas, including - probability theory and mathematical statistics, metric theory of functions, approximation of functions, descriptive set theory, spaces with an indefinite metric, group representations, mathematical problems of mechanics and spaces of functions of several real variables and some applications.

Research Problems in Function Theory

Author : Walter K. Hayman
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In 1967 Walter K. Hayman published ‘Research Problems in Function Theory’, a list of 141 problems in seven areas of function theory. In the decades following, this list was extended to include two additional areas of complex analysis, updates on progress in solving existing problems, and over 520 research problems from mathematicians worldwide. It became known as ‘Hayman's List’. This Fiftieth Anniversary Edition contains the complete ‘Hayman's List’ for the first time in book form, along with 31 new problems by leading international mathematicians. This list has directed complex analysis research for the last half-century, and the new edition will help guide future research in the subject. The book contains up-to-date information on each problem, gathered from the international mathematics community, and where possible suggests directions for further investigation. Aimed at both early career and established researchers, this book provides the key problems and results needed to progress in the most important research questions in complex analysis, and documents the developments of the past 50 years.

Problems in Probability Theory Mathematical Statistics and Theory of Random Functions

Author : A. A. Sveshnikov
File Size : 80.50 MB
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Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.

The Theory of Extremal Problems for Univalent Functions of Class S

Author : Konstantin Ivanovich Babenko
File Size : 60.47 MB
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Discusses univalent functions and extremal problems.

An Investigation of the Laws of Thought

Author : George Boole
File Size : 26.92 MB
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Geometric Function Theory in Higher Dimension

Author : Filippo Bracci
File Size : 89.37 MB
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The book collects the most relevant outcomes from the INdAM Workshop “Geometric Function Theory in Higher Dimension” held in Cortona on September 5-9, 2016. The Workshop was mainly devoted to discussions of basic open problems in the area, and this volume follows the same line. In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics. Written by experts in geometric function theory in one and several complex variables, it focuses on new research frontiers in this area and on challenging open problems. The book is intended for graduate students and researchers working in complex analysis, several complex variables and geometric function theory.

A Complex Analysis Problem Book

Author : Daniel Alpay
File Size : 72.18 MB
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This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics of interest to electrical engineering students (e.g., the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). It provides examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space), and also includes a section reviewing essential aspects of topology, functional analysis and Lebesgue integration. Benefits of the 2nd edition Rational functions are now covered in a separate chapter. Further, the section on conformal mappings has been expanded.

Theory of Function Spaces

Author : Hans Triebel
File Size : 56.52 MB
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The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where ‐∞s∞ and 0p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space Rsubn