Introduction to Analytic Functions

This textbook provides a rigorous introduction to complex analysis, serving as an expanded version of the author’s earlier work on complex variables. It focuses on the logical structure of analytic function theory, covering essential topics such as the Cauchy-Riemann equations, residues, conformal mapping, and analytic continuation. Designed for students in mathematics and engineering, the te…

The Open Mapping and Closed Graph Theorems in Topological Vector Spaces

This monograph provides a specialized and rigorous study of three central results in functional analysis: the Open Mapping Theorem, the Closed Graph Theorem, and the Krein-Smulian Theorem. Husain explores these fundamental principles within the broad framework of topological vector spaces, moving beyond the classical Banach space settings to more general environments like B-complete and semi-re…

An Introduction to Complex Analysis in Several Variables

The text explores how the theory of analytic functions changes when moving from one complex variable to several. Unlike one-variable analysis, where functions can be extended to any domain, several variables introduce "domains of holomorphy"—specific regions where functions cannot be extended further.

Numerical Initial Value Problems in Ordinary Differential Equations

This classic textbook, part of the Prentice-Hall Series in Automatic Computation, provides a rigorous foundation for the numerical analysis of ordinary differential equations (ODEs). It is particularly well-known for its systematic treatment of multi-step methods and its groundbreaking approach to "stiff" differential equations—problems where solutions vary on significantly different time sca…

پێشەوای رابوون

Edition

1

ISBN/ISSN

-

Collation

-

Series Title

کتێبە کوردییەکان

Call Number

51-ک

سیاسەت وچارەنووس

Edition

1

ISBN/ISSN

-

Collation

-

Series Title

کتێبە کوردییەکان

Call Number

55-ک

Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields

This monograph explores the deep connections between algebraic number theory and group theory, specifically focusing on the structure of Galois groups and their central extensions. Fröhlich investigates how these extensions relate to the ideal class groups of algebraic number fields, providing a systematic treatment of the "genus field" and "central class field" concepts. It is a specialized r…

Functions of Several Variables

This textbook provides a rigorous introduction to multivariable calculus and mathematical analysis. It moves beyond elementary techniques to explore the theoretical foundations of differentiable manifolds, exterior algebra, and differential forms. Fleming emphasizes a modern approach to the subject, utilizing linear algebra to generalize classical theorems like Stokes' theorem and the Inverse F…

The Fundamentals of Mathematical Analysis, Volume I

Originally a prominent Soviet textbook, this English translation provides a systematic and rigorous introduction to the foundations of mathematical analysis. Volume I focuses on the theory of limits as the central building block for calculus, establishing the properties of real numbers and functions of one and several variables. It provides a detailed account of differential and integral calcul…

Protozoa

This book provides a detailed scientific overview of protozoa, a diverse group of single-celled eukaryotic organisms. It covers their morphology, physiology, classification, and ecological significance. The authors explore protozoan life cycles, reproduction, and their roles in both natural ecosystems and human health, including pathogenic species. The work is primarily intended for researchers…