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Author: Seymour Schuster
Publisher:
Published: 2008
Total Pages: 228
ISBN-13:
DOWNLOAD EBOOKAppropriate for high school and college courses, this elementary text addresses the development of vector algebra as a mathematical tool and features applications to trigonometry and algebra. Exercises, solutions. 1962 edition.
Author: Gilbert de B. Robinson
Publisher: Courier Corporation
Published: 2013-10-10
Total Pages: 194
ISBN-13: 0486321045
DOWNLOAD EBOOKConcise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.
Author: Melvin Hausner
Publisher: Courier Dover Publications
Published: 2018-10-17
Total Pages: 417
ISBN-13: 0486835391
DOWNLOAD EBOOKA fascinating exploration of the correlation between geometry and linear algebra, this text also offers elementary explanations of the role of geometry in other branches of math and science. 1965 edition.
Author: Charles Ernest Weatherburn
Publisher:
Published: 1921
Total Pages: 218
ISBN-13:
DOWNLOAD EBOOKAuthor: D. E. Rutherford
Publisher: Courier Corporation
Published: 2012-04-27
Total Pages: 148
ISBN-13: 048615453X
DOWNLOAD EBOOKThis text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. 1957 edition.
Author: John Roe
Publisher: Clarendon Press
Published: 1993
Total Pages: 324
ISBN-13: 9780198534563
DOWNLOAD EBOOKThis textbook provides an introduction to Euclidean geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.
Author: J. A. Thorpe
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 263
ISBN-13: 1461261538
DOWNLOAD EBOOKIn the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student's preliminary understanding of higher dimensions is not cultivated.
Author: Miroslav Josipović
Publisher: Springer Nature
Published: 2019-11-22
Total Pages: 258
ISBN-13: 3030017567
DOWNLOAD EBOOKThis book enables the reader to discover elementary concepts of geometric algebra and its applications with lucid and direct explanations. Why would one want to explore geometric algebra? What if there existed a universal mathematical language that allowed one: to make rotations in any dimension with simple formulas, to see spinors or the Pauli matrices and their products, to solve problems of the special theory of relativity in three-dimensional Euclidean space, to formulate quantum mechanics without the imaginary unit, to easily solve difficult problems of electromagnetism, to treat the Kepler problem with the formulas for a harmonic oscillator, to eliminate unintuitive matrices and tensors, to unite many branches of mathematical physics? What if it were possible to use that same framework to generalize the complex numbers or fractals to any dimension, to play with geometry on a computer, as well as to make calculations in robotics, ray-tracing and brain science? In addition, what if such a language provided a clear, geometric interpretation of mathematical objects, even for the imaginary unit in quantum mechanics? Such a mathematical language exists and it is called geometric algebra. High school students have the potential to explore it, and undergraduate students can master it. The universality, the clear geometric interpretation, the power of generalizations to any dimension, the new insights into known theories, and the possibility of computer implementations make geometric algebra a thrilling field to unearth.
Author:
Publisher:
Published: 2000
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Serge Lang
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 624
ISBN-13: 1461210682
DOWNLOAD EBOOKThis new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems.
