Algebra and Number Theory: An Integrated Approach

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9780470496367: Algebra and Number Theory: An Integrated Approach

Explore the main algebraic structures and number systems that play a central role across the field of mathematics

Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications. Based on the authors' extensive experience within the field, Algebra and Number Theory has an innovative approach that integrates three disciplines—linear algebra, abstract algebra, and number theory—into one comprehensive and fluid presentation, facilitating a deeper understanding of the topic and improving readers' retention of the main concepts.

The book begins with an introduction to the elements of set theory. Next, the authors discuss matrices, determinants, and elements of field theory, including preliminary information related to integers and complex numbers. Subsequent chapters explore key ideas relating to linear algebra such as vector spaces, linear mapping, and bilinear forms. The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory.

Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material.

Algebra and Number Theory is an excellent book for courses on linear algebra, abstract algebra, and number theory at the upper-undergraduate level. It is also a valuable reference for researchers working in different fields of mathematics, computer science, and engineering as well as for individuals preparing for a career in mathematics education.

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About the Author:

MARTYN R. DIXON, PhD, is Professor in the Department of Mathematics at the University of Alabama, Tuscaloosa. He has authored more than sixty published journal articles on infinite group theory, formation theory and Fitting classes, wreath products, and automorphism groups.

LEONID A. KURDACHENKO, PhD, is Distinguished Professor and Chair of the Department of Algebra at the Dnepropetrovsk National University (Ukraine). Dr. Kurdachenko has authored more than 150 journal articles on the topics of infinite-dimensional linear groups, infinite groups, and module theory.

IGOR YA. SUBBOTIN, PhD, is Professor in the Department of Mathematics and Natural Sciences at National University (California). Dr. Subbotin is the author of more than 100 published journal articles on group theory, cybernetics, and mathematics education.

Review:

“The book is well-written and covers, with plenty of exercises, the material needed in the three aforementioned courses, albeit in a new order.”  (Zentralblatt MATH, 1 December 2012)

"However, instructors contemplating such a unified approach should give this book serious consideration. Recommended. Upper-division undergraduates through researchers/faulty." (Choice , 1 April 2011)

 

"Sobre este título" puede pertenecer a otra edición de este libro.

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Dixon, Martyn R.; Subbotin, Igor Ya; Kurdachenko, Leonid A.
Editorial: Mississauga, ON, Canada: John Wiley & Sons Canada, Limited (2010)
ISBN 10: 0470496363 ISBN 13: 9780470496367
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Descripción Mississauga, ON, Canada: John Wiley & Sons Canada, Limited, 2010. Hardcover. Estado de conservación: New. Ship out 1-2 business day,Brand new,US edition, Free tracking number usually 2-4 biz days delivery to worldwide Same shipping fee with US, Canada,Europe country, Australia, item will ship out from either LA or Asia,ht. Nº de ref. de la librería ABE-6453340749

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Dixon, Martyn R., Kurdachenko, Leonid A.
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Descripción Wiley, 2010. Hardcover. Estado de conservación: New. Nº de ref. de la librería P110470496363

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Martyn Dixon; Leonid Kurdachenko; Igor Subbotin
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Descripción John Wiley and Sons. Estado de conservación: New. Brand New. Nº de ref. de la librería 0470496363

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Martyn R. Dixon
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Descripción Wileyand#8211;Blackwell, 2010. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería FW-9780470496367

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Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya Subbotin
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ISBN 10: 0470496363 ISBN 13: 9780470496367
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Descripción John Wiley and Sons Ltd, United States, 2010. Hardback. Estado de conservación: New. Language: English . Brand New Book. Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications. Based on the authors extensive experience within the field, Algebra and Number Theory has an innovative approach that integrates three disciplines-linear algebra, abstract algebra, and number theory-into one comprehensive and fluid presentation, facilitating a deeper understanding of the topic and improving readers retention of the main concepts. The book begins with an introduction to the elements of set theory. Next, the authors discuss matrices, determinants, and elements of field theory, including preliminary information related to integers and complex numbers. Subsequent chapters explore key ideas relating to linear algebra such as vector spaces, linear mapping, and bilinear forms. The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory. Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material. Algebra and Number Theory is an excellent book for courses on linear algebra, abstract algebra, and number theory at the upper-undergraduate level. It is also a valuable reference for researchers working in different fields of mathematics, computer science, and engineering as well as for individuals preparing for a career in mathematics education. Nº de ref. de la librería AAH9780470496367

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Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya Subbotin
Editorial: John Wiley and Sons Ltd, United States (2010)
ISBN 10: 0470496363 ISBN 13: 9780470496367
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Descripción John Wiley and Sons Ltd, United States, 2010. Hardback. Estado de conservación: New. Language: English . Brand New Book. Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications. Based on the authors extensive experience within the field, Algebra and Number Theory has an innovative approach that integrates three disciplines-linear algebra, abstract algebra, and number theory-into one comprehensive and fluid presentation, facilitating a deeper understanding of the topic and improving readers retention of the main concepts. The book begins with an introduction to the elements of set theory. Next, the authors discuss matrices, determinants, and elements of field theory, including preliminary information related to integers and complex numbers. Subsequent chapters explore key ideas relating to linear algebra such as vector spaces, linear mapping, and bilinear forms. The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory. Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material. Algebra and Number Theory is an excellent book for courses on linear algebra, abstract algebra, and number theory at the upper-undergraduate level. It is also a valuable reference for researchers working in different fields of mathematics, computer science, and engineering as well as for individuals preparing for a career in mathematics education. Nº de ref. de la librería AAH9780470496367

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Martyn R. Dixon; Leonid A. Kurdachenko; Igor Ya Subbotin
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Descripción Wiley, 2010. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0470496363

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Martyn Dixon, Leonid Kurdachenko, Igor Subbotin
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Descripción Wiley, 2010. Hardcover. Estado de conservación: New. 1. Nº de ref. de la librería DADAX0470496363

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Descripción John Wiley and Sons Ltd. Hardback. Estado de conservación: new. BRAND NEW, Algebra and Number Theory: An Integrated Approach, Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya Subbotin, Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications. Based on the authors' extensive experience within the field, Algebra and Number Theory has an innovative approach that integrates three disciplines-linear algebra, abstract algebra, and number theory-into one comprehensive and fluid presentation, facilitating a deeper understanding of the topic and improving readers' retention of the main concepts. The book begins with an introduction to the elements of set theory. Next, the authors discuss matrices, determinants, and elements of field theory, including preliminary information related to integers and complex numbers. Subsequent chapters explore key ideas relating to linear algebra such as vector spaces, linear mapping, and bilinear forms. The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory. Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material. Algebra and Number Theory is an excellent book for courses on linear algebra, abstract algebra, and number theory at the upper-undergraduate level. It is also a valuable reference for researchers working in different fields of mathematics, computer science, and engineering as well as for individuals preparing for a career in mathematics education. Nº de ref. de la librería B9780470496367

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Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya Subbotin
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Descripción John Wiley and Sons Ltd, United States, 2010. Hardback. Estado de conservación: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications. Based on the authors extensive experience within the field, Algebra and Number Theory has an innovative approach that integrates three disciplines-linear algebra, abstract algebra, and number theory-into one comprehensive and fluid presentation, facilitating a deeper understanding of the topic and improving readers retention of the main concepts. The book begins with an introduction to the elements of set theory. Next, the authors discuss matrices, determinants, and elements of field theory, including preliminary information related to integers and complex numbers. Subsequent chapters explore key ideas relating to linear algebra such as vector spaces, linear mapping, and bilinear forms. The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory. Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material. Algebra and Number Theory is an excellent book for courses on linear algebra, abstract algebra, and number theory at the upper-undergraduate level. It is also a valuable reference for researchers working in different fields of mathematics, computer science, and engineering as well as for individuals preparing for a career in mathematics education. Nº de ref. de la librería BZV9780470496367

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