Looking for a Good Book on Functions?

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SUMMARY

This discussion centers on recommendations for books focused on the concept of functions, particularly with a calculus orientation. Participants suggest "Stewart's Calculus" as a solid introductory text and "Understanding Analysis" by Abbott for a more detailed, proof-based approach. Both books cover essential mathematical concepts related to functions, catering to different levels of understanding. The conversation highlights the need for resources that go beyond basic textbooks found in local libraries.

PREREQUISITES
  • Basic understanding of calculus concepts
  • Familiarity with mathematical functions and their types
  • Knowledge of proof-based mathematics
  • Interest in advanced mathematical analysis
NEXT STEPS
  • Explore "Stewart's Calculus" for foundational knowledge on functions
  • Read "Understanding Analysis" by Abbott for advanced proof techniques
  • Investigate additional resources on real and complex functions
  • Study bounded linear functionals and measures in mathematical analysis
USEFUL FOR

Students, educators, and mathematics enthusiasts seeking to deepen their understanding of functions, particularly in calculus and analysis contexts.

thushanthan
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Hi

I need a good book ( general ) on functions. I searched in the local library but those books are like school textbooks. Is there is any book explaining the basic concepts and ideas of functions ? It will be better if it is calculus oriented.

Thank you.
 
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Functions are used in all kinds of math - you tend to study functions of specific types, like real, complex, bounded linear functionals, measures, etc.

Stewart's Calculus is a good introduction to functions. Understanding Analysis by Abbott is a good, detailed, proof based book on this subject.
 
Thank you ! I will try Abbott's book. :smile:
 

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