I am looking for a rigorous-calculus based introductory physics textbook with very good conceptual presentations. I would like one that provides mathematical derivations and proofs for the formulas and equations using calculus. I have a calculus based textbook, but it is severely lacking. The book is Wolfson's essential university physics and from a student's perspective, I would say most of the chapters are incomplete. I've been searching around and I have found two books that I am looking to buy. The first is Fundamental of Physics by Halliday, Resnick, and Walker; 9th edition. The latter is University Physics by Young and Freedman; 12th edition. The reason I want a new textbook is because I cannot grasp ideas unless I read, study, derive/prove, and practice physics. I am a self-learner and I cannot learn simply by looking or listening someone else do physics, namely, my professor. I have seen and skimmed through the inside of these books and they both look good. However, I have not read them thoroughly. Does anyone have a suggestion or advice on which book I should get? Other book recommendations are also welcomed. P.S. I probably won't get the newest edition. I will probably get one that's one or two editions old. P.P.S. Thanks in advanced!