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  • The Classical Groupsby Hermann Weyl

    Princeton University Press 2016; US$ 97.00

    In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. The book also covers topics such as matrix... more...

  • 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...

  • Mathematical Methods of Statistics (PMS-9)by Harald Cramér

    Princeton University Press 2016; US$ 120.00

    In this classic of statistical mathematical theory, Harald Cramér joins the two major lines of development in the field: while British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability into a rigorous and pure mathematical theory. The... 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...

  • Continuous Geometryby John von Neumann; Israel Halperin

    Princeton University Press 2016; US$ 105.00

    In his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system Ln . In characterizing its properties, von Neumann founded the field of continuous geometry. This book, based on von Neumann's lecture notes, begins with the development of the axioms of continuous geometry,... 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...

  • Singular Integrals and Differentiability Properties of Functions (PMS-30)by Elias M. Stein

    Princeton University Press 2016; US$ 120.00

    Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. In this book, Princeton professor Elias Stein, a leading mathematical innovator as well as a gifted expositor, produced what has been called the most... more...

  • Spin Geometry (PMS-38)by H. Blaine Lawson; Marie-Louise Michelsohn

    Princeton University Press 2016; US$ 165.00

    This book offers a systematic and comprehensive presentation of the concepts of a spin manifold, spinor fields, Dirac operators, and A-genera, which, over the last two decades, have come to play a significant role in many areas of modern mathematics. Since the deeper applications of these ideas require various general forms of the Atiyah-Singer Index... more...

  • Harmonic Analysis (PMS-43)by Elias M. Stein

    Princeton University Press 2016; US$ 145.00

    This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and... more...

  • Abelian Varieties with Complex Multiplication and Modular Functionsby Goro Shimura

    Princeton University Press 2016; US$ 125.00

    Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such... more...