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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