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Robert Gross
Summing It Up
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4265200Summing It Uphttps://www.gandhi.com.mx/summing-it-up-9781400880539/phttps://gandhi.vtexassets.com/arquivos/ids/2789069/6a3e1c3e-a94f-43f3-a967-aee2896c79a8.jpg?v=638384454257970000268372MXNPrinceton University PressInStock/Ebooks/<p><strong>The power and properties of numbers, from basic addition and sums of squares to cutting-edge theory</strong></p><p>We use addition on a daily basisyet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? <em>Summing It Up</em> uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore additions most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research.</p><p>Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite serieslong sums that can only be defined by the concept of limit, as in the example of 11/21/4. . .? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular formsthe analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermats Last Theorem.</p><p>Appropriate for numbers novices as well as college math majors, <em>Summing It Up</em> delves into mathematics that will enlighten anyone fascinated by numbers.</p>...4200822Summing It Up268372https://www.gandhi.com.mx/summing-it-up-9781400880539/phttps://gandhi.vtexassets.com/arquivos/ids/2789069/6a3e1c3e-a94f-43f3-a967-aee2896c79a8.jpg?v=638384454257970000InStockMXN99999DIEbook20169781400880539_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9781400880539_<p><strong>The power and properties of numbers, from basic addition and sums of squares to cutting-edge theory</strong></p><p>We use addition on a daily basisyet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? <em>Summing It Up</em> uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore additions most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research.</p><p>Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite serieslong sums that can only be defined by the concept of limit, as in the example of 11/21/4. . .? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular formsthe analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermats Last Theorem.</p><p>Appropriate for numbers novices as well as college math majors, <em>Summing It Up</em> delves into mathematics that will enlighten anyone fascinated by numbers.</p>...9781400880539_Princeton University Presslibro_electonico_b1665c60-b5c5-3817-901e-6da3c0554c40_9781400880539;9781400880539_9781400880539Robert GrossInglésMéxicohttps://getbook.kobo.com/koboid-prod-public/princetonup-epub-b4d3dd1b-2621-4dce-ae73-aed73bc5d43b.epub2016-05-17T00:00:00+00:00Princeton University Press