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What is the Genus
Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Al…
- Edition
- -
- ISBN/ISSN
- 978-3-319-42312-8
- Collation
- XVII, 184
- Series Title
- -
- Call Number
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Historiography of Mathematics in the 19th and 20th Centuries
This book addresses the historiography of mathematics as it was practiced during the 19th and 20th centuries by paying special attention to the cultural contexts in which the history of mathematics was written. In the 19th century, the history of mathematics was recorded by a diverse range of people trained in various fields and driven by different motivations and aims. These backgrounds oft…
- Edition
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- ISBN/ISSN
- 978-3-319-39647-7
- Collation
- X, 276
- Series Title
- -
- Call Number
- 510 HIS
Recollections of a Jewish Mathematician in Germany
Abraham A. Fraenkel was a world-renowned mathematician in pre–Second World War Germany, whose work on set theory was fundamental to the development of modern mathematics. A friend of Albert Einstein, he knew many of the era’s acclaimed mathematicians personally. He moved to Israel (then Palestine under the British Mandate) in the early 1930s. In his autobiography Fraenkel describes his earl…
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- ISBN/ISSN
- 978-3-319-30847-0
- Collation
- -
- Series Title
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- Call Number
- 510.9
Varying Gravity Dirac’s Legacy in Cosmology and Geophysics
The main focus of this book is on the interconnection of two unorthodox scientific ideas, the varying-gravity hypothesis and the expanding-earth hypothesis. As such, it provides a fascinating insight into a nearly forgotten chapter in both the history of cosmology and the history of the earth sciences. The hypothesis that the force of gravity decreases over cosmic time was first proposed by …
- Edition
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- ISBN/ISSN
- 978-3-319-24379-5
- Collation
- 4 b/w illustrations, 12 illustrations in colour
- Series Title
- -
- Call Number
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Turning Points in the History of Mathematics
This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and …
- Edition
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- ISBN/ISSN
- 978-1-4939-3264-1
- Collation
- 38 b/w illustrations, 13 illustrations in colour
- Series Title
- -
- Call Number
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Turing’s Revolution The Impact of His Ideas about Computability
This book provides an overview of the confluence of ideas in Turing’s era and work and examines the impact of his work on mathematical logic and theoretical computer science. It combines contributions by well-known scientists on the history and philosophy of computability theory as well as on generalised Turing computability. By looking at the roots and at the philosophical and technical infl…
- Edition
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- ISBN/ISSN
- 978-3-319-22156-4
- Collation
- 17 b/w illustrations, 1 illustrations in colour
- Series Title
- -
- Call Number
- -
Turning Points in the History of Mathematics
This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and …
- Edition
- -
- ISBN/ISSN
- 978-1-4939-3264-1
- Collation
- IX, 109
- Series Title
- -
- Call Number
- -
Modern Logic 1850-1950, East and West
This book presents diverse topics in mathematical logic such as proof theory, meta-mathematics, and applications of logic to mathematical structures. The collection spans the first 100 years of modern logic and is dedicated to the memory of Irving Anellis, founder of the journal 'Modern Logic', whose academic work was essential in promoting the algebraic tradition of logic, as represented by Ch…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-24754-0
- Collation
- XIII, 258
- Series Title
- Studies in Universal Logic
- Call Number
- -
Euclidean Geometry and its Subgeometries
In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomatic treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and isom…
- Edition
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- ISBN/ISSN
- 978-3-319-23775-6
- Collation
- 59 b/w illustrations
- Series Title
- -
- Call Number
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Ernst Zermelo An Approach to His Life and Work
This biography sheds light on all facets of the life and the achievements of Ernst Zermelo (1871-1953). Zermelo is best-known for the statement of the axiom of choice and his axiomatization of set theory. However, he also worked in applied mathematics and mathematical physics. His dissertation, for example, promoted the calculus of variations, and he created the pivotal method in the theory of …
- Edition
- -
- ISBN/ISSN
- 978-3-662-47997-1
- Collation
- 43 b/w illustrations
- Series Title
- -
- Call Number
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