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Author : Augustus De Morgan
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.F/5 ( download)
Download or read book The Elements of Arithmetic written by Augustus De Morgan and published by . This book was released on 1854 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Stillwell
Publisher : Princeton University Press
ISBN 13 : 0691178542
Total Pages : 440 pages
Book Rating : 4.6/5 (911 download)
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 : Gabor Toth
Publisher : Springer Nature
ISBN 13 : 3030750515
Total Pages : 534 pages
Book Rating : 4.0/5 (37 download)
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 : Euclid
Publisher :
ISBN 13 : 9781420956474
Total Pages : 404 pages
Book Rating : 4.9/5 (564 download)
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 :
Total Pages : 244 pages
Book Rating : 4.A/5 ( download)
Download or read book Elements of Arithmetic written by Augustus De Morgan and published by . This book was released on 1869 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Archimedes
Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Works of Archimedes written by Archimedes and published by . This book was released on 1897 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : AUGUSTUS DE. MORGAN
Publisher :
ISBN 13 : 9781033521649
Total Pages : 0 pages
Book Rating : 4.5/5 (216 download)
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 : Leonhard Euler
Publisher :
ISBN 13 :
Total Pages : 960 pages
Book Rating : 4.:/5 (318 download)
Download or read book Elements of Algebra written by Leonhard Euler and published by . This book was released on 1810 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Stillwell
Publisher : Springer Science & Business Media
ISBN 13 : 0387217355
Total Pages : 266 pages
Book Rating : 4.3/5 (872 download)
Download or read book Elements of Number Theory written by John Stillwell and published by Springer Science & Business Media. This book was released on 2012-11-12 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.
Author : Herbert B. Enderton
Publisher : Academic Press
ISBN 13 : 0080570429
Total Pages : 279 pages
Book Rating : 4.0/5 (85 download)
Download or read book Elements of Set Theory written by Herbert B. Enderton and published by Academic Press. This book was released on 1977-05-23 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.
Author : Richard Mosley
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.R/5 (5 download)
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 : Ian Mueller
Publisher : Courier Corporation
ISBN 13 : 0486150879
Total Pages : 0 pages
Book Rating : 4.4/5 (861 download)
Download or read book Philosophy of Mathematics and Deductive Structure in Euclid's Elements written by Ian Mueller and published by Courier Corporation. This book was released on 2013-01-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics. It offers a well-rounded perspective, examining similarities to modern views as well as differences. Rather than focusing strictly on historical and mathematical issues, the book examines philosophical, foundational, and logical questions. Although comprehensive in its treatment, this study represents a less cumbersome, more streamlined approach than the classic three-volume reference by Sir Thomas L. Heath (also available from Dover Publications). To make reading easier and to facilitate access to individual analyses and discussions, the author has included helpful appendixes. These list special symbols and additional propositions, along with all of the assumptions and propositions of the Elements and notations of their discussion within this volume.
Author : Charles Davies
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.0/5 (18 download)
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 : Augustus De Morgan
Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.:/5 (11 download)
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:
Author : William SCOTT (Professor of Mathematics at Sandhurst.)
Publisher :
ISBN 13 :
Total Pages : 550 pages
Book Rating : 4.0/5 (25 download)
Download or read book Elements of Arithmetic and Algebra. For the Use of the Royal Military College ... Second Edition written by William SCOTT (Professor of Mathematics at Sandhurst.) and published by . This book was released on 1850 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anson Hardin Bigelow
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.F/5 ( download)
Download or read book Elements of Business Arithmetic written by Anson Hardin Bigelow and published by . This book was released on 1911 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Augustus De Morgan
Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.:/5 (28 download)
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:
