Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin

Lengths, Widths, Surfaces examines Old Babylonian mathematical texts and tablets from approximately 2000-1600 BCE, analyzing their algebraic methods and procedures. Through translations and interpretations of clay tablet problems, the book reconstructs the mathematical techniques and reasoning used by ancient Babylonian scribes. The work presents detailed studies of geometric-algebraic problem solving, including calculations involving fields, canals, and other practical scenarios from Babylonian life. Key mathematical concepts like length, width, surface area and volume are traced through various texts and traditions across Mesopotamia. The analysis extends beyond Babylonia to explore mathematical connections with other ancient cultures, examining how these methods spread and evolved across different regions and time periods. Technical appendices provide translations of source texts and mathematical explanations. At its core, this book reveals how practical problem-solving drove the development of abstract mathematical thinking in ancient civilizations. The work demonstrates the sophisticated nature of early mathematical thought while highlighting its deep connections to everyday concerns and activities.

Readers describe this as a technical, academically-focused examination of Old Babylonian mathematics that requires significant background knowledge. Multiple reviewers note the book's detailed analysis of mathematical tablets and meticulous translation work. Likes: - Comprehensive documentation of mathematical techniques - High-quality reproductions of tablets and diagrams - In-depth linguistic analysis connecting terminology across regions - Clear explanations of geometric methods Dislikes: - Dense, scholarly writing style presents barriers for non-specialists - Assumes advanced knowledge of ancient mathematics and languages - Limited broader historical context - High price point ($130+ for hardcover) Review Sources: Goodreads: 4.0/5 (2 ratings) Amazon: No reviews available Google Books: No reviews available The limited number of public reviews likely reflects the book's specialized academic audience rather than general readership. Most discussion appears in scholarly journals rather than consumer review sites.

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📚 The book reveals that Babylonian mathematics was far more sophisticated than previously thought, using geometric reasoning rather than purely numerical calculations 🏺 Old Babylonian mathematical texts often presented problems through practical scenarios like field dimensions and brick manufacturing, though these were likely pedagogical tools rather than actual real-world problems 👨‍🏫 Jens Høyrup revolutionized our understanding of Babylonian mathematics by showing that what scholars thought were abstract algebraic calculations were actually descriptions of geometric procedures 📐 The mathematical problems in Old Babylonian texts were typically solved through a method called "naive geometry" - using concrete visualization and manipulation of geometric shapes without formal proof 🗓️ The mathematical texts analyzed in the book date from around 1800-1600 BCE, making them some of the oldest known mathematical documents that show complex problem-solving methods