Irrationality and Transcendence in Number Theory e-bog

v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}w\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);} Kabra, Mansi Kabra, Mansi 2 5 2022-08-02T11:53:00Z 2022-08-02T11:53:00Z 1 216 1141 39 27 1330 16.00 true 2022-08-02T11:53:41Z Standard 2bbab825-a111-45e4-86a1-18cee0005896 2567d566-604c-408a-8a60-55d0dc9d9d6b e8852cbc-bf0a-4509-9c45-362e9ed756c6 2 Clean false false false false EN-IN X-NONE X-NONE 0 /* Style Definitions */table.MsoNormalTable {mso-style-name:"e;Table Normal"e;; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:"e;"e;; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"e;Calibri"e;,sans-serif; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"e;Times New Roman"e;; mso-bidi-theme-font:minor-bidi; mso-fareast-language:EN-US;}table.MsoTableGrid {mso-style-name:"e;Table Grid"e;; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-priority:59; mso-style-unhide:no; border:solid windowtext 1.0pt; mso-border-alt:solid windowtext .5pt; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-border-insideh:.5pt solid windowtext; mso-border-insidev:.5pt solid windowtext; mso-para-margin:0cm; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"e;Calibri"e;,sans-serif; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"e;Times New Roman"e;; mso-bidi-theme-font:minor-bidi; mso-ansi-language:EN-US; mso-fareast-language:EN-US;} Irrationalityand Transcendence in Number Theory tells the story of irrational numbers fromtheir discovery in the days of Pythagoras to the ideas behind the work of Bakerand Mahler on transcendence in the 20th century. It focuses on themes of irrationality,algebraic and transcendental numbers, continued fractions, approximation ofreal numbers by rationals, and relations betweenautomata and transcendence. This book serves as a guide and introduction tonumber theory for advanced undergraduates and early postgraduates. Readers areled through the developments in number theory from ancient to modern times. Thebook includes a wide range of exercises, from routine problems to surprisingand thought-provoking extension material.FeaturesUses techniques from widely diverse areas of mathematics, including number theory, calculus, set theory, complex analysis, linear algebra, and the theory of computation.Suitable as a primary textbook for advanced undergraduate courses in number theory, or as supplementary reading for interested postgraduates.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.Access a list of errata for this book here.