Images of Mathematics Viewed Through Number, Algebra, and Geometry

Nonfiction, Reference & Language, Education & Teaching, Teaching, Teaching Methods
Cover of the book Images of Mathematics Viewed Through Number, Algebra, and Geometry by Robert G. Bill, Xlibris US
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Robert G. Bill ISBN: 9781493198306
Publisher: Xlibris US Publication: July 31, 2014
Imprint: Xlibris US Language: English
Author: Robert G. Bill
ISBN: 9781493198306
Publisher: Xlibris US
Publication: July 31, 2014
Imprint: Xlibris US
Language: English

Mathematics is often seen only as a tool for science, engineering, and other quantitative disciplines. Lost in the focus on the tools are the intricate interconnecting patterns of logic and ingenious methods of representation discovered over millennia which form the broader themes of the subject. This book, building from the basics of numbers, algebra, and geometry provides sufficient background to make these themes accessible to those not specializing in mathematics. The various topics are also covered within the historical context of their development and include such great innovators as Euclid, Descartes, Newton, Cauchy, Gauss, Lobachevsky, Riemann, Cantor, and Gdel, whose contributions would shape the directions that mathematics would take. The detailed explanations of all subject matter along with extensive references are provided with the goal of allowing readers an entre to a lifetime of the unique pleasures of mathematics. Topics include the axiomatic development of number systems and their algebraic rules, the role of infinity in the real and transfinite numbers, logic, and the axiomatic path from traditional to nonEuclidean geometries. The themes of algebra and geometry are then brought together through the concepts of analytic geometry and functions. With this background, more advanced topics are introduced: sequences, vectors, tensors, matrices, calculus, set theory, and topology. Drawing the common themes of this book together, the final chapter discusses the struggle over the meaning of mathematics in the twentieth century and provides a meditation on its success.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Mathematics is often seen only as a tool for science, engineering, and other quantitative disciplines. Lost in the focus on the tools are the intricate interconnecting patterns of logic and ingenious methods of representation discovered over millennia which form the broader themes of the subject. This book, building from the basics of numbers, algebra, and geometry provides sufficient background to make these themes accessible to those not specializing in mathematics. The various topics are also covered within the historical context of their development and include such great innovators as Euclid, Descartes, Newton, Cauchy, Gauss, Lobachevsky, Riemann, Cantor, and Gdel, whose contributions would shape the directions that mathematics would take. The detailed explanations of all subject matter along with extensive references are provided with the goal of allowing readers an entre to a lifetime of the unique pleasures of mathematics. Topics include the axiomatic development of number systems and their algebraic rules, the role of infinity in the real and transfinite numbers, logic, and the axiomatic path from traditional to nonEuclidean geometries. The themes of algebra and geometry are then brought together through the concepts of analytic geometry and functions. With this background, more advanced topics are introduced: sequences, vectors, tensors, matrices, calculus, set theory, and topology. Drawing the common themes of this book together, the final chapter discusses the struggle over the meaning of mathematics in the twentieth century and provides a meditation on its success.

More books from Xlibris US

Cover of the book Cancer Only Sucks on Days That End in ''Y'' by Robert G. Bill
Cover of the book The Land of Nod by Robert G. Bill
Cover of the book Many Lives, One Lifespan by Robert G. Bill
Cover of the book The Eden Roc by Robert G. Bill
Cover of the book Odyssey of an Assassin Vol I by Robert G. Bill
Cover of the book Life of a Farmer's Daughter by Robert G. Bill
Cover of the book Jesus Was My Father and Other Stories by Robert G. Bill
Cover of the book Human Nature: a New Theory of Psychology by Robert G. Bill
Cover of the book Jonathan's Journey by Robert G. Bill
Cover of the book Mister Broadway by Robert G. Bill
Cover of the book Church in the Wildwood by Robert G. Bill
Cover of the book Prince Jonathan by Robert G. Bill
Cover of the book Behind the Mask by Robert G. Bill
Cover of the book Madusoul’S Crossing by Robert G. Bill
Cover of the book Me and the Lord on the Bus by Robert G. Bill
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy