David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincare, the last mathematical universalist.
Based on a series of lectures for adult students, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination.
From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm.
The Almagest, by the Greek astronomer and mathematician Ptolemy, is the most important surviving treatise on early mathematical astronomy, offering historians valuable insight into the astronomy and mathematics of the ancient world.
Focusing methodologically on those historical aspects that are relevant to supporting intuition in axiomatic approaches to geometry, the book develops systematic and modern approaches to the three core aspects of axiomatic geometry: Euclidean, non-Euclidean and projective.
This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), Resume des lecons sur le calcul infinitesimal, "e;Summary of Lectures on the Infinitesimal Calculus,"e; originally written to benefit his Ecole Polytechnique students in Paris.
Dieses Buch nimmt Sie mit auf eine spannende Reise durch die Welt der Wissenschaft: von den Fallgesetzen des Galilei bis zu Einsteins Gravitationswellen, von Newtons Axiomen bis zum Wasserstoffatom, von der natürlichen Auslese bis zum Schwarmverhalten, von der Skala der Empfindungen bis zu den Grenzen des Wachstums auf unserem Planeten.
A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreationLogic puzzles were first introduced to the public by Lewis Carroll in the late nineteenth century and have been popular ever since.
The Italian mathematician Mario Pieri (1860-1913) played a major role in the development of algebraic geometry and foundations of mathematics around the turn of the twentieth century.
A NEW YORK TIMES BESTSELLERThe official book behind the Academy Award-winning film The Imitation Game, starring Benedict Cumberbatch and Keira KnightleyIt is only a slight exaggeration to say that the British mathematician Alan Turing (19121954) saved the Allies from the Nazis, invented the computer and artificial intelligence, and anticipated gay liberation by decadesall before his suicide at age forty-one.
Unterstützt von vielen historischen Dokumenten und Interviews mit Zeitzeugen geht dieses Werk auf ein bedeutsames Thema der Wissenschaftsgeschichte ein: die Entstehung der modernen Finanzmathematik in der zweiten Hälfte des letzten Jahrhunderts.
Wieviele Schritte muss ein Mensch gehen und wie gefährlich sind seine Wege, wieviel Leid erträgt ein Mensch und woher nimmt er die Kraft, um die einzige Bahn zu beschreiten, die für ihn wichtig ist: die zur Freiheit ohne Verlust seiner Rechtschaffenheit?
Gerhard Gentzen is best known for his development of the proof systems of natural deduction and sequent calculus, central in many areas of logic and computer science today.
Dieses Werk greift die Leibnizforschung von Margot Faak wieder auf und erlaubt dem Leser einen tiefen Einblick in den politischen Werdegang von Gottfried Wilhelm Leibniz, insbesondere seine Zeit als Reichshofrat.
The volume is the first collection of essays that focuses on Gottlob Frege's Basic Laws of Arithmetic (1893/1903), highlighting both the technical and the philosophical richness of Frege's magnum opus.
This book covers the works of Bhaskara, in particular, his monumental treatise on astronomy, the Siddhantasiromani, his astronomical handbook, the Karanakutuhala, and his two mathematical treatises, the Lilavati and the Bijaganita, on arithmetic and algebra, respectively.
This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during.
Bernard Bolzano (1781-1848, Prague) was a remarkable thinker and reformer far ahead of his time in many areas, including philosophy, theology, ethics, politics, logic, and mathematics.
This book provides a fresh view on an important and largely overlooked aspect of the Euclidean traditions in the medieval mathematical texts, particularly concerning the interrelations between geometry and arithmetic, and the rise of algebraic modes of thought.
More than a history of mathematics, this lively book traces mathematical ideas and processes to their sources, stressing the methods used by the masters of the ancient world.
As the famous Pythagorean statement reads, 'Number rules the universe', and its veracity is proven in the many mathematical discoveries that have accelerated the development of science, engineering, and even philosophy.
Dieses Buch gibt einen kompakten Überblick über die historische Entwicklung und Ideengeschichte derjenigen mathematischen Disziplinen, die sich schon bis zur Renaissancezeit weitgehend eigenständig entwickelt haben: Arithmetik, Geometrie, Algebra, Zahlentheorie und mathematische Logik.
Jamshid al-Kashi's Miftah al-Hisab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now.
Although largely unknown today, during his lifetime Mutio Oddi of Urbino (1569-1639) was a highly esteemed scholar, teacher, and practitioner of a wide range of disciplines related to mathematics.