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Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler’s theorem in RSA encryption, and quadratic residues in the construction of tournaments.

Ideal for a one- or two-semester undergraduate-level course, this Second Edition:

• Features a more flexible structure that offers a greater range of options for course design
• Adds new sections on the representations of integers and the Chinese remainder theorem
• Expands exercise sets to encompass a wider variety of problems, many of which relate number theory to fields outside of mathematics (e.g., music)
• Provides calculations for computational experimentation using SageMath, a free open-source mathematics software system, as well as Mathematica® and Maple™, online via a robust, author-maintained website
• Includes a solutions manual with qualifying course adoption

By tackling both fundamental and advanced subjects―and using worked examples, numerous exercises, and popular software packages to ensure a practical understanding―Introduction to Number Theory, Second Edition instills a solid foundation of number theory knowledge.

• Sales Rank: #2091889 in Books
• Published on: 2015-12-01
• Original language: English
• Number of items: 1
• Dimensions: 9.30" h x 1.10" w x 6.00" l, .0 pounds
• Binding: Hardcover
• 426 pages

Review

Praise for the Previous Edition

"The authors succeed in presenting the topics of number theory in a very easy and natural way, and the presence of interesting anecdotes, applications, and recent problems alongside the obvious mathematical rigor makes the book even more appealing. … a valid and flexible textbook for any undergraduate number theory course."
―International Association for Cryptologic Research Book Reviews, May 2011

"… a welcome addition to the stable of elementary number theory works for all good undergraduate libraries."
―J. McCleary, Vassar College, Poughkeepsie, New York, USA, from CHOICE, Vol. 46, No. 1, August 2009

"… a reader-friendly text. … provides all of the tools to achieve a solid foundation in number theory."
―L’Enseignement Mathématique, Vol. 54, No. 2, 2008

About the Author

Martin Erickson (1963-2013) received his Ph.D in mathematics in 1987 from the University of Michigan, Ann Arbor, USA, studying with Thomas Frederick Storer. He joined the faculty in the Mathematics Department of Truman State University, Kirksville, Missouri, USA, when he was twenty-four years old, and remained there for the rest of his life. Professor Erickson authored and coauthored several mathematics books, including the first edition of Introduction to Number Theory (CRC Press, 2007), Pearls of Discrete Mathematics (CRC Press, 2010), and A Student's Guide to the Study, Practice, and Tools of Modern Mathematics (CRC Press, 2010).

Anthony Vazzana received his Ph.D in mathematics in 1998 from the University of Michigan, Ann Arbor, USA. He joined the faculty in the Mathematics Department of Truman State University, Kirksville, Missouri, USA, in 1998. In 2000, he was awarded the Governor's Award for Excellence in Teaching and was selected as the Educator of the Year. In 2002, he was named the Missouri Professor of the Year by the Carnegie Foundation for the Advancement of Teaching and the Council for Advancement and Support of Education.

David Garth received his Ph.D in mathematics in 2000 from Kansas State University, Manhattan, USA. He joined the faculty in the Mathematics Department of Truman State University, Kirksville, Missouri, USA, in 2000. In 2005, he was awarded the Golden Apple Award from Truman State University's Theta Kappa chapter of the Order of Omega. His areas of research include analytic and algebraic number theory, especially Pisot numbers and their generalizations, and Diophantine approximation.

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Using confidential self-report surveys and official crime statistics, this book describes variations in aggression and violence during adolescence over time and by grade, gender, and race. Early clues present in childhood to later serious violence in adolescence are identified in longitudinal research studies. Current personality and situational influences that either increase or decrease risk for aggression or violence are reviewed. Aggression and violence in adolescent dating relationships is explained in relation to normal development and subject to both variation in partner and relationship differences. This book describes and suggests prevention programs directed at all children, children at risk, and those adolescents that are unfortunately already violent.

• Sales Rank: #537089 in Books
• Brand: Brand: Cambridge University Press
• Published on: 2007-08-06
• Released on: 2007-10-04
• Original language: English
• Number of items: 1
• Dimensions: 8.98" h x .43" w x 5.98" l, .62 pounds
• Binding: Paperback
• 200 pages

Features

• Used Book in Good Condition

About the Author
Since joining the faculty at the Institute for Child Study, Department of Human Development at the University of Maryland in 1973, Dr Robert Marcus has balanced his academic duties with his work in the community. Dr Marcus holds a PhD in human development and family studies from the Pennsylvania State University, and completion of his dissertation was supported by a grant from the National Science Foundation. Dr Marcus has authored more than forty articles and presented over fifty of his works at meetings around the country. Interested in counseling children and adolescents early in his career, as a Psychology Junior Fellow for the New Jersey Department of Institutions and Agencies, and as a school psychologist in New Jersey, Dr Marcus became a licensed psychologist in Maryland in 1979. A clinical practice working with aggressive children and adolescents complemented his academic interests. Since developing the course 'Adolescent Violence' in 1993, his interests started forming into this book. Currently, Dr Marcus is a Practice Associate of Sheppard Pratt Hospital in Baltimore, with an assignment at their satellite clinic in Columbia, Maryland.

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Science produces fascinating puzzles: why is there such a range of placental structures when other mammalian organs are so structurally uniform ? Why and how did the different placental structures evolve ? Comparative placental studies can facilitate the identification of the common factors in placental growth, differentiation and function and their relevance to possible evolutionary pathways. Comparative Placentation is the only book presenting up-to-date data illustrating the great variety of structure but uniform function of vertebrate placentas from fish to man. This information is essential for selection of suitable models to investigate particular practical problems of impaired or anomalous growth in human and animal placentation. The unique collection of the best light and electron micrographs from the last thirtyfive years which precisely illustrate the structural range in each taxon, make the book the most authoritative publication in this field and a vital source of information for anyone interested on reproductive physiology, anatomy and medicine.

• Sales Rank: #4133502 in eBooks
• Published on: 2008-08-22
• Released on: 2008-08-22
• Format: Kindle eBook

From the Back Cover

Science produces fascinating puzzles: why is there such a range of placental structures when other mammalian organs are so structurally uniform ? Why and how did the different placental structures evolve ? Comparative placental studies can facilitate the identification of the common factors in placental growth, differentiation and function and their relevance to possible evolutionary pathways. Comparative Placentation is the only book presenting up-to-date data illustrating the great variety of structure but uniform function of vertebrate placentas from fish to man. This information is essential for selection of suitable models to investigate particular practical problems of impaired or anomalous growth in human and animal placentation. The unique collection of the best light and electron micrographs from the last thirtyfive years which precisely illustrate the structural range in each taxon, make the book the most authoritative publication in this field and a vital source of information for anyone interested on reproductive physiology, anatomy and medicine.

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• Sales Rank: #377986 in Books
• Published on: 2014-02-09
• Dimensions: 9.00" h x .23" w x 6.00" l,
• Binding: Paperback
• 100 pages

About the Author
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This workbook is based on the Iniquity book, in which Dr. Ana Méndez Ferrell shows us what it means evil and how to be set free of it.

The study book contains 265 questions with its answers. The purpose of this work is to bring the reader into a deeper and more detailed knowledge about the revelations written on it, from a practical and simple way of view.

This book will expand your vision and give you clear and solid answers to your concerns before a much needed topic like this.

• Sales Rank: #92662 in eBooks
• Published on: 2013-01-22
• Released on: 2013-01-22
• Format: Kindle eBook

Most helpful customer reviews

10 of 10 people found the following review helpful.
everyone should have this book
By Amazon Customer
this is a book every Christian should absolutely have in their library to read. It gives such a deeper understanding 2 life difficulties. The focus should not be on sin, when sin is the outcome or the fruit of iniquity. you need to read this book if you want to get to the root of generational problems and why you keep having life run you instead of you run your life

10 of 11 people found the following review helpful.
Reviewing Iniquity
By Amazon Customer
This book is a study of who God is and what he wants us to be. It is for anyone who wants a life change and is willing to let God deal with them even when it hurts. I am reading this book and It saddens me that I have been a Christian for so long and am now just understanding there is so much more to my walk with God. But I also know Gods timing is perfect and the time for me to read Iniquity when I have is Gods perfect timing. I recommend this book to any one who is willing to set self aside (which is no easy task) and learn to walk in the Spirit of God,

7 of 7 people found the following review helpful.
Awesome!
By Lioness35
This book truly is an eye opener to the ministry of deliverance. I've never heard it taught this way. In my opinion, this is a must read for every believer that seeks to know true deliverance and see others be free as well.

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• Published on: 1709
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This volume deals with four non-Chinese regimes: the Khitan dynasty of Liao; the Tangut state of Hsi Hsia; the Jurchen empire of Chin; and the Mongolian Yuan dynasty that eventually engulfed the whole of China. It investigates the historical background from which these regimes emerged and shows how each in its own way set up viable institutions for the control of a multi-racial, multi-lingual, and multi-cultural population. It discusses these problems not just as a long negative episode in China's history, but shows the ingenuity and adaptability of these states, and their success in achieving political and social stability. The volume presents the fullest chronological account of the period, in which political, institutional, social, and economic changes are integrated as far as possible, and sees the period against a broad background of international relations in Northern and Central Asia.

• Sales Rank: #2699093 in Books
• Brand: Brand: Cambridge University Press
• Published on: 1994-11-25
• Original language: English
• Number of items: 1
• Dimensions: 8.98" h x 1.89" w x 5.98" l, 2.90 pounds
• Binding: Hardcover
• 896 pages

Features

• Used Book in Good Condition

Review
"...the studies presented in this volume have...raised questions which need to be further explored....the level of scholarship expressed in this volume is very high. It is to the credit of the editors and each contributor that we can now say that the stage is set for a new understanding of this period in Chinese history." Harvard Journal of Asiatic Studies

"This volume presents a more authoritative, more comprehensive, and far clearer picture of these regimes that occupied first nothern and western China, an eventually the entire country, than has previously been available....It is difficult to do full justice in reviewing a volume of such magnitude....This volume is indeed a rich banquet, but it is also one that needs to be digested slowly in order to sample fully its varied flavors. Its publication is an event worthy of celebration." The Historian

"...a tremendous contribution....this volume is an outstanding encyclopedic study of a unique part of Chinese history, and it should prove useful as a resource not only to researchers and graduate students, but also to those who teach undergraduates....unquestionably an important accomplishment. It will lead readers to a better understanding of the role of the non-Han peoples in Chinese history and encourage all to meditate upon the revolutionary question: what is, in fact, Chinese history?" China Review International

"...an important synthesis of aspects and periods of the history of China which have, until relatively recently, been somewhat neglected by scholars....Both editors and contributors deserve our congratulations and gratitude." D. O. Morgan, Reviews of Books

"...an indispensable reference work." The International History Review

"...a sound survey as well as an indispensable starting point for serious students or researchers." Choice

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