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Tensor Calculus with Object-Oriented Matrices for Numerical Methods in Mechanics and Engineering: Fundamentals and Functions for Tensor/Matrix Algorit

by Udo F. Meissner
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Current price ₹6,540.00
Original price ₹10,061.00
Original price ₹10,061.00
Original price ₹10,061.00
(-35%)
₹6,540.00
Current price ₹6,540.00

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Book cover type: Hardcover
  • ISBN13: 9783031593017
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 234
  • Original Price: EUR 89.99
  • Language: English
  • Edition: 2024
  • Item Weight: 604 grams
  • BISAC Subject(s): Civil / General, Materials Science / General, and Construction / Heating, Ventilation & Air Conditioning

The intension of the book is to synthesize classical matrix and tensor methods with object-oriented software techniques and efficient matrix methods for numerical algorithms. The aim is to establish a coherent methodological framework through which the tensor-based modeling of physical phenomena can be seamlessly applied in numerical algorithms without encountering methodological inconsistencies across different sub-areas, like indexed notation of tensors and two- dimensional matrix algebra in symbolic notation.

The key to an effective solution lies in object-oriented numerical structures and software design. The author presents a coherent integration of tensor-based theory through multi-dimensional matrix calculus to object-oriented numeric classes and methods for adequate simulations.

The index-based tensor and matrix notation and the object-oriented overloading of standard operators in C++ offers an innovative means to define comparable matrix operations for processing matrix objects of higher order. Typical applications demonstrate the advantages of this unique integration.

Prof. Dr.-Ing. Dr.-Ing. E.h. Udo F. Meissner (em. TU Darmstadt)

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