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Prologue The Liberation of Algebra The Arrival of Calculus Ideas for Vectors Understanding Space (and Storage) A Surprising New Player and a Very Slow Reception Tait and Maxwell: Hatching the Electromagnetic Vector Field The Slow Journey from Quaternions to Vectors Vector Analysis at Last—and a “War” over Quaternions From Space to Space-Time: A New Twist for Vectors Curving Spaces and Invariant Distances: On the Way to Tensors Inventing Tensors—and Why They Matter Everything Comes Together: Tensors and the General Theory of Relativity What Happened Next Epilogue Timeline Acknowledgments Notes Index