Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. The introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Supplementary material and exercises appear throughout the text. 1975 edition.

Analysis in Euclidean Space

Science & Math

Kenneth Hoffman

Mathematics

PRENTICE/HALL

Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of n dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings concludes the text, addressing implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a bibliography, list of symbols, index, and appendix with background in elementary set theory

Analysis in Euclidean Space (Dover Books on Mathematics)

Dover Publications

A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc. The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of analytic functions in the unit disc, including generalizations to Dirichlet algebras. The fifth chapter contains the factorization theory of Hp functions, a discussion of some partial extensions of the factorization, and a brief description of the classical approach to the theorems of the first five chapters. The remainder of the book addresses the structure of various Banach spaces and Banach algebras of analytic functions in the unit disc. Enhanced with 100 challenging exercises, a bibliography, and an index, this text belongs in the libraries of students, professional mathematicians, as well as anyone interested in a rigorous, high-level treatment of this topic.

Banach Spaces of Analytic Functions (Dover Books on Mathematics)

Calculus In Context: The Five College Calculus Project

James Callahan

New book, limited stock,for prompt shipping choose expedite shipping, standard shipping 18-20 days, shippment from india

Linear Algebra

Ray Kunze

Pearson Education (singapore) Pte Ltd

See the best price to sell, buy, or rent books by Kenneth Hoffman. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Kenneth Hoffman

See the best price to sell, buy, or rent books by Kenneth Hoffman. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Analysis in Euclidean Space

Analysis in Euclidean Space (Dover Books on Mathematics)

Banach Spaces of Analytic Functions (Dover Books on Mathematics)

Calculus In Context: The Five College Calculus Project

Linear Algebra

Linear Algebra