**History of Mathematics**

Volume: 13;
1998;
288 pp;
Hardcover

MSC: Primary 01;

Print ISBN: 978-0-8218-0612-8

Product Code: HMATH/13

List Price: $102.00

AMS Member Price: $81.60

MAA Member Price: $91.80

**Electronic ISBN: 978-1-4704-3881-4
Product Code: HMATH/13.E**

List Price: $96.00

AMS Member Price: $76.80

MAA Member Price: $86.40

# Mathematics and Mathematicians: Mathematics in Sweden before 1950

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*Lars Gårding*

A co-publication of the AMS and the London Mathematical Society

This book is about mathematics in Sweden between 1630 and 1950—from S.
Klingenstierna to M. Riesz, T. Carleman, and A. Beurling. It tells the
story of how continental mathematics came to Sweden, how it was received,
and how it inspired new results. The book contains a biography of
Gösta Mittag-Leffler, the father of Swedish mathematics, who
introduced the Weierstrassian theory of analytic functions and
dominated a golden age from 1880 to 1910.

Important results are analyzed and re-proved in modern notation,
with explanations of their relations to mathematics at the time. The
book treats Bäcklund transformations, Mittag-Leffler's theorem,
the Phragmén-Lindelöf theorem and Carleman's contributions
to the spectral theorem, quantum mechanics, and the asymptotics of
eigenvalues and eigenfunctions. Other important features include
sketches of personalities and university life.

Features:

- Presents the first thorough treatment of mathematics in Sweden.
- Discusses the work of the great mathematicians and the development of mathematics throughout Europe.
- Brings the mathematics of an era to life in an informative and highly readable way.

#### Readership

Graduate students, research mathematicians, and historians interested in scientific mathematics.

#### Reviews & Endorsements

The text brings an expert overview of the development of mathematics, presented in a master style that reflects a deep insight into the subject. Thus the readers learn important facts from the history of mathematics and extend their previous knowledge in fields that do not exactly overlap their own specialties. This book on mathematics and mathematicians is strongly recommended to anybody who likes mathematics and its history.

-- European Mathematical Society Newsletter

This book is an extremely readable history of mathematics in Sweden up to 1950 … strongly recommended to anybody who likes mathematics and its history.

-- European Mathematical Society Newsletter

Gives an in-depth look at the mathematical scene in Sweden … This is a book written by a mathematician for mathematicians—besides biographical and historical material, the author devotes much space to the mathematical content involved. He does not hesitate to express his opinions, often with a dry wit.

-- Zentralblatt MATH

#### Table of Contents

# Table of Contents

## Mathematics and Mathematicians: Mathematics in Sweden before 1950

- Cover Cover11
- Title page iv5
- Contents v6
- Photograph Credits ix10
- Preface to the Swedish edition xi12
- Preface to the American edition xiii14
- The eighteenth century 116
- The time 1800–1850 924
- A new time in Uppsala and Lund 1860–1890 3348
- Algebraic geometry in Lund before 1900 4156
- Bäcklund 5166
- Uppsala 1860–1900 6580
- Gösta Mittag-Leffler—A biography 7388
- Mittag-Leffler’s and Sonya Kovalevski’s mathematical papers 85100
- Astronomy and optics 97112
- Stockholm University 1880–1920 I 109124
- Stockholm University 1880–1920 II 133148
- Uppsala 1900–1930 155170
- Lund 1900–1925 171186
- Stockholm 1925–1950 185200
- Lund 1925–1950 219234
- Uppsala 1930–1950 247262
- Mathematicians in Sweden 271286
- Postscript 283298
- Index 285300
- Back Cover Back Cover1304