Algebraic and Analytic Geometry

Algebraic and Analytic Geometry
Title Algebraic and Analytic Geometry PDF eBook
Author Amnon Neeman
Publisher Cambridge University Press
Pages 433
Release 2007-09-13
Genre Mathematics
ISBN 0521709830

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Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.

Algebraic and Analytic Geometry

Algebraic and Analytic Geometry
Title Algebraic and Analytic Geometry PDF eBook
Author Amnon Neeman
Publisher
Pages 434
Release 2007
Genre Electronic books
ISBN 9781107365469

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Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.

History of Analytic Geometry

History of Analytic Geometry
Title History of Analytic Geometry PDF eBook
Author Carl B. Boyer
Publisher Courier Corporation
Pages 306
Release 2012-06-28
Genre Mathematics
ISBN 0486154513

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This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.

Local Analytic Geometry

Local Analytic Geometry
Title Local Analytic Geometry PDF eBook
Author Theo de Jong
Publisher Springer Science & Business Media
Pages 395
Release 2013-06-29
Genre Mathematics
ISBN 3322901599

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Auf der Grundlage einer Einführung in die kommutative Algebra, algebraische Geometrie und komplexe Analysis werden zunächst Kurvensingularitäten untersucht. Daran schließen Ergebnisse an, die zum ersten Mal in einem Lehrbuch aufgenommen wurden, das Verhalten von Invarianten in Familien, Standardbasen für konvergente Potenzreihenringe, Approximationssätze, Grauerts Satz über die Existenz der versellen Deformation. Das Buch richtet sich an Studenten höherer Semester, Doktoranden und Dozenten. Es ist auf der Grundlage mehrerer Vorlesungen und Seminaren an den Universitäten in Kaiserslautern und Saarbrücken entstanden.

Linear Algebra and Analytic Geometry for Physical Sciences

Linear Algebra and Analytic Geometry for Physical Sciences
Title Linear Algebra and Analytic Geometry for Physical Sciences PDF eBook
Author Giovanni Landi
Publisher Springer
Pages 348
Release 2018-05-12
Genre Science
ISBN 3319783610

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A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physics, notably mechanics (including celestial) and electro-magnetism, with more than two hundreds examples and solved exercises.Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac’s bra-ket formalism. Spectral theory for self-adjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number.The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a post-graduate qualification.

Rigid Analytic Geometry and Its Applications

Rigid Analytic Geometry and Its Applications
Title Rigid Analytic Geometry and Its Applications PDF eBook
Author Jean Fresnel
Publisher Springer Science & Business Media
Pages 303
Release 2012-12-06
Genre Mathematics
ISBN 1461200415

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Rigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and greatly expanded new English edition of an earlier French text by the same authors, presents important new developments and applications of the theory of rigid analytic spaces to abelian varieties, "points of rigid spaces," étale cohomology, Drinfeld modular curves, and Monsky-Washnitzer cohomology. The exposition is concise, self-contained, rich in examples and exercises, and will serve as an excellent graduate-level text for the classroom or for self-study.

Lectures on Analytic and Projective Geometry

Lectures on Analytic and Projective Geometry
Title Lectures on Analytic and Projective Geometry PDF eBook
Author Dirk J. Struik
Publisher Courier Corporation
Pages 306
Release 2011-10-24
Genre Mathematics
ISBN 0486485951

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This undergraduate text develops the geometry of plane and space, leading up to conics and quadrics, within the context of metrical, affine, and projective transformations. 1953 edition.