help in selecting the proper book

hi guys hope u are fine ....

my question that i need to buy a proper book in collage algebra i don't know what i should i call it i'd like the following topics to be include (what is the name of the book you recommend and what's the keyword should i use to search for it):

-explain to relations and functions...
-polynomyals and all their operations..
-trignometric functions
-exponential functions
-hyperbolic functions
-series (macluren,....)
-binomial theorem
-arithmatic and geometric sequence
-matrices..and all about matrices (every thing) .
-partial fractions
-complex number
-solving 3rd degree equations using complex numbers

another thing the book should include not only the previous functions but also their inverses.....the graphs of each and domains...in general the explaination should be with analytical geometry...if easy derivatives with proofs(this is not important now) of each function...all formulas associated with the prev topics and commonly used in engineering....it may include also other extra engineering topics but at least those should be included.............

how to choose the book...what is the keyword should i use to search for it ...if you recommend any names for books.....also i want a website that let me to see the index of the book while shopping to know whether it's the book that i need or not before buying it.............


thank's for you in advance

1.Higher Algebra Hall and Knight

2.Higher Algebra Bernard and child

thanks for your replay...i searched the internet over those two books but it didn't include all what i want.....so i found another book that i doubt it may contain what i want, i want just to see the index but at amazon.com it didn't let me to look inside to see the index...what can i do to see the index????????????

Algebra: An Elementary Text-book, For The Higher Classes Of Secondary Schools And For Colleges, Volume 1
Algebra: An Elementary Text-book, For The Higher Classes Of Secondary Schools And For Colleges, Volume 2

thnx

h**p://books.google.co.in/books?id=fUvv3zlzA2YC&pg=PR11&source=gbs_selected_pages&cad=3#v=onepage&q&f=false

I've had this book for nearly 2 decades and it still helps me several times a year: https://www.amazon.com/Schaums-Mathematical-Handbook-Formulas-Tables/dp/0070382034
While not intended as a 'how to' text, it provides the essential references across most of the topics you listed.

thank u both thylacine1975 and blooz......i forgot to search in google books....ur book thylacine1975 is very good but i feel that it summurize formulas and tables....but i'd like something that contain explainations...thanks