{"product_id":"9783031137822","title":"Springer Undergraduate Mathematics Series","description":"\u003ch1\u003eSpringer Undergraduate Mathematics Series\u003c\/h1\u003e \u003ch2\u003ePoodiack, Robert D.; Wood, William E.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis textbook introduces generalized trigonometric functions through the exploration of imperfect circles: curves defined by |\u003ci\u003ex\u003c\/i\u003e|\u003csup\u003e\u003ci\u003ep\u003c\/i\u003e\u003c\/sup\u003e + |\u003ci\u003ey\u003c\/i\u003e|\u003csup\u003e\u003ci\u003ep\u003c\/i\u003e\u003c\/sup\u003e = 1 where \u003ci\u003ep\u003c\/i\u003e ≥ 1. Grounded in visualization and computations, this accessible, modern perspective encompasses new and old results, casting a fresh light on duality, special functions, geometric curves, and differential equations. Projects and opportunities for research abound, as we explore how similar (or different) the trigonometric and \u003ci\u003esquigonometric\u003c\/i\u003e worlds might be.\u003c\/p\u003e\n\n\u003cp\u003eComprised of many short chapters, the book begins with core definitions and techniques. Successive chapters cover inverse squigonometric functions, the many possible re-interpretations of \u003ci\u003eπ\u003c\/i\u003e, two deeper dives into parameterizing the squigonometric functions, and integration. Applications include a celebration of Piet Hein’s work in design. From here, more technical pathways offer further exploration. Topicsinclude infinite series; hyperbolic, exponential, and logarithmic functions; metrics and norms; and lemniscatic and elliptic functions. Illuminating illustrations accompany the text throughout, along with historical anecdotes, engaging exercises, and wry humor.\u003c\/p\u003e\n\n\u003cp\u003e\u003ci\u003eSquigonometry: The Study of Imperfect Circles\u003c\/i\u003e invites readers to extend familiar notions from trigonometry into a new setting. Ideal for an undergraduate reading course in mathematics or a senior capstone, this book offers scaffolding for active discovery. Knowledge of the trigonometric functions, single-variable calculus, and initial-value problems is assumed, while familiarity with multivariable calculus and linear algebra will allow additional insights into certain later material.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2022-12-16\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031137822\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-13783-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 289\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44499589169292,"sku":"9783031137822","price":34.19,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031137822.jpg?v=1775730934","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031137822","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}