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Algebra

  • Homological Algebra (PMS-19)by Henry Cartan; Samuel Eilenberg

    Princeton University Press 2016; US$ 105.00

    When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had been made, Cartan and Eilenberg tried to unify the fields and to construct the framework of a fully fledged theory. The invasion of algebra had occurred on three fronts through the construction of cohomology... more...

  • The Topology of Fibre Bundles. (PMS-14)by Norman Steenrod

    Princeton University Press 2016; US$ 80.00

    Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically. It begins with a general introduction to bundles, including such topics... more...

  • Theory of Lie Groups (PMS-8)by Claude Chevalley

    Princeton University Press 2016; US$ 75.00

    This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. To develop this idea to its fullest extent, Chevalley incorporated a broad range of topics, such as the covering spaces of topological spaces, analytic manifolds, integration... more...

  • Representation Theory of Semisimple Groupsby Anthony W. Knapp

    Princeton University Press 2016; US$ 145.00

    In this classic work, Anthony W. Knapp offers a survey of representation theory of semisimple Lie groups in a way that reflects the spirit of the subject and corresponds to the natural learning process. This book is a model of exposition and an invaluable resource for both graduate students and researchers. Although theorems are always stated precisely,... more...

  • Cohomological Induction and Unitary Representations (PMS-45)by Anthony W. Knapp; Jr. David A. Vogan

    Princeton University Press 2016; US$ 187.00

    This book offers a systematic treatment--the first in book form--of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation... more...

  • Real Submanifolds in Complex Space and Their Mappings (PMS-47)by M. Salah Baouendi; Peter Ebenfelt; Linda Preiss Rothschild

    Princeton University Press 2016; US$ 132.00

    This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students. The techniques in this area borrow from real and complex analysis and partial differential equations, as well as from differential, algebraic,... more...

  • Algebra & Geometryby Mark V. Lawson

    CRC Press 2016; US$ 64.95

    Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathematics is more than a collection of methods by presenting important ideas and their historical origins throughout the text. He incorporates a hands-on... more...

  • CRC Standard Curves and Surfaces with Mathematica, Third Editionby David H. von Seggern

    CRC Press 2016; US$ 89.95

    Since the publication of this book?s bestselling predecessor, Mathematica has matured considerably and the computing power of desktop computers has increased greatly. The Mathematica typesetting functionality has also become sufficiently robust that the final copy for this edition could be transformed directly from Mathematica R notebooks to... more...

  • Rigid Germs, the Valuative Tree, and Applications to Kato Varietiesby Matteo Ruggiero

    Scuola Normale Superiore 2016; US$ 24.99

    This thesis deals with specific featuresof the theory of holomorphic dynamics in dimension 2 and then sets out to studyanalogous questions in higher dimensions, e.g. dealing with normal forms forrigid germs, and examples of Kato 3-folds. The local dynamics of holomorphic mapsaround critical points is still not completely understood, in dimension... more...

  • Special Functions and Orthogonal Polynomialsby Richard Beals; Roderick Wong

    Cambridge University Press 2016; US$ 72.00

    A comprehensive graduate-level introduction to classical and contemporary aspects of special functions. more...