Elementary Real and Complex Analysis

Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 9780486689227
Category : Mathematics
Languages : en
Pages : 548

Book Description
Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.

Real and Complex Analysis

Author: Rajnikant Sinha
Publisher: Springer
ISBN: 9811309388
Category : Mathematics
Languages : en
Pages : 645

Book Description
This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into three chapters, it discusses exponential and measurable functions, Riesz representation theorem, Borel and Lebesgue measure, -spaces, Riesz–Fischer theorem, Vitali–Caratheodory theorem, the Fubini theorem, and Fourier transforms. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries.

Complex Analysis with Applications

Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 9780486647623
Category : Mathematics
Languages : en
Pages : 308

Book Description
The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.

Elementary Functional Analysis

Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 0486318680
Category : Mathematics
Languages : en
Pages : 354

Book Description
Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.

Real and Complex Analysis

Author: Rajnikant Sinha
Publisher: Springer
ISBN: 9811328862
Category : Mathematics
Languages : en
Pages : 688

Book Description
This is the second volume of the two-volume book on real and complex analysis. This volume is an introduction to the theory of holomorphic functions. Multivalued functions and branches have been dealt carefully with the application of the machinery of complex measures and power series. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into four chapters, it discusses holomorphic functions and harmonic functions, Schwarz reflection principle, infinite product and the Riemann mapping theorem, analytic continuation, monodromy theorem, prime number theorem, and Picard’s little theorem. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries.

Elementary Theory of Analytic Functions of One or Several Complex Variables

Author: Henri Cartan
Publisher: Courier Corporation
ISBN: 0486318672
Category : Mathematics
Languages : en
Pages : 242

Book Description
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.

Introductory Complex Analysis

Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 0486318524
Category : Mathematics
Languages : en
Pages : 402

Book Description
Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.

Introduction to Real Analysis

Author: Michael J. Schramm
Publisher: Courier Corporation
ISBN: 0486131920
Category : Mathematics
Languages : en
Pages : 386

Book Description
This text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.

Problems in Real and Complex Analysis

Author: Bernard R. Gelbaum
Publisher: Springer Science & Business Media
ISBN: 1461209250
Category : Mathematics
Languages : en
Pages : 490

Book Description
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.

Elementary Analysis

Author: Kenneth A. Ross
Publisher: CUP Archive
ISBN:
Category : Mathematics
Languages : en
Pages : 192

Book Description