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Elementary Number Theory
Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas. The first chapter of the book explains how to do proofs and includes a brief discussion of lemmas, propositions, theorems, and corollaries. The core of the text covers linear Diophantine equations; unique factorization; congruences; Fermat’s, Euler’s, and Wilson’s theorems; order and primitive roots; and quadratic reciprocity. The authors also discuss numerous cryptographic topics, such as RSA and discrete logarithms, along with recent developments. The book offers many pedagogical features. The "check your understanding" problems scattered throughout the chapters assess whether students have learned essential information. At the end of every chapter, exercises reinforce an understanding of the material. Other exercises introduce new and interesting ideas while computer exercises reflect the kinds of explorations that number theorists often carry out in their research.
An Introduction to Number Theory with Cryptography
Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular and important topic of cryptography, integrating it with traditional topics in number theory. The authors have written the text in an engaging style to reflect number theory's increasing popularity. The book is designed to be used by sophomore, junior, and senior undergraduates, but it is also accessible to advanced high school students and is appropriate for independent study. It includes a few more advanced topics for students who wish to explore beyond the traditional curriculum. Features of the second edition include Over 800 exercises, proje...
Elementary Number Theory
Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas. The first chapter of the book explains how to do proofs and includes a brief discussion of lemmas, propositions, theorems, and corollaries. The core of the tex
Flight
This book is the account of Chri Kraft and the U.S. space program from its infancy to its greatest triumphs.
An Introduction to Number Theory with Cryptography
Number theory has a rich history. For many years it was one of the purest areas of pure mathematics, studied because of the intellectual fascination with properties of integers. More recently, it has been an area that also has important applications to subjects such as cryptography. An Introduction to Number Theory with Cryptography presents number
Rule Number Two
When Lieutenant Commander Heidi Kraft's twin son and daughter were fifteen months old, she was deployed to Iraq. A clinical psychologist in the US Navy, Kraft's job was to uncover the wounds of war that a surgeon would never see. She put away thoughts of her children back home, acclimated to the sound of incoming rockets, and learned how to listen to the most traumatic stories a war zone has to offer. One of the toughest lessons of her deployment was perfectly articulated by the TV show M*A*S*H: "There are two rules of war. Rule number one is that young men die. Rule number two is that doctors can't change rule number one." Some Marines, Kraft realized, and even some of their doctors, would be damaged by war in ways she could not repair. And sometimes, people were repaired in ways she never expected. Rule Number Two is a powerful firsthand account of providing comfort admidst the chaos of war, and of what it takes to endure.
Number Theory and Cryptography
Papers presented by prominent contributors at a workshop on Number Theory and Cryptography, and the annual meeting of the Australian Mathematical Society.
Mein Kampf
Madman, tyrant, animal—history has given Adolf Hitler many names. In Mein Kampf (My Struggle), often called the Nazi bible, Hitler describes his life, frustrations, ideals, and dreams. Born to an impoverished couple in a small town in Austria, the young Adolf grew up with the fervent desire to become a painter. The death of his parents and outright rejection from art schools in Vienna forced him into underpaid work as a laborer. During the First World War, Hitler served in the infantry and was decorated for bravery. After the war, he became actively involved with socialist political groups and quickly rose to power, establishing himself as Chairman of the National Socialist German Worker's...
The Vampire Hound
Barksdale of Victorian London is a good dog who happens to be a vampire.
The Mathematics of Games
The Mathematics of Games: An Introduction to Probability takes an inquiry-based approach to teaching the standard material for an introductory probability course. It also discusses different games and ideas that relate to the law of large numbers, as well as some more mathematical topics not typically found in similar books. Written in an accessible, student-friendly style, the book uses questions about various games (not just casino games) to motivate the mathematics. The author explains the examples in detail and offers ample exercises for students to practice their skills. Both "mini-excursions" appearing at the end of each chapter and the appendices delve further into interesting topics, including the St. Petersburg paradox, binomial and normal distributions, Fibonacci numbers, and the traveling salesman problem. By exploring games of chance, this text gives students a greater understanding of probability. It helps them develop the intuition necessary to make better, more informed decisions in strategic situations involving risk. It also prepares them to study the world of statistics.
