This question is a little different from other questions referring to books on QM.
I ask you to tell me some books that have QM on a simpler level than that of a full course on QM. Some universities advice students to buy a book that has generally most of undergraduate material but on a simple level (like Young's or Serways' books University physics). They cover modern physics on a simpler level and help students on the courses "fundamentals of physics". After that semester,students take courses on each subject and delve into them in a more deep manner with more advanced textbooks. I am not asking you to tell me the advanced books (like Griffith's or Dirac's books on QM) but tell me about some simpler books that have QM (and Special relativity if possible).
I ask this because some friends of mine advised me to tackle QM on a more simple manner with simpler mathematics to get the grips on the intuition behind it first, and then go to the full understanding with more advanced textbooks.
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Qmechanic
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TheQuantumMan
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I don't think you can get much better than the physical books Susskind and Hrabovsky's "The Theoretical Minimum". If the words "hamiltonian" and "lagrangian" sound scary to you, then you should pick up both the book "What you need to know to start doing physics" and the book "Quantum Mechanics: The Theoretical Minimum".
The math isn't dumbed down, but is explained in total honesty and gives only the most fundamental results needed (Hence, "the theoretical minimum"). It's much more minimal than, say, Griffith's textbook, but it still covers the essentials honestly!
Anything simpler and I think you would no longer be doing physics! You'd be in the realm of popular science.