An Introduction to the Algebra of Quantics by E. B. Elliott
About this book :-
The book is an introduction to the algebraic theory of quantics, which is the study of polynomial equations with multiple variables. The book covers topics such as the fundamental theorem of algebra, symmetric functions, and the theory of invariants. It also includes discussions on the theory of elimination, the theory of resultants, and the theory of discriminants.
The primary object of this book is that of explaining with all the clearness at my command the leading principles of invariant algebra, in the hope of making it evident to the junior student that the subject is attractive as well as important, and that its early difficulties are only such as he can readily surmount.
The book is written in a clear and concise manner with numerous examples and exercises to aid in understanding the material. It is aimed at students and researchers of mathematics who are interested in the algebraic theory of quantics. Overall, An Introduction To The Algebra Of Quantics is a valuable resource for anyone looking to gain a deeper understanding of this important area of mathematics. This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations.
Book Detail :-
Title:
An Introduction to the Algebra of Quantics by E. B. Elliott
Publisher:
The Clarendon Press
Year:
1913
Pages:
444
Type:
PDF
Language:
English
ISBN-10 #:
B005GE94HU
ISBN-13 #:
N\A
License:
Public Domain Work
Amazon:
Amazon
About Author :-
The author
Edwin Bailey Elliott
(1851 -1937) was an English mathematician and Professor of Pure Mathematics, and fellow of Magdalex College, Oxford. His work included algebra, algebraic geometry, synthetic geometry, elliptic functions and invariant theory. In 1892 he was appointed Waynflete Professor of Pure Mathematics at Oxford. He was elected a fellow of the Royal Society in 1891. He wrote the book "An introduction to the algebra of quantics", on invariant theory (Elliott 1913). After outstanding achievements at university, Elliott became a Fellow and Mathematical Tutor of Queen's College, Oxford, in 1874. In addition to his Fellowship at Queens College, Elliott was appointed a lecturer in mathematics at Corpus Christi College in Oxford in 1884. These appointments came to an end in 1892 when Elliott became the first Waynflete professor of Pure Mathematics.
Book Contents :-
1. PRINCIPLES AND DIRECT METHODS
2. ESSENTIAL QUALITIES OF INVARIANTS
3. ESSENTIAL QUALITIES OF COVARIANTS
4. C'OGREDIENT AND CONTRAGREDIENT QUANTITIES
5. BINARY QUANTICS. INVARIANTS, ETC., AS FUNCTIONS OF DIFFERENCES
6. BINARY QUANTICS CONTINUED. ANNIHILATORS. SEMINVARIANTS Determination of seminvariants (113, 114)
7. FURTHER THEORY OF THE OPERATORS Q AND 0. RECIPROCITY
8. GENERATING FUNCTIONS
9. HILBERT'S PROOFS OF GORDAN'S THEOREM
10. PROTOMORPHS, ETC.
11. FURTHER THEORY OF SEMINVARIANTS. THE BINARY QUANTIC OF INFINITE ORDER
12. CANONICAL FORMS, ETC.
13. INVARIANTS AND COVARIANTS OP THE BINARY QUINTIC AND SEXTIC
14. SEVERAL BINARY QUANTICS
15. RESTRICTED SUBSTITUTIONS. BINARY QUANTICS IN CARTESIAN GEOMETRY
16. TERNARY QUANTICS. THE QUADRATIC AND CUBIC
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