Elements Of Modern Mathematics

Author : Ian Stewart
Publisher : Courier Corporation
ISBN 13 : 0486134954
Total Pages : 368 pages
Book Rating : 4.56/5 ( download)

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Download or read book Concepts of Modern Mathematics written by Ian Stewart and published by Courier Corporation. This book was released on 2012-05-23 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Author : Kenneth O, May
Publisher : Dover Publications
ISBN 13 : 0486836576
Total Pages : 627 pages
Book Rating : 4.77/5 ( download)

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Download or read book Elements of Modern Mathematics written by Kenneth O, May and published by Dover Publications. This book was released on 2019-11-13 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: An unusually thoughtful and well-constructed introduction to the serious study of mathematics, this book requires no background beyond high school courses in plane geometry and elementary algebra. From that starting point, it is designed to lead readers willing to work through its exercises and problems to the achievement of basic mathematical literacy. The text provides a fundamental orientation in modern mathematics, an essential vocabulary of mathematical terms, and some facility in the use of mathematical concepts and symbols. From there, readers will be equipped to move on to more serious work, and they'll be well on the way to having the tools essential for work in the physical sciences, engineering, and the biological and social sciences. Starting with elementary treatments of algebra, logic, and set theory, the book advances to explorations of plane analytic geometry, relations and functions, numbers, and calculus. Subsequent chapters discuss probability, statistical inference, and abstract mathematical theories. Each section is enhanced with exercises in the text and problems at the end. Answers to the exercises and some of the problems are included at the end of each section.

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 : Nicolas Bourbaki
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.59/5 ( download)

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Download or read book Elements of Mathematics written by Nicolas Bourbaki and published by . This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Helena Rasiowa
Publisher : Elsevier
ISBN 13 : 1483274721
Total Pages : 352 pages
Book Rating : 4.20/5 ( download)

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Download or read book Introduction to Modern Mathematics written by Helena Rasiowa and published by Elsevier. This book was released on 2014-05-12 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Modern Mathematics focuses on the operations, principles, and methodologies involved in modern mathematics. The monograph first tackles the algebra of sets, natural numbers, and functions. Discussions focus on groups of transformations, composition of functions, an axiomatic approach to natural numbers, intersection of sets, axioms of the algebra of sets, fields of sets, prepositional functions of one variable, and difference of sets. The text then takes a look at generalized unions and intersections of sets, Cartesian products of sets, and equivalence relations. The book ponders on powers of sets, ordered sets, and linearly ordered sets. Topics include isomorphism of linearly ordered sets, dense linear ordering, maximal and minimal elements, quasi-ordering relations, inequalities for cardinal numbers, sets of the power of the continuum, and Cantor's theorem. The manuscript then examines elementary concepts of abstract algebras, functional calculus and its applications in mathematical proofs, and propositional calculus and its applications in mathematical proofs. The publication is a valuable reference for mathematicians and researchers interested in modern mathematics.

Author :
Publisher :
ISBN 13 :
Total Pages : 866 pages
Book Rating : 4.98/5 ( download)

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Download or read book Algebra written by and published by . This book was released on 1993 with total page 866 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 : J. J. Del Grande
Publisher : Gage Publishing Company
ISBN 13 : 9780771536342
Total Pages : 486 pages
Book Rating : 4.48/5 ( download)

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Download or read book Calculus : Elements of Modern Mathematics written by J. J. Del Grande and published by Gage Publishing Company. This book was released on 1979 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : N. Bourbaki
Publisher : Springer Science & Business Media
ISBN 13 : 3642616933
Total Pages : 299 pages
Book Rating : 4.38/5 ( download)

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Download or read book Elements of the History of Mathematics written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : John Joseph Del Grande
Publisher :
ISBN 13 : 9780771536380
Total Pages : 454 pages
Book Rating : 4.80/5 ( download)

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Download or read book Relations : Elements of Modern Mathematics written by John Joseph Del Grande and published by . This book was released on 1979 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: