Vector Analysis category: 40 books

From his unusual beginning in "Defining a vector" to his final comments on "What then is a vector?" author Banesh Hoffmann has written a book that is provocative and unconventional. In his emphasis on the unresolved issue of defining a vector, Hoffmann mixes pure and applied mathematics...

"This is a first-rate book and deserves to be widely read." — American Mathematical MonthlyDespite its success as a mathematical tool in the general theory of relativity and its adaptability to a wide range of mathematical and physical problems, tensor analysis has always had a rather restricted...

The effects of geometry and linear algebra on each other receive close attention in this examination of geometry’s correlation with other branches of math and science. In-depth discussions include a review of systematic geometric motivations in vector space theory and matrix theory; the use of the...

Geared toward undergraduate students, this text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical trigonometry, and analytic geometry of two- and three-dimensional space. Its rigorous development includes a complete treatment of the algebra of vectors...

This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as “Linear Algebra I” and “Linear Algebra II” throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition...

Featuring the clearly presented and expertly-refereed contributions of leading researchers in the field of approximation theory, this volume is a collection of the best contributions at the Third International Conference on Applied Mathematics and Approximation Theory, an international conference...

A primary resource for graduate teaching and research in advanced electromagnetic materials, Special Topics in Electromagnetics covers some new methods for treating the interaction of electromagnetic field with materials, as well as biological applications and radar identification using electromagnetic...

This standard work applies tensorial methods to subjects within the realm of advanced college mathematics. In its four main divisions, it explains the fundamental ideas and the notation of tensor theory; covers the geometrical treatment of tensor algebra; introduces the theory of the differentiation...

In diesem Buch wurden viele Aufgaben mit Lösungen und Lösungserklärungen für die Oberstufe zusammengestellt. Aufgaben mit erhöhtem Schwierigkeitsgrad sind extra gekennzeichnet (z.B. LK für Leistungskurse). Im Wesentlichen wurden hier Aufgaben von mir kreiert, die zum grundlegenden Verständnis...

Das Buch enthält Aufgaben aus der Analysis. Es enthält Aufgaben ganzrationaler Funktionen und Funktionenscharen 2., 3. und 4.Grades aber auch e- und ln-Funktionen, schließlich sind auch einige gebrochen rationale Funktionen und Integrale enthalten. Die Lösungen aller Aufgaben werden sehr genau...

The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers, and applied mathematicians. In the later, increasingly sophisticated chapters, the interaction between the...

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici: spazi di Banach e di Hilbert operazioni in spazi vettoriali misura e integrale di Lebesgue Sono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi.

Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using only calculus. Commencing with the inverse square...

This solutions manual thoroughly goes through the exercises found in Undergraduate Convexity: From Fourier and Motzkin to Kuhn and Tucker. Several solutions are accompanied by detailed illustrations and intuitive explanations. This book will pave the way for students to easily grasp the multitude...