Geometric Gems An Appreciation For Geometric Curiosities Volume I The Wonders Of Triangles
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Geometric Gems An Appreciation For Geometric Curiosities Volume I The Wonders Of Triangles
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2024-03-07
Geometric Gems An Appreciation For Geometric Curiosities Volume I The Wonders Of Triangles written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-07 with Mathematics categories.
Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on in school curriculums. The triangle, one of the basic instruments in geometry, has a plethora of unexpected curiosities. Geometric Gems presents one of the largest collections of triangle curiosities currently available, which the authors discuss in an easily understood fashion, requiring nothing more of readers other than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating triangle properties.
Geometric Gems An Appreciation For Geometric Curiosities Volume Ii The Wonders Of Quadrilaterals
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Author : Alfred S Posamentier
language : en
Publisher:
Release Date : 2024-08-31
Geometric Gems An Appreciation For Geometric Curiosities Volume Ii The Wonders Of Quadrilaterals written by Alfred S Posamentier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-31 with Mathematics categories.
Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on at school. The quadrilateral, one of the basic instruments in geometry, has a plethora of unexpected curiosities. The authors present these in an easily understood fashion, requiring nothing more than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating quadrilateral properties.
Geometrical Kaleidoscope Second Edition
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Author : Boris Pritsker
language : en
Publisher: World Scientific
Release Date : 2024-03-14
Geometrical Kaleidoscope Second Edition written by Boris Pritsker and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-14 with Mathematics categories.
The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal interesting geometrical properties. The emphasis is on the practical applications of theory in the problem-solving process. The chapters cover a myriad of topics among which are the classic theorems and formulas such as Archimedes' Law of the Lever, the Pythagorean Theorem, Heron's formula, Brahmagupta's formula, Appollonius's Theorem, Euler's line properties, the Nine-Point Circle, Fagnano's Problem, the Steiner-Lehmus Theorem, Napoleon's Theorem, Ceva's Theorem, Menelaus's Theorem, Pompeiu's Theorem, and Morley's Miracle. The book focuses on geometric thinking — what it means, how to develop it, and how to recognize it. 'Geometrical Kaleidoscope' consists of a kaleidoscope of topics that seem to not be related at first glance. However, that perception disappears as you go from chapter to chapter and explore the multitude of surprising relationships, unexpected connections, and links. Readers solving a chain of problems will learn from them general techniques, rather than isolated instances of the application of a technique. In spite of the many problems' challenging character, their solutions require no more than a basic knowledge covered in a high school geometry curriculum. There are plenty of problems for readers to work out for themselves (solutions are provided at the end of the book).In the 2nd edition of the book there are many new ideas and additional explanations that help the reader better understand the solutions of problems and connect the chapters to one another. A new chapter 'Alternative proofs of the Pythagorean Theorem' is added. It covers seven different proofs of the famous theorem and discusses its generalizations and applications. There is also Appendix and Index added, which were missing in the first edition of the book.
Geometric Gems An Appreciation For Geometric Curiosities Volume I The Wonders Of Triangles
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Author : Alfred S. Posamentier
language : en
Publisher: World Scientific Publishing Company
Release Date : 2024
Geometric Gems An Appreciation For Geometric Curiosities Volume I The Wonders Of Triangles written by Alfred S. Posamentier and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Mathematics categories.
Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on in school curriculums. The triangle, one of the basic instruments in geometry, has a plethora of unexpected curiosities. Geometric Gems presents one of the largest collections of triangle curiosities currently available, which the authors discuss in an easily understood fashion, requiring nothing more of readers other than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating triangle properties.
Engaging Young Students In Mathematics Through Competitions World Perspectives And Practices Volume Iii Keeping Competition Mathematics Engaging In Pandemic Times
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Author : Robert Geretschlager
language : en
Publisher: World Scientific
Release Date : 2024-01-16
Engaging Young Students In Mathematics Through Competitions World Perspectives And Practices Volume Iii Keeping Competition Mathematics Engaging In Pandemic Times written by Robert Geretschlager and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-16 with Mathematics categories.
Engaging Young Students in Mathematics through Competitions presents a wide range of topics relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment. Following the earlier two volumes, contributors explore a wide variety of fascinating problems of the type often presented at mathematics competitions. In this new third volume, many chapters are directly related to the challenges involved in organizing competitions under Covid-19, including many positive aspects resulting from the transition to online formats. There are also sections devoted to background information on connections between the mathematics of competitions and their organization, as well as the competitions' interplay with research, teaching and more.The various chapters are written by an international group of authors involved in problem development, many of whom were participants of the 9th Congress of the World Federation of National Mathematics Competitions in Bulgaria in 2022. Together, they provide a deep sense of the issues involved in creating such problems for competition mathematics and recreational mathematics.
The Joy Of Mathematics
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Author : Alfred S. Posamentier
language : en
Publisher: Prometheus Books
Release Date : 2017-08-22
The Joy Of Mathematics written by Alfred S. Posamentier and has been published by Prometheus Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-22 with Mathematics categories.
Wouldn't it be great if all school teachers (from kindergarten through high school) would share the joy of mathematics with their students, rather than focus only on the prescribed curriculum that will subsequently be tested? This book reveals some of the wonders of mathematics that are often missing from classrooms. Here's your chance to catch up with the math gems you may have missed. Using jargon-free language and many illustrations, the authors--all veteran math educators--explore five areas--arithmetic, algebra, geometry, probability, and the ways in which mathematics can reinforce common sense. Among other things, you'll learn "the rule of 72," which enables you to quickly determine how long it will take your bank account to double its value at a specific interest rate. Other handy techniques include an automatic algorithm for multiplying numbers mentally and a clever application that will allow you to convert from miles to kilometers (or the reverse) mentally. A delightful presentation of geometric novelties reveals relationships that could have made your study of geometry more fun and enlightening. In the area of probability there is a host of interesting examples: from the famous Monty-Hall problem to the counterintuitive probability of two people having the same birthday in a crowded room. Finally, the authors demonstrate how math will make you a better thinker by improving your organizing abilities and providing useful and surprising solutions to common mathematics problems. You'll come away with an appreciation for math you never thought possible and a true appreciation for this "queen of the sciences."
Problems And Solutions In Mathematics
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Author : Ji-Xiu Chen
language : en
Publisher: World Scientific
Release Date : 2011
Problems And Solutions In Mathematics written by Ji-Xiu Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. While the depth of knowledge involved is not beyond the contents of the textbooks for graduate students, discovering the solution of the problems requires a deep understanding of the mathematical principles plus skilled techniques. For students, this book is a valuable complement to textbooks. Whereas for lecturers teaching graduate school mathematics, it is a helpful reference.
The Shape Of Inner Space
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Author : Shing-Tung Yau
language : en
Publisher: Hachette UK
Release Date : 2010-09-07
The Shape Of Inner Space written by Shing-Tung Yau and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-07 with Science categories.
String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe. Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau's penetrating thinking on where we've been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.
The Sense Of An Ending
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Author : Julian Barnes
language : en
Publisher: Random House
Release Date : 2011-08-04
The Sense Of An Ending written by Julian Barnes and has been published by Random House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-04 with Fiction categories.
A monumental novel capturing how one man comes to terms with the mutable past. 'A masterpiece... I would urge you to read - and re-read ' Daily Telegraph **Winner of the Man Booker Prize for Fiction** Tony Webster and his clique first met Adrian Finn at school. Sex-hungry and book-hungry, they would navigate the girl-less sixth form together, trading in affectations, in-jokes, rumour and wit. Maybe Adrian was a little more serious than the others, certainly more intelligent, but they all swore to stay friends for life. Now Tony is retired. He's had a career and a single marriage, a calm divorce. He's certainly never tried to hurt anybody. Memory, though, is imperfect. It can always throw up surprises, as a lawyer's letter is about to prove.
Curiosities Of Literature
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Author : Isaac Disraeli
language : en
Publisher:
Release Date : 1823
Curiosities Of Literature written by Isaac Disraeli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1823 with English literature categories.