The unpublished notes of the author, some of which were found in 1957, contained many discoveries: the ways in which the author's ideas developed. This title features two lengthy appendices that include these.
The unpublished notes of the author, some of which were found in 1957, contained many discoveries: the ways in which the author's ideas developed. Thi...
Focuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillatory process, and the Brownian bridge), this book presents four different proofs of the Feynman-Kac formula.
Focuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillato...
In this title, Hawkins places Lebesgue's early work on integration theory within its proper historical context by relating it to the developments during the 19th century that motivated it and gave it significance and also to the contributions made in this field by Lebesgue's contemporaries. Hawkins was awarded the 1997 MAA Chauvenet Prize and the 2001 AMS Albert Leon Whiteman Memorial Prize for notable exposition and exceptional scholarship in the history of mathematics.
In this title, Hawkins places Lebesgue's early work on integration theory within its proper historical context by relating it to the developments duri...
Includes Gauss' number-theoretic works. This title provides papers that include a fourth, fifth, and sixth proof of the Quadratic Reciprocity Law, researches on biquadratic residues, quadratic forms, and other topics. It also includes an appendix and concl
Includes Gauss' number-theoretic works. This title provides papers that include a fourth, fifth, and sixth proof of the Quadratic Reciprocity Law, res...
Contains the author's Constructive Theory of Partitions, papers on Binary Matrices, and the lectures on the Theory of Reciprocants. This title provides an index and biographical notice of the author.
Contains the author's Constructive Theory of Partitions, papers on Binary Matrices, and the lectures on the Theory of Reciprocants. This title provide...
Based on lectures given by the author at the University of Chicago in 1956, this work covers such topics as recurrence, the ergodic theorems, and a general discussion of ergodicity and mixing properties. It is suitable for use for a one-semester course in
Based on lectures given by the author at the University of Chicago in 1956, this work covers such topics as recurrence, the ergodic theorems, and a ge...
Covers groups, linear groups, applications of group theory, and algebraic numbers. This book includes includes abelian groups, the group of a cyclotomic field, cubic and biquadratic fields and the study of general groups. It also looks at groups of linear
Covers groups, linear groups, applications of group theory, and algebraic numbers. This book includes includes abelian groups, the group of a cyclotom...
Intending to take his readers very much into his confidence: as he builds the theory, the author points out the alternative paths he might have taken, the alternative definitions he might have used, he shows what the implications of these alternatives are,
Intending to take his readers very much into his confidence: as he builds the theory, the author points out the alternative paths he might have taken,...
