{"product_id":"summing-it-up-by-robert-gross-9780691178516","title":"Summing It Up","description":"\u003cdiv class=\"book-description\"\u003e\n\u003cp\u003eWe use addition on a daily basis—yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? \u003cem\u003eSumming It Up\u003c\/em\u003e 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.\u003c\/p\u003e\n\n\u003cp\u003eMathematicians Avner Ash and Robert Gross explore addition's 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. Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds.\u003c\/p\u003e\n\n\u003cp\u003eEmploying 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 series—long sums that can only be defined by the concept of limit, as in the example of 1+1\/2+1\/4+...=?\u003c\/p\u003e\n\n\u003cp\u003eWith 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 forms—the 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 Fermat's Last Theorem.\u003c\/p\u003e\n\n\u003cp\u003eAppropriate for numbers novices as well as college math majors, \u003cem\u003eSumming It Up\u003c\/em\u003e delves into mathematics that will enlighten anyone fascinated by numbers.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"NewSouth Books","offers":[{"title":"Default Title","offer_id":47471653617900,"sku":"9780691178516","price":70.0,"currency_code":"NZD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0705\/7784\/8556\/files\/9780691178516-summing-it-up.jpg?v=1775248767","url":"https:\/\/bookhero.pro\/products\/summing-it-up-by-robert-gross-9780691178516","provider":"Book Hero","version":"1.0","type":"link"}