Sterling K. Berberian's Books

Fundamentals of Real Analysis

By: Sterling K. Berberian

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This book is very well organized and clearly written and contains an adequate supply of exercises. If one is comfortable with the choice of topics in the book, it would be a good candidate for a text in a graduate real analysis course." -- MATHEMATICAL REVIEWS

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504

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Springer Science & Business Media

Published Date

ISBN 10

0387984801

ISBN 13

9780387984803

A First Course in Real Analysis

By: Sterling K. Berberian

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A First Course in Real Analysis

By: Sterling K. Berberian

Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the "Fundamental Theorem"), and, along the way, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done.

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Page Count

249

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441985484

ISBN 13

9781441985484

Linear Algebra

By: Sterling K. Berberian

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Linear Algebra

By: Sterling K. Berberian

Introductory treatment covers basic theory of vector spaces and linear maps — dimension, determinants, eigenvalues, and eigenvectors — plus more advanced topics such as the study of canonical forms for matrices. 1992 edition.

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388

Publisher

Courier Corporation

Published Date

ISBN 10

0486780554

ISBN 13

9780486780559

Baer *-Rings

By: Sterling K. Berberian

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Baer *-Rings

By: Sterling K. Berberian

A systematic exposition of Baer *-Rings, with emphasis on the ring-theoretic and lattice-theoretic foundations of von Neumann algebras. Equivalence of projections, decompositio into types; connections with AW*-algebras, *-regular rings, continuous geometries. Special topics include the theory of finite Baer *-rings (dimension theory, reduction theory, embedding in *-regular rings) and matrix rings over Baer *-rings. Written to be used as a textbook as well as a reference, the book includes more than 400 exercises, accompanied by notes, hints, and references to the literature. Errata and comments from the author have been added at the end of the present reprint (2nd printing 2010).

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309

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642150713

ISBN 13

9783642150715

Introduction to Hilbert Space

By: Sterling K. Berberian

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Introduction to Hilbert Space

By: Sterling K. Berberian

From the Preface: ``This textbook has evolved from a set of lecture notes ... In both the course and the book, I have in mind first- or second-year graduate students in Mathematics and related fields such as Physics ... It is necessary for the reader to have a foundation in advanced calculus which includes familiarity with: least upper bound (LUB) and greatest lower bound (GLB), the concept of function, $\epsilon$'s and their companion $\delta$'s, and basic properties of sequences of real and complex numbers (convergence, Cauchy's criterion, the Weierstrass-Bolzano theorem). It is not presupposed that the reader is acquainted with vector spaces ... , matrices ... , or determinants ... There are over four hundred exercises, most of them easy ... It is my hope that this book, aside from being an exposition of certain basic material on Hilbert space, may also serve as an introduction to other areas of functional analysis.

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Page Count

226

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821819127

ISBN 13

9780821819128

Linear Algebra

By: Sterling K. Berberian

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Linear Algebra

By: Sterling K. Berberian

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Page Count

388

Publisher

Courier Corporation

Published Date

ISBN 10

0486795039

ISBN 13

9780486795034

Book's by Sterling K. Berberian

Fundamentals of Real Analysis

Fundamentals of Real Analysis

A First Course in Real Analysis

A First Course in Real Analysis

Linear Algebra

Linear Algebra

Baer *-Rings

Baer *-Rings

Introduction to Hilbert Space

Introduction to Hilbert Space

Linear Algebra

Linear Algebra

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