The Elements Of Arithmetic

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Elements Of Mathematics
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Author : John Stillwell
language : en
Publisher: Princeton University Press
Release Date : 2016-05-31
Elements Of Mathematics written by John Stillwell and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-31 with Mathematics categories.
An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics—but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.
Euclid S Elements
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Author : Euclid
language : en
Publisher:
Release Date : 2002
Euclid S Elements written by Euclid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Elements Of Mathematics
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Author : Gabor Toth
language : en
Publisher: Springer Nature
Release Date : 2021-09-23
Elements Of Mathematics written by Gabor Toth and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-23 with Mathematics categories.
This textbook offers a rigorous presentation of mathematics before the advent of calculus. Fundamental concepts in algebra, geometry, and number theory are developed from the foundations of set theory along an elementary, inquiry-driven path. Thought-provoking examples and challenging problems inspired by mathematical contests motivate the theory, while frequent historical asides reveal the story of how the ideas were originally developed. Beginning with a thorough treatment of the natural numbers via Peano’s axioms, the opening chapters focus on establishing the natural, integral, rational, and real number systems. Plane geometry is introduced via Birkhoff’s axioms of metric geometry, and chapters on polynomials traverse arithmetical operations, roots, and factoring multivariate expressions. An elementary classification of conics is given, followed by an in-depth study of rational expressions. Exponential, logarithmic, and trigonometric functions complete the picture, driven by inequalities that compare them with polynomial and rational functions. Axioms and limits underpin the treatment throughout, offering not only powerful tools, but insights into non-trivial connections between topics. Elements of Mathematics is ideal for students seeking a deep and engaging mathematical challenge based on elementary tools. Whether enhancing the early undergraduate curriculum for high achievers, or constructing a reflective senior capstone, instructors will find ample material for enquiring mathematics majors. No formal prerequisites are assumed beyond high school algebra, making the book ideal for mathematics circles and competition preparation. Readers who are more advanced in their mathematical studies will appreciate the interleaving of ideas and illuminating historical details.
Elements Of Algebra
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Author : Leonhard Euler
language : en
Publisher:
Release Date : 1810
Elements Of Algebra written by Leonhard Euler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1810 with Algebra categories.
The Elements Of Arithmetic
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Author : John Dozell
language : en
Publisher:
Release Date : 2017-04-23
The Elements Of Arithmetic written by John Dozell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-23 with categories.
The elements of arithmetic 55 pages
Elements Of Numerical Analysis
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Author : Radhey S. Gupta
language : en
Publisher: Cambridge University Press
Release Date : 2015-05-14
Elements Of Numerical Analysis written by Radhey S. Gupta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-14 with Mathematics categories.
This textbook provides detailed discussion on fundamental concepts and applications of numerical analysis.
Elements Of The History Of Mathematics
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Author : N. Bourbaki
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-11-18
Elements Of The History Of Mathematics written by N. Bourbaki 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 1998-11-18 with Mathematics categories.
Each volume of Nicolas Bourbakis well-known work, The Elements of Mathematics, contains a section or chapter devoted to the history of the subject. This book collects together those historical segments with an emphasis on the emergence, development, and interaction of the leading ideas of the mathematical theories presented in the Elements. In particular, the book provides a highly readable account of the evolution of algebra, geometry, infinitesimal calculus, and of the concepts of number and structure, from the Babylonian era through to the 20th century.
Elements Of Arithmetic
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Author : Augustus De Morgan
language : en
Publisher:
Release Date : 1851
Elements Of Arithmetic written by Augustus De Morgan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1851 with Algebra categories.
The Elements Of Arithmetic
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Author : John William Hopkins
language : en
Publisher: Forgotten Books
Release Date : 2016-08-23
The Elements Of Arithmetic written by John William Hopkins and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-23 with Mathematics categories.
Excerpt from The Elements of Arithmetic: In Theory and Practice Science in the hands of specialists soars higher and higher in the light of day, while educators and the edu osted are left more and more to wander in primeval darkness. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Philosophy Of Mathematics And Deductive Structure In Euclid S Elements
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Author : Ian Mueller
language : en
Publisher: Courier Dover Publications
Release Date : 2006
Philosophy Of Mathematics And Deductive Structure In Euclid S Elements written by Ian Mueller and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.