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Vector analysis --- Curved beams

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Vector analysis. --- Mechanics, Analytic. --- Analytical mechanics --- Kinetics --- Algebra, Universal --- Mathematics --- Numbers, Complex --- Quaternions --- Spinor analysis --- Vector algebra --- Mechanics, Analytic --- Vector analysis --- Mecanique rationnelle --- Cinetique --- Cinematique

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While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does not imply that everything covered in Volume I is required for this volume, however the two volumes are to some extent complementary.

Analytical spaces --- 517.982 --- Linear spaces with topology and order or other structures --- Riesz spaces. --- 517.982 Linear spaces with topology and order or other structures --- Vector spaces. --- Linear spaces --- Linear vector spaces --- Algebras, Linear --- Functional analysis --- Vector analysis --- Riesz vector spaces --- Vector lattices --- Lattice theory --- Vector spaces --- Analyse fonctionnelle --- Functional analysis. --- Espaces vectoriels ordonnes

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Geometry, projective --- Quaternions --- Algebraic fields --- 514.16 --- Geometry, Projective --- Algebra, Universal --- Curves --- Surfaces --- Numbers, Complex --- Vector analysis --- Projective geometry --- Geometry, Modern --- Algebraic number fields --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Algebraic number theory --- Rings (Algebra) --- Geometries over algebras --- Geometry, Projective. --- Quaternions. --- Algebraic fields. --- 514.16 Geometries over algebras --- Geometrie --- Geometrie projective --- Geometrie finie

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The theory of the numerical range of a linear operator on an arbitrary normed space had its beginnings around 1960, and during the 1970s the subject has developed and expanded rapidly. This book presents a self-contained exposition of the subject as a whole. The authors develop various applications, in particular to the study of Banach algebras where the numerical range provides an important link between the algebraic and metric structures.

Normed linear spaces. --- Banach algebras. --- Linear operators. --- Linear maps --- Maps, Linear --- Operators, Linear --- Operator theory --- Algebras, Banach --- Banach rings --- Metric rings --- Normed rings --- Banach spaces --- Topological algebras --- Linear normed spaces --- Normed vector spaces --- Functional analysis --- Vector analysis --- Linear operators --- Banach algebras --- Normed linear spaces