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Table of Contents
[Pt. 1.] Analysis
Who gave you the epsilon? : Cauchy and the origins of rigorous calculus / Judith V. Grabiner
Evolution of the function concept : a brief survey / Israel Kleiner
S. Kovalevsky : a mathematical lesson / Karen D. Rappaport
Highlights in the history of spectral theory / L.A. Steen
Alan Turing and the central limit theorem / S.L. Zabell
Why did George Green write his essay of 1828 on electricity and magnetism? / I. Grattan-Guinness
Connectivity and smoke-rings : Green's second identity in its first fifty years / Thomas Archibald
The history of Stokes' theorem / Victor J. Katz
The mathematical collaboration of M.L. Cartwright and J.E. Littlewood / Shawnee L. McMurran and James J. Tattersall
Dr. David Harold Blackwell, African American pioneer / Nkechi Agwu, Luella Smith and Aissatou Barry
[pt. 2.] Geometry, topology and foundations
Gauss and the non-Euclidean geometry / George Bruce Halsted
History of the parallel postulate / Florence P. Lewis
The rise and fall of projective geometry / J.L. Coolidge
Notes on the history of geometrical ideas / Dan Pedoe
A note on the history of the Cantor set and Cantor function / Julian F. Fleron
Evolution of the topological concept of "connected" / R.L. Wilder
A brief, subjective history of homology and homotopy theory in this century / Peter Hilton
The origins of modern axiomatics : Pasch to Peano / H.C. Kennedy
C.S. Pierce's philosophy of infinite sets / Joseph W. Dauben
On the development of logics between the two world wars / I. Grattan-Guinness
Dedekind's theorem : [square root of 2] x [square root of 3] = [square root of 6] / David Fowler
[pt. 3.] Algebra and number theory
Hamilton's discovery of quaternions / B.L. van der Waerden
Hamilton, Rodrigues, and the quaternion scandal / Simon L. Altmann
Building an international reputation : the case of J.J. Sylvester (1814-1897) / Karen Hunger Parshall and Eugene Seneta
The foundation period in the history of group theory / Josephine E. Burns
The evolution of group theory : a brief survey / Israel Kleiner
The search for finite simple groups / Joseph A. Gallian
Genius and biographers : the fictionalization of Evariste Galois / Tony Rothman
Hermann Grassmann and the creation of linear algebra / Desmond Fearnley-Sander
The roots of commutative algebra in algebraic number theory / Israel Kleiner
Eisenstein's misunderstood geometric proof of the quadratic reciprocity theorem / Reinhard C. Laubenbacher and David J. Pengelley
Waring's problem / Charles Small
A history of the prime number theorem / L.J. Goldstein
A hundred years of prime numbers / Paul T. Bateman and Harold G. Diamond
The Indian mathematician Ramanujan / G.H. Hardy
Emmy Noether / Clark H. Kimberling
"A marvelous proof" / Fernando Q. Gouvêa
[pt. 4.] Surveys
The International Congress of Mathematicians / George Bruce Halsted
A popular account of some new fields of thought in mathematics / G.A. Miller
A half-century of mathematics / Hermann Weyl
Mathematics at the turn of the millennium / Philip A. Griffiths.
Who gave you the epsilon? : Cauchy and the origins of rigorous calculus / Judith V. Grabiner
Evolution of the function concept : a brief survey / Israel Kleiner
S. Kovalevsky : a mathematical lesson / Karen D. Rappaport
Highlights in the history of spectral theory / L.A. Steen
Alan Turing and the central limit theorem / S.L. Zabell
Why did George Green write his essay of 1828 on electricity and magnetism? / I. Grattan-Guinness
Connectivity and smoke-rings : Green's second identity in its first fifty years / Thomas Archibald
The history of Stokes' theorem / Victor J. Katz
The mathematical collaboration of M.L. Cartwright and J.E. Littlewood / Shawnee L. McMurran and James J. Tattersall
Dr. David Harold Blackwell, African American pioneer / Nkechi Agwu, Luella Smith and Aissatou Barry
[pt. 2.] Geometry, topology and foundations
Gauss and the non-Euclidean geometry / George Bruce Halsted
History of the parallel postulate / Florence P. Lewis
The rise and fall of projective geometry / J.L. Coolidge
Notes on the history of geometrical ideas / Dan Pedoe
A note on the history of the Cantor set and Cantor function / Julian F. Fleron
Evolution of the topological concept of "connected" / R.L. Wilder
A brief, subjective history of homology and homotopy theory in this century / Peter Hilton
The origins of modern axiomatics : Pasch to Peano / H.C. Kennedy
C.S. Pierce's philosophy of infinite sets / Joseph W. Dauben
On the development of logics between the two world wars / I. Grattan-Guinness
Dedekind's theorem : [square root of 2] x [square root of 3] = [square root of 6] / David Fowler
[pt. 3.] Algebra and number theory
Hamilton's discovery of quaternions / B.L. van der Waerden
Hamilton, Rodrigues, and the quaternion scandal / Simon L. Altmann
Building an international reputation : the case of J.J. Sylvester (1814-1897) / Karen Hunger Parshall and Eugene Seneta
The foundation period in the history of group theory / Josephine E. Burns
The evolution of group theory : a brief survey / Israel Kleiner
The search for finite simple groups / Joseph A. Gallian
Genius and biographers : the fictionalization of Evariste Galois / Tony Rothman
Hermann Grassmann and the creation of linear algebra / Desmond Fearnley-Sander
The roots of commutative algebra in algebraic number theory / Israel Kleiner
Eisenstein's misunderstood geometric proof of the quadratic reciprocity theorem / Reinhard C. Laubenbacher and David J. Pengelley
Waring's problem / Charles Small
A history of the prime number theorem / L.J. Goldstein
A hundred years of prime numbers / Paul T. Bateman and Harold G. Diamond
The Indian mathematician Ramanujan / G.H. Hardy
Emmy Noether / Clark H. Kimberling
"A marvelous proof" / Fernando Q. Gouvêa
[pt. 4.] Surveys
The International Congress of Mathematicians / George Bruce Halsted
A popular account of some new fields of thought in mathematics / G.A. Miller
A half-century of mathematics / Hermann Weyl
Mathematics at the turn of the millennium / Philip A. Griffiths.