Number Systems and the Foundations of Analysis

Number Systems and the Foundations of Analysis PDF Author: Elliott Mendelson
Publisher: Dover Books on Mathematics
ISBN: 9780486457925
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Geared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Numerous exercises and appendixes supplement the text. 1973 edition.

Number Systems and the Foundations of Analysis

Number Systems and the Foundations of Analysis PDF Author: Elliott Mendelson
Publisher: Dover Books on Mathematics
ISBN: 9780486457925
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Geared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Numerous exercises and appendixes supplement the text. 1973 edition.

New Foundations in Mathematics

New Foundations in Mathematics PDF Author: Garret Sobczyk
Publisher: Springer Science & Business Media
ISBN: 0817683852
Category : Mathematics
Languages : en
Pages : 373

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Book Description
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.

Foundations of Real Numbers

Foundations of Real Numbers PDF Author: Claude W. Burrill
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 182

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Book Description


Homotopy Type Theory: Univalent Foundations of Mathematics

Homotopy Type Theory: Univalent Foundations of Mathematics PDF Author:
Publisher: Univalent Foundations
ISBN:
Category :
Languages : en
Pages : 484

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Book Description


Foundations Phonics

Foundations Phonics PDF Author: Carrie Lindquist
Publisher: New Leaf Publishing Group
ISBN: 0890519439
Category : Education
Languages : en
Pages : 31

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Book Description
An easy and fun approach to teaching your child to read A stand-alone phonics & reading program, flexible for use in either kindergarten or first gradeA workbook filled with lessons, instructions, and suggested hands-on activities for a full semester of studySuggested hands-on activities will utilize materials typically found in the kitchen or playroom (e.g., crayons, markers, flour, rice, play-dough) This unique curriculum will take your student on a journey from the beginning of creation to the Resurrection of Christ as they learn each letter and corresponding sound. Designed to meet the needs of students who are ready to begin writing, as well as those who may not have mastered the hand-eye coordination skills yet that are needed for writing.

Space, Time and Number in the Brain

Space, Time and Number in the Brain PDF Author: Elizabeth Brannon
Publisher: Academic Press
ISBN: 0123859484
Category : Mathematics
Languages : en
Pages : 375

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Book Description
The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields

Categorical Foundations

Categorical Foundations PDF Author: Maria Cristina Pedicchio
Publisher: Cambridge University Press
ISBN: 9780521834148
Category : Mathematics
Languages : en
Pages : 452

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Book Description
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Foundations of Analysis

Foundations of Analysis PDF Author: Edmund Landau
Publisher:
ISBN: 9781950217083
Category :
Languages : en
Pages : 142

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Book Description
Natural numbers, zero, negative integers, rational numbers, irrational numbers, real numbers, complex numbers, . . ., and, what are numbers? The most accurate mathematical answer to the question is given in this book.

Supporting Early Numeracy

Supporting Early Numeracy PDF Author: British Columbia. Ministry of Education
Publisher: British Columbia, Ministry of Education
ISBN: 9780772651341
Category : Arithmetic
Languages : en
Pages : 155

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Book Description


Foundations of Ergodic Theory

Foundations of Ergodic Theory PDF Author: Marcelo Viana
Publisher: Cambridge University Press
ISBN: 1316445429
Category : Mathematics
Languages : en
Pages : 547

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Book Description
Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The authors' clear and fluent exposition helps the reader to grasp quickly the most important ideas of the theory, and their use of concrete examples illustrates these ideas and puts the results into perspective. The book requires few prerequisites, with background material supplied in the appendix. The first four chapters cover elementary material suitable for undergraduate students – invariance, recurrence and ergodicity – as well as some of the main examples. The authors then gradually build up to more sophisticated topics, including correlations, equivalent systems, entropy, the variational principle and thermodynamical formalism. The 400 exercises increase in difficulty through the text and test the reader's understanding of the whole theory. Hints and solutions are provided at the end of the book.