Introduction to Global Analysis
Donald W. Kahn
āļ.āļĒ. 2013 · Courier Corporation
eBook
352
āļŦāļāđāļē
reportāļāļ°āđāļāļāđāļĨāļ°āļĢāļĩāļ§āļīāļ§āđāļĄāđāđāļāđāļĢāļąāļāļāļēāļĢāļāļĢāļ§āļāļŠāļāļāļĒāļ·āļāļĒāļąāļ Â āļāļđāļāđāļāļĄāļđāļĨāđāļāļīāđāļĄāđāļāļīāļĄ
āđāļāļĩāđāļĒāļ§āļāļąāļ eBook āđāļĨāđāļĄāļāļĩāđ
This accessible introduction to global analysis begins with a basic discussion of finite-dimensional differential manifolds. A Professor of Mathematics at the University of Minnesota, author Donald W. Kahn has geared his treatment toward advanced undergraduates and graduate students. Starting with those aspects that flow from the usual advanced calculus, he proceeds to proofs of versions of the Whitney embedding theorem, the theorem of Sard on the measure of the set of critical values, and the transversality lemma of Thom.
With the foundations set, the text turns to examinations of the tangent bundle to a manifold and the general theory of vector bundles. A study of differential operators on manifolds follows, including the algebra of differential forms, Stokes' theorem, the PoincarÃĐ lemma, and the basic definition of deRham cohomology. Additional topics include infinite-dimensional manifolds, Morse theory, Lie groups, dynamical systems, and the roles of singularities and catastrophes. Each chapter concludes with a selection of problems and projects.
With the foundations set, the text turns to examinations of the tangent bundle to a manifold and the general theory of vector bundles. A study of differential operators on manifolds follows, including the algebra of differential forms, Stokes' theorem, the PoincarÃĐ lemma, and the basic definition of deRham cohomology. Additional topics include infinite-dimensional manifolds, Morse theory, Lie groups, dynamical systems, and the roles of singularities and catastrophes. Each chapter concludes with a selection of problems and projects.
āđāļāļĩāđāļĒāļ§āļāļąāļāļāļđāđāđāļāđāļ
Author Donald W. Kahn is a Professor of Mathematics at the University of Minnesota.
āđāļŦāđāļāļ°āđāļāļ eBook āļāļĩāđ
āđāļŠāļāļāļāļ§āļēāļĄāđāļŦāđāļāļāļāļāļāļļāļāđāļŦāđāđāļĢāļēāļĢāļąāļāļĢāļđāđ
āļāđāļāļĄāļđāļĨāđāļāļāļēāļĢāļāđāļēāļ
āļŠāļĄāļēāļĢāđāļāđāļāļāđāļĨāļ°āđāļāđāļāđāļĨāđāļ
āļāļīāļāļāļąāđāļāđāļāļ Google Play Books āļŠāļģāļŦāļĢāļąāļ Android āđāļĨāļ° iPad/iPhone āđāļāļāļāļ°āļāļīāļāļāđāđāļāļĒāļāļąāļāđāļāļĄāļąāļāļīāļāļąāļāļāļąāļāļāļĩāļāļāļāļāļļāļ āđāļĨāļ°āļāđāļ§āļĒāđāļŦāđāļāļļāļāļāđāļēāļāđāļāļāļāļāļāđāļĨāļāđāļŦāļĢāļ·āļāļāļāļāđāļĨāļāđāđāļāđāļāļļāļāļāļĩāđ
āđāļĨāđāļāļāđāļāļāđāļĨāļ°āļāļāļĄāļāļīāļ§āđāļāļāļĢāđ
āļāļļāļāļāļąāļāļŦāļāļąāļāļŠāļ·āļāđāļŠāļĩāļĒāļāļāļĩāđāļāļ·āđāļāļāļēāļ Google Play āđāļāļĒāđāļāđāđāļ§āđāļāđāļāļĢāļēāļ§āđāđāļāļāļĢāđāđāļāļāļāļĄāļāļīāļ§āđāļāļāļĢāđāđāļāđ
eReader āđāļĨāļ°āļāļļāļāļāļĢāļāđāļāļ·āđāļāđ
āļŦāļēāļāļāđāļāļāļāļēāļĢāļāđāļēāļāļāļāļāļļāļāļāļĢāļāđ e-ink āđāļāđāļ Kobo eReader āļāļļāļāļāļ°āļāđāļāļāļāļēāļ§āļāđāđāļŦāļĨāļāđāļĨāļ°āđāļāļāđāļāļĨāđāđāļāļĒāļąāļāļāļļāļāļāļĢāļāđāļāļāļāļāļļāļ āđāļāļĢāļāļāļģāļāļēāļĄāļ§āļīāļāļĩāļāļēāļĢāļāļĒāđāļēāļāļĨāļ°āđāļāļĩāļĒāļāđāļāļĻāļđāļāļĒāđāļāđāļ§āļĒāđāļŦāļĨāļ·āļāđāļāļ·āđāļāđāļāļāđāļāļĨāđāđāļāļĒāļąāļ eReader āļāļĩāđāļĢāļāļāļĢāļąāļ
