This collection of essays aims to promote constructive mathematics, not by defining it or formalizing it, but by practicing it. All definitions and proofs are based on finite algorithms, which pave illuminating paths to nontrivial results, primarily in algebra, number theory, and the theory of algebraic curves. The second edition adds a new set of essays that reflect and expand upon the first.The topics covered derive from classic works of nineteenth-century mathematics, among them...

This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry—the elimination theorem, the extension theorem, the closure theorem and the Nullstellensatz—this new edition incorporate...

Coxs story departs from accounts of modern-day, single mothers. In this book he narrates the story of how he became a single fatherfrom his marriage, divorce, and how he learned to raise his family without a mother or mother-figure. All the while, he combats low self-esteem, trials and tribulations of life, as well as maturing in his walk with God. He broke me all the way down to have me trust Him in all that I did and all that I thought. In doing this, it brought me closer to Him and to m...

An exciting approach to the history and mathematics of number theory“. . . the author’s style is totally lucid and very easy to read . . .the result is indeed a wonderful story.” —Mathematical ReviewsWritten in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form p = x2*+ ny**2* details the history behind how Pierre de Fermat’s work ultimately gave birth to quadrati...

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which m...

Tough Test Questions? Missed Lectures? Not Rnough Time?Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test ...

**NEW YORK TIMES BESTSELLER • In this hilarious instant classic, the creator of The Mindy Project and Never Have I Ever invites readers on a tour of her life and her unscientific observations on romance, friendship, and Hollywood.“[Kaling is] like Tina Fey’s cool little sister. Or perhaps . . . the next Nora Ephron.”—The New York Times**Mindy Kaling has lived many lives: the obedient child of immigrant professionals, a timid chubster afr...

She’s the brutally honest breath of fresh air on The Real Housewives of Beverly Hills, known for her dramatic divorce, her barely-there clothing, and her inability to keep her mouth shut. So why should she change now? Brandi Glanville tells all in this hilarious, no-holds-barred memoir.Fans have been waiting for Brandi’s scoop on one of the biggest divorces of the decade, since her husband of eight years abandoned her and their two sons to marry country si...

David Spade is best known for his harsh “Hollywood” Minute Sketches on SNL, his starring roles in movies like Joe Dirt and Tommy Boy, and his seven-year stint as Dennis Finch on the series Just Shoot Me. Now, with a wit as dry as the weather in his home state of Arizona, the “comic brat extraordinaire” tells his story in Almost Interesting.First Taking fans back to his childhood as a wannabe cool younger brother and recounting his excruciating road-tour to fame—when he was regularl...

NEW YORK TIMES BESTSELLERWithout her alter-ego Erika Jayne, Erika Girardi says she’d just be “another rich bitch with a plane”—so get ready for the dishy, tell-all memoir from show-stopping performer, model, singer, and beloved star of The Real Housewives of Beverly Hills, Erika Jayne.Erika Jayne didn’t make it this far by holding back. Now, in her first-ever memoir, the fan favorite star of Bravo’s Th...

In this text, the whole structure of analysis is built up from the foundations. The only things assumed at the outset are the rules of logic and the usual properties of the natural numbers, and with these two exceptions all the proofs in the text rest on the axioms and theorems proved earlier. Nevertheless this treatise (including the first volume) is not suitable for students who have not yet covered the first two years of an undergraduate honours course in mathematics. A striking charact...

Charlamagne Tha God—the self-proclaimed “Prince of Pissing People Off,” cohost of Power 105.1’s The Breakfast Club, and “media god” (Forbes)—shares his eight principles for unlocking your God-given privilege in this New York Times bestseller.In Black Privilege, Charlamagne presents his often controversial and always brutally honest insights on how living an authentic life is the quickest path to success. This journey to ...