1.

Record Nr.

UNINA9910555190203321

Titolo

Molecular and cellular technologies for forage improvement / / editors, E. C. Brummer, chair N. S. Hill, C. A. Roberts

Pubbl/distr/stampa

Madison, Wisconsion : , : Crop Science Society of America, , 1998

ISBN

0-89118-605-0

Descrizione fisica

1 online resource (134 pages)

Collana

CSSA Special Publication ; ; Number 26

Disciplina

633.2

Soggetti

Forage plants - Cytology

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

2.

Record Nr.

UNINA9910483832803321

Autore

Gallier Jean H.

Titolo

Differential Geometry and Lie Groups : A Second Course / / by Jean Gallier, Jocelyn Quaintance

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020

ISBN

3-030-46047-9

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (XIV, 620 p. 110 illus., 32 illus. in color.)

Collana

Geometry and Computing, , 1866-6809 ; ; 13

Disciplina

516.36

Soggetti

Geometry, Differential

Topological groups

Lie groups

Mathematics - Data processing

Differential Geometry

Topological Groups and Lie Groups

Computational Mathematics and Numerical Analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa



Livello bibliografico

Monografia

Nota di contenuto

1. Tensor Algebras -- 2. Exterior Tensor Powers and Exterior Algebras -- 3. Differential Forms -- 4. Distributions and the Frobenius Theorem -- 5. Integration on Manifolds -- 6. Spherical Harmonics and Linear Representations -- 7. Operators on Riemannian Manifolds -- 8. Bundles, Metrics on Bundles, Homogeneous Spaces -- 9. Connections and Curvature in Vector Bundles -- 10. Clifford Algebras, Clifford Groups, Pin and Spin.

Sommario/riassunto

This textbook explores advanced topics in differential geometry, chosen for their particular relevance to modern geometry processing. Analytic and algebraic perspectives augment core topics, with the authors taking care to motivate each new concept. Whether working toward theoretical or applied questions, readers will appreciate this accessible exploration of the mathematical concepts behind many modern applications. Beginning with an in-depth study of tensors and differential forms, the authors go on to explore a selection of topics that showcase these tools. An analytic theme unites the early chapters, which cover distributions, integration on manifolds and Lie groups, spherical harmonics, and operators on Riemannian manifolds. An exploration of bundles follows, from definitions to connections and curvature in vector bundles, culminating in a glimpse of Pontrjagin and Chern classes. The final chapter on Clifford algebras and Clifford groups draws the book to an algebraicconclusion, which can be seen as a generalized viewpoint of the quaternions. Differential Geometry and Lie Groups: A Second Course captures the mathematical theory needed for advanced study in differential geometry with a view to furthering geometry processing capabilities. Suited to classroom use or independent study, the text will appeal to students and professionals alike. A first course in differential geometry is assumed; the authors’ companion volume Differential Geometry and Lie Groups: A Computational Perspective provides the ideal preparation.