Geometry And Topology

Geometry from Africa (Classroom Resource Materials) by Paulus Gerdes

By Paulus Gerdes

This e-book attracts on geometric rules from cultural actions from Subsaharan Africa, and demonstrates how they're explored to increase mathematical reasoning from tuition point via to school common. Paulus Gerdes offers a completely illustrated and researched exploration of mathematical rules, motifs and styles. Many very important mathematical issues are dropped at the fore, now not through the formal 'theorem-proof' technique, yet in a extra schematic and diagrammatic demeanour. African artifacts, oral traditions, sand drawing and other kinds of art with a geometrical foundation, all offer mathematical principles for dialogue during this certain publication. Mathematicians and academics of arithmetic in any respect degrees can be involved, as will anyone with an curiosity in African cultures.

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From Geometry to Quantum Mechanics: In Honor of Hideki Omori by K. D. Elworthy (auth.), Yoshiaki Maeda, Takushiro Ochiai,

By K. D. Elworthy (auth.), Yoshiaki Maeda, Takushiro Ochiai, Peter Michor, Akira Yoshioka (eds.)

This quantity consists of invited expository articles via recognized mathematicians in differential geometry and mathematical physics which were prepared in party of Hideki Omori's contemporary retirement from Tokyo collage of technology and in honor of his primary contributions to those areas.

The papers specialise in fresh developments and destiny instructions in symplectic and Poisson geometry, worldwide research, infinite-dimensional Lie crew thought, quantizations and noncommutative geometry, in addition to purposes of partial differential equations and variational easy methods to geometry. those articles will attract graduate scholars in arithmetic and quantum mechanics, in addition to researchers, differential geometers, and mathematical physicists.

Contributors comprise: M. Cahen, D. Elworthy, A. Fujioka, M. Goto, J. Grabowski, S. Gutt, J. Inoguchi, M. Karasev, O. Kobayashi, Y. Maeda, okay. Mikami, N. Miyazaki, T. Mizutani, H. Moriyoshi, H. Omori, T. Sasai, D. Sternheimer, A. Weinstein, ok. Yamaguchi, T. Yatsui, and A. Yoshioka.

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Grassmannians and Gauss Maps in Piecewise-Linear Topology by Norman Levitt

By Norman Levitt

The publication explores the opportunity of extending the notions of "Grassmannian" and "Gauss map" to the PL class. they're distinctive from "classifying house" and "classifying map" that are primarily homotopy-theoretic notions. The analogs of Grassmannian and Gauss map outlined comprise geometric and combinatorial info. relevant functions contain attribute category idea, smoothing thought, and the lifestyles of immersion satifying convinced geometric standards, e.g. curvature stipulations. The e-book assumes wisdom of simple differential topology and package deal conception, together with Hirsch-Gromov-Phillips idea, in addition to the analogous theories for the PL classification. The paintings might be of curiosity to mathematicians interested by geometric topology, PL and PD facets of differential geometry and the geometry of polyhedra.

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Recent Advances in Geometric Inequalities by Dragoslav S. Mitrinovic, J. Pecaric, V. Volenec

By Dragoslav S. Mitrinovic, J. Pecaric, V. Volenec

`For the rapid destiny, even though, this booklet could be (possibly chained!) in each collage and school library, and, convinced, within the library of each institution that's rationale on bettering its arithmetic teaching.' The Americal Mathematical per 30 days, December 1991 `This e-book should still make fascinating analyzing for philosophers of arithmetic, in the event that they are looking to realize how mathematical principles rather develop.' Advances in arithmetic, 86, 1991

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