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In den WarenkorbPaperback or Softback. Zustand: New. Introduction to Tensor Analysis and the Calculus of Moving Surfaces 0.98. Book.
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Verlag: Springer-Verlag New York Inc., New York, 2016
ISBN 10: 1493955055 ISBN 13: 9781493955053
Sprache: Englisch
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In den WarenkorbPaperback. Zustand: new. Paperback. This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The authors skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problemsand dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem. This introduction to tensor calculus features over 150 exercises. It uses an informal approach, focuses on concrete objects, and appeals to the reader's intuition with regard to fundamental concepts, such as the Euclidean space, surface, and length. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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In den WarenkorbZustand: New. In English.
Verlag: Springer-Verlag New York Inc., New York, NY, 2013
ISBN 10: 1461478669 ISBN 13: 9781461478669
Sprache: Englisch
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In den WarenkorbHardcover. Zustand: new. Hardcover. This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The authors skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problemsand dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem. Introduction to Tensor Analysis and the Calculus of Moving Surfaces Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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In den WarenkorbZustand: New. This introduction to tensor calculus features over 150 exercises. It uses an informal approach, focuses on concrete objects, and appeals to the reader's intuition with regard to fundamental concepts, such as the Euclidean space, surface, and length. Num Pages: 315 pages, 33 black & white illustrations, 4 colour illustrations, biography. BIC Classification: PBF; PBKQ; PBMP. Category: (P) Professional & Vocational. Dimension: 236 x 155 x 22. Weight in Grams: 486. . 2016. Softcover reprint of the original 1st ed. 2013. Paperback. . . . .
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In den Warenkorbhardcover. Zustand: Sehr gut. 315 Seiten; 9781461478669.2 Gewicht in Gramm: 13.
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In den WarenkorbHardcover. Zustand: Very good. Hardcover Octavo. illustrated glossy boards, 302 pp.