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Preface 1. From Euler to Legendre 2. From Fourier to Cauchy 3. From Abel to Grassmann 4. From Kummer to Cayley 5. From Hermite to Lie 6. From Cantor to Hilbert 7. From Moore to Takagi 8. From Hardy to Lefschetz 9. From Birkhoff to Alexander 10. From Banach to von Neumann Epilogue Further reading.