Recommend book to follow Introduction to Analysis by Rosenlicht

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SUMMARY

The discussion centers on recommendations for advanced mathematics books following "Introduction to Analysis" by Rosenlicht. The user seeks a strong foundation in analysis, particularly in functions of several real variables and vector analysis, to prepare for graduate studies in computational fluid mechanics. "Principles of Mathematical Analysis" by Walter Rudin is questioned for its coverage of multivariate and vector functions. Additionally, "Advanced Calculus of Several Variables" by C.H. Edwards is suggested, noted for its emphasis on Differential Forms.

PREREQUISITES
  • Understanding of basic analysis concepts from "Introduction to Analysis" by Rosenlicht
  • Familiarity with multivariable calculus
  • Knowledge of vector analysis
  • Basic concepts of Differential Forms
NEXT STEPS
  • Research "Principles of Mathematical Analysis" by Walter Rudin for multivariate function coverage
  • Explore "Advanced Calculus of Several Variables" by C.H. Edwards for Differential Forms
  • Study functional analysis techniques relevant to computational fluid mechanics
  • Investigate resources on partial differential equations (PDEs) for further mathematical foundation
USEFUL FOR

Students and professionals in mathematics, particularly those pursuing graduate studies in computational fluid mechanics, as well as anyone seeking to deepen their understanding of multivariable analysis and vector calculus.

MechanicalEngr
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Recommend book to follow "Introduction to Analysis" by Rosenlicht

I am trying to build a great foundation in analysis before moving into functional analysis, ode and tensor calc( planning on graduate school in computational fluid mechanics ). I love the style of Rosenlichts text. What's the best book to take it to the next level? I seek something very strong in analysis of functions of several real variables and vector analysis... Any suggestions? Does principles of mathematical analysis by rudin cover multivariate and vector functions?

Thanks in advance
 
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Meant pde, damn iPad!
 
I liked "Advanced Calculus of Several Variables" , by C.H Edwards, but I'm doing pure Math. Maybe take a look at it and see if you like it. It has a lot on Differential Forms.
 

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