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David Angell
Irrationality and Transcendence in Number Theory
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2809298Irrationality and Transcendence in Number Theoryhttps://www.gandhi.com.mx/irrationality-and-transcendence-in-number-theory-9781000523782/phttps://gandhi.vtexassets.com/arquivos/ids/3375127/b51a6052-79de-4e94-942d-9ff6245f1da0.jpg?v=63843576367117000013331333MXNCRC PressInStock/Ebooks/<p><em><strong>Irrationality and Transcendence in Number Theory</strong></em> tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and Mahler on transcendence in the 20th century. It focuses on themes of irrationality, algebraic and transcendental numbers, continued fractions, approximation of real numbers by rationals, and relations between automata and transcendence. This book serves as a guide and introduction to number theory for advanced undergraduates and early postgraduates. Readers are led through the developments in number theory from ancient to modern times. The book includes a wide range of exercises, from routine problems to surprising and thought-provoking extension material.</p><p><strong>Features</strong></p><ul><li>Uses techniques from widely diverse areas of mathematics, including number theory, calculus, set theory, complex analysis, linear algebra, and the theory of computation</li><li>Suitable as a primary textbook for advanced undergraduate courses in number theory, or as supplementary reading for interested postgraduates</li><li>Each chapter concludes with an appendix setting out the basic facts needed from each topic, so that the book is accessible to readers without any specific specialist background</li></ul>...2745819Irrationality and Transcendence in Number Theory13331333https://www.gandhi.com.mx/irrationality-and-transcendence-in-number-theory-9781000523782/phttps://gandhi.vtexassets.com/arquivos/ids/3375127/b51a6052-79de-4e94-942d-9ff6245f1da0.jpg?v=638435763671170000InStockMXN99999DIEbook20219781000523782_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9781000523782_<p><em><strong>Irrationality and Transcendence in Number Theory</strong></em> tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and Mahler on transcendence in the 20th century. It focuses on themes of irrationality, algebraic and transcendental numbers, continued fractions, approximation of real numbers by rationals, and relations between automata and transcendence. This book serves as a guide and introduction to number theory for advanced undergraduates and early postgraduates. Readers are led through the developments in number theory from ancient to modern times. The book includes a wide range of exercises, from routine problems to surprising and thought-provoking extension material.</p><p><strong>Features</strong></p><ul><li>Uses techniques from widely diverse areas of mathematics, including number theory, calculus, set theory, complex analysis, linear algebra, and the theory of computation.</li><li>Suitable as a primary textbook for advanced undergraduate courses in number theory, or as supplementary reading for interested postgraduates.</li><li>Each chapter concludes with an appendix setting out the basic facts needed from each topic, so that the book is accessible to readers without any specific specialist background.</li></ul><p>Access a list of errata for this book <a hrefhttps://web.maths.unsw.edu.au/angell/bookinfo/errata.pdf>here</a>.</p>(*_*)9781000523782_<p><em><strong>Irrationality and Transcendence in Number Theory</strong></em> tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and Mahler on transcendence in the 20th century. It focuses on themes of irrationality, algebraic and transcendental numbers, continued fractions, approximation of real numbers by rationals, and relations between automata and transcendence. This book serves as a guide and introduction to number theory for advanced undergraduates and early postgraduates. Readers are led through the developments in number theory from ancient to modern times. The book includes a wide range of exercises, from routine problems to surprising and thought-provoking extension material.</p><p><strong>Features</strong></p><ul><li>Uses techniques from widely diverse areas of mathematics, including number theory, calculus, set theory, complex analysis, linear algebra, and the theory of computation</li><li>Suitable as a primary textbook for advanced undergraduate courses in number theory, or as supplementary reading for interested postgraduates</li><li>Each chapter concludes with an appendix setting out the basic facts needed from each topic, so that the book is accessible to readers without any specific specialist background</li></ul>...9781000523782_CRC Presslibro_electonico_a75b7522-829b-32dd-985a-99859825457f_9781000523782;9781000523782_9781000523782David AngellInglésMéxicohttps://getbook.kobo.com/koboid-prod-public/taylorandfrancis-epub-1c2898b5-bcba-4cac-9f4d-f261ccb1636b.epub2021-12-30T00:00:00+00:00CRC Press