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Fundamental Concepts in Modern Analysis

by Hansen Vagn Lundsgaard

Analysis for mathematical and engineering study

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Hardcover New English

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AlbakiReads Editorial

Analysis for mathematical and engineering study

This text connects foundational ideas in mathematical analysis with topics that draw on them, including dynamical systems, calculus of variations, differential geometry, and Lie groups. Its stated groundwork is general topology and calculus in normed vector spaces, placing the material at an intersection of core mathematics and the more theoretical side of engineering science. The 236-page hardcover offers a focused entry into concepts that recur across several advanced disciplines.

Good fit for readers who enjoy

  • Mathematically inclined engineering students seeking deeper study of analysis.
  • University students in mathematics or the physical sciences.

Themes

Mathematical analysisGeneral topologyNormed vector spacesFoundations of advanced mathematics and engineering

Based on publisher information and book metadata.

Book overview

 

Many advanced mathematical disciplines, such as dynamical systems, calculus of variations, differential geometry and the theory of Lie groups, have a common foundation in general topology and calculus in normed vector spaces. In this book, mathematically inclined engineering students are offered an opportunity to go into some depth with fundamental notions from mathematical analysis that are not only important from a mathematical point of view but also occur frequently in the more theoretical parts of the engineering sciences. The book should also appeal to university students in mathematics and in the physical sciences.

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