Calculus of Linear and Nonlinear Functions

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SUMMARY

The discussion centers on the book "Calculus of Linear and Nonlinear Functions" by Francis J. Flanigan and Jerry L. Kazdan, and its relevance for students preparing for second-year Calculus, specifically Calculus II. Participants agree that while the book does not directly cover multivariable calculus, it provides a solid introduction to the concepts that underpin it. The book is based on lecture notes from Harvard in the 1960s and is considered a valuable resource for understanding the approximation of nonlinear functions using linear techniques.

PREREQUISITES
  • Understanding of first-year Calculus concepts
  • Familiarity with multivariable calculus fundamentals
  • Basic knowledge of linear algebra
  • Interest in historical mathematical texts
NEXT STEPS
  • Explore "Multivariable Calculus" textbooks for a comprehensive understanding of the subject
  • Study "Linear Algebra" to grasp the foundational concepts necessary for advanced calculus
  • Read "Calculus of Linear and Nonlinear Functions" by Flanigan and Kazdan for insights into approximation techniques
  • Investigate online resources or courses on modern several variables calculus
USEFUL FOR

Students transitioning from first-year to second-year Calculus, educators seeking supplementary material, and anyone interested in the historical context of calculus education.

Moe_the_Genius
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I have recently borrowed a new book from the local library:
Calculus of Linear and Nonlinear Functions
by Francis J. Flanigan and Jerry L. Kazdan.

I have already finished first-year Calculus and I was wondering if this type of book would prepare me well for second-year Calculus in university? Is this the type of material that I am going to study next year if I take Calculus II?

Any suggestions or hints are greatly appreciated!
 
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calculus two is mutli-variable (variat?) calculus, and linear algebra, sometime as semester courses and sometimes as full year courses. I honeslty don't think that will teach you what you will learn in college. but i never read the book. anyway i don't think there is much to be prepared for in calculus II or mv calc, but ofcourse it would make an interesting read if you have the time.

basically, no that book is not about mv calc, but yes it would be a good idea to read it if you are interested
 
I suspect that the kazdan flanigan book is of course about multivariable calculus. calculus is the technique of approximating non linear functions by linear ones, and the original notes for that book were calculus notes from harvard in the 1960's by jerry kazdan, later turned into a book by him and francis flanigan. i taught out of one vegrsion of it in 1970 or so. it should be a nice easy intro to modern several variables calc. of course you could try reading it instead of deciding which of us to listen to.
 
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