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Thomas Muir, "A Treatise on the Theory of Determinants"

One of the few comprehensive single-volume treatments of determinants, this compilation features nearly all of the known facts about determinants up to the early 1930s. The text explores permutations and combinations; general principles of simple determinants; compound determinants; co-factors; adjugates; rectangular arrays and matrices; linear dependence; more. Includes 485 problems, plus numerous examples. 1933 edition.

Contents

Chapter I.

Section I. Permutations 1

Section II. Combinations 7

Chapter II. Definitions and Notations 13

Chapter III. General Properties 23

Chapter IV. Minors and Expansions 53

Chapter V. Multiplication 138

Chapter VI. Compound Determinants 165

Chapter VII. Rectangular Arrays 213

Chapter VIII. Elimination 258

Chapter IX. Bipartites 295

Chapter X. Aggregates 313

Chapter XI. Alternants 321

Chapter XII. Symmetric Determinants 364

Section I. Centrosymmetric 364

Skew-Centrosymmetric 368

Section II. Axisymmetric 368

Zero-Axial Skew 392

Skew 410

Persymmetric 419

Circulants 442

Block Circulants 485

Section III. Aggregates 494

Chapter XIII. Continuants 516

Chapter XIV. Orthogonants 566

Chapter XV. Determinantal Equations 603

Chapter XVI. Jacobians 635

Chapter XVII. Hessians 654

Chapter XVIII.Wronskians 662

Chapter XIX. Bordered Determinants 673

Chapter XX. Determinants whose elements are combinatory numbers 679

Chapter XXI. Recurrents 700

Chapter XXII. Invariant Factors 734

Chapter XXIII.Multilineants 742

Chapter XXIV. Determinants of Higher Class 745

Chapter XXV. Less common Forms 757

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	The theory of determinants in the historical order of development, by Sir Thomas Muir.Vol. 2 Michigan Historical Reprint Series, "The theory of determinants in the historical order of development, by Sir Thomas Muir.Vol. 2"Publisher: Scholarly Publishing Office, University of Michigan Library \| Pages: 512 \| ISBN: 1418184845 \| DjVu ...
	The theory of determinants in the historical order of development, by Sir Thomas Muir.Vol. 1 Michigan Historical Reprint Series, "The theory of determinants in the historical order of development, by Sir Thomas Muir.Vol. 1"Publisher: Scholarly Publishing Office, University of Michigan Library \| Pages: 512 \| ISBN: 1418184845 \| DjVu ...
	A Treatise on the Theory of Bessel Functions G. N. Watson "A Treatise on the Theory of Bessel Functions" Cambridge University Press \| 1995-08-25 \| ISBN: 0521483913 \| 812 pages \| Djvu \| 13 MB The late Professor G.N. Watson wrote his monumental treatise on the theory of Bessel funct ...
	Index Theory, Determinants and Torsion for Open Manifolds Jurgen Eichhorn, "Index Theory, Determinants and Torsion for Open Manifolds" World Scientific Publishing Company \| 2009 \| ISBN: 9812771441 \| 352 pages \| PDF \| 23,6 MB For closed manifolds, there is a highly elaborated theory of number-val ...
	A Treatise On the Theory of Functions James Harkness, Frank Morley, "A Treatise On the Theory of Functions" Nabu Press \| 2010 (1893) \| ISBN: 1144722683 \| 524 pages \| PDF \| 13,2 MB IN this book we have sought to give an account of a department of mathematics which is now gen ...
	Mathematics Traces and Determinants of Linear Operators (Operator Theory: Advances and Applications) Author: Nahum Krupnik, Seymour Goldberg, Israel GohbergPublisher: Birkh?user Basel (2000)Binding: Hardcover, 272 pagespricer: $176.00ISBN-10: 3764361778editorialreviewsThis book is dedicated to a theory of traces and determinants on embedde ...

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	The theory of determinants in the historical order of development, by Sir Thomas Muir.Vol. 2 Michigan Historical Reprint Series, "The theory of determinants in the historical order of development, by Sir Thomas Muir.Vol. 2"Publisher: Scholarly Publishing Office, University of Michigan Library \| Pages: 512 \| ISBN: 1418184845 \| DjVu ...
	The theory of determinants in the historical order of development, by Sir Thomas Muir.Vol. 1 Michigan Historical Reprint Series, "The theory of determinants in the historical order of development, by Sir Thomas Muir.Vol. 1"Publisher: Scholarly Publishing Office, University of Michigan Library \| Pages: 512 \| ISBN: 1418184845 \| DjVu ...
	A Treatise on the Theory of Bessel Functions G. N. Watson "A Treatise on the Theory of Bessel Functions" Cambridge University Press \| 1995-08-25 \| ISBN: 0521483913 \| 812 pages \| Djvu \| 13 MB The late Professor G.N. Watson wrote his monumental treatise on the theory of Bessel funct ...
	Index Theory, Determinants and Torsion for Open Manifolds Jurgen Eichhorn, "Index Theory, Determinants and Torsion for Open Manifolds" World Scientific Publishing Company \| 2009 \| ISBN: 9812771441 \| 352 pages \| PDF \| 23,6 MB For closed manifolds, there is a highly elaborated theory of number-val ...
	A Treatise On the Theory of Functions James Harkness, Frank Morley, "A Treatise On the Theory of Functions" Nabu Press \| 2010 (1893) \| ISBN: 1144722683 \| 524 pages \| PDF \| 13,2 MB IN this book we have sought to give an account of a department of mathematics which is now gen ...
	Mathematics Traces and Determinants of Linear Operators (Operator Theory: Advances and Applications) Author: Nahum Krupnik, Seymour Goldberg, Israel GohbergPublisher: Birkh?user Basel (2000)Binding: Hardcover, 272 pagespricer: $176.00ISBN-10: 3764361778editorialreviewsThis book is dedicated to a theory of traces and determinants on embedde ...

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