Buku Ketenaganukliran
Tensor analysis : theory and application to geometry and mechanics of continua
This book is an outgrowth of a course of lectures I gave over a period of years at the University of Wisconsin, Brown University, and the Univer- sity of California. My audience consisted, for the most part, of graduate students interested in applications of mathematics, and this fact shaped both the content and the character of exposition.
Because of the importance of linear transformations in motivating the development of tensor theory, the first chapter in this book is given to a discussion of linear transformations and matrices, in which stress is placed on the geometry and physics of the situation. Although a large part of the subject matter treated in this chapter is normally covered in courses on matrix algebra, only a few of my listeners have had the sort of appre- ciation of matrix transformations that an applied mathematician should have.
The second chapter is concerned with algebra and calculus of tensors. The treatment in it is self-contained and is not made to depend on some special field of mathematics as a vehicle for the development of tensor analysis. This is a departure from the customary practice of making geometry or relativity a medium for the unfolding of tensor analysis Although this latter practice has a great deal to commend it because it provides a simple means for motivating the study of tensors, it often leaves an erroneous impression that the formulation of tensor analysis depends somehow on geometry or relativity.
The remaining four chapters in this volume deal with the applica- tions of tensor calculus to geometry, analytical mechanics, relativistic mechanics, and mechanics of deformable media. Thus, Chapter 3 con- tains a selection of those geometrical topics that are important in the study of analytical dynamics and in such portions of elasticity and plas- ticity as deal with the deformation of plates and shells. This chapter provides a substantial introduction to the subject of metric differential geometry. In Chapter 4, the essential concepts of analytical mechanics are presented adequately and concisely. An introduction to relativistic mechanics is contained in Chapter 5. The treatment there was inten- tionally made very brief because some excellent books on relativity have appeared recently and there seems little point in duplicating their contents.
Ketersediaan
| S17-0088 | 515.6 SOK t | Perpustakaan Poltek Nuklir | Tersedia |
Informasi Detail
- Judul Seri
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- No. Panggil
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515.6 SOK t
- Penerbit
- New York : John Wiley & Sons., 1951
- Deskripsi Fisik
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xi, 361 halaman : ilustrasi ; 22 cm
- Bahasa
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Inggris
- ISBN/ISSN
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- Klasifikasi
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515.6
- Tipe Isi
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teks
- Tipe Media
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tanpa perantara
- Tipe Pembawa
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volume
- Edisi
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Second edition
- Subjek
- Info Detail Spesifik
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- Pernyataan Tanggungjawab
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Ivan S. Sokolnikoff
Versi lain/terkait
Tidak tersedia versi lain
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