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Textbooks for College and Above
Textbooks is a catch-all term used here for any type of book that is specifically designed for education. The category includes teacher guides, workbooks, activity guides, unit studies, and traditional classroom textbooks.
"Geometry of Surfaces explores the interplay between geometry and topology in the simplest nontrivial case: the surfaces of constant curvature. As such, it provides a concise introduction to modern geometry for a wide audience." — From the back cover
"Numbers and Geometry is a beautiful and relatively elementary account of a part of mathematics where three main fields—algebra, analysis, and geometry—meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre-calculus) book." — From the back cover
"These books are intended to introduce students to algebraic geometry; to give them a sense of the basic objects considered, the questions asked about them, and the sort of answers one can expect to obtain. It thus emphasizes the classical roots of the subject." — From the back cover
"Although there is enough material in the book for a full-year course (or a topics course), we tried to make the book suitable for a first course on differential geometry for students with some background in linear algebra and advanced calculus." — From "Some Remarks on Using This Book" (page vii)
"This is a genuine introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences." — From the back cover
Student Mathematical Library, Volume 16: Differential Geometry: Curves - Surfaces - Manifolds, Second Edition (Softcover)
"This carefully written book is an introduction to the beautiful ideas and results of differential geometry." — From the back cover
"This book is not a research monograph or a reference book (although research interests of the authors influenced it a lot)—this is a textbook. Its structure is similar to that of a graduate course." — From the Preface (page xi)
"The theory of schemes is the foundation for algebraic geometry proposed and elaborated by Alexander Grothendieck and his co-workers. It has allowed major progress in classical areas of algebraic geometry such as invariant theory and the moduli of curves." — From the back cover
"Students and professors of an undergraduate course in differential geometry will appreciate the clear exposition and comprehensive exercises in this book that focuses on the geometric properties of curves and surfaces, one-and-two-dimensional objects in Euclidean spaces." — From the back cover
Not only does this textbook introduce your student to Geometry, but it also delves into using the LOGO and BASIC computer programming languages, graphing calculators, and spreadsheets. Examples of SAT and ACT problems are also included, as well as connections to other sciences, history, and art.