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A Forgotten Empire (Vijayanagar): a contribution to the history of India :
This book written by Robert Sewell sometime in 1900 , is probably the most comprehensive account on the rise and fall of the Vijayanagara empire. In this book he also translated two firsthand accounts "Chronica dos reis de Bisnaga" written by Domingos Paes and Fernão Nunes about 1520 and 1535, respectively. These two people were probably horse traders or envoys who visited the capital during its prime days. This is a must read book for anyone who wanted to dig deep into the historic perspective of the Vijayanagara empire.

There are many reprints and editions. You can read this book online also.
ISBN: 9788120601253

Hampi Vijayanagar: Histoire Et Legendes
This book Vasundhara Filliozat describes the history of Vijayanagara in French.
ISBN: 9782911166174

Hampi Ruins Described and Illustrated :
Published in 1917 , this is one among those guidebooks published during the colonial period, mainly aimed at the British officials served in the government. Even after about 100 years, the descriptions in this book pretty matches with what you see on the ground. Of course the travel advices are not valid anymore, though it is curious to read. The paperback and Hardcover reprints (Asian Educational Service) are available.

ISBN: 8120601599
ISBN: 9788170200437
ISBN: 9788170200437

Hampi: The fabled capital of the Vijayanagara Empire :
This is a large coffee table type book published by the state archeology department. The highlights are the essays on various aspects of Vijayanagara history. The photographs on the books were taken by the legendary photographer T S Satyan.

Hampi:
This book on Hampi by John Fritz & George Michell is packed with a large number of photographs and details on Hampi. A highly practical book on any traveler to Hampi.
ISBN: 9788175083363

Hampi:
Written by D.Devakunjari is the official publication by the Archeological Survey of India (buy this from the ASI museum store at Kamalapur)

Hampi Travel Guide:
This handy paperback is part of the series promoted by the Tourism Department. You'll find this guide book at most of the Archeology Survey of India counters across the country.

ISBN: 8187780177
ISBN 9788187780175

Hampi : Monumental Legacy series
Written by Anila Verghese is part of the Monumental Legacy series by Oxford press. A compact practical paperback book aimed visitors to Hampi.

ISBN: 9780195660586

Vedams Books (vedamsbooks.in) is a good source to search and buy books on Indian history and heritage. Another popular place to buy books in India is flipkart.com

Golden Boulders
Climbing Guidebook Hampi
This guidebook contains all the known boulders and rope climbs. It is in English and German alike.
ISBN 978-3-00-041342-1
http://www.geoquest-verlag.de/?q=en/node/481

There above are a few popular book. You will find many more scholastic books on various aspects of Vijayanagara. And of course there are the standard guidebooks like the Lonely Planet, Fodors and the Bigfoot. Most of them reserve a considerable portion to describe Hampi , of course with respect to the guide book standards.