"This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book." --MATHSCINET

Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11)

Science & Math

JOHN B. CONWAY

Mathematics

Springer

This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general.  From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS

A Course in Functional Analysis (Graduate Texts in Mathematics, Vol. 96)

Springer, Verlag

This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS

A Course in Functional Analysis (Graduate Texts in Mathematics, 96)

Operator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation theory, mathematical physics, and more. This text covers the central themes of operator theory, presented with the excellent clarity and style that readers have come to associate with Conway's writing. Early chapters introduce and review material on C*-algebras, normal operators, compact operators and non-normal operators. The topics include the spectral theorem, the functional calculus and the Fredholm index. Also, some deep connections between operator theory and analytic functions are presented. Later chapters cover more advanced topics, such as representations of C*-algebras, compact perturbations and von Neumann algebras. Major results, such as the Sz.-Nagy Dilation Theorem, the Weyl-von Neumann-Berg Theorem and the classification of von Neumann algebras, are covered, as is a treatment of Fredholm theory. These advanced topics are at the heart of current research. The last chapter gives an introduction to reflexive subspaces, i.e., subspaces of operators that are determined by their invariant subspaces. These, along with hyperreflexive spaces, are one of the more successful episodes in the modern study of asymmetric algebras. Professor Conway's authoritative treatment makes this a compelling and rigorous course text, suitable for graduate students who have had a standard course in functional analysis.

A Course in Operator Theory (Graduate Studies in Mathematics, Vol. 21)

American Mathematical Society

This book illustrates connections between various courses taken by undergraduate mathematics majors. As such it can be used as a text for a capstone course. The chapters are essentially independent, and the instructor can choose the topics that will form the course and thus tailor the syllabus to suit the backgrounds and abilities of the students. At the end of such a course the graduating seniors should glimpse mathematics not as a series of independent courses but as something more like an integrated body of knowledge. The book has numerous exercises and examples so that the student has many opportunities to see the material illustrated and fleshed out.

Mathematical Connections: A Capstone Course

This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can easily be covered in a semester. The second half of the book treats basic functional analysis and can also be covered in a semester. After the basics, it discusses linear transformations, duality, the elements of Banach algebras, and C*-algebras. It concludes with a characterization of the unitary equivalence classes of normal operators on a Hilbert space. The book is self-contained and only relies on a background in functions of a single variable and the elements of metric spaces. Following the author's belief that the best way to learn is to start with the particular and proceed to the more general, it contains numerous examples and exercises.

A Course in Abstract Analysis (Graduate Studies in Mathematics, Vol. 141) (Graduate Studies in Mathematics, 141)

Course In Operator Theory, A

Orient Blackswan

This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. The second half of the book treats basic functional analysis. After the basics, it discusses linear transformations, duality, the elements of Banach algebras, and c*-algebras. lt concludes with a characterization of the unitary equivalence classes of normal operators on a Hilbert space. The book is self-contained and only relies on a background in functions of a single valuable and the elements of metric spaces. Following the author's belief that the best way to learn is to start with the particular and proceed to the more general, it contains numerous examples and exercises.

Course In Abstract Analysis

"This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book." --MATHSCINET

Functions of One Complex Variable I (Graduate Texts in Mathematics Vol. 11)

Reference

Foreign Language Study & Reference

Springer-Verlag Berlin Heidelberg

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

Books by JOHN B. CONWAY

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

Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11)

A Course in Functional Analysis (Graduate Texts in Mathematics, Vol. 96)

A Course in Functional Analysis (Graduate Texts in Mathematics, 96)

A Course in Operator Theory (Graduate Studies in Mathematics, Vol. 21)

Mathematical Connections: A Capstone Course

A Course in Abstract Analysis (Graduate Studies in Mathematics, Vol. 141) (Graduate Studies in Mathematics, 141)

A Course in Functional Analysis (Graduate Texts in Mathematics, 96)

Course In Operator Theory, A

Course In Abstract Analysis

Functions of One Complex Variable I (Graduate Texts in Mathematics Vol. 11)