Scalar, Vector, and Matrix Mathematics : (Record no. 81392)
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000 -LEADER | |
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fixed length control field | 07518cam a2200793Mi 4500 |
001 - CONTROL NUMBER | |
control field | on1023540775 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OCoLC |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20220908100134.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
fixed length control field | m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr |n|---||||| |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 180217s2018 nju ob 001 0 eng d |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | EBLCP |
Language of cataloging | eng |
Description conventions | pn |
Transcribing agency | EBLCP |
Modifying agency | YDX |
-- | STF |
-- | OCLCQ |
-- | JSTOR |
-- | N$T |
-- | OCLCQ |
-- | IEEEE |
-- | OCLCO |
019 ## - | |
-- | 1027151710 |
-- | 1029577895 |
-- | 1043780149 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 1400888255 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9781400888252 |
Qualifying information | (electronic bk.) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 9780691151205 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 0691151202 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 9780691176536 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 0691176531 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | AU@ |
System control number | 000065067864 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | GBVCP |
System control number | 1014878578 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (OCoLC)1023540775 |
Canceled/invalid control number | (OCoLC)1027151710 |
-- | (OCoLC)1029577895 |
-- | (OCoLC)1043780149 |
037 ## - SOURCE OF ACQUISITION | |
Stock number | 22573/ctvc66v4x |
Source of stock number/acquisition | JSTOR |
037 ## - SOURCE OF ACQUISITION | |
Stock number | 9452589 |
Source of stock number/acquisition | IEEE |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA188 |
Item number | .B475 2018 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT |
Subject category code subdivision | 019000 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT |
Subject category code subdivision | 033000 |
Source | bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512.9/434 |
Edition number | 23 |
049 ## - LOCAL HOLDINGS (OCLC) | |
Holding library | MAIN |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Bernstein, Dennis S. |
9 (RLIN) | 65035 |
245 10 - TITLE STATEMENT | |
Title | Scalar, Vector, and Matrix Mathematics : |
Remainder of title | Theory, Facts, and Formulas. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Place of publication, distribution, etc. | Princeton : |
Name of publisher, distributor, etc. | Princeton University Press, |
Date of publication, distribution, etc. | 2018. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (1594 pages) |
336 ## - CONTENT TYPE | |
Content type term | text |
Content type code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media type term | computer |
Media type code | c |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier type term | online resource |
Carrier type code | cr |
Source | rdacarrier |
588 0# - SOURCE OF DESCRIPTION NOTE | |
Source of description note | Print version record. |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Cover; Title Page; Copyright Page; Dedication; Contents; Preface to the Revised and Expanded Edition; Preface to the Second Edition; Preface to the First Edition; Special Symbols; Conventions, Notation, and Terminology; 1. Sets, Logic, Numbers, Relations, Orderings, Graphs, and Functions; 1.1 Sets; 1.2 Logic; 1.3 Relations and Orderings; 1.4 Directed and Symmetric Graphs; 1.5 Numbers; 1.6 Functions and Their Inverses; 1.7 Facts on Logic; 1.8 Facts on Sets; 1.9 Facts on Graphs; 1.10 Facts on Functions; 1.11 Facts on Integers; 1.12 Facts on Finite Sums; 1.13 Facts on Factorials. |
505 8# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 1.14 Facts on Finite Products1.15 Facts on Numbers; 1.16 Facts on Binomial Coefficients; 1.17 Facts on Fibonacci, Lucas, and Pell Numbers; 1.18 Facts on Arrangement, Derangement, and Catalan Numbers; 1.19 Facts on Cycle, Subset, Eulerian, Bell, and Ordered Bell Numbers; 1.20 Facts on Partition Numbers, the Totient Function, and Divisor Sums; 1.21 Facts on Convex Functions; 1.22 Notes; 2. Equalities and Inequalities; 2.1 Facts on Equalities and Inequalities in One Variable; 2.2 Facts on Equalities and Inequalities in Two Variables; 2.3 Facts on Equalities and Inequalities in Three Variables. |
505 8# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 2.4 Facts on Equalities and Inequalities in Four Variables2.5 Facts on Equalities and Inequalities in Five Variables; 2.6 Facts on Equalities and Inequalities in Six Variables; 2.7 Facts on Equalities and Inequalities in Seven Variables; 2.8 Facts on Equalities and Inequalities in Eight Variables; 2.9 Facts on Equalities and Inequalities in Nine Variables; 2.10 Facts on Equalities and Inequalities in Sixteen Variables; 2.11 Facts on Equalities and Inequalities in n Variables; 2.12 Facts on Equalities and Inequalities in 2n Variables; 2.13 Facts on Equalities and Inequalities in 3n Variables. |
505 8# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 2.14 Facts on Equalities and Inequalities in 4n Variables2.15 Facts on Equalities and Inequalities for the Logarithm Function; 2.16 Facts on Equalities for Trigonometric Functions; 2.17 Facts on Inequalities for Trigonometric Functions; 2.18 Facts on Equalities and Inequalities for Inverse Trigonometric Functions; 2.19 Facts on Equalities and Inequalities for Hyperbolic Functions; 2.20 Facts on Equalities and Inequalities for Inverse Hyperbolic Functions; 2.21 Facts on Equalities and Inequalities in Complex Variables; 2.22 Notes; 3. Basic Matrix Properties; 3.1 Vectors; 3.2 Matrices. |
505 8# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 3.3 Transpose and Inner Product3.4 Geometrically Defined Sets; 3.5 Range and Null Space; 3.6 Rank and Defect; 3.7 Invertibility; 3.8 The Determinant; 3.9 Partitioned Matrices; 3.10 Majorization; 3.11 Facts on One Set; 3.12 Facts on Two or More Sets; 3.13 Facts on Range, Null Space, Rank, and Defect; 3.14 Facts on the Range, Rank, Null Space, and Defect of Partitioned Matrices; 3.15 Facts on the Inner Product, Outer Product, Trace, and Matrix Powers; 3.16 Facts on the Determinant; 3.17 Facts on the Determinant of Partitioned Matrices; 3.18 Facts on Left and Right Inverses. |
500 ## - GENERAL NOTE | |
General note | 3.19 Facts on the Adjugate. |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc. note | Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. | |
Summary, etc. | The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematics Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject. Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more. Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. Fully updated and expanded with new material on scalar and vector mathematics Covers the latest results in matrix theory Provides a list of symbols and a summary of conventions for easy and precise use Includes an extensive bibliography with back-referencing plus an author index. |
590 ## - LOCAL NOTE (RLIN) | |
Local note | IEEE |
Provenance (VM) [OBSOLETE] | IEEE Xplore Princeton University Press eBooks Library |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Matrices. |
9 (RLIN) | 2259 |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Linear systems. |
9 (RLIN) | 16164 |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Scalar field theory. |
9 (RLIN) | 65036 |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Vector analysis. |
9 (RLIN) | 4858 |
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Matrices. |
9 (RLIN) | 2259 |
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Syst�emes lin�eaires. |
9 (RLIN) | 65037 |
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Champs scalaires. |
9 (RLIN) | 65038 |
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Analyse vectorielle. |
9 (RLIN) | 65039 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | scalars. |
Source of heading or term | aat |
9 (RLIN) | 65040 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | MATHEMATICS |
General subdivision | Matrices. |
Source of heading or term | bisacsh |
9 (RLIN) | 63672 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Linear systems. |
Source of heading or term | fast |
Authority record control number or standard number | (OCoLC)fst00999098 |
9 (RLIN) | 16164 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Matrices. |
Source of heading or term | fast |
Authority record control number or standard number | (OCoLC)fst01012399 |
9 (RLIN) | 2259 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Scalar field theory. |
Source of heading or term | fast |
Authority record control number or standard number | (OCoLC)fst01106297 |
9 (RLIN) | 65036 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Vector analysis. |
Source of heading or term | fast |
Authority record control number or standard number | (OCoLC)fst01164651 |
9 (RLIN) | 4858 |
655 #4 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
9 (RLIN) | 3294 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Print version: |
Main entry heading | Bernstein, Dennis S. |
Title | Scalar, Vector, and Matrix Mathematics : Theory, Facts, and Formulas. |
Place, publisher, and date of publication | Princeton : Princeton University Press, �2018 |
International Standard Book Number | 9780691151205 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452589">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452589</a> |
938 ## - | |
-- | EBL - Ebook Library |
-- | EBLB |
-- | EBL5288322 |
938 ## - | |
-- | EBSCOhost |
-- | EBSC |
-- | 1592645 |
938 ## - | |
-- | YBP Library Services |
-- | YANK |
-- | 14643162 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | eBooks |
994 ## - | |
-- | 92 |
-- | INTKS |
No items available.