This text is the fifth and final in the series of educational books written by Israel Gelfand with his colleagues for high school students. These books cover the basics of mathematics in a clear and simple format -the style Gelfand was known for internationally. Gelfand prepared these materials so as to be suitable for independent studies, thus allowing students to learn and practice the material at their own pace without a class.Geometry takes a different approach to presenting basic geometry for high-school students and others new to the subject. Rather than following the traditional axiomatic method that emphasizes formulae and logical deduction, it focuses on geometric constructions. Illustrations and problems are abundant throughout, and readers are encouraged to draw figures and “move” them in the plane, allowing them to develop and enhance their geometrical vision, imagination, and creativity. Chapters are structured so that only certain operations and the instruments to perform these operations are available for drawing objects and figures on the plane. This structure corresponds to presenting, sequentially, projective, affine, symplectic, and Euclidean geometries, all the while ensuring students have the necessary tools to follow along. Geometry is suitable for a large audience, which includes not only high school geometry students, but also teachers and anyone else interested in improving their geometrical vision and intuition, skills useful in many professions. Similarly, experienced mathematicians can appreciate the book’s unique way of presenting plane geometry in a simple form while adhering to its depth and rigor. “Gelfand was a great mathematician and also a great teacher. The book provides an atypical view of geometry. Gelfand gets to the intuitive core of geometry, to the phenomena of shapes and how they move in the plane, leading us to a better understanding of what coordinate geometry and axiomatic geometry seek to describe.” – Mark Saul, PhD, Executive Director, Julia Robinson Mathematics Festival”The subject matter is presented as intuitive, interesting and fun. No previous knowledge of the subject is required. Starting from the simplest concepts and by inculcating in the reader the use of visualization skills, [and] after reading the explanations and working through the examples, you will be able to confidently tackle the interesting problems posed. I highly recommend the book to any person interested in this fascinating branch of mathematics.” – Ricardo Gorrin, a student of the Extended Gelfand Correspondence Program in Mathematics (EGCPM)Product details Publisher: Birkh?�user; 1 edition (February 22, 2020) Publication Date: February 22, 2020
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Every student can succeed – Elayn Martin-Gay’s developmental math program is motivated by her firm belief that every student can succeed. Martin-Gay’s focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. Geometry continues her focus on students and what they need to be successful. It was written to provide a solid foundation in Euclidean geometry for students who may not have previous experience in geometry. – – Product details – – – Simultaneous – Publisher: Pearson; 1 edition (February 23, 2016) – Publication Date: February 23, 2016 – –
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China Internet Development Report 2018: Blue Book of World Internet Conference This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry.The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors’ Manual, which can be downloaded from www.cambridge.org/9781107647831. Additional ISBNs 128056850X, 1107487188, 9781280568503, 9781107487185Geometry 2nd Edition is written by David A. Brannan; Matthew F. Esplen; Jeremy J. Gray and published by Cambridge University Press. ISBNs for Geometry are 9781107487185, 1107487188 and the print ISBNs are 9781107647831, 1107647835. Additional ISBNs include 128056850X, 1107487188, 9781280568503, 9781107487185.
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This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors’ Manual, which can be downloaded from www.cambridge.org/9781107647831.Geometry 2nd Edition is written by David A. Brannan; Matthew F. Esplen; Jeremy J. Gray and published by Cambridge University Press. ISBNs for Geometry are 9781139200653, 1139200658 and the print ISBNs are 9781107647831, 1107647835.
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