Regular solids and isolated singularities (Advanced Lectures in Mathematics) - Tapa blanda

Lamotke, Klaus

9783528089580: Regular solids and isolated singularities (Advanced Lectures in Mathematics)

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ISBN 10: 352808958X ISBN 13: 9783528089580

Editorial: Springer, 2013

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The last book XIII of Euclid’s Elements deals with the regular solids which therefore are sometimes considered as crown of classical geometry. More than two thousand years later around 1850 Schl~fli extended the classification of regular solids to four and more dimensions. A few decades later, thanks to the invention of group and invariant theory the old three� dimensional regular solid were involved in the development of new mathematical ideas: F. Klein (Lectures on the Icosa� hedron and the Resolution of Equations of Degree Five, 1884) emphasized the relation of the regular solids to the finite rotation groups. He introduced complex coordinates and by means of invariant theory associated polynomial equations with these groups. These equations in turn describe isolated singularities of complex surfaces. The structure of the singularities is investigated by methods of commutative algebra, algebraic and complex analytic geometry, differential and algebraic topology. A paper by DuVal from 1934 (see the References), in which resolutions play an important rele, marked an early stage of these investigations. Around 1970 Klein’s polynomials were again related to new mathematical ideas: V. I. Arnold established a hierarchy of critical points of functions in several variables according to growing com� plexity. In this hierarchy Kleinls polynomials describe the "simple" critical points.

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The last book XIII of Euclid's Elements deals with the regular solids which therefore are sometimes considered as crown of classical geometry. More than two thousand years later around 1850 Schl~fli extended the classification of regular solids to four and more dimensions. A few decades later, thanks to the invention of group and invariant theory the old three� dimensional regular solid were involved in the development of new mathematical ideas: F. Klein (Lectures on the Icosa� hedron and the Resolution of Equations of Degree Five, 1884) emphasized the relation of the regular solids to the finite rotation groups. He introduced complex coordinates and by means of invariant theory associated polynomial equations with these groups. These equations in turn describe isolated singularities of complex surfaces. The structure of the singularities is investigated by methods of commutative algebra, algebraic and complex analytic geometry, differential and algebraic topology. A paper by DuVal from 1934 (see the References), in which resolutions play an important rele, marked an early stage of these investigations. Around 1970 Klein's polynomials were again related to new mathematical ideas: V. I. Arnold established a hierarchy of critical points of functions in several variables according to growing com� plexity. In this hierarchy Kleinls polynomials describe the "simple" critical points.

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ISBN 10: 352808958X
ISBN 13: 9783528089580
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Regular Solids and Isolated Singularities (Advanced Lectures in Mathematics) (German Edition)

Lamotke, Klaus

Publicado por Vieweg+Teubner Verlag, 1986

ISBN 10: 352808958X ISBN 13: 9783528089580

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Regular solids and isolated singularities Klaus Lamotke. Advanced lectures in mathematics; Advanced lectures in mathematics Vieweg.

Lamotke, Klaus:

Publicado por Braunschweig Wiesbaden, F Vieweg, 1986

ISBN 10: 352808958X ISBN 13: 9783528089580

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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de biblioth�que avec signature et cachet. BON �tat, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 20 LAM 9783528089580 Sprache: Englisch Gewicht in Gramm: 550. N� de ref. del art�culo: 2497820

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Regular Solids and Isolated Singularities (Advanced Lectures in Mathematics) (German Edition)

Lamotke, Klaus

Publicado por Vieweg&Sohn, 1986

ISBN 10: 352808958X ISBN 13: 9783528089580

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Soft cover. Condici�n: Good. No Jacket. Paperback covers are a bit worn and rubbed. Fading to spine. Contents tight. Previous owner name inside. This book is devoted to the relations between - regular Platonic solids - finite rotation groups - finite groups of complex matrices and invariant polynomials - isolated singularities of complex surfaces - certain 3- and 4-dimensional manifolds. N� de ref. del art�culo: 027027

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Regular solids and isolated singularities Advanced Lectures in Mathematics

Klaus Lamotke

Publicado por Vieweg+Teubner Verlag, 1986

ISBN 10: 352808958X ISBN 13: 9783528089580

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Regular Solids and Isolated Singularities -Language: german

Lamotke, Klaus

Publicado por Vieweg+Teubner Verlag, 1986

ISBN 10: 352808958X ISBN 13: 9783528089580

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Regular Solids and Isolated Singularities (Paperback)

Klaus Lamotke

Publicado por Vieweg+teubner Verlag, Braunschweig, 1986

ISBN 10: 352808958X ISBN 13: 9783528089580

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Paperback. Condici�n: new. Paperback. The last book XIII of Euclid's Elements deals with the regular solids which therefore are sometimes considered as crown of classical geometry. More than two thousand years later around 1850 Schl fli extended the classification of regular solids to four and more dimensions. A few decades later, thanks to the invention of group and invariant theory the old three- dimensional regular solid were involved in the development of new mathematical ideas: F. Klein (Lectures on the Icosa- hedron and the Resolution of Equations of Degree Five, 1884) emphasized the relation of the regular solids to the finite rotation groups. He introduced complex coordinates and by means of invariant theory associated polynomial equations with these groups. These equations in turn describe isolated singularities of complex surfaces. The structure of the singularities is investigated by methods of commutative algebra, algebraic and complex analytic geometry, differential and algebraic topology. A paper by DuVal from 1934 (see the References), in which resolutions play an important rele, marked an early stage of these investigations. Around 1970 Klein's polynomials were again related to new mathematical ideas: V. I. Arnold established a hierarchy of critical points of functions in several variables according to growing com- plexity. In this hierarchy Kleinls polynomials describe the "simple" critical points. The last book XIII of Euclid's Elements deals with the regular solids which therefore are sometimes considered as crown of classical geometry. More than two thousand years later around 1850 Schl~fli extended the classification of regular solids to four and more dimensions. A few decades later, thanks to the invention of group and invariant theory the old threeA dimensional regular solid were involved in the development of new mathematical ideas: F. Klein (Lectures on the IcosaA hedron and the Resolution of Equations of Degree Five, 1884) emphasized the relation of the regular solids to the finite rotation groups. He introduced complex coordinates and by means of invariant theory associated polynomial equations with these groups. These equations in turn describe isolated singularities of complex surfaces. The structure of the singularities is investigated by methods of commutative algebra, algebraic and complex analytic geometry, differential and algebraic topology. A paper by DuVal from 1934 (see the References), in which resolutions play an important rele, marked an early stage of these investigations. Around 1970 Klein's polynomials were again related to new mathematical ideas: V. I. Arnold established a hierarchy of critical points of functions in several variables according to growing comA plexity. In this hierarchy Kleinls polynomials describe the "simple" critical poin Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N� de ref. del art�culo: 9783528089580

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