Arithmetical Algebra

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Arithmetical algebra

Author : George Peacock
Publisher :
ISBN 13 :
Total Pages : 426 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Arithmetical algebra by : George Peacock

Download or read book Arithmetical algebra written by George Peacock and published by . This book was released on 1842 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peacock's mathematical work, although not extensive, is significant in the evolution of a concept of abstract algebra. In the textbook, A Treatise on Algebra, he attempted to put the theory of negative and complex numbers on a firm logical basis by dividing the field of algebra into arithmetical algebra and symbolic algebra. In the former the symbols represented positive integers; in the latter the domain of the symbols was extended by his principle of the permanence of equivalent forms. This principle asserts that rules in arithmetical algebra, which hold only when the values of the variables are restricted, remain valid when the restriction is removed. Although it was a step toward abstraction, Peacock's view was limited because he insisted that if the variables were properly chosen, any formula in symbolic algebra would yield a true formula in arithmetical algebra. Thus a noncommunicative algebra would not be possible.

A Treatise on Algebra: Arithmetical algebra

Author : George Peacock
Publisher :
ISBN 13 :
Total Pages : 426 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis A Treatise on Algebra: Arithmetical algebra by : George Peacock

Download or read book A Treatise on Algebra: Arithmetical algebra written by George Peacock and published by . This book was released on 1842 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Principles and Practice of Arithmetical Algebra ... Third Edition

Author : John HIND (M.A.)
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.0/5 (18 download)

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Book Synopsis The Principles and Practice of Arithmetical Algebra ... Third Edition by : John HIND (M.A.)

Download or read book The Principles and Practice of Arithmetical Algebra ... Third Edition written by John HIND (M.A.) and published by . This book was released on 1855 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Arithmetic

Author : Eric Temple Bell
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Algebraic Arithmetic by : Eric Temple Bell

Download or read book Algebraic Arithmetic written by Eric Temple Bell and published by . This book was released on 1927 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central topic of this book is the presentation of the author's principle of arithmetical paraphrases, which won him the Bôcher Prize in 1924. This general principle served to unify and extend many isolated results in the theory of numbers. The author successfully provides a systematic attempt to find a unified theory for each of various classes of related important problems in the theory of numbers, including its interrelations with algebra and analysis. This book will be of interest to advanced students in various branches of mathematics, including number theory, abstract algebra, elliptic and theta functions, Bernoulli numbers and functions, and the foundations of mathematics.

Pascal's Arithmetical Triangle

Author : A.W.F. Edwards
Publisher : Courier Dover Publications
ISBN 13 : 048684076X
Total Pages : 227 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Pascal's Arithmetical Triangle by : A.W.F. Edwards

Download or read book Pascal's Arithmetical Triangle written by A.W.F. Edwards and published by Courier Dover Publications. This book was released on 2019-06-12 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey explores the history of the arithmetical triangle, from its roots in Pythagorean arithmetic, Hindu combinatorics, and Arabic algebra to its influence on Newton and Leibniz as well as modern-day mathematicians.

The rationale of arithmetical teaching exemplified

Author : John Blain
Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.R/5 (5 download)

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Book Synopsis The rationale of arithmetical teaching exemplified by : John Blain

Download or read book The rationale of arithmetical teaching exemplified written by John Blain and published by . This book was released on 1857 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Examples in Arithmetic and Algebra

Author :
Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Examples in Arithmetic and Algebra by :

Download or read book Examples in Arithmetic and Algebra written by and published by . This book was released on 1834 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Towards an Arithmetical Logic

Author : Yvon Gauthier
Publisher : Birkhäuser
ISBN 13 : 331922087X
Total Pages : 193 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Towards an Arithmetical Logic by : Yvon Gauthier

Download or read book Towards an Arithmetical Logic written by Yvon Gauthier and published by Birkhäuser. This book was released on 2015-09-24 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an original contribution to the foundations of logic and mathematics and focuses on the internal logic of mathematical theories, from arithmetic or number theory to algebraic geometry. Arithmetical logic is the term used to refer to the internal logic of classical arithmetic, here called Fermat-Kronecker arithmetic and combines Fermat’s method of infinite descent with Kronecker’s general arithmetic of homogeneous polynomials. The book also includes a treatment of theories in physics and mathematical physics to underscore the role of arithmetic from a constructivist viewpoint. The scope of the work intertwines historical, mathematical, logical and philosophical dimensions in a unified critical perspective; as such, it will appeal to a broad readership from mathematicians to logicians, to philosophers interested in foundational questions. Researchers and graduate students in the fields of philosophy and mathematics will benefit from the author’s critical approach to the foundations of logic and mathematics.

School Science and Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis School Science and Mathematics by :

Download or read book School Science and Mathematics written by and published by . This book was released on 1921 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Natural Kinds and Classification in Scientific Practice

Author : Catherine Kendig
Publisher : Routledge
ISBN 13 : 1317215435
Total Pages : 268 pages
Book Rating : 4.3/5 (172 download)

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Book Synopsis Natural Kinds and Classification in Scientific Practice by : Catherine Kendig

Download or read book Natural Kinds and Classification in Scientific Practice written by Catherine Kendig and published by Routledge. This book was released on 2015-12-22 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume of 13 new essays aims to turn past discussions of natural kinds on their head. Instead of presenting a metaphysical view of kinds based largely on an unempirical vantage point, it pursues questions of kindedness which take the use of kinds and activities of kinding in practice as significant in the articulation of them as kinds. The book brings philosophical study of current and historical episodes and case studies from various scientific disciplines to bear on natural kinds as traditionally conceived of within metaphysics. Focusing on these practices reveals the different knowledge-producing activities of kinding and processes involved in natural kind use, generation, and discovery. Specialists in their field, the esteemed group of contributors use diverse empirically responsive approaches to explore the nature of kindhood. This groundbreaking volume presents detailed case studies that exemplify kinding in use. Newly written for this volume, each chapter engages with the activities of kinding across a variety of disciplines. Chapter topics include the nature of kinds, kindhood, kinding, and kind-making in linguistics, chemical classification, neuroscience, gene and protein classification, colour theory in applied mathematics, homology in comparative biology, sex and gender identity theory, memory research, race, extended cognition, symbolic algebra, cartography, and geographic information science. The volume seeks to open up an as-yet unexplored area within the emerging field of philosophy of science in practice, and constitutes a valuable addition to the disciplines of philosophy and history of science, technology, engineering, and mathematics.

The Rationale of Arithmetical Teaching, Exemplified in a Full Exposition of the Principles of Numeration and the Four Elementary Rules, Etc

Download The Rationale of Arithmetical Teaching, Exemplified in a Full Exposition of the Principles of Numeration and the Four Elementary Rules, Etc PDF Online Free

Author : John BLAIN
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.0/5 (18 download)

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Book Synopsis The Rationale of Arithmetical Teaching, Exemplified in a Full Exposition of the Principles of Numeration and the Four Elementary Rules, Etc by : John BLAIN

Download or read book The Rationale of Arithmetical Teaching, Exemplified in a Full Exposition of the Principles of Numeration and the Four Elementary Rules, Etc written by John BLAIN and published by . This book was released on 1857 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the American Association for the Advancement of Science

Author : American Association for the Advancement of Science
Publisher :
ISBN 13 :
Total Pages : 648 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Proceedings of the American Association for the Advancement of Science by : American Association for the Advancement of Science

Download or read book Proceedings of the American Association for the Advancement of Science written by American Association for the Advancement of Science and published by . This book was released on 1899 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings

Author : American Association for the Advancement of Science
Publisher :
ISBN 13 :
Total Pages : 646 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings by : American Association for the Advancement of Science

Download or read book Proceedings written by American Association for the Advancement of Science and published by . This book was released on 1899 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Oxford Handbook of Philosophy of Mathematics and Logic

Author : Stewart Shapiro
Publisher : Oxford University Press
ISBN 13 : 0190287535
Total Pages : 856 pages
Book Rating : 4.1/5 (92 download)

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Book Synopsis The Oxford Handbook of Philosophy of Mathematics and Logic by : Stewart Shapiro

Download or read book The Oxford Handbook of Philosophy of Mathematics and Logic written by Stewart Shapiro and published by Oxford University Press. This book was released on 2005-02-10 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these topics in the best mainstream philosophical journals; in fact, the last decade has seen an explosion of scholarly work in these areas. This volume covers these disciplines in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 contributed chapters are by established experts in the field, and their articles contain both exposition and criticism as well as substantial development of their own positions. The essays, which are substantially self-contained, serve both to introduce the reader to the subject and to engage in it at its frontiers. Certain major positions are represented by two chapters--one supportive and one critical. The Oxford Handbook of Philosophy of Math and Logic is a ground-breaking reference like no other in its field. It is a central resource to those wishing to learn about the philosophy of mathematics and the philosophy of logic, or some aspect thereof, and to those who actively engage in the discipline, from advanced undergraduates to professional philosophers, mathematicians, and historians.

Higher Algebra

Author : Henry Sinclair Hall
Publisher :
ISBN 13 :
Total Pages : 606 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Higher Algebra by : Henry Sinclair Hall

Download or read book Higher Algebra written by Henry Sinclair Hall and published by . This book was released on 1891 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Higher Algebra

Author : Hall
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Higher Algebra by : Hall

Download or read book Higher Algebra written by Hall and published by . This book was released on 1889 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Writings

Author : Duncan Farquharson Gregory (M.A.)
Publisher :
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.V/5 ( download)

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Book Synopsis Mathematical Writings by : Duncan Farquharson Gregory (M.A.)

Download or read book Mathematical Writings written by Duncan Farquharson Gregory (M.A.) and published by . This book was released on 1865 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: