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Lectures On The Geometry Of Manifolds ‫(2Nd Edition)
435.60 جنيه

Lectures On The Geometry Of Manifolds ‫(2Nd Edition)

كن أول من يقيِّم هذا المنتج 

435.60 جنيه 

  - ستوفر -435.60 جنيه
الأسعار تشمل ضريبة القيمة المضافة  التفاصيل
رقم ال ISBN
9789812778628
الفئات
الرياضيات
الكاتب
Nicolaescu,
الناشر
World Scientific Publishing Co Pte Ltd
الوصف:

The goal of this book is to introduce the reader to some of the most frequently used techniques in modern global geometry. Suited to the beginning graduate student willing to specialize in this very challenging field, the necessary prerequisite is a good knowledge of several variables calculus, linear algebra and point-set topology.The book's guiding philosophy is, in the words of Newton, ...

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معلومات المنتج

  •  

    المواصفات

    رقم ال ISBN
    9789812778628
    الفئات
    الرياضيات
    الرقم المميز للسلعة
    2724546064859
    المؤلفين
    الكاتب
    Nicolaescu,
    المؤلفين
    الناشر
    World Scientific Publishing Co Pte Ltd
    رقم ال ISBN
    9789812778628
    الفئات
    الرياضيات
    الرقم المميز للسلعة
    2724546064859
    المؤلفين
    الكاتب
    Nicolaescu,
    المؤلفين
    الناشر
    World Scientific Publishing Co Pte Ltd
    معلومات تقنية
    غلاف الكتاب
    غلاف عادي
    اللغات والبلدان
    لغة الكتاب
    الانجليزية
    إقرأ المزيد
  •  

    الوصف:

    The goal of this book is to introduce the reader to some of the most frequently used techniques in modern global geometry. Suited to the beginning graduate student willing to specialize in this very challenging field, the necessary prerequisite is a good knowledge of several variables calculus,

    The goal of this book is to introduce the reader to some of the most frequently used techniques in modern global geometry. Suited to the beginning graduate student willing to specialize in this very challenging field, the necessary prerequisite is a good knowledge of several variables calculus, linear algebra and point-set topology.The book's guiding philosophy is, in the words of Newton, that "in learning the sciences examples are of more use than precepts". We support all the new concepts by examples and, whenever possible, we tried to present several facets of the same issue.While we present most of the local aspects of classical differential geometry, the book has a "global and analytical bias". We develop many algebraic-topological techniques in the special context of smooth manifolds such as Poincare duality, Thom isomorphism, intersection theory, characteristic classes and the Gauss-Bonnet theorem.We devoted quite a substantial part of the book to describing the analytic techniques which have played an increasingly important role during the past decades. Thus, the last part of the book discusses elliptic equations, including elliptic Lpand Holder estimates, Fredholm theory, spectral theory, Hodge theory, and applications of these. The last chapter is an in-depth investigation of a very special, but fundamental class of elliptic operators, namely, the Dirac type operators.The second edition has many new examples and exercises, and an entirely new chapter on classical integral geometry where we describe some mathematical gems which, undeservedly, seem to have disappeared from the contemporary mathematical limelight.

    • Lectures On The Geometry Of Manifolds (2Nd Edition)
    • Author: Nicolaescu,
    • Publisher: World Scientific Publishing Co Pte Ltd
    • Published: 2008
 

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