Good reference on multi-variable calculus of variation

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SUMMARY

This discussion focuses on finding accessible references for multi-variable calculus of variation, emphasizing the need for resources that include numerous examples and demonstrations. The user highlights the inadequacy of existing literature, which predominantly covers single-variable topics. Recommended resources include the book "Calculus of Variations" by Gelfand and Fomin (ISBN: 0486445526) and additional texts such as "Variational Methods for Eigenvalue Problems" (ISBN: 0521497701) and "Calculus of Variations" by Weinstock (ISBN: 0521451256). These references are suggested as valuable for anyone seeking to deepen their understanding of multi-variable calculus of variation.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with single-variable calculus of variation
  • Knowledge of mathematical analysis
  • Ability to interpret mathematical examples and demonstrations
NEXT STEPS
  • Explore "Calculus of Variations" by Gelfand and Fomin for foundational concepts
  • Research "Variational Methods for Eigenvalue Problems" for advanced applications
  • Study "Calculus of Variations" by Weinstock for practical examples
  • Investigate online courses or lectures on multi-variable calculus of variation
USEFUL FOR

Students, mathematicians, and educators interested in advanced calculus topics, particularly those focusing on multi-variable calculus of variation and its applications in various fields.

JulieK
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I am looking for a good and easy access reference on multi-variable calculus of variation with many examples and demonstrations. Although I have many books and references on the calculus of variation, most are focused on single-variable. Any advice will be appreciated.
 
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