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I've completed 12th grade, with low marks unfortunately, and I wish to study everything again thoroughly, because I both want a career in science, and I find it very interesting as well. The reason I didn't do good was partly my fault, and I think also due to the horrible education system present here. It emphasized too much on take everything for granted, don't question (no point actually, the teachers were unqualified and would confuse you further, showing you how, never telling WHY) and CRAM, CRAM, CRAM. At least, that's the way it was with my teachers.

I would like to know the names of some good books for Chemistry, Maths and Physics, that cover the following topics which I have listed, give in-depth explanations along with problems and if possible, provide solutions as well.

Also, I have been lurking around the site for a while looking at various threads which recommend books, and one thing which has been nagging me is, IF I get the book which Mr. abc recommends, which is by a certain author who has a certain approach, and I don't select another book which Mr. xyz recommends which is by someone else with a different approach, WILL I miss out on anything? Like if I take a certain authors' book on QM instead of someone else's, will I be at a disadvantage? That may be a stupid question but I can't help asking. My main fear is, if I read a book on a particular subject and miss out on something about the subject that is present in another book about the same subject.

Anyways, I'm listing the topics in my text books as further info

Chemistry:

1)The Solid state

2)Solutions

3)Electrochemistry

4)Chemical Kinetics

5)Surface Chemistry

6)General Principles and Processes of Isolation of elements

7)The P Block elements

8)The d and f block elements

9)Coordination compounds

10)Haloalkanes and Haloarenes

11)Alcohols, Phenols and Ethers

12)Aldeheydes, ketones and carboxylic acids

13)Organic compounds containing nitrogen

14)Biomolecules

15)Polymers

16)Chemistry in everyday life

Physics:

1)Electric charges and fields

2)Electrostatic potential and capacitance

3)Current electricity

4)Moving charges and magnetism

5)Magnetism and matter

6)Electromagnetic induction

7)Alternating current

8)Electromagnetic waves

9)Ray optics and optical instruments

10)Wave optics

11)Dual nature of radiation and matter

12)Atoms

13)Nuclei

14)Semiconductor electronics: Materials, devices and simple circuits

15)Communication systems

Maths:

1)Relations and functions

2)Inverse trigonometric functions

3)Matrices

4)Determinants

5)Continuity and differentiability

6)Application of derivatives

7)Integrals

8)Application of integrals

9)Differential equations

10)Vector algebra

11)Three dimensional geometry

12)Linear programming

13)Probability

If there is any information I have left out, please let me know.

Any help will be really appreciated.