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Book
ISBN: 1400881897 Year: 2016 Publisher: Princeton, NJ : Princeton University Press,
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Geometry of orthogonal spaces.
Mathematics. --- Ambiguity. --- Antiderivative. --- John von Neumann. --- Notation. --- Operator theory. --- Sign (mathematics).
Book
ISBN: 1400882257 Year: 2016 Publisher: Princeton, NJ : Princeton University Press,
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Measures and integrals
Functional analysis. --- Geometry. --- Affine space. --- Axiom. --- C0. --- Combination. --- Commutative property. --- Complex number. --- Corollary. --- Countable set. --- Dimension (vector space). --- Dimension. --- Direct product. --- Discrete measure. --- Empty set. --- Euclidean space. --- Existential quantification. --- Finite set. --- Hilbert space. --- Infimum and supremum. --- Linear map. --- Linearity. --- Mutual exclusivity. --- Natural number. --- Ordinal number. --- Separable space. --- Sequence. --- Set (mathematics). --- Special case. --- Subset. --- Summation. --- Theorem. --- Theory. --- Transfinite induction. --- Transfinite. --- Unbounded operator. --- Variable (mathematics). --- Well-order. --- Well-ordering theorem.
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ISBN: 9781400881895 Year: 2016 Publisher: Princeton, NJ
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ISBN: 9781400882250 Year: 2016 Publisher: Princeton, NJ
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Book
ISBN: 1400883954 Year: 2016 Publisher: Princeton, NJ : Princeton University Press,
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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, dimension theory, and--for the irreducible case--the function D(a). The properties of regular rings are then discussed, and a variety of results are presented for lattices that are continuous geometries, for which irreducibility is not assumed. For students and researchers interested in ring theory or projective geometries, this book is required reading.
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ISBN: 9781400883950 Year: 2016 Publisher: Princeton, NJ
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