Elements Of Arithmetic

Author : John Stillwell
Publisher : Princeton University Press
ISBN 13 : 0691178542
Total Pages : 440 pages
Book Rating : 4.47/5 ( download)

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Download or read book Elements of Mathematics written by John Stillwell and published by Princeton University Press. This book was released on 2017-11-07 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Augustus De Morgan
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.17/5 ( download)

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Download or read book The Elements of Arithmetic written by Augustus De Morgan and published by . This book was released on 1846 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Augustus De Morgan
Publisher :
ISBN 13 :
Total Pages : 250 pages
Book Rating : 4.13/5 ( download)

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Download or read book Elements of Arithmetic written by Augustus De Morgan and published by . This book was released on 1858 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Euclid
Publisher :
ISBN 13 : 9781420956474
Total Pages : 404 pages
Book Rating : 4.77/5 ( download)

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Download or read book Euclid's Elements (the Thirteen Books) written by Euclid and published by . This book was released on 2017-12-17 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid was a mathematician from the Greek city of Alexandria who lived during the 4th and 3rd century B.C. and is often referred to as the "father of geometry." Within his foundational treatise "Elements," Euclid presents the results of earlier mathematicians and includes many of his own theories in a systematic, concise book that utilized a brief set of axioms and meticulous proofs to solidify his deductions. In addition to its easily referenced geometry, "Elements" also includes number theory and other mathematical considerations. For centuries, this work was a primary textbook of mathematics, containing the only framework for geometry known by mathematicians until the development of "non-Euclidian" geometry in the late 19th century. The extent to which Euclid's "Elements" is of his own original authorship or borrowed from previous scholars is unknown, however despite this fact it was his collation of these basic mathematical principles for which most of the world would come to the study of geometry. Today, Euclid's "Elements" is acknowledged as one of the most influential mathematical texts in history. This volume includes all thirteen books of Euclid's "Elements," is printed on premium acid-free paper, and follows the translation of Thomas Heath.

Author : AUGUSTUS DE. MORGAN
Publisher :
ISBN 13 : 9781033521649
Total Pages : 0 pages
Book Rating : 4.47/5 ( download)

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Download or read book ELEMENTS OF ARITHMETIC written by AUGUSTUS DE. MORGAN and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Gabor Toth
Publisher : Springer Nature
ISBN 13 : 3030750515
Total Pages : 534 pages
Book Rating : 4.10/5 ( download)

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Download or read book Elements of Mathematics written by Gabor Toth and published by Springer Nature. This book was released on 2021-09-23 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Charles Davies
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.72/5 ( download)

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Download or read book Elements of Written Arithmetic written by Charles Davies and published by . This book was released on 1863 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Richard Mosley
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.15/5 ( download)

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Download or read book Elements of arithmetic, with numerous examples written by Richard Mosley and published by . This book was released on 1836 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Augustus De Morgan
Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.50/5 ( download)

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Download or read book Elements of Arithmetic written by Augustus De Morgan and published by . This book was released on 1853 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Augustus De Morgan
Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.34/5 ( download)

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Download or read book Elements of Arithmetic written by Augustus De Morgan and published by . This book was released on 1851 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: