By Loring W. Tu
In this streamlined creation to the topic, the speculation of manifolds is gifted with the purpose of assisting the reader in achieving a speedy mastery of the fundamental issues. through the top of the booklet the reader may be capable of compute, at the least for easy areas, some of the most uncomplicated topological invariants of a manifold, its de Rham cohomology. alongside the best way, the reader acquires the data and talents useful for additional learn of geometry and topology. The considered necessary point-set topology is integrated in an appendix of twenty pages; different appendices assessment proof from actual research and linear algebra. tricks and suggestions are supplied to a few of the workouts and problems.
This paintings can be used because the textual content for a one-semester graduate or complex undergraduate direction, in addition to by way of scholars engaged in self-study. Requiring in simple terms minimum undergraduate must haves, 'Introduction to Manifolds' is usually a great origin for Springer's GTM eighty two, 'Differential kinds in Algebraic Topology'.
Read or Download An Introduction to Manifolds (Universitext) PDF
Best geometry & topology books
This creation to algebraic geometry assumes in simple terms the normal heritage of undergraduate algebra and is very appropriate for people with no past touch with the topic. The booklet focusses on projective algebraic geometry over an algebraically closed base box. It starts off with easily-formulated issues of non-trivial strategies – for instance, Bézout’s theorem and the matter of rational curves – and makes use of those difficulties to introduce the elemental instruments of contemporary algebraic geometry: measurement; singularities; sheaves; types; and cohomology.
This booklet surveys growth within the domain names defined within the hitherto unpublished manuscript 'Esquisse d'un Programme' (Sketch of a application) by way of Alexander Grothendieck. it will likely be of extensive curiosity among employees in algebraic geometry, quantity idea, algebra and topology.
Algebra & Geometry: An advent to college arithmetic presents a bridge among highschool and undergraduate arithmetic classes on algebra and geometry. the writer exhibits scholars how arithmetic is greater than a set of equipment through offering vital principles and their old origins in the course of the textual content.
Collage geometry scholars, professors attracted to undergraduate learn and secondary geometry lecturers will locate 3 wealthy environments during this textbook. the 1st bankruptcy includes the various criteria of Euclidean collage geometry. the second one and 3rd chapters introduce non-Euclidean versions the place a few Euclidean ideas carry and others don't.
- Global Analysis in Mathematical Physics: Geometric and Stochastic Methods (Applied Mathematical Sciences)
- Tropical Algebraic Geometry: 35 (Oberwolfach Seminars)
- Origami 4 (Origami (AK Peters))
- Minisum Hyperspheres: 51 (Springer Optimization and Its Applications)
- Differential and Riemannian Manifolds (Graduate Texts in Mathematics)
Extra resources for An Introduction to Manifolds (Universitext)
An Introduction to Manifolds (Universitext) by Loring W. Tu