A Mathematical Journey
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A Mathematical Bridge
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Author : Stephen Fletcher Hewson
language : en
Publisher: World Scientific
Release Date : 2009
A Mathematical Bridge written by Stephen Fletcher Hewson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Education categories.
Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does.The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.
Markov S Theorem And 100 Years Of The Uniqueness Conjecture
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Author : Martin Aigner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-18
Markov S Theorem And 100 Years Of The Uniqueness Conjecture written by Martin Aigner 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 2013-07-18 with Mathematics categories.
This book takes the reader on a mathematical journey, from a number-theoretic point of view, to the realm of Markov’s theorem and the uniqueness conjecture, gradually unfolding many beautiful connections until everything falls into place in the proof of Markov’s theorem. What makes the Markov theme so attractive is that it appears in an astounding variety of different fields, from number theory to combinatorics, from classical groups and geometry to the world of graphs and words. On the way, there are also introductory forays into some fascinating topics that do not belong to the standard curriculum, such as Farey fractions, modular and free groups, hyperbolic planes, and algebraic words. The book closes with a discussion of the current state of knowledge about the uniqueness conjecture, which remains an open challenge to this day. All the material should be accessible to upper-level undergraduates with some background in number theory, and anything beyond this level is fully explained in the text. This is not a monograph in the usual sense concentrating on a specific topic. Instead, it narrates in five parts – Numbers, Trees, Groups, Words, Finale – the story of a discovery in one field and its many manifestations in others, as a tribute to a great mathematical achievement and as an intellectual pleasure, contemplating the marvellous unity of all mathematics.
The Secrets Of Triangles
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Author : Alfred S. Posamentier
language : en
Publisher: Prometheus Books
Release Date : 2012-08-28
The Secrets Of Triangles 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 2012-08-28 with Mathematics categories.
Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point-no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.
Journey Into Mathematics
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Author : Joseph J. Rotman
language : en
Publisher: Courier Corporation
Release Date : 2013-01-18
Journey Into Mathematics written by Joseph J. Rotman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-18 with Mathematics categories.
This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.
1089 And All That
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Author : D. J. Acheson
language : en
Publisher: Oxford University Press, USA
Release Date : 2002
1089 And All That written by D. J. Acheson and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This excellent book, written by the established author David Acheson, makes mathematics accessible to everyone. Providing an entertaining and witty overview of the subject, the text includes several fascinating puzzles, and is accompanied by numerous illustrations and sketches by world famouscartoonists. This unusual book is one of the most readable explanations of mathematics available.
The Mathematical Universe
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Author : William Dunham
language : en
Publisher: John Wiley & Sons
Release Date : 1994-08-16
The Mathematical Universe written by William Dunham and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08-16 with Mathematics categories.
"Dunham writes for nonspecialists, and they will enjoy his piquantanecdotes and amusing asides -- Booklist "Artfully, Dunham conducts a tour of the mathematical universe. . .he believes these ideas to be accessible to the audience he wantsto reach, and he writes so that they are." -- Nature "If you want to encourage anyone's interest in math, get them TheMathematical Universe." * New Scientist
A Mathematical Odyssey
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Author : Steven G. Krantz
language : en
Publisher: Springer
Release Date : 2014-05-10
A Mathematical Odyssey written by Steven G. Krantz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Mathematics is a poem. It is a lucid, sensual, precise exposition of beautiful ideas directed to specific goals. It is worthwhile to have as broad a cross-section of mankind as possible be conversant with what goes on in mathematics. Just as everyone knows that the Internet is a powerful and important tool for communication, so everyone should know that the Poincaré conjecture gives us important information about the shape of our universe. Just as every responsible citizen realizes that the mass-production automobile was pioneered by Henry Ford, so everyone should know that the P/NP problem has implications for security and data manipulation that will affect everyone. This book endeavors to tell the story of the modern impact of mathematics, of its trials and triumphs and insights, in language that can be appreciated by a broad audience. It endeavors to show what mathematics means for our lives, how it impacts all of us, and what new thoughts it should cause us to entertain. It introduces new vistas of mathematical ideas and shares the excitement of new ideas freshly minted. It discusses the significance and impact of these ideas, and gives them meaning that will travel well and cause people to reconsider their place in the universe. Mathematics is one of mankind's oldest disciplines. Along with philosophy, it has shaped the very modus of human thought. And it continues to do so. To be unaware of modern mathematics is to miss out on a large slice of life. It is to be left out of essential modern developments. We want to address this point, and do something about it. This is a book to make mathematics exciting for people of all interests and all walks of life. Mathematics is exhilarating, it is ennobling, it is uplifting, and it is fascinating. We want to show people this part of our world, and to get them to travel new paths.
In Code
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Author : Sarah Flannery
language : en
Publisher: Workman Publishing
Release Date : 2001
In Code written by Sarah Flannery and has been published by Workman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Biography & Autobiography categories.
A self-portrait of the Irish mathematician describes how her love for mathematics led her to ground-breaking discoveries in Internet cryptography, making her the recipient of Young Scientist of the Year awards in Ireland and Europe.
The Puzzles Of Mars A Mathematical Journey
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Author : Richard M. Beekman
language : en
Publisher: Lulu.com
Release Date : 2017-05-14
The Puzzles Of Mars A Mathematical Journey written by Richard M. Beekman and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-14 with Games & Activities categories.
The Puzzles of Mars is a puzzle book intended for bright or gifted young people in grades 8 through 12. The book is a fictional tale about a mathematician from Earth who travels to the planet Mars to share and exchange puzzles with Martians at the Martian Academy of Sciences. Most of the puzzles appear to be difficult, yet they have simple, ingenious solutions. Some of the puzzles require a little mathematical skill, though not much beyond what is usually taught in American grade schools. The main focus is on puzzles that are based on important mathematical ideas and concepts. Each puzzle is a special instance of deep, important mathematical ideas like symmetry, invariance, parity, and relative motion. A Notes for Teachers section is included with ideas and questions to stimulate classroom discussion of mathematical ideas and concepts.
A Mathematical Journey
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Author : Michael W. Ecker
language : en
Publisher:
Release Date : 1994-01-01
A Mathematical Journey written by Michael W. Ecker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with categories.