微分可能多様体（第２版）<br>Differentiable Manifolds (Modern Birkhäuser Classics) （2nd ed. 2001. 2nd printing）

個数：

微分可能多様体（第２版）
Differentiable Manifolds (Modern Birkhäuser Classics) （2nd ed. 2001. 2nd printing）

  • 提携先の海外書籍取次会社に在庫がございます。通常3週間で発送いたします。
    【重要ご説明事項】
    1. 納期遅延や、ご入手不能となる場合が若干ございます。
    2. 複数冊ご注文の場合、分割発送となる場合がございます。
    3. 美品のご指定は承りかねます。
  • 【入荷遅延について】
    世界情勢の影響により、海外からお取り寄せとなる洋書・洋古書の入荷が、表示している標準的な納期よりも遅延する場合がございます。
    おそれいりますが、あらかじめご了承くださいますようお願い申し上げます。
  • ◆画像の表紙や帯等は実物とは異なる場合があります。
  • ◆ウェブストアでの洋書販売価格は、弊社店舗等での販売価格とは異なります。
    また、洋書販売価格は、ご注文確定時点での日本円価格となります。
    ご注文確定後に、同じ洋書の販売価格が変動しても、それは反映されません。
  • 製本 Paperback:紙装版/ペーパーバック版／ページ数 435 p.／サイズ 48 illus.
  • 商品コード 9780817647667

基本説明

A text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation in general topology, calculus, and modern algebra.

Full Description

The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry. Differentiable Manifolds is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation in general topology, calculus, and modern algebra. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful reference text. Topics that can be omitted safely in a first course are clearly marked, making this edition easier to use for such a course, as well as for private study by non-specialists wishing to survey the field.

The themes of linearization, (re) integration, and global versus local calculus are emphasized throughout. Additional features include a treatment of the elements of multivariable calculus, formulated to adapt readily to the global context, an exploration of bundle theory, and a further (optional) development of Lie theory than is customary in textbooks at this level. New to the second edition is a detailed treatment of covering spaces and the fundamental group.

Students, teachers and professionals in mathematics and mathematical physics should find this a most stimulating and useful text.

Contents

Topological Manifolds.- The Local Theory of Smooth Functions.- The Global Theory of Smooth Functions.- Flows and Foliations.- Lie Groups and Lie Algebras.- Covectors and 1-Forms.- Multilinear Algebra and Tensors.- Integration of Forms and de Rham Cohomology.- Forms and Foliations.- Riemannian Geometry.- Principal Bundles*.