{"product_id":"the-four-pillars-of-geometry-9781441920638","title":"The Four Pillars of Geometry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eStraightedge and compass.- Euclid's approach to geometry.- Coordinates.- Vectors and Euclidean spaces.- Perspective.- Projective planes.- Transformations.- Non-Euclidean geometry.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews:\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\"This is an introductory book on geometry, easy to read, written in an engaging style. The author’s goal is … to increase one’s overall understanding and appreciation of the subject. … Along the way, he presents elegant proofs of well-known theorems … . The advantage of the author’s approach is clear: in a short space he gives a brief introduction to many sides of geometry and includes many beautiful results, each explained from a perspective that makes it easy to understand.\" (Robin Hartshorne, SIAM Review, Vol. 48 (2), 2006)\u003c\/p\u003e\u003cp\u003e\"The pillars of the title are … Euclidean construction and axioms, coordinates and vectors, projective geometry, and transformations and non-Euclidean geometry. … The writing style is both student-friendly and deeply informed. The pleasing brevity of the book … makes the book especially suitable as an instruction to geometry for the large and critically important population of undergraduate mathematics majors … . Each chapter concludes with a well-written discussion section that combines history with glances at further results. There is a good selection of thought-provoking exercises.\" (R. J. Bumcrot, Mathematical Reviews, Issue 2006 e)\u003c\/p\u003e\u003cp\u003e\"The author acts on the assumption of four approaches to geometry: The axiomatic way, using linear Algebra, projective geometry and transformation groups. … Each of the chapters closes with a discussion giving hints on further aspects and historical remarks. … The book can be recommended to be used in undergraduate courses on geometry … .\" (F. Manhart, Internationale Mathematische Nachrichten, Issue 203, 2006)\u003c\/p\u003e\u003cp\u003e\"Any new mathematics textbook by John Stillwell is worth a serious look. Stillwell is the prolific author of more than half a dozen textbooks … . I would not hesitate to recommend this text to any professor teaching a course in geometry who is more interested in providing a rapid survey of topics rather than an in-depth, semester-long, examination of any particular one.\" (Mark Hunacek, The Mathematical Gazette, Vol. 91 (521), 2007)\u003c\/p\u003e\u003cp\u003e\"The title refers to four different approaches to elementary geometry which according to the author only together show this field in all its splendor: via straightedge and compass constructions, linear algebra, projective geometry and transformation groups. … the book can be recommended warmly to undergraduates to get in touch with geometric thinking.\" (G. Kowol, Monatshefte für Mathematik, Vol. 150 (3), 2007)\u003c\/p\u003e\u003cp\u003e\"This book presents a tour on various approaches to a notion of geometry and the relationship between these approaches. … The book shows clearly how useful it is to use various tools in a description of basic geometrical questions to find the simplest and the most intuitive arguments for different problems. The book is a very useful source of ideas for high school teachers.\" (EMS Newsletter, March, 2007)\u003c\/p\u003e\u003cp\u003e“The four pillars of geometry approaches geometry in four different ways, devoting two chapters to each, the first chapter being concrete and introductory, the second more abstract. … The content is quite elementary and is based on lectures given by the author at the University of San Francisco in 2004. … The book of Stillwell is a very good first introduction to geometry especially for the axiomatic and the projective point of view.” (\u003ci\u003eYves Félix\u003c\/i\u003e, Bulletin of the Belgian Mathematical Society, Vol. 15 (1), 2008)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eStraightedge and compass.- Euclid’s approach to geometry.- Coordinates.- Vectors and Euclidean spaces.- Perspective.- Projective planes.- Transformations.- Non-Euclidean geometry.","brand":"Springer","offers":[{"title":"Default Title","offer_id":51039848661335,"sku":"9781441920638","price":43.96,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781441920638.jpg?v=1750945044","url":"https:\/\/bookcurl.com\/products\/the-four-pillars-of-geometry-9781441920638","provider":"Book Curl","version":"1.0","type":"link"}