Category «Geometry And Topology»

Download ZZ2 - homotopy theory by M. C. Crabb PDF

By M. C. Crabb

This account is a learn of twofold symmetry in algebraic topology. the writer discusses in particular the antipodal involution of a true vector package - multiplication through - I in every one fibre; doubling and squaring operations; the symmetry of bilinear types and Hermitian K-theory. regardless of its identify, this isn't a treatise on equivariant topology; quite it's the language within which to explain the symmetry. Familiarity with the fundamental strategies of algebraic topology (homotopy, strong homotopy, homology, K-theory, the Pontrjagin-Thom move building) is believed. special proofs should not given (the specialist reader should be in a position to offer them while helpful) but nowhere is credibility misplaced. therefore the process is effortless sufficient to supply an advent to the topic compatible for graduate scholars even if learn staff will locate the following a lot of curiosity.

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Download The Twenty-Seven Lines Upon the Cubic Surface by Archibald Henderson PDF

By Archibald Henderson

Initially released in 1911 as quantity 13 within the Cambridge Tracts in arithmetic and Mathematical Physics sequence, this publication provides a basic survey of the matter of the 27 traces upon the cubic floor. Illustrative figures and a bibliography also are integrated. This booklet should be of worth to an individual with an curiosity in cubic surfaces and the background of arithmetic.

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Download The Volume of Convex Bodies and Banach Space Geometry by Gilles Pisier PDF

By Gilles Pisier

Now in paperback, this renowned publication supplies a self-contained presentation of a few fresh effects, which relate the amount of convex our bodies in n-dimensional Euclidean area and the geometry of the corresponding finite-dimensional normed areas. The tools hire classical rules from the speculation of convex units, likelihood concept, approximation conception, and the neighborhood conception of Banach areas. the 1st a part of the ebook offers self-contained proofs of the quotient of the subspace theorem, the inverse Santalo inequality and the inverse Brunn-Minkowski inequality. within the moment half Pisier provides a close exposition of the lately brought sessions of Banach areas of susceptible cotype 2 or susceptible sort 2, and the intersection of the sessions (weak Hilbert space). this article will be a good selection for classes in research and likelihood idea.

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Download Combinatorial Algebraic Topology (Algorithms and Computation by Dmitry Kozlov PDF

By Dmitry Kozlov

This quantity is the 1st accomplished remedy of combinatorial algebraic topology in ebook shape. the 1st a part of the publication constitutes a speedy stroll throughout the major instruments of algebraic topology. Readers - graduate scholars and dealing mathematicians alike - will most likely locate relatively valuable the second one half, which includes an in-depth dialogue of the most important learn recommendations of combinatorial algebraic topology. even if functions are sprinkled through the moment half, they're valuable concentration of the 3rd half, that is solely dedicated to constructing the topological constitution idea for graph homomorphisms.

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Download fractal geometries, theory and applications by Alain Le Mehaute PDF

By Alain Le Mehaute

Fractal geometry, according to recursive mathematical schemas, presents a method for modeling quite a few typical phenomena. consequently, it's of accelerating curiosity to physicists, chemists, biologists, and geographers, between others. a tremendous caliber of fractality is that it not just unifies phenomena formerly considered anomalous or disparate in one theoretical framework, however it additionally promotes a go back to graphical remedy, which were nearly thoroughly banished from medical notion in prefer of analysis.
This e-book casts a brand new, energetic gentle on medical territories nonetheless now not absolutely explored. it's designed for study staff, engineers, and experimentalists confronted with difficulties of degree and motion in heterogenous fabrics and environments. numerous colour plates illustrate the results and outcomes of this idea for many of the questions raised through the bearing in mind of time in a fractal area.

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Download Géométrie descriptive. Classe de Mathématiques by Maillard R., Millet A. PDF

By Maillard R., Millet A.

Cours conforme au programme du 24 juin 1948.

Table des matières :

Première partie : Géométrie de Monge

Chap. I. — Le element. — los angeles droite
    1. Épure du point
    2. Épure de los angeles droite
    3. Problèmes sur los angeles droite
    Note sur les épures

Chap. II. — Le plan
    1. Épure du plan
    2. Plans remarquables
    3. Lignes de pente
    4. Résumé

Chap. III. — Intersection de droites et de plans
    1. Droites et plans parallèles
    2. Intersection de droites et de plans
    3. Applications
    4. Ponctuation
    5. Droites et plans perpendiculaires
    6. Perpendiculaire commune à deux droites

Chap. IV. — Transformation des projections
    1. Changement de plan
    2. Rotation
    3. Rabattement
    4. Problèmes de distances et d’angles

Chap. V. — Pyramides et prismes
    1. Représentation d’une pyramide
    2. Représentation d’un prisme
    3. Tétraèdre régulier et cube

Deuxième partie : Géométrie cotée

Chap. VI. — Le element. — los angeles droite
    1. Épure du point
    2. Projection verticale auxiliaire
    3. Épure de los angeles droite
    4. Problèmes sur los angeles droite

Chap. VII. — Le plan
    1. Représentation du plan
    2. Droites et plans parallèles
    3. Intersection de droites et de plans
    4. Applications
    5. Droites et plans perpendiculaires

Chap. VIII. — Transformation des projections
    1. Changement de plan. Rotation
    2. Rabattement
    3. Problèmes de distances et d’angles

Chap. IX. — Pyramides et prismes
    1. Représentation d’une pyramide
    2. Représentation d’un prisme

Chap. X. — Projection du cercle
    1. Projection d’un cercle de bout (Géométrie de Monge)
    2. Projection cotée d’un cercle
    3. Problèmes sur l. a. projection du cercle

Questions de baccalauréat
    I. Géométrie de Monge
    II. Géométrie cotée

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