Share

New Foundations in Mathematics

2012-10-26 Mathematics
Download New Foundations in Mathematics PDF Online Free

Author :
Release : 2012-10-26
Genre : Mathematics
Kind : eBook
Book Rating : 852/5 ( reviews)

GET EBOOK


Book Synopsis New Foundations in Mathematics by : Garret Sobczyk

Download or read book New Foundations in Mathematics written by Garret Sobczyk. This book was released on 2012-10-26. Available in PDF, EPUB and Kindle. Book excerpt: The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics.

New Foundations for Physical Geometry

2014-02 Mathematics
Download New Foundations for Physical Geometry PDF Online Free

Author :
Release : 2014-02
Genre : Mathematics
Kind : eBook
Book Rating : 306/5 ( reviews)

GET EBOOK


Book Synopsis New Foundations for Physical Geometry by : Tim Maudlin

Download or read book New Foundations for Physical Geometry written by Tim Maudlin. This book was released on 2014-02. Available in PDF, EPUB and Kindle. Book excerpt: Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.

New Foundations for Classical Mechanics

2012-12-06 Science
Download New Foundations for Classical Mechanics PDF Online Free

Author :
Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 026/5 ( reviews)

GET EBOOK


Book Synopsis New Foundations for Classical Mechanics by : D. Hestenes

Download or read book New Foundations for Classical Mechanics written by D. Hestenes. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applica tions matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.

Conceptions of Set and the Foundations of Mathematics

2020-01-23 History
Download Conceptions of Set and the Foundations of Mathematics PDF Online Free

Author :
Release : 2020-01-23
Genre : History
Kind : eBook
Book Rating : 829/5 ( reviews)

GET EBOOK


Book Synopsis Conceptions of Set and the Foundations of Mathematics by : Luca Incurvati

Download or read book Conceptions of Set and the Foundations of Mathematics written by Luca Incurvati. This book was released on 2020-01-23. Available in PDF, EPUB and Kindle. Book excerpt: Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.

New Foundations in Mathematics

2012-10-28 Mathematics
Download New Foundations in Mathematics PDF Online Free

Author :
Release : 2012-10-28
Genre : Mathematics
Kind : eBook
Book Rating : 844/5 ( reviews)

GET EBOOK


Book Synopsis New Foundations in Mathematics by : Garret Sobczyk

Download or read book New Foundations in Mathematics written by Garret Sobczyk. This book was released on 2012-10-28. Available in PDF, EPUB and Kindle. Book excerpt: The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics.

You may also like...