{"title":"Mathematics--Mathematical Analysis","description":null,"products":[{"product_id":"the-indisputable-existence-of-santa-claus-the-mathematics-of-christmas","title":"The Indisputable Existence of Santa Claus: The Mathematics of Christmas","description":"\u003cb\u003eIn \u003ci\u003eThe Indisputable Existence of Santa Claus\u003c\/i\u003e, two distinguished mathematicians explain, with humor and clarity, mathematical concepts through one very merry motif: Christmas.\u003c\/b\u003e \u003cp\u003e\u003c\/p\u003e Lighthearted and diverting with Christmasy diagrams, sketches and graphs, equations, Markov chains, and matrices, \u003ci\u003eThe Indisputable Existence of Santa Claus\u003c\/i\u003e brightens up the bleak midwinter with stockingsful of mathematical marvels. \u003cp\u003e\u003c\/p\u003e How do you apply game theory to select who should be on your Christmas shopping list? What equations should you use to decorate the Christmas tree? Will calculations show Santa is getting steadily thinner--shimmying up and down chimneys for a whole night--or fatter--as he munches on cookies and milk in billions of houses across the world? \u003cp\u003e\u003c\/p\u003e In their quest to provide mathematical proof for the existence of Santa, the authors take readers on a festive journey through a traditional holiday season. Every activity, from wrapping presents to playing board games to cooking the perfect turkey, is analyzed through the lens of math. Because who hasn't always wondered how to set up a mathematically perfect Secret Santa? \u003cp\u003e\u003c\/p\u003e This book belongs under your Christmas tree if you enjoy a spice of math in your eggnog.\u003cdiv style=\"display:none\"\u003eISBN-10: 141978790X\u003cbr\u003eISBN-13: 9781419787904\u003cbr\u003eAuthor: Evans, Thomas Oléron, Fry, Hannah\u003cbr\u003ePublisher: Harry N. Abrams\u003cbr\u003e\n\u003c\/div\u003e","brand":"Harry N. Abrams","offers":[{"title":"Hardcover (Oct 2025)","offer_id":46080714539205,"sku":"9781419787904","price":18.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0708\/6414\/2533\/files\/9781419787904.jpg?v=1776039539"},{"product_id":"real-analysis-a-long-form-mathematics-textbook","title":"Real Analysis: A Long-Form Mathematics Textbook","description":"This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by \"scratch work\" or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own. Examples often drive the narrative and challenge the intuition of the reader. The text also aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and includes interesting historical notes, periodic attempts at humor, and occasional diversions into other interesting areas of mathematics. The text covers the real numbers, cardinality, sequences, series, the topology of the reals, continuity, differentiation, integration, and sequences and series of functions. Each chapter ends with exercises, and nearly all include some open questions. The first appendix contains a construction the reals, and the second is a collection of additional peculiar and pathological examples from analysis. The author believes most textbooks are extremely overpriced and endeavors to help change this.Hints and solutions to select exercises can be found at LongFormMath.com.\u003cp\u003e\u003cbr\u003eThis is the 2 + epsilon edition of this book. The second edition was published in July 2019. In January 2024, an epsilon of changes were made and the manuscript was updated, without officially creating a new edition.\u003c\/p\u003e\u003cdiv style=\"display:none\"\u003eISBN-10: 1077254547\u003cbr\u003eISBN-13: 9781077254541\u003cbr\u003eAuthor: Cummings, Jay\u003cbr\u003ePublisher: Independently Published\u003cbr\u003e\n\u003c\/div\u003e","brand":"Independently Published","offers":[{"title":"Paperback (Jul 2019)","offer_id":46081435435205,"sku":"9781077254541","price":25.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0708\/6414\/2533\/files\/9781077254541.jpg?v=1776046112"}],"url":"https:\/\/www.inveni.store\/collections\/mathematics-mathematical-analysis.oembed","provider":"Inveni","version":"1.0","type":"link"}