Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in contemporary mathematics as well as computer science. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and elaboratively develops the connections with the epistemological significance.
Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in contemporary math...
This book deals with one of the earliest surviving "abbacus" treatises, one that is by far more orderly than any of the extant predecessors and is also the first to contain a presentation of algebra. The book contains an edition and an English translation of a manuscript from c. 1450. In addition, it features an extensive discussion of the contents of the treatise and its location within early abbacus culture.
This book deals with one of the earliest surviving "abbacus" treatises, one that is by far more orderly than any of the extant predecessors and is ...
A contemporary of Christopher Wren, Robert Boyle, and Isaac Newton, and close friend of all but Newton, Robert Hooke (1635-1703), one of the founders of the early scientific revolution, faded into almost complete obscurity after his death and remained there for nearly three centuries. The result has been that his role in the scientific revolution has been almost totally ignored. He was the first professional scientist worthy of the name, working for the young Royal Society of London as its curator of experiments for four decades. He became the Society's intellectual center, and for a while...
A contemporary of Christopher Wren, Robert Boyle, and Isaac Newton, and close friend of all but Newton, Robert Hooke (1635-1703), one of the founde...
Um 1750 war die mathematische Behandlung von Schwingungsproblemen, die fur die Lehre vom Schall wichtig waren, bereits weit fortgeschritten. Newtons Principia aus dem Jahre 1687 leitete auf dem Gebiet der Akustik eine Periode ausgesprochen theoretischer Forschung ein. Es fehlten jedoch systematische experimentelle Untersuchungen fur dieses Gebiet. Chladnis Erstlingswerk Entdeckungen uber die Theorie des Klanges (1787) brachte die Wende und seine bahnbrechende Monographie Die Akustik aus dem Jahre 1802 beeinflusste diese Wissenschaft bis in die Mitte des 19. Jahrhunderts. Beginnend mit...
Um 1750 war die mathematische Behandlung von Schwingungsproblemen, die fur die Lehre vom Schall wichtig waren, bereits weit fortgeschritten. Newton...
Matvei Petrovich Bronstein with his short life and tragic death (1906-1938) may be seen as a symbol of his time and his Country. One of the most remarkable features of Soviet history was the repressive advance of its physical sciences against the burial and violent background of totalitarianism- Soviet advances in nuclear and space technology form an important part of world history. These achievements had their roots in the 30s, when Bronstein's generation entered science. Among his friends were the famous physicists Lev Landau and George Gamow. Bronstein worked in the vast field of...
Matvei Petrovich Bronstein with his short life and tragic death (1906-1938) may be seen as a symbol of his time and his Country. One of the most remar...
Die allgemeine Relativitastheorie lasst sich nur mit Hilfe des Tensorkalkuls formulieren. Diesen lernte Einstein 1912 in Form des absoluten Differentialkalkuls kennen. Dessen Schopfer war Gregorio Ricci, dem zusammen mit Sophus Lie und anderen der Ausbau der Theorie der Differentialinvarianten gelang. Der absolute Differentialkalkul passte zur allgemeinen Relativitatstheorie wie ein Schlussel zum Schloss: der in den Jahren 1884-92 von Ricci entwickelte Kalkul erfullte in der Tat genau das physikalische Konzept der allgemeinen Relativitatstheorie, das Einstein 1907-15 ausarbeitete. Ein...
Die allgemeine Relativitastheorie lasst sich nur mit Hilfe des Tensorkalkuls formulieren. Diesen lernte Einstein 1912 in Form des absoluten Differe...
This book presents a history of classical mechanics, documenting methods of study from Greece in the fourth century BC to late nineteenth-century Europe. The text assesses effectiveness of forces based on the virtual motion of their points of application.
This book presents a history of classical mechanics, documenting methods of study from Greece in the fourth century BC to late nineteenth-century Euro...
