This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings and modules."In all three parts of this book the author lives up to his reputation as a first-rate mathematical stylist. Throughout the work the clarity and precision of the presentation is not only a source of constant pleasure but will enable the neophyte to master the material here presented with dispatch and ease."—A. Rosenberg, Mathematical Reviews

Fields and Rings (Chicago Lectures in Mathematics)

Science & Math

Kaplansky, Irving

Mathematics

Univ of Chicago Pr

This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings and modules. "In all three parts of this book the author lives up to his reputation as a first-rate mathematical stylist. Throughout the work the clarity and precision of the presentation is not only a source of constant pleasure but will enable the neophyte to master the material here presented with dispatch and ease."—A. Rosenberg, Mathematical Reviews

University of Chicago Press

Fields and Rings

This volume presents lecture notes based on the author's courses on Lie algebras and the solution of Hilbert's fifth problem. In chapter 1, "Lie Algebras," the structure theory of semi-simple Lie algebras in characteristic zero is presented, following the ideas of Killing and Cartan. Chapter 2, "The Structure of Locally Compact Groups," deals with the solution of Hilbert's fifth problem given by Gleason, Montgomery, and Zipplin in 1952.

Lie Algebras and Locally Compact Groups (Chicago Lectures in Mathematics)

Commutative Rings

A prominent and influential mathematician who has received numerous awards wrote this text to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. Based on his many years of experience as an instructor the University of Chicago, author Irving Kaplansky presents a coherent overview of the correlation between these two branches of mathematics, illustrating his topics with an abundance of examples, exercises, and proofs. Suitable for both undergraduate and graduate courses.

Linear Algebra and Geometry: A Second Course (Dover Books on Mathematics)

Dover Publications

In the Introduction to this concise monograph, the author states his two main goals: first, "to make the theory of infinite abelian groups available in a convenient form to the mathematical public; second, to help students acquire some of the techniques used in modern infinite algebra." Suitable for advanced undergraduates and graduate students in mathematics, the text requires no extensive background beyond the rudiments of group theory. Starting with examples of abelian groups, the treatment explores torsion groups, Zorn's lemma, divisible groups, pure subgroups, groups of bounded order, and direct sums of cyclic groups. Subsequent chapters examine Ulm's theorem, modules and linear transformations, Banach spaces, valuation rings, torsion-free and complete modules, algebraic compactness, characteristic submodules, and the ring of endomorphisms. Many exercises appear throughout the book, along with a guide to the literature and a detailed bibliography.

Infinite Abelian Groups (Dover Books on Mathematics)

An algebraic prelude Continuity of automorphisms and derivations $C^*$-algebra axiomatics and basic results Derivations of $C^*$-algebras Homogeneous $C^*$-algebras CCR-algebras $W^*$ and $AW^*$-algebras Miscellany Mappings preserving invertible elements Nonassociativity Bibliography

Algebraic and analytic aspects of operator algebras (CBMS regional conference series in mathematics)

American Mathematical Society

Linear Algebra and Geometry: Second Course

Chelsea Pub. Co

This book is based on notes from a course on set theory and metric spaces taught by Edwin Spanier, and also incorporates with his permission numerous exercises from those notes. The volume includes an Appendix that helps bridge the gap between metric and topological spaces, a Selected Bibliography, and an Index.

Set Theory and Metric Spaces

Allyn and Bacon

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Books by Kaplansky, Irving

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

Fields and Rings (Chicago Lectures in Mathematics)

Fields and Rings (Chicago Lectures in Mathematics)

Fields and Rings

Lie Algebras and Locally Compact Groups (Chicago Lectures in Mathematics)

Commutative Rings

Linear Algebra and Geometry: A Second Course (Dover Books on Mathematics)

Infinite Abelian Groups (Dover Books on Mathematics)

Algebraic and analytic aspects of operator algebras (CBMS regional conference series in mathematics)

Linear Algebra and Geometry: Second Course

Set Theory and Metric Spaces