There is more than one way to refute an argument.
One way is to argue directly against the assertion, showing it to be wrongheaded.
But another way is to uncover the weak points and expose fallacies. One such approach is to expose internal inconsistencies, thus rendering the argument self-refuting.
Norman Geisler and Daniel McCoy use this strategy in establishing the truth of Christianity in their book The Atheist's Fatal Flaw (BakerBooks, 2014). Geisler and McCoy do their very best to outline arguments against theism as they are presented by atheists such as Sam Harris, Richard Dawkins, Dan Barker, and Christopher Hitchens, quoting from primary sources. Then, through the application of logic, Geisler and McCoy expose problems and impart confidence to those seeking to defend the credibility of Christian claims concerning reality. While this book is technically written, Geisler and McCoy are clear and accessible for those seeking to engage in conversation with skeptics on faith, doubt, and the space between. My familiarity with the classical arguments for theism and for Christian belief, along with my reading of the intellectuals Geisler and McCoy set out to refute, helped my comprehension and enjoyment of this book. But I'd recommend this book to those just getting started with apologetics, as well. The subject matter is broad, and the presentation fresh.
Regarding the progression within this work, Geisler and McCoy address the problem of moral evil, human autonomy and freedom, submission to the divine will and corresponding favor, death, guilt, divine punishment or pardon, and eternal destinies. They then raise specific inconsistencies, and offer an appeal for open inquiry concerning Christian truth claims as Christians present them at their best, rather than as weakened or distorted versions of Christian theology. In each chapter, Geisler and McCoy demonstrate that the atheist's primary objection is not the issue raised, but rather the notion of God in and of itself. Atheists have no problem with morality, nor with naming certain actions as definitively evil. Rather, they have objections to a God would might set conditions to allow evils to occur, or who is a final arbiter concerning morality. They have no objections to restraint of human autonomy and the limiting of freedom, so long as a divine person has not decreed it so. The primary objection, as noted by Geisler and McCoy in each chapter, is to God.
Christians should be skilled in presenting the reasons for what they believe. This requires familiarity with basic arguments against theism, and ready answers that clear away rubble and roadblocks that obscure the pathway to belief. I will keep this volume at the ready on my shelves, and review it from time to time. This is a helpful book, and will have great value to any Christian apologist.
Note: I received this book in exchange for a review.