عنوان

Introduction to tensor analysis and the calculus of moving surfaces /

شابک

1461478677 (electronic bk.)

شابک

9781461478676 (electronic bk.)

شابک اشتباه

9781461478669

شماره

dltt

عنوان اصلي

Introduction to tensor analysis and the calculus of moving surfaces /

نام عام مواد

[Book]

نام نخستين پديدآور

Pavel Grinfeld

نام خاص و کميت اثر

1 online resource

متن يادداشت

Includes bibliographical references and index

متن يادداشت

This text is meant to deepen its readers understanding of vector calculus, differential geometry and related subjects in applied mathematics. 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. Tensor calculus is a powerful tool that combines the geometric and analytical perspectives and enables us to take full advantage of the computational utility of coordinate systems. The tensor approach can be of benefit to members of all technical sciences including mathematics and all engineering disciplines. If calculus and linear algebra are central to the readers scientific endeavors, tensor calculus is indispensable. 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 reasonable level of rigor, it takes great care to avoid formalizing the subject

عنوان

Introduction to tensor analysis and the calculus of moving surfaces

شماره استاندارد بين المللي کتاب و موسيقي

1461478669

عنوان

OhioLINK electronic book center (Online)

عنوان

SpringerLink

موضوع مستند نشده

Calculus of tensors

موضوع مستند نشده

Vector analysis

شماره

ويراست

شماره رده

شماره رده

مستند نام اشخاص تاييد نشده

Grinfeld, Pavel

مستند نام تنالگان تاييد نشده

Ohio Library and Information Network

تاريخ عمليات

20210107091104.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

کد کاربرگه

270410

تكميل شده

Y