Last edited by Vulrajas
Friday, May 8, 2020 | History

5 edition of Analysis on real and complex manifolds found in the catalog.

Analysis on real and complex manifolds

by Raghavan Narasimhan

  • 114 Want to read
  • 23 Currently reading

Published by North-Holland, Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co. in Amsterdam, New York, New York, N.Y .
Written in English

    Subjects:
  • Differentiable manifolds.,
  • Complex manifolds.,
  • Differential operators.

  • Edition Notes

    StatementR. Narasimhan.
    SeriesNorth-Holland mathematical library ;, v. 35
    Classifications
    LC ClassificationsQA614.3 .N37 1985
    The Physical Object
    Paginationxiv, 246 p. ;
    Number of Pages246
    ID Numbers
    Open LibraryOL3029615M
    ISBN 100444877762
    LC Control Number85010155

      The book has proven to be an excellent introduction to the theory of complex manifolds considered from both the points of view of complex analysis and differential geometry.” (Philosophy, Religion and Science Book Reviews, , May, )Brand: Raymond O. Wells. Analysis on Manifolds 作者: James R. Munkres 出版社: Perseus Books (Sd) 出版年: 定价: USD 装帧: Hardcover ISBN: 豆瓣评分.

    In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. characterization of projective algebraic manifolds. This book should be suitable for a graduate level course on the general topic of complex manifolds. I have avoided developing any of the theory of several complex variables relating to recent developments in Stein manifold theory because there are several recent texts on the subject (Gunning and.

    $\begingroup$ Another difference is that the complex structure gives the manifold a canonical orientation whereas there are lots of real even-dimensional manifolds that aren't orientable at all. $\endgroup$ – Matt Nov 30 '11 at   Let us consider two dimensional problems, where the power of complex analysis can be seen quite directly. If a function f(x,y)=u(x,y)+ i v(x,y) is differentiable at z .


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Analysis on real and complex manifolds by Raghavan Narasimhan Download PDF EPUB FB2

Search in this book series. Analysis on Real and Complex Manifolds. Edited by R. Narasimhan. Vol Pages iii-xii, () Download full volume. Previous volume.

Next volume. Actions for selected chapters. Select all / Deselect all. Download PDFs Export citations. Rudin's Real and Complex Analysis is my favorite math book. I've studied it thoroughly as an undergrad/early grad student when I was training to be a research mathematician working in complex and harmonic analysis.

Like much of Rudin's other writings, this book is written from an advanced by:   About the Book: Differential Analysis on Complex Manifolds In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial 4/5(1).

Purchase Analysis on Real and Complex Manifolds, Volume 35 - 2nd Edition. Print Book & E-Book. ISBNThe book has proven to be an excellent introduction to the theory of complex manifolds considered from both the points of view of complex analysis and differential geometry.” (Philosophy, Religion and Science Book Reviews,May, ).

Analysis on real and complex manifolds. [Raghavan Narasimhan] Home. WorldCat Home About WorldCat Help. Analysis on real and complex manifolds book. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create Book\/a>, schema:CreativeWork\/a> ; \u00A0\u00A0\u00A0\n library.

Later on, please do check out Spivak's Calculus on Manifolds - it's a must-have, IMHO. $\endgroup$ – DrHAL Jun 3 '16 at 2 $\begingroup$ The word "analysis" is a overloaded. There is functional analysis, complex analysis, real analysis. Your question "why not start off with an analysis book instead of Spivak's calculus book" appears.

Additional Physical Format: Online version: Narasimhan, Raghavan. Analysis on real and complex manifolds. Paris, Masson; Amsterdam, North-Holland Pub.

Co., The theorems of real analysis rely intimately upon the structure of the real number line. The real number system consists of an uncountable set (), together with two binary operations denoted + and ⋅, and an order denoted.

Analysis on real and complex manifolds R. Narasimhan. Categories: Mathematics. Year: Edition: 2nd Revised edition You can write a book review and share your experiences.

Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincare and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality : R.

Narasimhan. An almost complex structure on a real 2n-manifold is a GL(n, C)-structure (in the sense of G-structures) – that is, the tangent bundle is equipped with a linear complex structure.

Concretely, this is an endomorphism of the tangent bundle whose square is −I; this endomorphism is analogous to multiplication by the imaginary number i, and is denoted J (to avoid confusion. Analysis on Manifolds book. Read reviews from world’s largest community for readers.

A readable introduction to the subject of calculus on arbitrary surf 4/5. In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations.

Subsequent chapters then develop. COMPLEX ANALYSIS An Introduction to the Theory of Analytic Riemann surfaces as one-dimensional complex manifolds. The book the only number which is at once real and purely imaginary.

Two complex numbers are equal if and only if they have the same. Analysis, Real and Complex Analysis, and Functional Analysis, whose widespread use is illustrated by the fact that they have been translated into a total of 13 languages. He wrote the first of these while he was a C.L.E.

Moore Instructor at M.I.T., just two years after receiving his Ph.D. at Duke University in Later. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality : $ This book offers a lucid presentation of major topics in real and complex analysis, discusses applications of complex analysis to analytic number theory, and covers the proof of the prime number theorem, Picard’s little theorem, Riemann’s zeta function and Euler’s gamma functionBrand: Springer Singapore.

Buy Analysis on Real and Complex Manifolds by Narasimhan, R. (ISBN: ) from Amazon's Book Store. Everyday low Author: R. Narasimhan. Differential Analysis on Complex Manifolds R. Wells Jr.

(auth.) In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential.

Wells' book is an example of the "straight path to big theorem" approach to mathematical exposition. He has chosen two big results, namely the Hodge and Lefschetz decompositions for the cohomology of a compact Kähler manifold and Kodaira's vanishing and projective embedding theorems for Hodge manifolds.Huybrechts Complex Geometry is excellent, and has some more recent stuff.

Griffiths and Harris Principles of Algebraic Geometry is a great classic. Barths, Peters and Van Den Ven Compact Complex Surfaces gives a nice explanation of the classification of surfaces, which gives lots of nice examples, including nonalgebraic ones.

Beauville, Complex Algebraic Surfaces covers. Thus this book is a complex combination of theory and examples. Complex analysis is involved in all branches of mathematics.

It often happens that the complex analysis is the shortest path for solving a problem in real circum stances. We are using the (Cauchy) integral approach and the (Weierstrass) power se ries approach.