Ioan James introduces and profiles sixty mathematicians from the era when mathematics was freed from its classical origins to develop into its modern form. The subjects, all born between 1700 and 1910, come from a wide range of countries, and all made important contributions to mathematics, through their ideas, their teaching, and their influence. James emphasizes their varied life stories, not the details of their mathematical achievements. The book is organized chronologically into ten chapters, each of which contains biographical sketches of six mathematicians. The men and women James has chosen to portray are representative of the history of mathematics, such that their stories, when read in sequence, convey in human terms something of the way in which mathematics developed. Ioan James is a professor at the Mathematical Institute, University of Oxford. He is the author of Topological Topics (Cambridge, 1983), Fibrewise Topology (Cambridge, 1989), Introduction to Uniform Spaces (Cambridge, 1990), Topological and Uniform Spaces (Springer-Verlag New York, 1999), and co-author with Michael C. Crabb of Fibrewise Homotopy Theory (Springer-Verlag New York, 1998). James is the former editor of the London Mathematical Society Lecture Note Series and volume editor of numerous books. He is the organizer of the Oxford Series of Topology symposia and other conferences, and co-chairman of the Task Force for Mathematical Sciences of Campaign for Oxford.

Remarkable Mathematicians: From Euler to von Neumann (The Spectrum Series)

Biographies & Memoirs

James, Ioan

Professionals & Academics

American Mathematical Society

Flatland: An Edition with Notes and Commentary (Spectrum)

Flatland, Edwin Abbott Abbott's story of a two-dimensional universe, as told by one of its inhabitants who is introduced to the mysteries of three-dimensional space, has enjoyed an enduring popularity from the time of its publication in 1884. This fully annotated edition enables the modern-day reader to understand and appreciate the many "dimensions" of this classic satire. Mathematical notes and illustrations enhance the usefulness of Flatland as an elementary introduction to higher-dimensional geometry. Historical notes show connections to late-Victorian England and to classical Greece. Citations from Abbott's other writings as well as the works of Plato and Aristotle serve to interpret the text. Commentary on language and literary style includes numerous definitions of obscure words. An appendix gives a comprehensive account of the life and work of Flatland's remarkable author.

Literature & Fiction

Banchoff, Thomas F.

Abbott, Edwin A.

Lindgren, William F.

United States

Learn to apply abstract algebra to practical real-world problems with TOPICS IN APPLIED ABSTRACT ALGEBRA! With coverage of interesting applications such as designing block designs to conduct statistical experiments for unbiased study of samples and designing secret-key cryptosystems and public-key cryptosystems for secure transmission of sensitive or secret data, this mathematics text makes the study of abstract algebra more exciting and meaningful. The opening chapter provides a brief refresher on the basic algebraic systems so that you are fully prepared to learn.

Topics in Applied Abstract Algebra (Brooks/Cole Series in Advanced Mathematics)

Science & Math

S. R. Nagpaul and S. K. Jain

Mathematics

Learn abstract algebra the easy way with CONCEPTS IN ABSTRACT ALGEBRA! This mathematics text shows you how mathematics proceeds, how to use techniques that mathematicians actually employ, and the art of constructing mathematical arguments. Extensive discussions, examples, repetition, development in nontrivial contexts, and exercises help you learn definitions and results. Examples show you how elementary material is developed and give you a template for writing your own arguments.

Concepts in Abstract Algebra

Charles Lanski

First Steps for Math Olympians: Using the American Mathematics Competitions (Problem Books) (MAA Problem Book Series)

Faires, J.Douglas

This book contains the collected works of A. Adrian Albert, a leading algebraist of the twentieth century. Albert made many important contributions to the theory of the Brauer group and central simple algebras, Riemann matrices, nonassociative algebras, and other topics. Part 1 focuses on associative algebras and Riemann matrices, and Part 2 on nonassociative algebras and miscellany. Because much of Albert's work remains of vital interest in contemporary research, this volume will interest mathematicians in a variety of areas.

A. Adrian Albert Collected Mathematical Papers, Pt. 1 & Pt. 2 (Collected Works)

Richard E. Block

Earth Sciences

This book contains the collected works of A. Adrian Albert, a leading algebraist of the twentieth century. Albert made many important contributions to the theory of the Brauer group and central simple algeras, Riemann matrices, nonassociative algebras and other topics. Part 1 focuses on associative algebras and Riemann matrices part 2 on nonassociative algebras and miscellany. Because much of Albert's work remains of vital interest in contemporary research, this volume will interst mathematicians in a variety of areas.

A. Adrian Albert Collected Mathematical Papers: Associative Algebras and Riemann Matrices

Richard E. Block, Nathan Jacobson, J. Marshall Osborn, David J. Saltman, and Daniel Zelinsky

A. Adrian Albert Collected Mathematical Papers: Nonassociative Algebras and Miscellany

This book contains papers of the outstanding and versatile mathematician, Witold Hurewicz. Preceding the collection are introductory articles describing Hurewicz's contributions to Borel sets, dimension theory, and algebraic topology. Hurewicz first studied set theory and dimension, and his papers on this topic are especially clear and precise, making them accessible to beginning mathematicians. His work in algebraic topology is marked by five fundamental papers which provide an introduction to homotopy groups and the Hurewicz Theorem concerning the relation between homotopy and singular homology. These papers are included here in their original form along with English translations. Each paper in the collection is followed by a review from one of the major reviewing journals. These reviews were written by eminent mathematicians and serve as excellent abstracts for the papers.

Collected Works of Witold Hurewicz (Collected Works, Vol.4) (English and German Edition)

Krystyna Kuperberg

This is Bulletin , Volume 64, Number 3, Part II, May 1958. A memorial to the late John von Neumann edited by J. C. Oxtoby, B. J. Pettis and E. B. Price.

John von Neumann, 1903-1957

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