Pythagorean Triangles
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Pythagorean Triangles
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Author : Waclaw Sierpinski
language : en
Publisher: Courier Corporation
Release Date : 2013-04-10
Pythagorean Triangles written by Waclaw Sierpinski and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-10 with Mathematics categories.
This classic text, written by a distinguished mathematician and teacher, focuses on a fundamental theory of geometry. Topics include all types of Pythagorean triangles.
The Pythagorean Triangle Or The Science Of Numbers
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Author : George Oliver
language : en
Publisher:
Release Date : 1875
The Pythagorean Triangle Or The Science Of Numbers written by George Oliver and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1875 with Freemasonry categories.
Mathematics Before And After Pythagoras
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Author : Ravi P. Agarwal
language : en
Publisher: Springer Nature
Release Date : 2024-11-29
Mathematics Before And After Pythagoras written by Ravi P. Agarwal and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-29 with Mathematics categories.
This book provides the reader with a comprehensive account of the contributions of Pythagoras to mathematics and philosophy, using them as a starting point to compare pre-Pythagorean accomplishments with the myriad mathematical developments that followed. It begins with a thorough study of Pythagoreanism and the early Pythagoreans, including the major events in Pythagoras' life and the origins of the mystical significance attributed by Pythagoreans to natural numbers. From Chapter 3 onward, the book describes how mathematical thinking works and prepares the reader for the subsequent chapters, which cover mathematical logic and proofs, their application to the study of natural and prime numbers, the investigation of Pythagorean triples, figurative numbers, and irrational numbers, all interwoven with rich historical context. Aimed at students and teachers at all levels, this work is accessible to non-mathematicians as well, with the main prerequisite being an avid curiosity about some of the ideas and thinkers that helped to forge the mathematical world as we know it. Early praises for “Mathematics Before and After Pythagoras”: “Your book is charming and fun to read. It would be fine to be able to teach from it.” (Steve Krantz, USA) “...your new book, an obvious labor of love... I can see that it will be an inspiration for young students.” (Bruce Berndt, USA) “It is an excellent book, and I am deeply grateful for sending it to me. It is an extraordinary gift, and I am so grateful for this.” (Carlo Cattani, Italy) “I am really impressed by the wealth of interesting material you have collected and presented.” (Rainer Kress, Germany)
Elementary Theory Of Numbers
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Author : W. Sierpinski
language : en
Publisher: Elsevier
Release Date : 1988-02-01
Elementary Theory Of Numbers written by W. Sierpinski and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-02-01 with Mathematics categories.
Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised.The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.
A Pythagorean Introduction To Number Theory
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Author : Ramin Takloo-Bighash
language : en
Publisher: Springer
Release Date : 2018-11-26
A Pythagorean Introduction To Number Theory written by Ramin Takloo-Bighash and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-26 with Mathematics categories.
Right triangles are at the heart of this textbook’s vibrant new approach to elementary number theory. Inspired by the familiar Pythagorean theorem, the author invites the reader to ask natural arithmetic questions about right triangles, then proceeds to develop the theory needed to respond. Throughout, students are encouraged to engage with the material by posing questions, working through exercises, using technology, and learning about the broader context in which ideas developed. Progressing from the fundamentals of number theory through to Gauss sums and quadratic reciprocity, the first part of this text presents an innovative first course in elementary number theory. The advanced topics that follow, such as counting lattice points and the four squares theorem, offer a variety of options for extension, or a higher-level course; the breadth and modularity of the later material is ideal for creating a senior capstone course. Numerous exercises are included throughout, many of which are designed for SageMath. By involving students in the active process of inquiry and investigation, this textbook imbues the foundations of number theory with insights into the lively mathematical process that continues to advance the field today. Experience writing proofs is the only formal prerequisite for the book, while a background in basic real analysis will enrich the reader’s appreciation of the final chapters.
Pythagoras And His Theorem
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Author : Paul Strathern
language : en
Publisher: Random House
Release Date : 2012-10-31
Pythagoras And His Theorem written by Paul Strathern and has been published by Random House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-31 with Science categories.
At a moment of great discovery, one Big Idea can change the world... Pythagoras was arguably the first 'genius' of Western culture, establishing a blend of high intellect and high lunacy, both of which have become recurrent features of this scholarly heritage.Most memorably, he created the Pythagorean Theorem, and established the concept of proofs in mathematics. Less well known was the religion he founded which forbade his disciples from eating beans or stepping over fallen poles! Pythagoras & His Theorem tells the remarkable story of the life of this poorly understood genius and the transformation his work brought about in mathematics. Pythagoras' Big Idea is presented in an accessible and enthralling way, providing an explanation of the meaning of his work, its historical and scientific context, and significance for the world in which we live. The Big Idea series is a fascinating look at the greatest advances in our scientific history, and at the men and women who made these fundamental breakthroughs.
Fermat S Last Theorem
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Author : Harold M. Edwards
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-01-14
Fermat S Last Theorem written by Harold M. Edwards 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 2000-01-14 with Mathematics categories.
This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such as Eulers proof of the impossibilty of x+y=z, are treated in an uncomplicated way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the application of Kummers theory to quadratic integers and relates this to Gauss'theory of binary quadratic forms, an interesting and important connection that is not explored in any other book.
Cogitations On Advances In Physical And Mathematical Sciences
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Author : J.G.VALAN ARASU,MITA DARBARI
language : en
Publisher: SHREE VINAYAK PUBLICATION
Release Date : 2022-06-24
Cogitations On Advances In Physical And Mathematical Sciences written by J.G.VALAN ARASU,MITA DARBARI and has been published by SHREE VINAYAK PUBLICATION this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-24 with Mathematics categories.
Martin Gardner S 6th Book Of Mathematical Diversions From Textit Scientific Textit American
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Author : Martin Gardner
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-10-06
Martin Gardner S 6th Book Of Mathematical Diversions From Textit Scientific Textit American written by Martin Gardner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-06 with Mathematics categories.
Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1971 edition and contains columns published in the magazine from 1963-1965.
The Mathematics Of Harmony
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Author : Alekse? Petrovich Stakhov
language : en
Publisher: World Scientific
Release Date : 2009
The Mathematics Of Harmony written by Alekse? Petrovich Stakhov 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 Mathematics categories.
Assisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the ?Mathematics of Harmony,? a new interdisciplinary direction of modern science. This direction has its origins in ?The Elements? of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the ?golden? algebraic equations, the generalized Binet formulas, Fibonacci and ?golden? matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and ?golden? matrices).The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.