This book begins by making some very bold claims, and in a way this is admirable. The author, subtly listed as "a graduate of the university of Cambridge, England" tries to account for his obscurity by claiming that it is simply because of intellectual snobbery that books from people such as him don't get widely recognised. This is a clever but unconvincing disclaimer; the movers and shakers in philosophy are widely known and ridiculously qualified for a reason - and this has nothing to do with snobbery.
The ambitious claims in the introduction soon turn into arrogance. The arguments Berg puts forward are unconvincing, and no new ground is broken as the book claims it would. There is constant misuse of the words 'logical' and 'entity' among many others; and it is written in an infuriating quasi-philosophical manner which isn't in the least bit convincing and is bordering on the self-indulgent. The arguments themselves are nothing new, really - anybody with a little bit of common sense could reason them out, so claims of two of them being 'entirely original' are unfounded. The arguments themselves constantly invoke 'logic' to gloss over centuries of valid theological argument - even though nothing about the arguments is logical (they're just set out in a mock-Aquinas style).
Berg's concept of God and philosophy, and the often irrelevant name-checks of famous thinkers, are primitive and fundamentally have the essence of a naive student - furthermore, the book is riddled with typos, breaks in flow, clumsy sentences and irrelevant exclamation marks. Why Blackwells priced this at £10 (or even sell it) is beyond me.
Even if the very same arguments were presented in a less snotty, more reasonable style and actually WERE acceptable, they would not provide any basis for a belief in atheism. As an atheist and theology student myself I am a little disconcerted that such arguments are branded under the title '...ways of atheism'. A fundamental tenet of the nonbelief system is that the burden of proof lies elsewhere, within the theism camp. This book ignores this, and so ends up looking rather like an idealistic apology - rather like a great number of irrelevant Christian books.