Manifolds of Differentiable Mappings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Manifolds of Differentiable Mappings write by Peter W. Michor. This book was released on 1980. Manifolds of Differentiable Mappings available in PDF, EPUB and Kindle.
Topology from the Differentiable Viewpoint
Topology from the Differentiable Viewpoint - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topology from the Differentiable Viewpoint write by John Willard Milnor. This book was released on 1997-12-14. Topology from the Differentiable Viewpoint available in PDF, EPUB and Kindle. This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and the Hopf theorem.
Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers
Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers write by P.M. Gadea. This book was released on 2009-12-12. Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers available in PDF, EPUB and Kindle. A famous Swiss professor gave a student’s course in Basel on Riemann surfaces. After a couple of lectures, a student asked him, “Professor, you have as yet not given an exact de nition of a Riemann surface.” The professor answered, “With Riemann surfaces, the main thing is to UNDERSTAND them, not to de ne them.” The student’s objection was reasonable. From a formal viewpoint, it is of course necessary to start as soon as possible with strict de nitions, but the professor’s - swer also has a substantial background. The pure de nition of a Riemann surface— as a complex 1-dimensional complex analytic manifold—contributes little to a true understanding. It takes a long time to really be familiar with what a Riemann s- face is. This example is typical for the objects of global analysis—manifolds with str- tures. There are complex concrete de nitions but these do not automatically explain what they really are, what we can do with them, which operations they really admit, how rigid they are. Hence, there arises the natural question—how to attain a deeper understanding? One well-known way to gain an understanding is through underpinning the d- nitions, theorems and constructions with hierarchies of examples, counterexamples and exercises. Their choice, construction and logical order is for any teacher in global analysis an interesting, important and fun creating task.
Singularities of Differentiable Maps
Singularities of Differentiable Maps - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singularities of Differentiable Maps write by V.I. Arnold. This book was released on 2012-12-06. Singularities of Differentiable Maps available in PDF, EPUB and Kindle. ... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly pursued science passionately, as one would a beloved woman. I was a slave, and sought no other sun in my life. Day and night I crammed myself, bending my back, ruining myself over my books; I wept when I beheld others exploiting science fot personal gain. But I was not long enthralled. The truth is every science has a beginning, but never an end - they go on for ever like periodic fractions. Zoology, for example, has discovered thirty-five thousand forms of life ... A. P. Chekhov. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry and topology, Lie groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics).
Topological Library
Topological Library - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Library write by Sergeĭ Petrovich Novikov. This book was released on 2010. Topological Library available in PDF, EPUB and Kindle. 1. On manifolds homeomorphic to the 7-sphere / J. Milnor -- 2. Groups of homotopy spheres. I / M. Kervaire and J. Milnor -- 3. Homotopically equivalent smooth manifolds / S.P. Novikov -- 4. Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds / S.P. Novikov -- 5. On manifolds with free abelian fundamental group and their applications (Pontrjagin classes, smooth structures, high-dimensional knots) / S.P. Novikov -- 6. Stable homeomorphisms and the annulus conjecture / R. Kirby
