Hardcover ISBN:  9780883855690 
Product Code:  SPEC/63 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781614445043 
Product Code:  SPEC/63.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Hardcover ISBN:  9780883855690 
eBook: ISBN:  9781614445043 
Product Code:  SPEC/63.B 
List Price:  $115.00$90.00 
MAA Member Price:  $86.25$67.50 
AMS Member Price:  $86.25$67.50 
Hardcover ISBN:  9780883855690 
Product Code:  SPEC/63 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781614445043 
Product Code:  SPEC/63.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Hardcover ISBN:  9780883855690 
eBook ISBN:  9781614445043 
Product Code:  SPEC/63.B 
List Price:  $115.00$90.00 
MAA Member Price:  $86.25$67.50 
AMS Member Price:  $86.25$67.50 

Book DetailsSpectrumVolume: 63; 2009; 431 pp
This book picks up the history of mathematics from where Sherlock Holmes in Babylon left it. The forty articles of Who Gave You the Epsilon? continue the story of the development of mathematics into the nineteenth and twentieth centuries. The articles have all been published in the Mathematical Association of America journals and are in many cases written by distinguished mathematicians such as G. H. Hardy and B. van der Waerden. The articles are arranged thematically to show the development of analysis, geometry, algebra and number theory through this period. Each chapter is preceded by a Foreword, giving the historical background and setting and the scene, and is followed by an Afterword, reporting on advances in our historical knowledge and understanding since the articles first appeared. This book is ideal for anyone wanting to explore the history of mathematics.

Table of Contents

Analysis [ MR 2605650 ]

Foreword

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. GrattanGuinness

Connectivity and SmokeRings: 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

Afterword

Geometry, Topology and Foundations [ MR 2605650 ]

Foreword

Gauss and the NonEuclidean 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. Peirce’s Philosophy of Infinite Sets, Joseph W. Dauben

On the Development of Logics between the two World Wars, I. GrattanGuinness

Dedekind’s Theorem: $\sqrt {2}\times \sqrt {3}=\sqrt {6}$, David Fowler

Afterword

Algebra and Number Theory [ MR 2605650 ]

Foreword

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 FearnleySander

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

Afterword

Surveys [ MR 2605650 ]

Foreword

The International Congress of Mathematicians, George Bruce Halsted

A Popular Account of Some New Fields of Thought in Mathematics, G. A. Miller

A Halfcentury of Mathematics, Hermann Weyl

Mathematics at the Turn of the Millennium, Philip A. Griffiths

Afterword


Reviews

As a collection of interesting articles on the history of 19th and 20thcentury mathematics, the present volume is hard to beat. The 41 papers, covering many diverse areas, not just calculus, are mostly accessible to undergraduate mathematics majors, yet their professors will also likely enjoy them and learn quite a bit as well. Highly Recommended.
C. Bauer, Choice 
The present volume is a sequel to Sherlock Holmes in Babylon and other tales of mathematical history, MAA Spectrum, Math Assoc. America, Washington, DC, 2004. The earlier book treated the period before 1800, while this book describes developments in the 19th and 20th centuries. It is an anthology of over 40 papers previously published in journals of the Mathematical Association of America, the majority in the American Mathematical Monthly, about a third in Mathematics Magazine and two in the College Mathematics Journal. Except for seven .Monthly papers from the years 1900 (2), 1913, 1920, 1934, 1937, and 1951, all the papers appeared between 1972 and 2000 inclusive. Many of the authors are respected historians of mathematics. Each of the four chapters is bracketed by a Foreword that gets forth the themes and an Afterward that provides a guide for further reading. There is a good mixture of material that focuses on mathematical developments and that treats the personalities and sociology of the mathematical community. For some topics, the treatment is quite detailed. In such a collection as this, the choice of topics is of necessity unbalanced; the papers are sorted into three chapters under the broad themes of analysis, geometry and axiomatics, and algebra and number theory. The final chapter includes three papers that survey the state of mathematics at the beginning, the midpoint and the end of the 20th century. This collection can be read with profit and enjoyment by both professional mathematicians and undergraduate students specializing in mathematics.
E.J. Barbeau, Mathematical Reviews


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 Book Details
 Table of Contents
 Reviews
 Requests
This book picks up the history of mathematics from where Sherlock Holmes in Babylon left it. The forty articles of Who Gave You the Epsilon? continue the story of the development of mathematics into the nineteenth and twentieth centuries. The articles have all been published in the Mathematical Association of America journals and are in many cases written by distinguished mathematicians such as G. H. Hardy and B. van der Waerden. The articles are arranged thematically to show the development of analysis, geometry, algebra and number theory through this period. Each chapter is preceded by a Foreword, giving the historical background and setting and the scene, and is followed by an Afterword, reporting on advances in our historical knowledge and understanding since the articles first appeared. This book is ideal for anyone wanting to explore the history of mathematics.

Analysis [ MR 2605650 ]

Foreword

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. GrattanGuinness

Connectivity and SmokeRings: 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

Afterword

Geometry, Topology and Foundations [ MR 2605650 ]

Foreword

Gauss and the NonEuclidean 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. Peirce’s Philosophy of Infinite Sets, Joseph W. Dauben

On the Development of Logics between the two World Wars, I. GrattanGuinness

Dedekind’s Theorem: $\sqrt {2}\times \sqrt {3}=\sqrt {6}$, David Fowler

Afterword

Algebra and Number Theory [ MR 2605650 ]

Foreword

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 FearnleySander

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

Afterword

Surveys [ MR 2605650 ]

Foreword

The International Congress of Mathematicians, George Bruce Halsted

A Popular Account of Some New Fields of Thought in Mathematics, G. A. Miller

A Halfcentury of Mathematics, Hermann Weyl

Mathematics at the Turn of the Millennium, Philip A. Griffiths

Afterword

As a collection of interesting articles on the history of 19th and 20thcentury mathematics, the present volume is hard to beat. The 41 papers, covering many diverse areas, not just calculus, are mostly accessible to undergraduate mathematics majors, yet their professors will also likely enjoy them and learn quite a bit as well. Highly Recommended.
C. Bauer, Choice 
The present volume is a sequel to Sherlock Holmes in Babylon and other tales of mathematical history, MAA Spectrum, Math Assoc. America, Washington, DC, 2004. The earlier book treated the period before 1800, while this book describes developments in the 19th and 20th centuries. It is an anthology of over 40 papers previously published in journals of the Mathematical Association of America, the majority in the American Mathematical Monthly, about a third in Mathematics Magazine and two in the College Mathematics Journal. Except for seven .Monthly papers from the years 1900 (2), 1913, 1920, 1934, 1937, and 1951, all the papers appeared between 1972 and 2000 inclusive. Many of the authors are respected historians of mathematics. Each of the four chapters is bracketed by a Foreword that gets forth the themes and an Afterward that provides a guide for further reading. There is a good mixture of material that focuses on mathematical developments and that treats the personalities and sociology of the mathematical community. For some topics, the treatment is quite detailed. In such a collection as this, the choice of topics is of necessity unbalanced; the papers are sorted into three chapters under the broad themes of analysis, geometry and axiomatics, and algebra and number theory. The final chapter includes three papers that survey the state of mathematics at the beginning, the midpoint and the end of the 20th century. This collection can be read with profit and enjoyment by both professional mathematicians and undergraduate students specializing in mathematics.
E.J. Barbeau, Mathematical Reviews