Step 1: Understanding the question.
The question concerns a linguistic and historical study related to Tibeto–Chinese civilizations, trade routes, and their language families, particularly regarding the trans-Gangetic and Sino-Tibetan regions.
Step 2: About the correct work.
The book Ueber Herkunft und Sprache der transgangetischen Volker, Vol. I (translated as “On the Origin and Language of the Trans-Gangetic Peoples”) discusses the linguistic and ethnographic relationships among the Tibeto–Chinese and other Asian linguistic groups.
Step 3: Analysis of options.
- (1) Periplus of the Erythraean Sea: A maritime trade document, unrelated to linguistics.
- (2) Linguistics Survey of India Vol. 1: Related to Indian languages, not directly about Sino–Tibetan origins.
- (3) Ueber Herkunft und Sprache der transgangetischen Volker, Vol. I: Correct; focuses on the linguistic and ethnic roots of Tibeto–Chinese peoples.
- (4) Lexigo Statistic Dating of Boro–Garo Linguistic Separation: A modern statistical study, not the referenced classical text.
Step 4: Conclusion.
Hence, the correct answer is (3) Ueber Herkunft und Sprache der transgangetischen Volker, Vol. I.