본문 바로가기

Differential Geometry: Connections, Curvature, and Characteristic Classes > 외국도서

본문 바로가기

회원메뉴

쇼핑몰 검색

회원로그인

회원가입

오늘 본 상품 1

  • Differential Geometry: Connections, Curvature, and Characteristic Classes
    Differenti 61,000
Differential Geometry: Connections, Curvature, and Characteristic Classes > 외국도서
메인으로

Differential Geometry: Connections, Curvature, and Characteristic Classes 요약정보 및 구매

Differential Geometry: Connections, Curvature, and Characteristic Classes

저자 :

상품 선택옵션 0 개, 추가옵션 0 개

위시리스트0
시중가격 65,000원
판매가격 61,000원
출판사 Springer
발행일20170615
ISBN 9783319550824
페이지00347
크기 240 x 160 x 25 (mm)
언어 ENG
무게 746g
배송비결제 주문시 결제

선택된 옵션

  • Differential Geometry: Connections, Curvature, and Characteristic Classes
    +0원
위시리스트
  • 상품 정보

    상품 상세설명


    This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern-Weil theory of characteristic classes on a principal bundle. Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss' Theorema Egregium and the Gauss-Bonnet theorem. Exercises throughout the book test the reader's understanding of the material and sometimes illustrate extensions of the theory. Initially, the prerequisites for the reader include a passing familiarity with manifolds. After the first chapter, it becomes necessary to understand and manipulate differential forms. A knowledge of de Rham cohomology is required for the last third of the text.

    Prerequisite material is contained in author's text An Introduction to Manifolds, and can be learned in one semester. For the benefit of the reader and to establish common notations, Appendix A recalls the basics of manifold theory. Additionally, in an attempt to make the exposition more self-contained, sections on algebraic constructions such as the tensor product and the exterior power are included.

    Differential geometry, as its name implies, is the study of geometry using differential calculus. It dates back to Newton and Leibniz in the seventeenth century, but it was not until the nineteenth century, with the work of Gauss on surfaces and Riemann on the curvature tensor, that differential geometry flourished and its modern foundation was laid. Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein's general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory. Differential geometry is also useful in topology, several complex variables, algebraic geometry, complex manifolds, and dynamical systems, among other fields. The field has even found applications to group theory as in Gromov's work and to probability theory as in Diaconis's work. It is not too far-fetched to argue that differential geometry should be in every mathematician's arsenal.

    Description
    This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal bundle. Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss' Theorema Egregium and the Gauss–Bonnet theorem. Exercises throughout the book test the reader’s understanding of the material and sometimes illustrate extensions of the theory.

    Initially, the prerequisites for the reader include a passing familiarity with manifolds. After the first chapter, it becomes necessary to understand and manipulate differential forms. A knowledge of  de Rham cohomology is required for the last third of the text.Prerequisite material is contained in author's text An Introduction to Manifolds, and can be learned in one semester.

    For the benefit of the reader and to establish common notations, Appendix A recalls the basics of manifold theory. Additionally, in an attempt to make the exposition more self-contained, sections on algebraic constructions such as the tensor product and the exterior power are included. Differential geometry, as its name implies, is the study of geometry using differential calculus.

    It dates back to Newton and Leibniz in the seventeenth century, but it was not until the nineteenth century, with the work of Gauss on surfaces and Riemann on the curvature tensor, that differential geometry flourished and its modern foundation was laid. Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein's general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory. Differential geometry is also useful in topology, several complex variables, algebraic geometry, complex manifolds, and dynamical systems, among other fields.  The field has even found applications to group theory as in Gromov's work and to probability theory as in Diaconis's work.

    It is not too far-fetched to argue that differential geometry should be in every mathematician's arsenal.

    상품 정보 고시

  • 사용후기

  • 상품문의

    등록된 상품문의

    상품문의가 없습니다.

  • 반품/교환 방법

    "마이페이지 > 주문조회 > 반품/교환신청", 1:1상담>반품/교환 또는 고객센터(031-948-8090)

    반품/교환 가능 기간

    변심, 구매착오의 경우 수령 후 10일 이내

    전자책 관련(eBook 등)은 반품이 불가합니다.

    파본 등 상품결함 시 '문제점 발견 후 30일' 이내

    반품/교환 비용

    제주도 및 도서산간 지역 발송은 추가비용 발생되며, 비용은 고객부담(제주도 추가비용 4,000원)

    변심 혹은 구매착오의 경우에만 반송료 고객 부담(왕복 배송비 고객 부담)

    * 해외 직배송도서 취소수수료 : 수입제반비용(국내 까지의 운송비, 관세사비, 보세창고료, 내륙 운송비, 통관비 등)에 따른 비용

    반품/교환 불가 사유

    해외 직배송도서는 반품이 불가합니다.

    사용, 파본, 포장개봉에 의해 상품결함 등 상품가치가 현저히 감소한 상품

    전자책 관련(eBook 등)은 반품이 불가합니다.

    소비자 피해보상

    환불지연에 따른 배상

    - 상품의 불량에 의한 반품, 교환, A/S, 환불, 품질보증 및 피해보상 등에 관한 사항은 소비자분쟁해결기준 (공정거래위원회 고시)에 준하여 처리됨

    - 대금 환불 및 환불 지연에 따른 배상금 지급 조건, 절차 등은 전자상거래 등에서의 소비자 보호에 관한 법률에 따라 처리함

선택된 옵션

  • Differential Geometry: Connections, Curvature, and Characteristic Classes
    +0원

관련도서