Book containing taylor series expansions

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SUMMARY

The discussion centers on finding a textbook resource for understanding Taylor series expansions of nonlinear, multivariable functions. Participants recommend the "Schaum Series Calculus" as a useful exercise book for both solved and unsolved problems. Additionally, "Thomas and Finney" is suggested for its examples of multivariable Taylor series, particularly in two variables. These resources provide foundational knowledge and practice for mastering the topic.

PREREQUISITES
  • Understanding of single-variable calculus concepts
  • Familiarity with multivariable functions
  • Basic knowledge of Taylor series and their applications
  • Experience with problem-solving in calculus
NEXT STEPS
  • Research "Schaum Series Calculus" for exercises on Taylor series
  • Study "Thomas and Finney" for multivariable calculus examples
  • Explore advanced topics in multivariable Taylor series expansions
  • Practice solving nonlinear function problems using Taylor series
USEFUL FOR

Students and educators in mathematics, particularly those focusing on calculus and multivariable functions, will benefit from this discussion.

elarson89
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Hello,

I am looking for a resource (preferably a textbook) to help me with nonlinear, multivariable functions and working through taylor series expansions of them. My calculus book only covers single variable expansions unfortunately.

Thanks
 
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Schaum Series calculus maybe -- more as an exercise book for solved and unsolved problems.

How about Thomas and Finney? They do give some examples of multivariable Taylor Series -- at least in 2 variables.
 

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