Science in the Renaissance

Chapter 1

Astronomy

J.V. Field

• 1. Astronomy as mathematics.

• 2. Calendar reform.

• 3. Academic astronomy.

• 4. Purbach and Regiomontano.

• 5. Nicolaus Copernicus.

• 6. The reception of Copernicus’ astronomy.

• 7. The Landgraf of Hesse.

• 8. Tycho Brahe.

• 9. Johannes Kepler.

• 10. Precision and error.

• 11. Philosophy, natural philosophy and mathematics.

Chapter 2

Mathematical arts

Eberhard Knobloch, Ivo Schneider

• 1. The concept of mathematical sciences

• 2. Mathematics at universities

• 3. Science and methods of mathematics

• 4. Reception and edition of the works of ancient Greek mathematicians

• 5. Niccolò Cusano and cyclometry

• 6. Regiomontanus and trigonometry

• 7. Algebra

• 8. Game theory and combinatorial calculus

• 9. Calendar reform and chronology

• 10. Practical mathematics

Chapter 3

Towards a new mathematics

Enrico Giusti, Paolo Freguglia, Pier Daniele Napolitani, Pierre Souffrin

• 1. Introduction

• 2. Algebra and geometry in the sixteenth century

• 3. The problems of Diophantus: Bombelli, Stevin, Viète and Fermat

• 4. Archimedean studies

• 5. Geometry motus

Chapter 4

Medicine

Nancy Siraisi, Andrea Carlino

• 1. The discipline of medicine

• 2. The anatomy

Chapter 5

Botany and zoology

Jean Céard

• 1. The sciences of Nature between utilitarianism, curiosity and religious sense

• 2. Philology and observation

• 3. Andrea Cesalpino

Chapter 6

Geography, cartography and the beginning of geology

Uta Lindgren

• 1. The geographical horizon of experience

• 2. The globe and the beginnings of geology

Chapter 7

Alchemy

Chiara Crisciani, Michela Pereira, Wolf-Dieter Müller-Jahncke

• 1. Transition from Medieval to Renaissance alchemy

• 2. Paracelsus and the Paracelsists

Chapter 8

Scientific instruments

Anthony J. Turner

• 1. Introduction

• 2. Astronomy, astrology and cosmography

• 3. Navigation

• 4. Land-surveying

• 5. Military instruments

• 6. Time measurement

Chapter 9

The engineers of Renaissance: from technique to technology

Paolo Galluzzi

• 1. Brunelleschi and the construction of the dome of S. Maria del Fiore

• 2. The engineers of Siena: Mariano di Jacopo known as il Taccola and Francesco di Giorgio Martini

• 3. Leonardo da Vinci engineer and naturalist

Chapter 10

Sciences and the arts

Samuel Y. Edgerton, Paolo Gozza, Scott L. Montgomery

• 1. Mathematization of architecture, sculpture and painting

• 2. Music as mathematical art and its theoretical influence on the artistic imagination

• 3. Art as an instrument of scientific representation