TRA CỨU
thông tin biểu ghi
ISBN 9789814440097
DDC 516.36
Tác giả CN Szilasi, József
Nhan đề Connections, sprays, and Finsler structures / József Szilasi, Rezső L Lovas, Dávid Cs Kertész
Thông tin xuất bản New Jersey : World Scientific, 2014
Mô tả vật lý xxi, 709 pages. : illustrations ; 24 cm.
Tóm tắt This book provides a comprehensive introduction to Finsler geometry in the language of present-day mathematics. Through Finsler geometry, it also introduces the reader to other structures and techniques of differential geometry. Prerequisites for reading the book are minimal: undergraduate linear algebra (over the reals) and analysis. The necessary concepts and tools of advanced linear algebra (over modules), point set topology, multivariable calculus and the rudiments of the theory of differential equations are integrated in the text. Basic manifold and bundle theories are treated concisely, carefully and (apart from proofs) in a self-contained manner. The backbone of the book is the detailed and original exposition of tangent bundle geometry, Ehresmann connections and sprays. It turns out that these structures are important not only in their own right and in the foundation of Finsler geometry, but they can be also regarded as the cornerstones of the huge edifice of Differential Geometry. The authors emphasize the conceptual aspects, but carefully elaborate calculative aspects as well (tensor derivations, graded derivations and covariant derivatives). Although they give preference to index-free methods, they also apply the techniques of traditional tensor calculus. Most proofs are elaborated in detail, which makes the book suitable for self-study. Nevertheless, the authors provide for more advanced readers as well by supplying them with adequate material, and the book may also serve as a reference
Từ khóa tự do Geometry, Differential.
Khoa Sách Giải trí - Tham khảo
Tác giả(bs) CN Kertész, Dávid Cs
Tác giả(bs) CN Lovas, Rezső L.
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040 |aNTT
041|aeng
044|anju
082|a516.36|bS9982|223
100 |aSzilasi, József
24510|aConnections, sprays, and Finsler structures /|cJózsef Szilasi, Rezső L Lovas, Dávid Cs Kertész
260|aNew Jersey : |bWorld Scientific, |c2014
300 |axxi, 709 pages. : |billustrations ; |c24 cm.
504 |aIncludes bibliographical references (pages 681-685) and indexes.
520 |aThis book provides a comprehensive introduction to Finsler geometry in the language of present-day mathematics. Through Finsler geometry, it also introduces the reader to other structures and techniques of differential geometry. Prerequisites for reading the book are minimal: undergraduate linear algebra (over the reals) and analysis. The necessary concepts and tools of advanced linear algebra (over modules), point set topology, multivariable calculus and the rudiments of the theory of differential equations are integrated in the text. Basic manifold and bundle theories are treated concisely, carefully and (apart from proofs) in a self-contained manner. The backbone of the book is the detailed and original exposition of tangent bundle geometry, Ehresmann connections and sprays. It turns out that these structures are important not only in their own right and in the foundation of Finsler geometry, but they can be also regarded as the cornerstones of the huge edifice of Differential Geometry. The authors emphasize the conceptual aspects, but carefully elaborate calculative aspects as well (tensor derivations, graded derivations and covariant derivatives). Although they give preference to index-free methods, they also apply the techniques of traditional tensor calculus. Most proofs are elaborated in detail, which makes the book suitable for self-study. Nevertheless, the authors provide for more advanced readers as well by supplying them with adequate material, and the book may also serve as a reference
541|aTặng
653|aGeometry, Differential.
690|aSách Giải trí - Tham khảo
700 |aKertész, Dávid Cs
700 |aLovas, Rezső L.
852|a300|bQ12_Kho Mượn_02|j(3): 095249-51
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