This invaluable book consists of two parts. Part I is the second edition of the author's widely acclaimed publication Green, Brown, and Probability, which first appeared in 1995. In this exposition the author reveals, from a historical perspective, the beautiful relations between the Brownian motion process in probability theory and two important aspects of the theory of partial differential equations initiated from the problems in electricity — Green's formula for solving the boundary value problem of Laplace equations and the Newton–Coulomb potential. Part II of the book comprises lecture notes based on a short course on “Brownian Motion on the Line” which the author has given to graduate students at Stanford University. It emphasizes the methodology of Brownian motion in the relatively simple case of one-dimensional space. Numerous exercises are included.

This invaluable book consists of two parts. Part I is the second edition of the author's widely acclaimed publication Green, Brown, and Probability, which first appeared in 1995. In this exposition the author reveals, from a historical perspective, the beautiful relations between the Brownian motion process in probability theory and two important aspects of the theory of partial differential equations initiated from the problems in electricity ? Green's formula for solving the boundary value problem of Laplace equations and the Newton-Coulomb potential.Part II of the book comprises lecture notes based on a short course on ?Brownian Motion on the Line? which the author has given to graduate students at Stanford University. It emphasizes the methodology of Brownian motion in the relatively simple case of one-dimensional space. Numerous exercises are included.

This study provides the first comprehensive discussion of conservation in Nazi Germany. Looking at Germany in an international context, it analyses the roots of conservation in the late 19th century, the gradual adaptation of racist and nationalist thinking among conservationists in the 1920s and their indifference to the Weimar Republic. It describes how the German conservation movement came to cooperate with the Nazi regime and discusses the ideological and institutional lines between the conservation movement and the Nazis. Uekoetter further examines how the conservation movement struggled to do away with a troublesome past after World War II, making the environmentalists one of the last groups in German society to face up to its Nazi burden. It is a story of ideological convergence, of tactical alliances, of careerism, of implication in crimes against humanity, and of deceit and denial after 1945. It is also a story that offers valuable lessons for today's environmental movement.

This volume shows modern probabilistic methods in action: Brownian Motion Process as applied to the electrical phenomena investigated by Green et al., beginning with the Newton-Coulomb potential and ending with solutions by first and last exits of Brownian paths from conductors.