Ivor Grattan-Guinness is a professor emeritus of the history of mathematics and logic at Middlesex University. He is author of Convolutions in French Mathematics, 1800-1840: From the Calculus and Mechanics to Mathematical Analysis and Mathematical Physics and editor of the Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, also published by Johns Hopkins.

• Preface1. Searching for Reasons: My Way In and OnwardPart I: Highways in the History of Mathematics2. The Mathematics of the Past: Distinguishing Its History from Our Heritage3. Decline, Then Recovery: An Overview of Activity in the History of Mathematics during the Twentieth Century4. On Certain Somewhat Neglected Features of the History of Mathematics5. General Histories of Mathematics? Of Use? To Whom?6. Too Mathematical for Historians, Too Historicalfor Mathematicians7. History of Science Journals: "To Be Useful, and to the Living"?8. Scientific Revolutions as Convolutions? A Skeptical InquiryPart 2: Pathways in Mathematics Education9. On the Relevance of the History of Mathematics to Mathematical Education10. Achilles Is Still Running11. Numbers, Magnitudes, Ratios, and Proportions in Euclid's Elements: How Did He Handle Them?12. Some Neglected Niches in the Understanding and Teaching of Numbers and Number Systems13. What Was and What Should Be the Calculus?Part 3: Byways in Mathematics and its Culture14. Manifestations of Mathematics in and around the Christianities: Some Examples and Issues15. Christianity and Mathematics: Kinds of Links, and the Rare Occurrences after 175016. Mozart 18, Beethoven 32: Hidden Shadows of Integers in Classical Music17. Lagrange and Mozart as Critics of DescartesPart 4: Lollipops18. Four Pretty but Little-Known Theorems Involving the TriangleIndex

Here, Grattan-Guinness, one of the world's leading mathematics historians, has written the seminal how-to-book for the history of mathematics... This reviewer found the book hard to put down. Choice 2010 In spite of the great variation in themes, the book is quite coherent and gives anyone dealing with the history of mathematics food for thought. -- Teun Koetsier History and Philosophy of Logic 2010