Download e-book for kindle: Lehrbuch Der Topologie by H. Seifert, W. Threlfall

By H. Seifert, W. Threlfall

ISBN-10: 0828400318

ISBN-13: 9780828400312

The Nineteen Thirties have been very important years within the improvement of recent topology, driven ahead by way of the looks of some pivotal books, of which this can be one. the point of interest is on combinatorial and algebraic topology, with as a lot point-set topology as wanted for the most subject matters. One sees from the fashionable viewpoint that the authors are operating in a class of areas that comes with in the community finite simplicial complexes. (Their definition of manifold is extra competently identified at the present time as a "triangulizable homology manifold".) Amazingly, they be capable to accomplish much with no the handy instruments of homological algebra, reminiscent of precise sequences and commutative diagrams, that have been built later. the most themes coated are: simplicial homology (coefficients in $\mathbb{Z}$ or $\mathbb{Z}_2$), neighborhood homology, floor topology, the basic workforce and protecting areas, three-manifolds, Poincar? duality, and the Lefschetz mounted element theorem. Few necessities are useful. a last part reports the lemmas and theorems from crew idea which are wanted within the textual content. As said within the advent to the real booklet through Alexandroff and Hopf (which seemed a 12 months after Seifert and Threlfall): "Its full of life and instructive presentation makes this publication rather appropriate as an advent or as a textbook."

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M. de León, P.R. Rodrigues's Methods of Differential Geometry in Analytical Mechanics PDF

By M. de León, P.R. Rodrigues

ISBN-10: 0444880178

ISBN-13: 9780444880178

The differential geometric formula of analytical mechanics not just deals a brand new perception into Mechanics, but in addition presents a extra rigorous formula of its actual content material from a mathematical point of view. issues lined during this quantity comprise differential varieties, the differential geometry of tangent and cotangent bundles, virtually tangent geometry, symplectic and pre-symplectic Lagrangian and Hamiltonian formalisms, tensors and connections on manifolds, and geometrical features of variational and constraint theories. The ebook could be regarded as a self-contained textual content and simply presupposes that readers are familiar with linear and multilinear algebra in addition to complex calculus.

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Get 1830-1930: A Century of Geometry PDF

By L. Boi, D. Flament, Jean-Michel Salanskis

ISBN-10: 0387554084

ISBN-13: 9780387554082

ISBN-10: 3540554084

ISBN-13: 9783540554080

Within the first 1/2 the nineteenth century geometry replaced substantially, and withina century it helped to revolutionize either arithmetic and physics. It additionally placed the epistemology and the philosophy of technology on a brand new footing. In this quantity a valid evaluate of this improvement is given via top mathematicians, physicists, philosophers, and historians of technological know-how. This interdisciplinary process provides this assortment a different personality. it may be utilized by scientists and scholars, however it additionally addresses a basic readership.

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