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Classical Vector Algebra - Vladimir Lepetic

Classical Vector Algebra

Buch | Softcover
144 Seiten
2022
Chapman & Hall/CRC (Verlag)
978-1-032-38099-5 (ISBN)
CHF 69,80 inkl. MwSt
Vector algebra discussed in this book addresses primarily the vectors in 3-dimensional Euclidian space, and more specifically in Cartesian R^3 space.The book is intended to be a comprehensive introduction to vector algebra in 3-dimensional Euclidean space, and its application to analytic geometry.
Every physicist, engineer, and certainly a mathematician, would undoubtedly agree that vector algebra is a part of basic mathematical instruments packed in their toolbox.

Classical Vector Algebra should be viewed as a prerequisite, an introduction, for other mathematical courses dealing with vectors, following typical form and appropriate rigor of more advanced mathematics texts.

Vector algebra discussed in this book briefly addresses vectors in general 3-dimensional Euclidian space, and then, in more detail, looks at vectors in Cartesian □□3 space. These vectors are easier to visualize and their operational techniques are relatively simple, but they are necessary for the study of Vector Analysis. In addition, this book could also serve as a good way to build up intuitive knowledge for more abstract structures of □□-dimensional vector spaces.

Definitions, theorems, proofs, corollaries, examples, and so on are not useless formalism, even in an introductory treatise -- they are the way mathematical thinking has to be structured. In other words, "introduction" and "rigor" are not mutually exclusive.

The material in this book is neither difficult nor easy. The text is a serious exposition of a part of mathematics students need to master in order to be proficient in their field. In addition to the detailed outline of the theory, the book contains literally hundreds of corresponding examples/exercises.

Vladimir Lepetic is Professor in the Department of Mathematical Sciences, DePaul University. Research interests include mathematical physics, set theory, foundation and philosophy of mathematics.

1. Introduction. 2. Vector Space – Definitions, Notation and Examples. 3. Three – dimensional Vector Space V. 4. Vectors in R^3 Space. 5. Elements of Analytic Geometry. Appendix A. Appendix B. Appendix C.

Erscheinungsdatum
Reihe/Serie Textbooks in Mathematics
Zusatzinfo 90 Line drawings, black and white; 90 Illustrations, black and white
Sprache englisch
Maße 156 x 234 mm
Gewicht 163 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie
Technik Umwelttechnik / Biotechnologie
ISBN-10 1-032-38099-3 / 1032380993
ISBN-13 978-1-032-38099-5 / 9781032380995
Zustand Neuware
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von Christian Karpfinger

Buch | Softcover (2022)
Springer Spektrum (Verlag)
CHF 76,95