Robert Steinberg's Lectures on Chevalley Groups were delivered and written during the author's sabbatical visit to Yale University in the 1967-1968 academic year.
The work presents the status of the theory of Chevalley groups as it was in the mid-1960s. Much of this material was instrumental in many areas of mathematics, in particular in the theory of algebraic groups and in the subsequent classification of finite groups.
This posthumous edition incorporates additions and corrections prepared by the author during his retirement, including a new introductory chapter.
A bibliography and editorial notes have also been added.
University Lecture Series,Volume: 66
2016; 160 pp; Softcover
Print ISBN: 978-1-4704-3105-1
Contemporary Mathematics, Volume: 681
2017; 184 pp; Softcover
Print ISBN: 978-1-4704-2255-4
This volume contains the proceedings of the workshop on Analysis and Geometry in Several Complex Variables, held from January 4?8, 2015, at Texas A&M University at Qatar, Doha, Qatar.
This volume covers many topics of current interest in several complex variables, CR geometry, and the related area of overdetermined systems of complex vector fields, as well as emerging trends in these areas.
Papers feature original research on diverse topics such as the rigidity of CR mappings, normal forms in CR geometry, the d-bar Neumann operator, asymptotic expansion of the Bergman kernel, and hypoellipticity of complex vector fields. Also included are two survey articles on complex Brunn-Minkowski theory and the regularity of systems of complex vector fields and their associated Laplacians.
Graduate students and research mathematicians interested in various aspects of several complex variables.
Contemporary Mathematics, Volume: 682
2017; 259 pp; Softcover
Print ISBN: 978-1-4704-1700-0
This volume contains the proceedings of the conference on Manifolds, KTheory, and Related Topics, held from June 23?27, 2014, in Dubrovnik, Croatia.
The articles contained in this volume are a collection of research papers featuring recent advances in homotopy theory, K -theory, and their applications to manifolds. Topics covered include homotopy and manifold calculus, structured spectra, and their applications to group theory and the geometry of manifolds.
This volume is a tribute to the influence of Tom Goodwillie in these fields.
Graduate students and research mathematicians interested in algebraic topology and k-theory.
Pure and Applied Undergraduate Texts, Volume: 27
2016; Hardcover Secondary 20; 13; 12
Print ISBN: 978-1-4704-2849-5
This text?based on the author's popular courses at Pomona College?provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.
Undergraduate students interested in abstract algebra.
Series: Contemporary Mathematicians
1st ed. 2017, Approx. 600 p. 50 illus.
Hardcover
ISBN 978-3-319-51779-7
* Fifth and final volume of Raoul Bott's completed works,
* Offers personal insights on the life and work of one of the foremost
mathematicians of the twentieth century
* Features topics of current interest, such as stable vector bundles,
knot and manifold invariants, equivariant cohomology, and loop
spaces
This book is the fifth and final volume of Raoul Bott’s Collected Papers.
It collects all of Bott’s published articles since 1991 as well as some articles published
earlier but missing in the earlier volumes.
The volume also contains interviews with Raoul Bott, several of his previously unpublished speeches,
commentaries by his collaborators such as Alberto Cattaneo and Jonathan Weitsman on their joint articles with Bott,
Michael Atiyah’s obituary of Raoul Bott, Loring Tu’s authorized biography of Raoul Bott, and reminiscences
of Raoul Bott by his friends, students, colleagues, and collaborators, among them Stephen
Smale, David Mumford, Arthur Jaffe, Shing-Tung Yau, and Loring Tu. The mathematical
articles, many inspired by physics, encompass stable vector bundles, knot and manifold
invariants, equivariant cohomology, and loop spaces. The nonmathematical contributions
give a sense of Bott’s approach to mathematics, style, personality, zest for life, and
humanity. In one of the articles, from the vantage point of his later years, Raoul Bott gives
a tour-de-force historical account of one of his greatest achievements, the Bott periodicity
theorem. A large number of the articles originally appeared in hard-to-find conference
proceedings or journals. This volume makes them all easily accessible.
This book also includes a collection of photographs giving a panoramic view of Raoul
Bott's life and his interaction with other mathematicians.