{"product_id":"squigonometry-the-study-of-imperfect-circles-von-robert-d-poodiack-und-william-e-wood","title":"Squigonometry: The Study of Imperfect Circles","description":"\n                                \n                \u003cp\u003e\n                                        This textbook introduces generalized trigonometric functions through the exploration of imperfect circles: curves defined by |\n                    \n                    \u003ci\u003ex\u003c\/i\u003e\n                                        |\n                    \n                    \u003csup\u003e\n                                                \n                        \u003ci\u003ep\u003c\/i\u003e\n                                            \n                    \u003c\/sup\u003e\n                                         + |\n                    \n                    \u003ci\u003ey\u003c\/i\u003e\n                                        |\n                    \n                    \u003csup\u003e\n                                                \n                        \u003ci\u003ep\u003c\/i\u003e\n                                            \n                    \u003c\/sup\u003e\n                                         = 1 where \n                    \n                    \u003ci\u003ep\u003c\/i\u003e\n                                         ≥ 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 \n                    \n                    \u003ci\u003esquigonometric\u003c\/i\u003e\n                                         worlds might be.\n                \n                \u003c\/p\u003e\n                                \n                \n                \u003cp\u003e\n                                        Comprised of many short chapters, the book begins with core definitions and techniques. Successive chapters cover inverse squigonometric functions, the many possible re-interpretations of \n                    \n                    \u003ci\u003eπ\u003c\/i\u003e\n                                        , 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.\n                \n                \u003c\/p\u003e\n                                \n                \n                \u003cp\u003e\n                                        \n                    \u003ci\u003eSquigonometry: The Study of Imperfect Circles\u003c\/i\u003e\n                                         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.\n                \n                \u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031137822\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783031137822","offer_id":40829760143453,"sku":"9783031137822","price":37.44,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/ea5a7597-f9c4-4ea0-a786-d8d2e7096bfa.jpg?v=1772083501","url":"https:\/\/shop.autorenwelt.de\/products\/squigonometry-the-study-of-imperfect-circles-von-robert-d-poodiack-und-william-e-wood","provider":"Autorenwelt Shop","version":"1.0","type":"link"}