Quantum Theory - Reality and Mystery

Quantum theory is often regarded as strange and even irrational. For example, it appears to say that electrons are both particles and waves, or that a cat can be both alive and dead simultaneously. And yet, physicists regularly use it, and with great success.
How can science rely on an irrational theory? Is there something wrong with quantum theory, or should we rather change the accepted notions of reason and rationality?
This book, intended for the general reader, presents quantum theory with its historical development, the conceptual problems that it raises, and the main solutions proposed for these problems.