Book Recommendations for Maths

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SUMMARY

This discussion focuses on recommendations for mathematics books, specifically in the areas of introductory number theory, algebra, trigonometry, geometry, and linear algebra. Key suggestions include "Fundamental Concepts of Algebra" and "Modern Algebra: An Introduction" by John R. Durbin (Fifth Edition). The participant expresses a preference for Dover Publications due to their affordability and highlights the need for solidifying understanding in these mathematical subjects. The discussion emphasizes the importance of selecting appropriate texts for both foundational and advanced topics.

PREREQUISITES
  • Understanding of basic calculus concepts (Calc 1-3)
  • Familiarity with differential equations
  • Knowledge of introductory algebra and geometry
  • Awareness of modern algebra principles
NEXT STEPS
  • Research "Fundamental Concepts of Algebra" by Dover Publications
  • Explore "Modern Algebra: An Introduction" by John R. Durbin (Fifth Edition)
  • Investigate linear algebra resources, particularly Dover's offerings
  • Study trigonometry and geometry textbooks for in-depth understanding
USEFUL FOR

Students and educators in mathematics, particularly those seeking to deepen their knowledge in algebra, trigonometry, geometry, and linear algebra. This discussion is beneficial for anyone looking to enhance their mathematical foundation and understanding.

Skrew
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Hello.

I would like recommendations for a couple books.

One which covers introductory number theory, algebra - etc(these looked interesting, I'm not sure which would be best but the "fundamental concepts of algebra" looked pretty good on goggle books -

http://store.doverpublications.com/0486614700.html
http://store.doverpublications.com/0486663418.html
http://store.doverpublications.com/048643480x.html)

One which gives a fairly indepth look at both trig and geometry

And a good linear algebra book.(I looked at these, I'm not sure which would be best -

http://store.doverpublications.com/048663518x.html
http://store.doverpublications.com/0486660141.html
http://store.doverpublications.com/0486635457.html)

I have taken calc 1-3 and done some differential equation stuff but, it feels like I could benefit greatly from looking at these subjects, I feel it would solidify my understanding verses just plugging numbers into equations and following instructions on how to solve them.

Dover books are preferable due to their greatly reduced price.
 
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I can't say much about the linear algebra books, but if you're looking to enter modern algebra, that second book you posted (the green one) is hard to follow (not good as an introductory book). For modern algebra, I can recommend you: "Modern Algebra An Introduction" by John R. Durbin (Fifth Edition) - https://www.amazon.com/dp/0471433357/?tag=pfamazon01-20
 
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