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Spinors and Calibrations
ISBN: 9780123296504 / Angielski / Twarda / 323 str. 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 infrastructure of examples and counterexamples. This book makes a deliberate effort to correct this situation: it is a collection of examples. The following table of contents describes its breadth and reveals the underlying motivation--differential geometry--in its many facets: Riemannian, symplectic, K*adahler, hyperK*adahler, as well as complex...
Progress in mathematics is based on a thorough understanding of the mathematical objects under consideration, and yet many textbooks and monographs pr...
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cena:
264,02 zł |
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Measure Theory: A First Course
ISBN: 9780123708991 / Angielski / Twarda / 166 str. This contemporary first course focuses on concepts and ideas of Measure Theory, highlighting the theoretical side of the subject. Its primary intention is to introduce Measure Theory to a new generation of students, whether in mathematics or in one of the sciences, by offering them on the one hand a text with complete, rigorous and detailed proofs--sketchy proofs have been a perpetual complaint, as demonstrated in the many Amazon reader reviews critical of authors who "omit 'trivial' steps" and "make not-so-obvious 'it is obvious' remarks." On the other hand, Kubrusly offers a unique...
This contemporary first course focuses on concepts and ideas of Measure Theory, highlighting the theoretical side of the subject. Its primary intentio...
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cena:
212,47 zł |
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Vector Calculus
ISBN: 9780130880055 / Angielski / Miękka / 480 str. This brief book presents an accessible treatment of multivariable calculus with an early emphasis on linear algebra as a tool. Its organization draws strong analogies with the basic ideas of elementary calculus (derivative, integral, and fundamental theorem). Traditional in approach, it is written with an assumption that the student reader may have computing facilities for two- and three-dimensional graphics, and for doing symbolic algebra. Chapter topics include coordinate and vector geometry, differentiation, applications of differentiation, integration, and... This brief book presents an accessible treatment of multivariable calculus with an early emphasis on linear algebra as a tool. Its organi... |
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660,21 zł |
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Tensors and Manifolds: With Applications to Physics
ISBN: 9780198510598 / Angielski / Twarda / 464 str. This book is a new edition of "Tensors and Manifolds: With Applications to Mechanics and Relativity" which was published in 1992. It is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics, giving an introduction to the expanse of modern mathematics and its application in modern physics. It aims to fill the gap between the basic courses and the highly technical and specialized courses which both mathematics and physics students require in their advanced training, while simultaneously trying to promote at an early stage, a better...
This book is a new edition of "Tensors and Manifolds: With Applications to Mechanics and Relativity" which was published in 1992. It is based on cours...
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cena:
788,19 zł |
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Vector Calculus
ISBN: 9780340677414 / Angielski / Miękka / 256 str. Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration. Undergraduates who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order...
Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book in...
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cena:
222,78 zł |
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Tensors: The Mathematics of Relativity Theory and Continuum Mechanics
ISBN: 9780387694689 / Angielski / Twarda / 290 str. Tensor algebra and tensor analysis were developed by Riemann, Christo?el, Ricci, Levi-Civita and others in the nineteenth century. The special theory of relativity, as propounded by Einstein in 1905, was elegantly expressed by Minkowski in terms of tensor ?elds in a ?at space-time. In 1915, Einstein formulated the general theory of relativity, in which the space-time manifold is curved. The theory is aesthetically and intellectually satisfying. The general theory of relativity involves tensor analysis in a pseudo- Riemannian manifold from the outset. Later, it was realized that even the...
Tensor algebra and tensor analysis were developed by Riemann, Christo?el, Ricci, Levi-Civita and others in the nineteenth century. The special theory ...
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cena:
692,96 zł |
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Vector Analysis
ISBN: 9780387986494 / Angielski / Twarda / 284 str. The present book is a marvelous introduction in the modern theory of manifolds and differential forms. The undergraduate student can closely examine tangent spaces, basic concepts of differential forms, integration on manifolds, Stokes theorem, de Rham- cohomology theorem, differential forms on Riema-nnian manifolds, elements of the theory of differential equations on manifolds (Laplace-Beltrami operators). Every chapter contains useful exercises for the students. ZENTRALBLATT MATH
The present book is a marvelous introduction in the modern theory of manifolds and differential forms. The undergraduate student can closely examine t...
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cena:
280,94 zł |
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DIV, Grad, Curl, and All That: An Informal Text on Vector Calculus
ISBN: 9780393925166 / Angielski / Miękka / 176 str. Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise coverage of vector calculus, helping science and engineering students gain a thorough understanding of gradient, curl, and Laplacian operators without required knowledge of advanced mathematics.
Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise cov...
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cena:
190,24 zł |
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Nine Introductions in Complex Analysis - Revised Edition
ISBN: 9780444518316 / Angielski / Twarda / 500 str. The book addresses many topics not usually in "second course in complex analysis" texts. It also contains multiple proofs of several central results, and it has a minor historical perspective. - Proof of Bieberbach conjecture (after DeBranges)
- Material on asymptotic values - Material on Natural Boundaries - First four chapters are comprehensive introduction to entire and metomorphic functions - First chapter (Riemann Mapping Theorem) takes up where "first courses" usually leave off The book addresses many topics not usually in "second course in complex analysis" texts. It also contains multiple proofs of several central results, ...
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cena:
934,29 zł |
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Tensor Norms and Operator Ideals
ISBN: 9780444890917 / Angielski / Twarda / 565 str. 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 well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as designed by Grothendieck in the Resume and deals with the relation between tensor norms and operator ideals. The last chapter deals with special questions. Each section is accompanied by a series of...
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 i...
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cena:
264,02 zł |
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Tensor Calculus: A Concise Course
ISBN: 9780486428314 / Angielski / Miękka / 144 str. "This book will prove to be a good introduction, both for the physicist who wishes to make applications and for the mathematician who prefers to have a short survey before taking up one of the more voluminous textbooks on differential geometry." "MathSciNet (Mathematical Reviews on the Web), " American Mathematical Society
A compact exposition of the fundamental results in the theory of tensors, this text also illustrates the power of the tensor technique by its applications to differential geometry, elasticity, and relativity. The first five chapters--comprising tensor algebra, the line... "This book will prove to be a good introduction, both for the physicist who wishes to make applications and for the mathematician who prefers to have ...
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cena:
41,16 zł |
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Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory
ISBN: 9780486439037 / Angielski / Miękka / 135 str. 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 applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section explores the many aspects of the theory of mechanics adaptable to the use of vectors, and a full discussion of the vector operator "nabla" proceeds to a treatment of potential theory and Laplace's...
Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theo...
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cena:
45,30 zł |
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Cartesian Tensors: An Introduction
ISBN: 9780486439082 / Angielski / Miękka / 92 str. This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general theory and indicate certain extensions and applications. 1960 edition.
This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general th...
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cena:
37,02 zł |
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Matrix Vector Analysis
ISBN: 9780486441818 / Angielski / Miękka / 314 str. This outstanding text and reference applies matrix ideas to vector methods, using physical ideas to illustrate and motivate mathematical concepts but employing a mathematical continuity of development rather than a physical approach. The author, who taught at the U.S. Air Force Academy, dispenses with the artificial barrier between vectors and matrices--and more generally, between pure and applied mathematics. Motivated examples introduce each idea, with interpretations of physical, algebraic, and geometric contexts, in addition to generalizations to theorems that reflect the essential...
This outstanding text and reference applies matrix ideas to vector methods, using physical ideas to illustrate and motivate mathematical concepts but ...
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cena:
78,39 zł |
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Vectors and Their Applications
ISBN: 9780486445212 / Angielski / Miękka / 123 str. 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 in the first two chapters.
Among the text's outstanding features are numbered definitions and theorems in the development of vector algebra, which appear in italics for easy reference. Most of the theorems include proofs, and coordinate position vectors receive an in-depth treatment. Key... Geared toward undergraduate students, this text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical...
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cena:
37,02 zł |
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Vector Analysis
ISBN: 9780486450308 / Angielski / Miękka / 282 str. This text for undergraduates was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. Uses of the potential function, both scalar and vector, are fully illustrated. 1957 edition. 86 figures.
This text for undergraduates was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief...
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cena:
74,26 zł |
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Mathematics for Quantum Mechanics: An Introductory Survey of Operators, Eigenvalues, and Linear Vector Spaces
ISBN: 9780486453088 / Angielski / Miękka / 97 str. This concise text for advanced undergraduates and graduate students covers eigenvalue problems in classical physics, orthogonal functions and expansions, the Sturm-Liouville theory and linear operators on functions, and linear vector spaces. It emphasizes the unity of a variety of techniques and is enduringly relevant to many physical systems. 1962 edition.
This concise text for advanced undergraduates and graduate students covers eigenvalue problems in classical physics, orthogonal functions and expansio...
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cena:
41,16 zł |
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Vector Analysis
ISBN: 9780486453385 / Angielski / Miękka / 216 str. This text combines the logical approach of a mathematical subject with the intuitive approach of engineering and physical topics. Applications include kinematics, mechanics, and electromagnetic theory. Includes exercises and answers. 1955 edition.
This text combines the logical approach of a mathematical subject with the intuitive approach of engineering and physical topics. Applications include...
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cena:
61,85 zł |
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About Vectors
ISBN: 9780486604893 / Angielski / Miękka / 144 str. 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 without using calculus. The result is a treatment that can serve as a supplement and corrective to textbooks, as well as collateral reading in all courses that deal with vectors. Major topics include vectors and the parallelogram law; algebraic notation and basic ideas; vector algebra; scalars and scalar...
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 ...
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cena:
45,30 zł |
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Tensor Calculus
ISBN: 9780486636122 / Angielski / Miękka / 336 str. Mathematicians, theoretical physicists, and engineers unacquainted with tensor calculus are at a serious disadvantage in several fields of pure and applied mathematics. They are cut off from the study of Reimannian geometry and the general theory of relativity. Even in Euclidean geometry and Newtonian mechanics (particularly the mechanics of continua), they are compelled to work in notations which lack the compactness of tensor calculus. This classic text is a fundamental introduction to the subject for the beginning student of absolute differential calculus, and for those interested in the...
Mathematicians, theoretical physicists, and engineers unacquainted with tensor calculus are at a serious disadvantage in several fields of pure and ap...
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cena:
74,26 zł |
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