Reignite Your Love of Math: Tips to Get Motivated & Textbook Suggestions

[lolgarithms]

How can i get started on studying higher level math again? i got discouraged by proof exercises on the textbooks, i need a fresh start. i feel unmotivated on the subject i thought i loved. how can i motivate myself again? Just about any way to motivate myself would do.

also, could i have a list of textbooks on linear, abstract algebra, topology, differential geometry, real/complex analysis. i have realized that the list needs to start easy and FUN then on to the rigorous parts later.

But first i need a nice multivariable calculus textbook based on differential forms.

 

[NGC224]

I'd say start back with the basics. You know, what you find easy. Then move your way up.

 

[Mene]

I can understand your frustration and lack of motivation when it comes to studying higher level math. It is completely normal to feel discouraged by challenging proof exercises and to feel unmotivated in a subject you once loved. However, there are ways to reignite your love for math and get back on track with your studies.

One way to motivate yourself is to set specific and achievable goals. This can help you stay focused and give you a sense of accomplishment when you reach those goals. You can also try breaking down your study sessions into smaller, more manageable chunks. This can make the material feel less overwhelming and more approachable.

Another strategy is to find a study partner or join a study group. Having someone to discuss concepts and problem solve with can make studying more enjoyable and can also help keep you accountable. Additionally, try to find real-world applications for the math you are studying. Understanding how it can be used in practical situations can make it more interesting and meaningful.

In terms of textbooks, it is important to find ones that are both challenging and enjoyable for you. For multivariable calculus based on differential forms, I would recommend "Multivariable Calculus with Differential Forms" by David Bachman or "Vector Calculus, Linear Algebra, and Differential Forms" by Hubbard and Hubbard. For linear algebra, I suggest "Linear Algebra Done Right" by Sheldon Axler or "Linear Algebra: A Modern Introduction" by David Poole.

For abstract algebra, "A Book of Abstract Algebra" by Charles Pinter or "Abstract Algebra: Theory and Applications" by Thomas Judson are good options. For topology, "Topology" by James Munkres or "Elementary Topology" by O. Ya. Viro et al. are popular choices. For differential geometry, "Introduction to Differential Geometry" by Karen Uhlenbeck or "Differential Geometry of Curves and Surfaces" by Manfredo Do Carmo are recommended.

Finally, for real and complex analysis, "Principles of Mathematical Analysis" by Walter Rudin or "Real and Complex Analysis" by Walter Rudin are standard texts. You can also try "A First Course in Complex Analysis with Applications" by Dennis Zill and Patrick Shanahan for a more applied approach.

Remember, it is important to find the right balance between challenging yourself and enjoying the material. Don't be afraid to try different textbooks or study methods until you find what works best for you. With determination and a fresh start