Why Do Linear Algebra Books Promise Applications Yet Deliver So Few?

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SUMMARY

Many Linear Algebra textbooks, including "Linear Algebra with Applications" by Strang and "Linear Algebra And Its Applications" by David C Lay, often promise applications but deliver minimal practical examples. The discussion highlights "Linear Algebra and Its Applications" by Poole as a notable exception, providing a solid foundation for beginners. Users express frustration over the lack of depth in application coverage, particularly when transitioning to advanced topics like Quantum Mechanics (QM). Recommendations include exploring "Linear Algebra and Matrix Theory" by Evar Nering for its practical applications in various fields.

PREREQUISITES
  • Understanding of basic Linear Algebra concepts
  • Familiarity with mathematical notation and terminology
  • Knowledge of Quantum Mechanics fundamentals (for advanced applications)
  • Basic skills in problem-solving and mathematical reasoning
NEXT STEPS
  • Research "Linear Algebra and Matrix Theory" by Evar Nering for practical applications
  • Explore advanced topics in Quantum Mechanics and their reliance on Linear Algebra
  • Investigate applications of Linear Algebra in communications theory and differential equations
  • Study the role of Linear Algebra in optimization problems, particularly in linear programming
USEFUL FOR

Students and professionals in mathematics, physics, and engineering fields, particularly those seeking to understand the practical applications of Linear Algebra in advanced studies and real-world scenarios.

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Sorry if I sound naive but why do so many Linear Algebra books have the titles "and applications" only to give maybe one snippet of applications in each chapter.. I feel ripped off by those titles. I have Linear Algebra with Applications by Strang, Linear Algebra And Its Applications by David C Lay, Poole's Linear Algebra and some other random websites books, etc. Poole's book is very, very good and it actually does have applications but I'm ready to move on now and get into more of the advanced stuff in LA. Poole's book covers the basics really well and I would highly recommend it to anyone first studying LA. Every time I hear about Linear Algebra the first thing that is said is "Linear Algebra is a very important subject with many applications..."

From what I gathered it's used in QM a lot but I don't think I'm really ready for QM just yet. So, are there any good books for Linear Algebra's applications? Or should I just jump into QM right now? Thanks for any help.
 
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