Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Que veut dire au fond la vitesse limite c=3.1010 cm / seconde ? Cela ne veut absolument pas dire que des vitesses égales ou supérieures à c soient impossibles, mais cela signifie qu'apparaîtraient avec elles de toutes nouvelles conditions de vie que nous ne pouvons pas encore nous représenter visuellement, et peut-être, des formes transcendantes à notre expérience terrestre kantienne. Mais cela ne veut absolument pas dire que de telles conditions soient impossibles et peut-être, avec l'extension du domaine de l'expérience, seront-elles représentables. Autrement dit, la vie du monde, avec la vitesse égale à c et a fortiori supérieure à c, est qualitativement différente de celle qui s'observe avec des vitesses inférieures à c, et la transition entre les domaines de cette différence qualitative n'est pensable que comme discontinue. [quatrième de couverture].

Numbers, Complex --- Geometry, Analytic

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Prime numbers are beautiful, mysterious, and beguiling mathematical objects. The mathematician Bernhard Riemann made a celebrated conjecture about primes in 1859, the so-called Riemann hypothesis, which remains one of the most important unsolved problems in mathematics. Through the deep insights of the authors, this book introduces primes and explains the Riemann hypothesis. Students with a minimal mathematical background and scholars alike will enjoy this comprehensive discussion of primes. The first part of the book will inspire the curiosity of a general reader with an accessible explanation of the key ideas. The exposition of these ideas is generously illuminated by computational graphics that exhibit the key concepts and phenomena in enticing detail. Readers with more mathematical experience will then go deeper into the structure of primes and see how the Riemann hypothesis relates to Fourier analysis using the vocabulary of spectra. Readers with a strong mathematical background will be able to connect these ideas to historical formulations of the Riemann hypothesis.

Riemann hypothesis. --- Numbers, Prime.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Identification numbers, Personal --- Identity theft --- Government correspondence --- Law and legislation

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Fluid mechanics. --- Bernoulli numbers --- Mécanique des fluides --- Nombres de Bernoulli --- Fluid mechanics --- Mécanique des fluides

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This exposition is primarily a survey of the elementary yet subtle innovations of several mathematicians between 1929 and 1934 that led to partial and then complete solutions to Hilbert’s Seventh Problem (from the International Congress of Mathematicians in Paris, 1900). This volume is suitable for both mathematics students, wishing to experience how different mathematical ideas can come together to establish results, and for research mathematicians interested in the fascinating progression of mathematical ideas that solved Hilbert’s problem and established a modern theory of transcendental numbers. .

Mathematics. --- Functional analysis. --- Integral equations. --- History. --- Number theory. --- History of Mathematical Sciences. --- Functional Analysis. --- Integral Equations. --- Number Theory. --- Transcendental numbers. --- Numbers, Transcendental --- Irrational numbers --- Number study --- Numbers, Theory of --- Algebra --- Equations, Integral --- Functional equations --- Functional analysis --- Functional calculus --- Calculus of variations --- Integral equations --- Annals --- Auxiliary sciences of history --- Math --- Science