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Excursions in Number Theory, Algebra, and Analysis

Name: Excursions in Number Theory, Algebra, and Analysis
Brand: Springer, Berlin
SKU: 9783031130199
Price: 23175 HUF
Availability: InStock

Szerző: Kenneth Ireland, Al Cuoco

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer, Berlin

Elérhetőség: Beszállítói készleten

Küldés 8-11 napon belül

23 175 Ft

This textbook originates from a course taught by the late Ken Ireland in 1972. Designed to explore t...

Információk a könyvről

Szerző

Kenneth Ireland, Al Cuoco

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2024

oldal

177

EAN

9783031130199

Enbook ID

45533547

Kiadó

Springer, Berlin

Súly

441

Méretek

178 x 254

Teljes leírás

This textbook originates from a course taught by the late Ken Ireland in 1972. Designed to explore the theoretical underpinnings of undergraduate mathematics, the course focused on interrelationships and hands-on experience. Readers of this textbook will be taken on a modern rendering of Ireland's path of discovery, consisting of excursions into number theory, algebra, and analysis. Replete with surprising connections, deep insights, and brilliantly curated invitations to try problems at just the right moment, this journey weaves a rich body of knowledge that is ideal for those going on to study or teach mathematics.A pool of 200 'Dialing In' problems opens the book, providing fuel for active enquiry throughout a course. The following chapters develop theory to illuminate the observations and roadblocks encountered in the problems, situating them in the broader mathematical landscape. Topics cover polygons and modular arithmetic; the fundamental theorems of arithmetic and algebra; irrational, algebraic and transcendental numbers; and Fourier series and Gauss sums. A lively accompaniment of examples, exercises, historical anecdotes, and asides adds motivation and context to the theory. Return trips to the Dialing In problems are encouraged, offering opportunities to put theory into practice and make lasting connections along the way.Excursions in Number Theory, Algebra, and Analysis invites readers on a journey as important as the destination. Suitable for a senior capstone, professional development for practicing teachers, or independent reading, this textbook offers insights and skills valuable to math majors and high school teachers alike. A background in real analysis and abstract algebra is assumed, though the most important prerequisite is a willingness to put pen to paper and do some mathematics.

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Excursions in Number Theory, Algebra, and Analysis

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