Excursions in Number Theory, Algebra, and Analysis

Author:   Kenneth Ireland ,  Al Cuoco
Publisher:   Springer International Publishing AG
ISBN:  

9783031130199


Pages:   177
Publication Date:   30 March 2024
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Excursions in Number Theory, Algebra, and Analysis


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Author:   Kenneth Ireland ,  Al Cuoco
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
ISBN:  

9783031130199


ISBN 10:   3031130197
Pages:   177
Publication Date:   30 March 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- 1. Dialing In Problems.- 2. Polygons and Modular Arithmetic.- 3. The Fundamental Theorem of Arithmetic.- 4. The Fundamental Theorem of Algebra.- 5. Irrational, Algebraic and Transcendental Numbers.- 6. Fourier Series and Gauss Sums.- Epilogue.- Notation.- Bibliography.- Index.

Reviews

“Rather than being a book that one reads from cover to cover, Excursions is a curated collection problems followed by expository material aimed at providing background material useful for solving these problems. I imagine it would be a great experience to have a course taught out of this book. The second author clearly enjoyed the experience of studying this material under the guidance of the first author and wanted to make that experience available to others.” (John D. Cook, MAA Reviews, June 17, 2023)


Author Information

Kenneth Ireland [1937–1991] was Professor of Mathematics at the University of New Brunswick, Canada. Before UNB, he held positions at Johns Hopkins, Brandeis, Brown, Bowdoin, and a visiting membership in the Institute for Advanced Study. Known for his broad interests and active involvement in all areas of departmental life, he had a lasting impact on generations of students as a teacher and mentor. His widely acclaimed book with Michael Rosen, A Classical Introduction to Modern Number Theory, appears in the series Graduate Texts in Mathematics. Al Cuoco is a Distinguished Scholar at Education Development Center in Massachusetts. Before EDC, he taught high school mathematics for 24 years to a wide range of students in the Woburn, Massachusetts public schools. At EDC, he works in curriculum development, professional development, and education policy, and for over three decades, he has worked with Glenn Stevens in the PROMYS for Teachers program atBoston University. His mathematical interests and research publications lie in algebraic number theory.

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