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| Author | : Ian Stewart |
| Publisher | : Courier Corporation |
| Total Pages | : 368 |
| Release | : 2012-05-23 |
| Genre | : Mathematics |
| ISBN | : 0486134954 |
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 |
| Total Pages | : 627 |
| Release | : 2019-11-13 |
| Genre | : Mathematics |
| ISBN | : 0486836576 |
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 | : Nicolas Bourbaki |
| Publisher | : |
| Total Pages | : |
| Release | : 1966 |
| Genre | : |
| ISBN | : |
| Author | : John Stillwell |
| Publisher | : Princeton University Press |
| Total Pages | : 440 |
| Release | : 2017-11-07 |
| Genre | : Mathematics |
| ISBN | : 0691178542 |
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 | : J. J. Del Grande |
| Publisher | : Gage Publishing Company |
| Total Pages | : 486 |
| Release | : 1979 |
| Genre | : Calculus |
| ISBN | : 9780771536342 |
| Author | : Euclid |
| Publisher | : |
| Total Pages | : 404 |
| Release | : 2017-12-17 |
| Genre | : Mathematics |
| ISBN | : 9781420956474 |
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 | : |
| Publisher | : |
| Total Pages | : 866 |
| Release | : 1993 |
| Genre | : Algebra |
| ISBN | : |
| Author | : N. Bourbaki |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 299 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 3642616933 |
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 | : Helena Rasiowa |
| Publisher | : Elsevier |
| Total Pages | : 352 |
| Release | : 2014-05-12 |
| Genre | : Mathematics |
| ISBN | : 1483274721 |
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 | : John Joseph Del Grande |
| Publisher | : |
| Total Pages | : 454 |
| Release | : 1979 |
| Genre | : Conic sections |
| ISBN | : 9780771536380 |
