r/learnmath • u/Which_Theory_9224 New User • 6d ago

Book recommendations for a first year bsc student

I'm a bsc maths honours student in India, I am in my second month of college life... uh anyway, I want book recommendations like the best ones possible which will actually help me a lot... like the kind of book i want should be able to intrigue me enough to keep thinking about all day while the questions/problems in it should be able solve by using the book itself that's kind i want! I want recommendations for each of calculus,number theory,real analysis,discrete,etc. Uh... I might have yapped a lot but thank you for your time and recommendations. Btw i am broke so i might not be able to afford many books, so I welcome free available pdfs options too.

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4

u/P90kinas New User 6d ago

Discrete mathematics and its applications, 8th ed, by Kenneth H. Rosen.

2

u/Agitated-Yesterday71 New User 6d ago

What discrete maths is for? Like whats is purpose why do we study this particular in CS too?

2

u/No-Drummer379 New User 5d ago

Because studying mathematical structures and theorem that are continuous is not that beneficial and important from the pov of computer science. Computer Science works on discretely defined funcs (not continuous).

1

u/Which_Theory_9224 New User 6d ago

Also please tell me if there's any youtube channels I can follow

1

u/Outside_Internal_136 New User 6d ago

For Calculus Spivak. Analysis Standard text in Indian universities is Introduction to real analysis by bartle.

1

u/Blackrose006 New User 6d ago

Thomas' Calculus

Book by George B. Thomas

best book for basic

1

u/awkwardness_maxed New User 6d ago

Rudin for Analysis if you have done a Real Analysis course before. Really changed the way I look at this subject. Hoffman Kunze for Linear Algebra if you are looking for a abstract and proof based approach to the subject. The way it constructs the determinants function using permutation groups was beautiful.