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Mathematics N1

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Mathematics N1

Mathematics N1 Book
Author : D. Duffield
Publisher : Pearson South Africa
Release : 2001
ISBN : 9780636045125
File Size : 34,7 Mb
Language : En, Es, Fr and De

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Book Summary :

Download Mathematics N1 book written by D. Duffield and published by Pearson South Africa with total hardcover pages 196 . Available in PDF, EPUB, and Kindle, read book directly with any devices anywhere and anytime.

Analysis Geometry Number Theory

Analysis  Geometry  Number Theory Book
Author : Leon Ehrenpreis
Publisher : American Mathematical Soc.
Release : 2000
ISBN : 0821811487
File Size : 27,8 Mb
Language : En, Es, Fr and De

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Book Summary :

This book presents the proceedings from a conference at Temple University celebrating the work of Leon Ehrenpreis, distinguished by its insistence upon getting to the heart of the mathematics and by its astonishing consistency in doing so successfully. Professor Ehrenpreis has worked in many areas of mathematics and has found connections among all of them. For example, we can find his analysis ideas in the context of number theory, geometric thinking within analysis, transcendental number theory tied to partial differential equations.The conference brought together the communities of mathematicians working in the areas of interest to Professor Ehrenpreis and allowed them to share the research inspired by his work. The collection of articles presents current research on PDE's, several complex variables, analytic number theory, integral geometry and tomography. The thinking of Professor Ehrenpreis has contributed fundamental concepts and techniques in these areas and has motivated a wealth of research results. This volume offers a survey of the fundamental principles that unified the conference and influenced the mathematics of Leon Ehrenpreis.

American Journal of Mathematics

American Journal of Mathematics Book
Author : Anonim
Publisher : Unknown
Release : 1914
ISBN : 0987650XXX
File Size : 41,7 Mb
Language : En, Es, Fr and De

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Book Summary :

Download American Journal of Mathematics book written by and published by with total hardcover pages 496 . Available in PDF, EPUB, and Kindle, read book directly with any devices anywhere and anytime.

Engineering Science N1

Engineering Science N1 Book
Author : Anonim
Publisher : Pearson South Africa
Release : 2000
ISBN : 9780636044470
File Size : 28,9 Mb
Language : En, Es, Fr and De

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Book Summary :

Download Engineering Science N1 book written by and published by Pearson South Africa with total hardcover pages 130 . Available in PDF, EPUB, and Kindle, read book directly with any devices anywhere and anytime.

The Mathematics of Harmony

The Mathematics of Harmony Book
Author : Alekse? Petrovich Stakhov,Scott Anthony Olsen
Publisher : World Scientific
Release : 2009
ISBN : 981277582X
File Size : 39,7 Mb
Language : En, Es, Fr and De

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Book Summary :

Assisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the ?Mathematics of Harmony,? a new interdisciplinary direction of modern science. This direction has its origins in ?The Elements? of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the ?golden? algebraic equations, the generalized Binet formulas, Fibonacci and ?golden? matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and ?golden? matrices).The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.

Ultrafilters Throughout Mathematics

Ultrafilters Throughout Mathematics Book
Author : Isaac Goldbring
Publisher : American Mathematical Society
Release : 2022-06-28
ISBN : 1470469618
File Size : 40,6 Mb
Language : En, Es, Fr and De

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Book Summary :

Ultrafilters and ultraproducts provide a useful generalization of the ordinary limit processes which have applications to many areas of mathematics. Typically, this topic is presented to students in specialized courses such as logic, functional analysis, or geometric group theory. In this book, the basic facts about ultrafilters and ultraproducts are presented to readers with no prior knowledge of the subject and then these techniques are applied to a wide variety of topics. The first part of the book deals solely with ultrafilters and presents applications to voting theory, combinatorics, and topology, while also dealing also with foundational issues. The second part presents the classical ultraproduct construction and provides applications to algebra, number theory, and nonstandard analysis. The third part discusses a metric generalization of the ultraproduct construction and gives example applications to geometric group theory and functional analysis. The final section returns to more advanced topics of a more foundational nature. The book should be of interest to undergraduates, graduate students, and researchers from all areas of mathematics interested in learning how ultrafilters and ultraproducts can be applied to their specialty.

Digital And The Real World The Computational Foundations Of Mathematics Science Technology And Philosophy

Digital And The Real World  The  Computational Foundations Of Mathematics  Science  Technology  And Philosophy Book
Author : Mainzer Klaus
Publisher : World Scientific
Release : 2017-11-17
ISBN : 9813225505
File Size : 35,5 Mb
Language : En, Es, Fr and De

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Book Summary :

In the 21st century, digitalization is a global challenge of mankind. Even for the public, it is obvious that our world is increasingly dominated by powerful algorithms and big data. But, how computable is our world? Some people believe that successful problem solving in science, technology, and economies only depends on fast algorithms and data mining. Chances and risks are often not understood, because the foundations of algorithms and information systems are not studied rigorously. Actually, they are deeply rooted in logics, mathematics, computer science and philosophy. Therefore, this book studies the foundations of mathematics, computer science, and philosophy, in order to guarantee security and reliability of the knowledge by constructive proofs, proof mining and program extraction. We start with the basics of computability theory, proof theory, and information theory. In a second step, we introduce new concepts of information and computing systems, in order to overcome the gap between the digital world of logical programming and the analog world of real computing in mathematics and science. The book also considers consequences for digital and analog physics, computational neuroscience, financial mathematics, and the Internet of Things (IoT). Contents: Introduction Basics of Computability Hierarchies of Computability Constructive Proof Theory Computational Mathematics and Digital Information Systems Intuitionistic Mathematics and Human Creativity Proof Mining bridging Logic, Mathematics, and Computer Science Reverse Mathematics Bridging Logic, Mathematics, and Computer Science From Intuitionistic to Homotopy Type Theory — Bridging Logic, Mathematics, and Computer Science Real Computability and Real Analysis Complexity Theory of Real Computing Real Computing and Neural Networks Complexity of Algorithmic Information Complexity of Information Dynamics Digital and Real Physics Digital and Real Computing in the Social World Philosophical Outlook Readership: Undergraduate and graduate students, scientists and readers who are interested in foundational, interdisciplinary, and philosophical questions of mathematics, computer science, and science in general. Keywords: Computability;Complexity;Constructive Mathematics;Proof Mining;Real Computing;Analog Networks;Information System;Digital PhysicsReview: Key Features: Compact introduction into the foundations of modern mathematics and computer science Bridging the gap between digital, real and analog computing by new concepts of information systems Consequences in natural and social sciences with respect to scientific computing

Engaging Young Children in Mathematics

Engaging Young Children in Mathematics Book
Author : Douglas H. Clements,Julie Sarama,Associate Edito DiBiase,Ann-Marie DiBiase
Publisher : Routledge
Release : 2003-10-17
ISBN : 1135635331
File Size : 40,6 Mb
Language : En, Es, Fr and De

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Book Summary :

This book consists of conclusions drawn from the expertise shared at the Conference on Standards for Prekindergarten and Kindergarten Mathematics Education. It offers substantive detail regarding young students' understandings of mathematical ideas.