Solid Geometry

Solid Geometry
Author: Percival Frost
Publisher:
Total Pages: 444
Release: 1886
Genre: Geometry, Solid
ISBN:

A Course of Pure Mathematics

A Course of Pure Mathematics
Author: Godfrey Harold Hardy
Publisher:
Total Pages: 472
Release: 1921
Genre: History
ISBN:

A Course of Pure Mathematics by Godfrey Harold Hardy, first published in 1921, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it.

So You've Been Publicly Shamed

So You've Been Publicly Shamed
Author: Jon Ronson
Publisher: Penguin
Total Pages: 306
Release: 2015-03-31
Genre: Social Science
ISBN: 0698172523

Now a New York Times bestseller and from the author of The Psychopath Test, a captivating and brilliant exploration of one of our world's most underappreciated forces: shame. 'It's about the terror, isn't it?' 'The terror of what?' I said. 'The terror of being found out.' For the past three years, Jon Ronson has travelled the world meeting recipients of high-profile public shamings. The shamed are people like us - people who, say, made a joke on social media that came out badly, or made a mistake at work. Once their transgression is revealed, collective outrage circles with the force of a hurricane and the next thing they know they're being torn apart by an angry mob, jeered at, demonized, sometimes even fired from their job. A great renaissance of public shaming is sweeping our land. Justice has been democratized. The silent majority are getting a voice. But what are we doing with our voice? We are mercilessly finding people's faults. We are defining the boundaries of normality by ruining the lives of those outside it. We are using shame as a form of social control. Simultaneously powerful and hilarious in the way only Jon Ronson can be, So You've Been Publicly Shamed is a deeply honest book about modern life, full of eye-opening truths about the escalating war on human flaws - and the very scary part we all play in it.

Quadratic Number Fields

Quadratic Number Fields
Author: Franz Lemmermeyer
Publisher: Springer Nature
Total Pages: 348
Release: 2021-09-18
Genre: Mathematics
ISBN: 3030786528

This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level. Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings of integers, the unit group, ideals and the ideal class group. This textbook provides solid grounding for further study by placing the subject within the greater context of modern algebraic number theory. Going beyond what is usually covered at this level, the book introduces the notion of modularity in the context of quadratic reciprocity, explores the close links between number theory and geometry via Pell conics, and presents applications to Diophantine equations such as the Fermat and Catalan equations as well as elliptic curves. Throughout, the book contains extensive historical comments, numerous exercises (with solutions), and pointers to further study. Assuming a moderate background in elementary number theory and abstract algebra, Quadratic Number Fields offers an engaging first course in algebraic number theory, suitable for upper undergraduate students.

Principal Functions

Principal Functions
Author: B. Rodin
Publisher: Springer Science & Business Media
Total Pages: 365
Release: 2012-12-06
Genre: Mathematics
ISBN: 1468480383

During the decade and a half that has elapsed since the intro duction of principal functions (Sario [8 J), they have become impor tant tools in an increasing number of branches of modern mathe matics. The purpose of the present research monograph is to systematically develop the theory of these functions and their ap plications on Riemann surfaces and Riemannian spaces. Apart from brief background information (see below), nothing contained in this monograph has previously appeared in any other book. The basic idea of principal functions is simple: Given a Riemann surface or a Riemannian space R, a neighborhood A of its ideal boundary, and a harmonic function s on A, the principal function problem consists in constructing a harmonic function p on all of R which imitates the behavior of s in A. Here A need not be connected, but may include neighborhoods of isolated points deleted from R. Thus we are dealing with the general problem of constructing harmonic functions with given singularities and a prescribed behavior near the ideal boundary. The function p is called the principal function corresponding to the given A, s, and the mode of imitation of s by p. The significance of principal functions is in their versatility.