Vectors in three-dimensional space:
This book deals with vector algebra and analysis and with their application to three-dimensional geometry and the analysis of fields in three dimensions. While many treatments of the application of vectors have approached the fundamentals of the subject intuitively, assuming some prior knowledge of...
Gespeichert in:
| Beteilige Person: | |
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1978
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| Links: | https://doi.org/10.1017/CBO9780511569494 |
| Zusammenfassung: | This book deals with vector algebra and analysis and with their application to three-dimensional geometry and the analysis of fields in three dimensions. While many treatments of the application of vectors have approached the fundamentals of the subject intuitively, assuming some prior knowledge of Euclidean and Cartesian geometry, Professor Chrisholm here bases the subject on the axioms of linear space algebra, which are fundamental to many branches of mathematics. While developing the properties of vectors from axioms, however, he continually emphasizes the geometrical interpretation of vector algebra in order to build up intuitive relations between the algebraic equations and geometrical concepts. Throughout, examples are used to illustrate the theory being developed; several sets of problems are incorporate in each chapter, and outline answers to many of these are given. Written primarily for undergraduate mathematicians in the early part of their courses, this lucidly written book will also appeal to mathematical physicists and to mathematically inclined engineers. |
| Umfang: | 1 Online-Ressource (xii, 293 Seiten) |
| ISBN: | 9780511569494 |
Internformat
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| 520 | |a This book deals with vector algebra and analysis and with their application to three-dimensional geometry and the analysis of fields in three dimensions. While many treatments of the application of vectors have approached the fundamentals of the subject intuitively, assuming some prior knowledge of Euclidean and Cartesian geometry, Professor Chrisholm here bases the subject on the axioms of linear space algebra, which are fundamental to many branches of mathematics. While developing the properties of vectors from axioms, however, he continually emphasizes the geometrical interpretation of vector algebra in order to build up intuitive relations between the algebraic equations and geometrical concepts. Throughout, examples are used to illustrate the theory being developed; several sets of problems are incorporate in each chapter, and outline answers to many of these are given. Written primarily for undergraduate mathematicians in the early part of their courses, this lucidly written book will also appeal to mathematical physicists and to mathematically inclined engineers. | ||
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| id | ZDB-20-CTM-CR9780511569494 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-19T15:54:05Z |
| institution | BVB |
| isbn | 9780511569494 |
| language | English |
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| publishDate | 1978 |
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| publisher | Cambridge University Press |
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| spelling | Chisholm, J. S. R. Vectors in three-dimensional space J.S.R. Chisholm Cambridge Cambridge University Press 1978 1 Online-Ressource (xii, 293 Seiten) txt c cr This book deals with vector algebra and analysis and with their application to three-dimensional geometry and the analysis of fields in three dimensions. While many treatments of the application of vectors have approached the fundamentals of the subject intuitively, assuming some prior knowledge of Euclidean and Cartesian geometry, Professor Chrisholm here bases the subject on the axioms of linear space algebra, which are fundamental to many branches of mathematics. While developing the properties of vectors from axioms, however, he continually emphasizes the geometrical interpretation of vector algebra in order to build up intuitive relations between the algebraic equations and geometrical concepts. Throughout, examples are used to illustrate the theory being developed; several sets of problems are incorporate in each chapter, and outline answers to many of these are given. Written primarily for undergraduate mathematicians in the early part of their courses, this lucidly written book will also appeal to mathematical physicists and to mathematically inclined engineers. Erscheint auch als Druck-Ausgabe 9780521218320 Erscheint auch als Druck-Ausgabe 9780521292894 |
| spellingShingle | Chisholm, J. S. R. Vectors in three-dimensional space |
| title | Vectors in three-dimensional space |
| title_auth | Vectors in three-dimensional space |
| title_exact_search | Vectors in three-dimensional space |
| title_full | Vectors in three-dimensional space J.S.R. Chisholm |
| title_fullStr | Vectors in three-dimensional space J.S.R. Chisholm |
| title_full_unstemmed | Vectors in three-dimensional space J.S.R. Chisholm |
| title_short | Vectors in three-dimensional space |
| title_sort | vectors in three dimensional space |
| work_keys_str_mv | AT chisholmjsr vectorsinthreedimensionalspace |