Problems and Worked Solutions in Vector Analysis (eBook)

L.R. Shorter (Autor)

eBook Download: EPUB

2014
368 Seiten
Dover Publications (Verlag)
978-0-486-79548-5 (ISBN)

Infos

Devoted to fully worked out examples, this unique text constitutes a self-contained introductory course in vector analysis. Topics include vector addition, subtraction, multiplication, and applications. "Very comprehensive." — The Mathematical Gazette. 1931 edition.

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"e;A handy book like this,"e; noted The Mathematical Gazette, "e;will fill a great want."e; Devoted to fully worked out examples, this unique text constitutes a self-contained introductory course in vector analysis for undergraduate and graduate students of applied mathematics.Opening chapters define vector addition and subtraction, show how to resolve and determine the direction of two or more vectors, and explain systems of coordinates, vector equations of a plane and straight line, relative velocity and acceleration, and infinitely small vectors. The following chapters deal with scalar and vector multiplication, axial and polar vectors, areas, differentiation of vector functions, gradient, curl, divergence, and analytical properties of the position vector. Applications of vector analysis to dynamics and physics are the focus of the final chapter, including such topics as moving rigid bodies, energy of a moving rigid system, central forces, equipotential surfaces, Gauss's theorem, and vector flow.

Inhalt

Chapter I. Addition Chapter II. Examples on Chapter I Chapter III. Multiplication Chapter IV. Examples on Chapter III Chapter V. Differentiation Chapter VI. Examples on Chapter V Chapter VII. Applications List of Equations Index

Produkt-Details

• Erscheint lt. Verlag: 1.6.2014
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: advanced mathematics • advanced undergraduate • Applied mathematics • Astronauts • College • Complex • Coordinate Systems • dover books, dover books on mathematics, mathematics, advanced mathematics, physics, vector analysis, applied mathematics, relative velocity, self study, mathematical reference, advanced undergraduate, graduate study, graduate student, problems worked and solutions, college, complex, airplanes, aviation, air transport, astronauts, spaceships, science, school, students and teachers, theoretical, scientists, phenomenon • energy of a moving rigid system • graduate student • graduate study • introductory course • mathematical reference • Mathematics • moving rigid bodies • Physics • problems worked and solutions • relative velocity • resolve vectors • school • Science • scientists • self study • spaceships • students and teachers • Theoretical • undergrad • vector addition • Vector analysis • vector analysis applications • Vector Analysis Problems • Vectors • vector subtraction • Worked Problems in Vector Analysis
• ISBN-10: 0-486-79548-9 / 0486795489
• ISBN-13: 978-0-486-79548-5 / 9780486795485