Review Best Textbooks for Calculus and Linear Algebra

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SUMMARY

This discussion reviews several key textbooks for Calculus and Linear Algebra, highlighting their unique features and target audiences. Notable mentions include "Differential and Integral Calculus" by Edmund Landau, which focuses exclusively on proofs, making it suitable for advanced learners. "Introduction to Linear Algebra" by Marvin Marcus and "Elementary Analysis: The Theory of Calculus" by Kenneth A. Ross are also recommended for their comprehensive coverage. The thread encourages users to contribute additional textbook suggestions for review.

PREREQUISITES
  • Understanding of calculus concepts and terminology
  • Familiarity with linear algebra fundamentals
  • Ability to analyze mathematical proofs
  • Basic knowledge of mathematical literature
NEXT STEPS
  • Research "Differential and Integral Calculus" by Edmund Landau for advanced proof techniques
  • Explore "Elementary Analysis: The Theory of Calculus" by Kenneth A. Ross for foundational calculus theory
  • Investigate "Problems in Calculus of One Variable" for practical problem-solving skills
  • Review "New Horizons in Geometry" by Tom Apostol for geometric insights in mathematics
USEFUL FOR

Students, educators, and mathematics enthusiasts seeking comprehensive resources for mastering Calculus and Linear Algebra will benefit from this discussion.

theoristo
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I found some very interesting reading and would like to see the review of the avid textbook readers on this site:

Differential and Integral Calculus 3EDby Edmund Landau https://www.amazon.com/dp/0821828304/?tag=pfamazon01-20(who loves proofs?,this book contain only proofs,so only for those smart enough to learn this way)
Introduction to Linear Algebra by Marvin Marcus https://www.amazon.com/dp/0821828304/?tag=pfamazon01-20
Infinitesimal Calculus (Dover Books on Mathematics) by James M. Henle https://www.amazon.com/dp/0486428869/?tag=pfamazon01-20
Elementary Analysis: The Theory of Calculus
Kenneth A. Ross https://www.amazon.com/dp/038790459X/?tag=pfamazon01-20
Problems in Calculus of One Variable https://www.amazon.com/dp/8123902522/?tag=pfamazon01-20(this is a russian problem book,so it must be good)
New Horizons in Geometry (Dolciani Mathematical Expositions) Tom Apostol
https://www.amazon.com/dp/088385354X/?tag=pfamazon01-20
 
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