Thursday, April 23, 2020

Books to Study After Calc III

Here is a list of books to study after Calc III (the books I wish I had studied in this order):

  1. Boyce/Diprima or Zill or Blanchard/Devaney/Hall https://smile.amazon.com/Elementary-Differential-Equations-Boundary-Problems-ebook/dp/B073WNJ13R/ https://smile.amazon.com/Differential-Equations-Boundary-Value-Problems-Dennis-ebook/dp/B00B6G3JBE/ https://smile.amazon.com/Differential-Equations-Paul-Blanchard-ebook/dp/B00B6F0F9E/
  2. Lay or Robbin (a personal favorite; his original manuscript for the book is even better) https://smile.amazon.com/Linear-Algebra-Its-Applications-David-ebook/dp/B00XIHIO6E/ https://smile.amazon.com/Matrix-Algebra-Using-MINimal-MATlab-ebook/dp/B00SC80XLS/
  3. Baby Munkres https://smile.amazon.com/Analysis-Manifolds-Advanced-Books-Classics/dp/0201315963/
  4. Bott and Tu https://smile.amazon.com/Differential-Algebraic-Topology-Graduate-Mathematics/dp/0387906134/ 
  5. Munkres https://smile.amazon.com/Topology-Classic-Classics-Advanced-Mathematics/dp/0134689518/ 
  6. Hatcher https://smile.amazon.com/Algebraic-Topology-Allen-Hatcher/dp/0521795400/ 
  7. Kosinsiki https://smile.amazon.com/Differential-Manifolds-Pure-Applied-Mathematics/dp/0124218504/ 
  8. Davis and Kirk (Optional) https://smile.amazon.com/Lecture-Algebraic-Topology-Graduate-Mathematics/dp/0821821601/
  9. do Carmo (Optional) https://smile.amazon.com/Riemannian-Geometry-Manfredo-Perdigao-Carmo/dp/0817634908/
  10. Arnold (Self-Study/Skim) https://smile.amazon.com/Mathematical-Classical-Mechanics-Graduate-Mathematics/dp/0387968903/
  11. Abraham and Robbin (Self-Study?) https://smile.amazon.com/Transversal-mappings-flows-Ralph-Abraham/dp/B0006BR4GQ/
  12. Abraham and Marsden https://smile.amazon.com/Foundations-Mechanics-Ams-Chelsea-Publishing/dp/0821844385/
  13. System Dynamics https://smile.amazon.com/System-Dynamics-William-Palm-III/dp/0073398063/  (I have yet to read this)
  14. Fundamentals of Electrical Circuits https://smile.amazon.com/Fundamentals-Electric-Circuits-Charles-Alexander/dp/0078028221/ (I have yet to read this)
  15. Dorf/Bishop and/or Nise https://smile.amazon.com/Modern-Control-Systems-13th-Richard/dp/0134407628/ https://smile.amazon.com/Control-Systems-Engineering-Norman-Nise-ebook/dp/B00UGE1DJW/
  16. Bullo and Lewis https://smile.amazon.com/Geometric-Control-Mechanical-Systems-Mathematics-ebook/dp/B07ZKTDN9X/
  17. Brunton and Kutz https://smile.amazon.com/Data-Driven-Science-Engineering-Learning-Dynamical-ebook/dp/B07N4BK4CZ/


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