- #1
Gaco
- 17
- 0
My situation:
I did good in high-school, learned algebra, functions, exp/log functions, limits/continuity, calculus, vectors, trigonometry, diff equations of 1st and 2nd order, and perhaps a few others things I left out. Came out with an A in math and physics, so far so good. Now in college I need a student job and I will try private teaching in math and physics. Problem is that we only borrowed the books in high-school so now I need to purchase some so I can prepare properly for sessions, knowing all theory 100%, perhaps even learn some of the proofs in the process.
So what I'm basically looking for is one or more books that covers the above mentioned subjects, i.e. a pretty wide range of late-high-school, early-college stuff. I would appreciate a book that does logical deduction on the theory. Also I'd love to have the various proofs available to me (proof of pythgoras, a*c=-1, various log calculation rules, differential quotients etc.). I'm not particularily looking for a super duper rigorous book, though I am asking for a somewhat rigous book, not a "calculus for dummies" type of book. However I find it very hard to find such a book, the market seems immense and confusing.
Candidates I have found so far:
Calculus - A Complete Course (Robert A. Adams) -
Pros:Contains just about every subject on my list; a complete package, inexpensive especially considering what I get (link to table of contents: http://vig.pearsoned.co.uk/catalog/academic/product/0,1144,0321270002-TOC,00.html)
Cons:I'm a bit concerned about the depth of the book, how detailed the theory deduction is, if there are any proofs in it etc. I don't don't know if my suspicions are founded though.
Precalculus (Michael Sullivan) 7th Edition 2004 AND perhaps Algebra and Trigonometry (Michael Sullivan) 8th Edition 2007 - http://www.amazon.com/dp/013143120X/?tag=pfamazon01-20 and http://www.amazon.com/dp/0132329034/?tag=pfamazon01-20
Pros:From the look of it, probably more rigorous than "calculus", the little feedback I've found from these two books is positive
Cons:..but to counter that I've found some negative feedback on one of his other books, College Algebra (https://www.amazon.com/dp/0131430920/?tag=pfamazon01-20), hard to find any info/feedback or even a table of contents, a great deal more expensive than "Calculus: A Complete Course.
I'm leaning towards the "Calculus: A Complete Course" because it's a relatively inexpensive package and seems to contain a lot of material, but I'm not sure though.
I very much want more suggestions, but prefer if you have first-hand knowledge the particular book in question.
Thanks :)
I did good in high-school, learned algebra, functions, exp/log functions, limits/continuity, calculus, vectors, trigonometry, diff equations of 1st and 2nd order, and perhaps a few others things I left out. Came out with an A in math and physics, so far so good. Now in college I need a student job and I will try private teaching in math and physics. Problem is that we only borrowed the books in high-school so now I need to purchase some so I can prepare properly for sessions, knowing all theory 100%, perhaps even learn some of the proofs in the process.
So what I'm basically looking for is one or more books that covers the above mentioned subjects, i.e. a pretty wide range of late-high-school, early-college stuff. I would appreciate a book that does logical deduction on the theory. Also I'd love to have the various proofs available to me (proof of pythgoras, a*c=-1, various log calculation rules, differential quotients etc.). I'm not particularily looking for a super duper rigorous book, though I am asking for a somewhat rigous book, not a "calculus for dummies" type of book. However I find it very hard to find such a book, the market seems immense and confusing.
Candidates I have found so far:
Calculus - A Complete Course (Robert A. Adams) -
Pros:Contains just about every subject on my list; a complete package, inexpensive especially considering what I get (link to table of contents: http://vig.pearsoned.co.uk/catalog/academic/product/0,1144,0321270002-TOC,00.html)
Cons:I'm a bit concerned about the depth of the book, how detailed the theory deduction is, if there are any proofs in it etc. I don't don't know if my suspicions are founded though.
Precalculus (Michael Sullivan) 7th Edition 2004 AND perhaps Algebra and Trigonometry (Michael Sullivan) 8th Edition 2007 - http://www.amazon.com/dp/013143120X/?tag=pfamazon01-20 and http://www.amazon.com/dp/0132329034/?tag=pfamazon01-20
Pros:From the look of it, probably more rigorous than "calculus", the little feedback I've found from these two books is positive
Cons:..but to counter that I've found some negative feedback on one of his other books, College Algebra (https://www.amazon.com/dp/0131430920/?tag=pfamazon01-20), hard to find any info/feedback or even a table of contents, a great deal more expensive than "Calculus: A Complete Course.
I'm leaning towards the "Calculus: A Complete Course" because it's a relatively inexpensive package and seems to contain a lot of material, but I'm not sure though.
I very much want more suggestions, but prefer if you have first-hand knowledge the particular book in question.
Thanks :)