Famous Problems Of Geometry And How To Solve Them

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Famous Problems Of Geometry And How To Solve Them
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Author : Benjamin Bold
language : en
Publisher: Courier Corporation
Release Date : 2012-05-11
Famous Problems Of Geometry And How To Solve Them written by Benjamin Bold and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-11 with Science categories.
Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.
Famous Problems Of Geometry And How To Solve Them
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Author : Benjamin Bold
language : en
Publisher:
Release Date : 1982
Famous Problems Of Geometry And How To Solve Them written by Benjamin Bold and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Geometry categories.
Methods Of Solving Complex Geometry Problems
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Author : Ellina Grigorieva
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-13
Methods Of Solving Complex Geometry Problems written by Ellina Grigorieva and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-13 with Mathematics categories.
This book is a unique collection of challenging geometry problems and detailed solutions that will build students’ confidence in mathematics. By proposing several methods to approach each problem and emphasizing geometry’s connections with different fields of mathematics, Methods of Solving Complex Geometry Problems serves as a bridge to more advanced problem solving. Written by an accomplished female mathematician who struggled with geometry as a child, it does not intimidate, but instead fosters the reader’s ability to solve math problems through the direct application of theorems. Containing over 160 complex problems with hints and detailed solutions, Methods of Solving Complex Geometry Problems can be used as a self-study guide for mathematics competitions and for improving problem-solving skills in courses on plane geometry or the history of mathematics. It contains important and sometimes overlooked topics on triangles, quadrilaterals, and circles such as the Menelaus-Ceva theorem, Simson’s line, Heron’s formula, and the theorems of the three altitudes and medians. It can also be used by professors as a resource to stimulate the abstract thinking required to transcend the tedious and routine, bringing forth the original thought of which their students are capable. Methods of Solving Complex Geometry Problems will interest high school and college students needing to prepare for exams and competitions, as well as anyone who enjoys an intellectual challenge and has a special love of geometry. It will also appeal to instructors of geometry, history of mathematics, and math education courses.
Challenging Problems In Geometry
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Author : Alfred S. Posamentier
language : en
Publisher: Courier Corporation
Release Date : 2012-04-30
Challenging Problems In Geometry written by Alfred S. Posamentier and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Mathematics categories.
Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.
Taxicab Geometry
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Author : Eugene F. Krause
language : en
Publisher: Courier Corporation
Release Date : 1986-01-01
Taxicab Geometry written by Eugene F. Krause and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-01 with Mathematics categories.
Develops a simple non-Euclidean geometry and explores some of its practical applications through graphs, research problems, and exercises. Includes selected answers.
Learning To Teach Mathematics In The Secondary School
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Author : Sue Johnston-Wilder
language : en
Publisher: Taylor & Francis
Release Date : 2016-09-13
Learning To Teach Mathematics In The Secondary School written by Sue Johnston-Wilder and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-13 with Education categories.
Learning to Teach Mathematics in the Secondary School combines theory and practice to present a broad introduction to the opportunities and challenges of teaching mathematics in the secondary school classroom. This fourth edition has been fully updated to reflect the latest changes to the curriculum and research in the field, taking into account key developments in teacher training and education, including examinations and assessment. Written specifically with the new and student teacher in mind, the book covers a wide range of issues related to the teaching of mathematics, such as: why we teach mathematics the place of mathematics in the National Curriculum planning, teaching and assessing for mathematics learning how to communicate mathematically using digital technology to advance mathematical learning working with students with special educational needs post-16 teaching the importance of professional development the affective dimension when learning mathematics, including motivation, confidence and resilience Already a major text for many university teaching courses, this revised edition features a glossary of useful terms and carefully designed tasks to prompt critical reflection and support thinking and writing up to Masters Level. Issues of professional development are also examined, as well as a range of teaching approaches and styles from whole-class strategies to personalised learning, helping you to make the most of school experience, during your training and beyond. Designed for use as a core textbook, Learning to Teach Mathematics in the Secondary School provides essential guidance and advice for all those who aspire to be effective mathematics teachers.
A Survey Of Finite Mathematics
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Author : Marvin Marcus
language : en
Publisher: Courier Corporation
Release Date : 1993-01-01
A Survey Of Finite Mathematics written by Marvin Marcus and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Mathematics categories.
Outstanding undergraduate text, suitable for non-mathematics majors, introduces fundamentals of linear algebra and theory of convex sets. Includes 150 worked examples and over 1,200 exercises. Answers to selected exercises. Bibliography. 1969 edition.
Character Theory Of Finite Groups
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Author : I. Martin Isaacs
language : en
Publisher: Courier Corporation
Release Date : 1994-01-01
Character Theory Of Finite Groups written by I. Martin Isaacs and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
"The book is a pleasure to read. There is no question but that it will become, and deserves to be, a widely used textbook and reference." — Bulletin of the American Mathematical Society. Character theory provides a powerful tool for proving theorems about finite groups. In addition to dealing with techniques for applying characters to "pure" group theory, a large part of this book is devoted to the properties of the characters themselves and how these properties reflect and are reflected in the structure of the group. Chapter I consists of ring theoretic preliminaries. Chapters 2 to 6 and 8 contain the basic material of character theory, while Chapter 7 treats an important technique for the application of characters to group theory. Chapter 9 considers irreducible representations over arbitrary fields, leading to a focus on subfields of the complex numbers in Chapter 10. In Chapter 15 the author introduces Brauer’s theory of blocks and "modular characters." Remaining chapters deal with more specialized topics, such as the connections between the set of degrees of the irreducible characters and structure of a group. Following each chapter is a selection of carefully thought out problems, including exercises, examples, further results and extensions and variations of theorems in the text. Prerequisites for this book are some basic finite group theory: the Sylow theorems, elementary properties of permutation groups and solvable and nilpotent groups. Also useful would be some familiarity with rings and Galois theory. In short, the contents of a first-year graduate algebra course should be sufficient preparation.
A Course In Modern Geometries
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Author : Judith N. Cederberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
A Course In Modern Geometries written by Judith N. Cederberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 introduces Euclid's geometry and the basic ideas of non-Euclidean geometry. The synthetic approach of Chapters 1 - 2 is followed by the analytic treatment of transformations of the Euclidean plane in Chapter 3. Chapter 4 presents plane projective geometry both synthetically and analytically. The extensive use of matrix representations of groups of transformations in Chapters 3 - 4 reinforces ideas from linear algebra and serves as excellent preparation for a course in abstract algebra. Each chapter includes a list of suggested sources for applications and/or related topics.
Elementary Chemical Reactor Analysis
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Author : Rutherford Aris
language : en
Publisher: Courier Corporation
Release Date : 1999-01-01
Elementary Chemical Reactor Analysis written by Rutherford Aris and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Science categories.
Among the best primers on chemical reactor analysis. Thorough, easy-to-follow guide features simple examples and coherent explanations of stoichiometry, thermochemistry and chemical equilibrium, basic reactor types, transient rate of reactors and more. Preface. Appendix. Index. 1989 edition.