Mathematics
Vector Analysis


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Elementary Vector Geometry
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Elementary Vector Geometry
by Seymour Schuster

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Dealing primarily with the development of vector algebra as a mathematical tool in geometry, this elementary text features applications to plane and spherical trigonometry. Appropriate for high school students and college undergraduates, it offers...
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Vector Analysis
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Vector Analysis
by Homer E Newell

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This text combines the logical approach of a mathematical subject with the intuitive approach of engineering and physical topics. The 1st part is devoted to a thorough treatment of vector algebra and the vector calculus. The 2nd part presents...
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Dover Pictorial Archives #5: Tensor Calculus
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Dover Pictorial Archives #5: Tensor Calculus
by John Synge

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Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space,...
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Tensors, Differential Forms, and Variational Principles
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Tensors, Differential Forms, and Variational Principles
by David Lovelock

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Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques, with large number of problems, from...
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Theory of Holors
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Theory of Holors
by Parry Moon

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Establishes a method by which students and teachers can learn vector and tensor analysis by a uniformed treatment....
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Tensor Norms & Operator Ideals
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Tensor Norms & Operator Ideals
by Andreas Defant

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The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as...
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Vectors in Two or Three Dimensions (Modular Mathematics Series)
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Vectors in Two or Three Dimensions (Modular Mathematics Series)
by A. E. Hirst

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subject in context....
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Springer Optimization and Its Applications #10: Nonsmooth Vector Functions and Continuous Optimization
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Springer Optimization and Its Applications #10: Nonsmooth Vector Functions and Continuous Optimization
by V Jeyakumar

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A recent significant innovation in mathematical sciences has been the progressive use of nonsmooth calculus, an extension of the differential calculus, as a key tool of modern analysis in many areas of mathematics, operations research, and engineering...
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Tensor Analysis on Manifolds
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Tensor Analysis on Manifolds
by Richard L Bishop

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Proceeds from general to special, including chapters on vector analysis on manifolds and integration theory....
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Vector Calculus (98 Edition)
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Vector Calculus (98 Edition)
by P. C. Matthews

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"Vector calculus is the foundation stone on which a vast amount of applied mathematics is based. Topics such as fluid dynamics, solid mechanics and electromagnetism depend heavily on the calculus of vector quantities in three dimensions. This book covers...
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Tensor Calculus and Analytical Dynamics (Library of Engineering Mathematics)
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Tensor Calculus and Analytical Dynamics (Library of Engineering Mathematics)
by John Papastavridis

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Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of...
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Cartesian Tensors: an Introduction (Dover Books on Mathematics)
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Cartesian Tensors: an Introduction (Dover Books on Mathematics)
by George Frederick James Temple

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An introduction to the theory of Cartesian tensors, this text notes the importance of the analysis of the structure of tensors in terms of spectral sets of projection operators as part of the very substance of quantum theory. Covers isotropic...
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Perspectives in Mathematics #9: Spinors and Calibrations
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Perspectives in Mathematics #9: Spinors and Calibrations
by F Reese Harvey

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Progress in mathematics is based on a thorough understanding of the mathematical objects under consideration, and yet many textbooks and monographs proceed to discuss general statements and assume that the reader can and will provide the mathematical...
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Bci-Algebra
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Bci-Algebra
by Yisheng Huang

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Distributed by Elsevier Science on behalf of Science Press. This book is mainly designed for graduate students who are interested in the theory of BCK and BCI-algebras. It introduces the general theoretical basis of BCI-algebras, omitting difficult...
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Gradient Flows: In Metric Spaces and in the Space of Probability Measures. Luigi Ambrosio, Nicola Gigli, Giuseppe Savar
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Gradient Flows: In Metric Spaces and in the Space of Probability Measures. Luigi Ambrosio, Nicola Gigli, Giuseppe Savar
by Giuseppe Savare

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This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure. It consists of two parts, the first one concerning gradient flows in metric spaces and the second one...
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Div Grad Curl & All That an Informal 4TH Edition
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Div Grad Curl & All That an Informal 4TH Edition
by H M Schey

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This work will help science and engineering students gain an understanding of the calculus vector operators divergence, gradient, curl, and Laplacian. This fourth edition preserves the book's informal writing style, moderately paced exposition, and...
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General Vector and Dyadic Analysis: Applied Mathematics in Field Theory (IEEE/OUP Series on Electromagnetic Wave Theory)
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General Vector and Dyadic Analysis: Applied Mathematics in Field Theory (IEEE/OUP Series on Electromagnetic Wave Theory)
by Chen-to Tai

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Unmatched in its coverage of the topic, the first edition of GENERALIZED VECTOR AND DYADIC ANALYSIS helped revolutionize the treatment of boundary-value problems, establishing itself as a classic in the field. This expanded, revised edition is the most...
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Isometries in Banach Spaces: Vector-Valued Function Spaces and Operator Spaces, Volume Two
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Isometries in Banach Spaces: Vector-Valued Function Spaces and Operator Spaces, Volume Two
by Richard J. Fleming

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A continuation of the authors' previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces. Picking up where...
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About Vectors
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About Vectors
by Banesh Hoffmann

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No calculus needed, but this is not an elementary book. Introduces vectors, algebraic notation and basic ideas, vector algebra and scalars. Covers areas of parallelograms, triple products, moments, angular velocity, areas and vectorial addition, more...
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Vector Methods Applied To Differenti 9TH Edition
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Vector Methods Applied To Differenti 9TH Edition
by D E Rutherford

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Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this 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...
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