Problems In Geometry

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Geometry in Problems

Author : Alexander Shen
Publisher : American Mathematical Soc.
ISBN 13 : 1470419211
Total Pages : 229 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Geometry in Problems by : Alexander Shen

Download or read book Geometry in Problems written by Alexander Shen and published by American Mathematical Soc.. This book was released on 2016 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Euclidean geometry, with all its triangles, circles, and inscribed angles, remains an excellent playground for high-school mathematics students, even if it looks outdated from the professional mathematician's viewpoint. It provides an excellent choice of elegant and natural problems that can be used in a course based on problem solving. The book contains more than 750 (mostly) easy but nontrivial problems in all areas of plane geometry and solutions for most of them, as well as additional problems for self-study (some with hints). Each chapter also provides concise reminders of basic notions used in the chapter, so the book is almost self-contained (although a good textbook and competent teacher are always recommended). More than 450 figures illustrate the problems and their solutions. The book can be used by motivated high-school students, as well as their teachers and parents. After solving the problems in the book the student will have mastered the main notions and methods of plane geometry and, hopefully, will have had fun in the process. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. What a joy! Shen's ``Geometry in Problems'' is a gift to the school teaching world. Beautifully organized by content topic, Shen has collated a vast collection of fresh, innovative, and highly classroom-relevant questions, problems, and challenges sure to enliven the minds and clever thinking of all those studying Euclidean geometry for the first time. This book is a spectacular resource for educators and students alike. Users will not only sharpen their mathematical understanding of specific topics but will also sharpen their problem-solving wits and come to truly own the mathematics explored. Also, Math Circle leaders can draw much inspiration for session ideas from the material presented in this book. --James Tanton, Mathematician-at-Large, Mathematical Association of America We learn mathematics best by doing mathematics. The author of this book recognizes this principle. He invites the reader to participate in learning plane geometry through carefully chosen problems, with brief explanations leading to much activity. The problems in the book are sometimes deep and subtle: almost everyone can do some of them, and almost no one can do all. The reader comes away with a view of geometry refreshed by experience. --Mark Saul, Director of Competitions, Mathematical Association of America

Challenging Problems in Geometry

Author : Alfred S. Posamentier
Publisher : Courier Corporation
ISBN 13 : 0486134865
Total Pages : 275 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Challenging Problems in Geometry by : Alfred S. Posamentier

Download or read book Challenging Problems in Geometry written by Alfred S. Posamentier and published by Courier Corporation. This book was released on 2012-04-30 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Problems in Geometry

Author : Marcel Berger
Publisher : Springer Science & Business Media
ISBN 13 : 1475718365
Total Pages : 275 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Problems in Geometry by : Marcel Berger

Download or read book Problems in Geometry written by Marcel Berger and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written as a supplement to Marcel Berger’s popular two-volume set, Geometry I and II (Universitext), this book offers a comprehensive range of exercises, problems, and full solutions. Each chapter corresponds directly to one in the relevant volume, from which it also provides a summary of key ideas. Where the original Geometry volumes tend toward challenging problems without hints, this book offers a wide range of material that begins at an accessible level, and includes suggestions for nearly every problem. Bountiful in illustrations and complete in its coverage of topics from affine and projective spaces, to spheres and conics, Problems in Geometry is a valuable addition to studies in geometry at many levels.

Famous Problems of Geometry and How to Solve Them

Author : Benjamin Bold
Publisher : Courier Corporation
ISBN 13 : 0486137635
Total Pages : 148 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Famous Problems of Geometry and How to Solve Them by : Benjamin Bold

Download or read book Famous Problems of Geometry and How to Solve Them written by Benjamin Bold and published by Courier Corporation. This book was released on 2012-05-11 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Humongous Book of Algebra Problems

Author : W. Michael Kelley
Publisher : Penguin
ISBN 13 : 9781592577224
Total Pages : 576 pages
Book Rating : 4.5/5 (772 download)

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Book Synopsis The Humongous Book of Algebra Problems by : W. Michael Kelley

Download or read book The Humongous Book of Algebra Problems written by W. Michael Kelley and published by Penguin. This book was released on 2008-07 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents algebra exercises with easy-to-follow guidelines, and includes over one thousand problems in numerous algebraic topics.

Unsolved Problems in Geometry

Author : Hallard T. Croft
Publisher : New York : Springer-Verlag
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Unsolved Problems in Geometry by : Hallard T. Croft

Download or read book Unsolved Problems in Geometry written by Hallard T. Croft and published by New York : Springer-Verlag. This book was released on 1991 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: For mathematicians or others who wish to keep up to date with the state of the art of geometrical problems, this collection of problems that are easy to state and understand but are as yet unsolved covers a wide variety of topics including convex sets, polyhedra, packing and covering, tiling, and combinatorial problems. Annotation copyrighted by Book News, Inc., Portland, OR.

Unsolved Problems in Geometry

Author : Hallard T. Croft
Publisher : Springer Science & Business Media
ISBN 13 : 1461209633
Total Pages : 213 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Unsolved Problems in Geometry by : Hallard T. Croft

Download or read book Unsolved Problems in Geometry written by Hallard T. Croft and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of being easy to state, perhaps with the aid of a simple diagram. Each section in the book describes a problem or a group of related problems. Usually the problems are capable of generalization of variation in many directions. The book can be appreciated at many levels and is intended for everyone from amateurs to research mathematicians.

Methods of Solving Complex Geometry Problems

Author : Ellina Grigorieva
Publisher : Springer Science & Business Media
ISBN 13 : 331900705X
Total Pages : 247 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Methods of Solving Complex Geometry Problems by : Ellina Grigorieva

Download or read book Methods of Solving Complex Geometry Problems written by Ellina Grigorieva and published by Springer Science & Business Media. This book was released on 2013-08-13 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics via Problems

Author : Mikhail B. Skopenkov
Publisher : American Mathematical Society, Simons Laufer Mathematical Sciences Institute (SLMath, formerly MSRI)
ISBN 13 : 1470460106
Total Pages : 222 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematics via Problems by : Mikhail B. Skopenkov

Download or read book Mathematics via Problems written by Mikhail B. Skopenkov and published by American Mathematical Society, Simons Laufer Mathematical Sciences Institute (SLMath, formerly MSRI). This book was released on 2023-11-17 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a translation from Russian of Part III of the book Mathematics via Problems: From Olympiads and Math Circles to Profession. Part I, Algebra, and Part II, Geometry, have been published in the same series. The main goal of this book is to develop important parts of mathematics through problems. The authors tried to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover such topics in combinatorics as counting, graphs, constructions and invariants in combinatorics, games and algorithms, probabilistic aspects of combinatorics, and combinatorial geometry. Definitions and/or references for material that is not standard in the school curriculum are included. To help students that might be unfamiliar with new material, problems are carefully arranged to provide gradual introduction into each subject. Problems are often accompanied by hints and/or complete solutions. The book is based on classes taught by the authors at different times at the Independent University of Moscow, at a number of Moscow schools and math circles, and at various summer schools. It can be used by high school students and undergraduates, their teachers, and organizers of summer camps and math circles. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, SLMath (formerly MSRI) and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

The Humongous Book of Statistics Problems

Author : Robert Donnelly
Publisher : Penguin
ISBN 13 : 1101151390
Total Pages : 732 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis The Humongous Book of Statistics Problems by : Robert Donnelly

Download or read book The Humongous Book of Statistics Problems written by Robert Donnelly and published by Penguin. This book was released on 2009-12-01 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn to solve statistics problems—and make them no problem! Most math and science study guides are dry and difficult, but this is the exception. Following the successful The Humongous Books in calculus and algebra, bestselling author Mike Kelley takes a typical statistics workbook, full of solved problems, and writes notes in the margins, adding missing steps and simplifying concepts and solutions. By learning how to interpret and solve problems as they are presented in statistics courses, students prepare to solve those difficult problems that were never discussed in class but are always on exams. There are also annotated notes throughout the book to clarify each problem—all guided by an author with a great track record for helping students and math enthusiasts. His website (calculus-help.com) reaches thousands of students every month.

Problems in Analytic Geometry

Author : D. Kletenik
Publisher :
ISBN 13 : 9324191756
Total Pages : 269 pages
Book Rating : 4.3/5 (241 download)

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Book Synopsis Problems in Analytic Geometry by : D. Kletenik

Download or read book Problems in Analytic Geometry written by D. Kletenik and published by . This book was released on 2019-02-11 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Problems and Solutions in Euclidean Geometry

Author : M. N. Aref
Publisher : Courier Corporation
ISBN 13 : 0486477207
Total Pages : 274 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Problems and Solutions in Euclidean Geometry by : M. N. Aref

Download or read book Problems and Solutions in Euclidean Geometry written by M. N. Aref and published by Courier Corporation. This book was released on 2010-01-01 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.

Solving Problems in Geometry

Author : Kim Hoo Hang
Publisher : World Scientific Publishing Company
ISBN 13 : 9789814583749
Total Pages : 250 pages
Book Rating : 4.5/5 (837 download)

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Book Synopsis Solving Problems in Geometry by : Kim Hoo Hang

Download or read book Solving Problems in Geometry written by Kim Hoo Hang and published by World Scientific Publishing Company. This book was released on 2017 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new volume of the Mathematical Olympiad Series focuses on the topic of geometry. Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced and illustrated with plenty of examples. Special techniques in solving various types of geometrical problems are also introduced, while the authors elaborate extensively on how to acquire an insight and develop strategies in tackling difficult geometrical problems. This book is suitable for any reader with elementary geometrical knowledge at the lower secondary level. Each chapter includes sufficient scaffolding and is comprehensive enough for the purpose of self-study. Readers who complete the chapters on the basic theorems and techniques would acquire a good foundation in geometry and may attempt to solve many geometrical problems in various mathematical competitions. Meanwhile, experienced contestants in Mathematical Olympiad competitions will find a large collection of problems pitched at competitions at the international level, with opportunities to practise and sharpen their problem-solving skills in geometry.

Challenges in Geometry

Author : Christopher J. Bradley
Publisher : OUP Oxford
ISBN 13 : 0191524263
Total Pages : 218 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Challenges in Geometry by : Christopher J. Bradley

Download or read book Challenges in Geometry written by Christopher J. Bradley and published by OUP Oxford. This book was released on 2005-02-17 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Mathematical Olympiad (IMO) is the World Championship Mathematics Competition for High School students and is held annually in a different country. More than eighty countries are involved. Containing numerous exercises, illustrations, hints and solutions, presented in a lucid and thought-provoking style, this text provides a wide range of skills required in competitions such as the Mathematical Olympiad. More than fifty problems in Euclidean geometry involving integers and rational numbers are presented. Early chapters cover elementary problems while later sections break new ground in certain areas and are a greater challenge for the more adventurous reader. The text is ideal for Mathematical Olympiad training and also serves as a supplementary text for students in pure mathematics, particularly number theory and geometry. Dr. Christopher Bradley was formerly a Fellow and Tutor in Mathematics at Jesus College, Oxford, Deputy Leader of the British Mathematical Olympiad Team and for several years Secretary of the British Mathematical Olympiad Committee.

Mathematics via Problems

Author : Arkadiy Skopenkov
Publisher : American Mathematical Society, Mathematical Sciences Research Institute
ISBN 13 : 1470448785
Total Pages : 196 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematics via Problems by : Arkadiy Skopenkov

Download or read book Mathematics via Problems written by Arkadiy Skopenkov and published by American Mathematical Society, Mathematical Sciences Research Institute. This book was released on 2021-02-11 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a translation from Russian of Part I of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. The other two parts, Geometry and Combinatorics, will be published soon. The main goal of this book is to develop important parts of mathematics through problems. The author tries to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover and recreate much of elementary mathematics and start edging into the sophisticated world of topics such as group theory, Galois theory, and so on, thus building a bridge (by showing that there is no gap) between standard high school exercises and more intricate and abstract concepts in mathematics. Definitions and/or references for material that is not standard in the school curriculum are included. However, many topics in the book are difficult when you start learning them from scratch. To help with this, problems are carefully arranged to provide gradual introduction into each subject. Problems are often accompanied by hints and/or complete solutions The book is based on classes taught by the author at different times at the Independent University of Moscow, at a number of Moscow schools and math circles, and at various summer schools. It can be used by high school students and undergraduates, their teachers, and organizers of summer camps and math circles. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Introduction to Geometry

Author : Richard Rusczyk
Publisher : Aops Incorporated
ISBN 13 : 9781934124086
Total Pages : 557 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis Introduction to Geometry by : Richard Rusczyk

Download or read book Introduction to Geometry written by Richard Rusczyk and published by Aops Incorporated. This book was released on 2007-07-01 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Research Problems in Discrete Geometry

Author : Peter Brass
Publisher : Springer Science & Business Media
ISBN 13 : 0387299297
Total Pages : 507 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Research Problems in Discrete Geometry by : Peter Brass

Download or read book Research Problems in Discrete Geometry written by Peter Brass and published by Springer Science & Business Media. This book was released on 2006-01-27 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a 25-year-old project and comprises a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.