Into Geometry
Author | : Edward B. Burger |
Publisher | : |
Total Pages | : 752 |
Release | : 2020 |
Genre | : Algebra |
ISBN | : 9780358119395 |
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Author | : Edward B. Burger |
Publisher | : |
Total Pages | : 752 |
Release | : 2020 |
Genre | : Algebra |
ISBN | : 9780358119395 |
Author | : Richard Rusczyk |
Publisher | : Aops Incorporated |
Total Pages | : 557 |
Release | : 2007-07-01 |
Genre | : Juvenile Nonfiction |
ISBN | : 9781934124086 |
Author | : Jo Greig |
Publisher | : Tutor in a Book |
Total Pages | : 294 |
Release | : 2014 |
Genre | : Geometry |
ISBN | : 9780978639037 |
Tutor In a Book's Geometry presents a teen tested visual presentation of the course and includes more than 500 well illustrated, carefully worked out proofs and problems, with step by step explanations. Throughout the book, time tested solution and test taking strategies are demonstrated and emphasized. The recurring patterns that make proofs doable are explained and illustrated. Included are dozens of graphic organizers that help students understand, remember and recognize the connection between concepts, as well as comprehensive review sheets. Tutor in a Book's Geometry is designed to replicate the services of a skilled private mathematics tutor and to level the playing field between students who have tutors and those that don't.
Author | : Dmitri Burago |
Publisher | : American Mathematical Society |
Total Pages | : 415 |
Release | : 2022-01-27 |
Genre | : Mathematics |
ISBN | : 1470468530 |
“Metric geometry” is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Carathéodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces). The authors tend to work with “easy-to-touch” mathematical objects using “easy-to-visualize” methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of the exposition.
Author | : R. P. Burn |
Publisher | : Cambridge University Press |
Total Pages | : 260 |
Release | : 1987-09-03 |
Genre | : Mathematics |
ISBN | : 9780521347938 |
Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questions that will enable the reader, through participation, to study all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Möbius transformations and stereographic projection, are also included. Quaternions and their relationships to 3-dimensional isometries are covered, and the climax of the book is a study of the crystallographic groups, with a complete analysis of these groups in two dimensions.
Author | : John Stillwell |
Publisher | : Springer Science & Business Media |
Total Pages | : 240 |
Release | : 2005-08-09 |
Genre | : Mathematics |
ISBN | : 0387255303 |
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Author | : Dan Pedoe |
Publisher | : Courier Corporation |
Total Pages | : 466 |
Release | : 2013-04-02 |
Genre | : Mathematics |
ISBN | : 0486131734 |
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
Author | : Workman Publishing |
Publisher | : Workman Publishing Company |
Total Pages | : 631 |
Release | : 2020-09-29 |
Genre | : Juvenile Nonfiction |
ISBN | : 1523512024 |
Geometry? No problem! This Big Fat Notebook covers everything you need to know during a year of high school geometry class, breaking down one big bad subject into accessible units. Learn to study better and get better grades using mnemonic devices, definitions, diagrams, educational doodles, and quizzes to recap it all. Featuring: Logic and reasoning Parallel lines Triangles and congruence Trapezoids and kites Ratio and proportion The pythagorean theorem The fundamentals of circles Area Volume of prisms and cylinders And more
Author | : J. L. Heilbron |
Publisher | : Oxford University Press |
Total Pages | : 344 |
Release | : 2000 |
Genre | : History |
ISBN | : 9780198506904 |
This lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections.
Author | : Andreĭ Petrovich Kiselev |
Publisher | : |
Total Pages | : 192 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : |
This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.