Math texts that make you fall in love all over again

[M Quack]

Not a textbook, but it certainly inspired me, has a solid math background, and is good for casual reading:

Doug Hofstadter: Godel Escher Bach: An eternal golden braid.

https://www.amazon.com/dp/0465026567/?tag=pfamazon01-20

 

[sukalp]

What is mathematics? richard courant ---> difficult book to follow for me personally but an excellent holistic introduction to mathematics fundamentals.

Book of proof. really rigourous and good intro to basic foundations of maths. FREE HEREhttp://www.people.vcu.edu/~rhammack/BookOfProof/

Elias zakon lecture notes ---> can be found free online, legally.

Discrete mathematics by Norman biggs (I ordered the Indian economy edition on amazon much cheaper).
link for you: https://www.amazon.com/dp/0198507178/?tag=pfamazon01-20

how to think about analysis
https://www.amazon.com/dp/0198723539/?tag=pfamazon01-20

well it is easy mathematics is a study of quantities represented in form of numerals.
numerals-symbols used to represent numbers.

 

[sukalp]

math text that make us fall in love all over again is physics,chemistry problem solving books helps make us fall in love in maths.
as physics,chemistry are a part of science and laws of nature are written in language of maths .

science needs proof of theory written upon particular phenomenon maths makes that proof

 

[Logical Dog]

well it is easy mathematics is a study of quantities represented in form of numerals.
numerals-symbols used to represent numbers.

teach me your ways sensei

 

[sukalp]

teach me your ways sensei

okay so sensi is
step 1-Break concepts part by part
step 2-Skim the first half concepts
step 3-Then understand the half concepts ,underline notes,think in form of pictures,do lovingly
step 4-Then next do review
step 5-follow step 1,2,3,4 for 2nd half concepts
step 6-review the chapter Revise again and again ,take practical examples,give test ,join quiz,join forums
solve sample papers
done

 

[Logical Dog]

okay so sensi is
step 1-Break concepts part by part
step 2-Skim the first half concepts
step 3-Then understand the half concepts ,underline notes,think in form of pictures,do lovingly
step 4-Then next do review
step 5-follow step 1,2,3,4 for 2nd half concepts
step 6-review the chapterRevise again and again ,take practical examples,give test ,join quiz,join forums
solve sample papers
done

There is no generic algorithm for learning maths effectively.. What you have suggested is what the kids do at as and a level, that's no way of learning math imo. good try nonetheless. You must also remember everyone has a different version of what they believe is "having learned something"...there are many levels to every statement in a subject, then there is the philosophy and history, we think we have learned "enough" because we can convince ourselves and draw the line somewhere. It will take me years to be able to say to myself, yes, I have learned mathematics.

edit: I have slept two hours in the past two days, not had my medicines so may not be as eloquent as usual :P apologies

 

[sukalp]

There is no algorithm for learning. What you have suggested is what the kids do at as and a level, that's no way of learning math imo. good try nonetheless. You must also remember everyone has a different version of what they believe is "having learned something"...

it is steps how to use spacing effect technique for learning it is better than cramming
from this link i have learned

 

[jedishrfu]

Let us not forget the ET Bell book Men of Mathematics and the Lancelot Hogben book Mathematics in the Making which has been the inspiration for many well known scientists and mathematicians.

https://en.wikipedia.org/wiki/Men_of_Mathematics

 

[Logical Dog]

https://global.oup.com/academic/pro...athematics-major-9780199661312?cc=de&lang=en&

Another good book from Ms. Alcock.

 

[MidgetDwarf]

I would say it was Edwin E Moise: Geometry. It made me enjoy mathematics and I learned a lot of things that were left out of my geometry course.

Kleppner and Kolenkow made me enjoy physics. I found it extremely boring before I found this book.

 

[Aufbauwerk 2045]

Although it's not a math book, when I was a student I was inspired to learn more math by reading Einstein's original paper on special relativity, the famous On the Electrodynamics of Moving Bodies. It encouraged me because I was not very far from knowing all the math in the paper, specifically partial differential equations, so I saw the light at the end of the tunnel. The same thing happened when I was learning about general relativity.

I was also inspired by reading Ulam's autobiography. He was a mathematician who was instrumental in the development of the H-bomb. He wrote about how amazed he was when he realized that a few mathematical symbols on a piece of paper could change the world.

In other words, nothing motivates me to learn math more than seeing how powerful it is when it comes to understanding the universe!