A graduate-level text introducing the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Directed primarily to graduate-level engineers and physical scientists, it has also been used successfully to introduce modern differential geometry to graduate students in mathematics. Includes 45 illustrations. Index.
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Descripción Dover Publications Inc., United States, 1990. Paperback. Estado de conservación: New. New edition. 212 x 136 mm. Language: English . Brand New Book. To the reader who wishes to obtain a bird s-eye view of the theory of differential forms with applications to other branches of pure mathematics, applied mathematic and physics, I can recommend no better book. -- T. J. Willmore, London Mathematical Society Journal. This excellent text introduces the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Requiring familiarity with several variable calculus and some knowledge of linear algebra and set theory, it is directed primarily to engineers and physical scientists, but it has also been used successfully to introduce modern differential geometry to students in mathematics. Chapter I introduces exterior differential forms and their comparisons with tensors. The next three chapters take up exterior algebra, the exterior derivative and their applications. Chapter V discusses manifolds and integration, and Chapter VI covers applications in Euclidean space. The last three chapters explore applications to differential equations, differential geometry, and group theory. The book is very readable, indeed, enjoyable -- and, although addressed to engineers and scientists, should be not at all inaccessible to or inappropriate for . first year graduate students and bright undergraduates. -- F. E. J. Linton, Wesleyan University, American Mathematical Monthly. Nº de ref. de la librería AAZ9780486661698
Descripción Dover Pubns, 1989. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería V0-9780486661698
Descripción Dover Publishers. Estado de conservación: New. Brand New. Nº de ref. de la librería 0486661695
Descripción Dover Publications, 1989. Paperback. Estado de conservación: New. Nº de ref. de la librería B21S1-12
Descripción Dover Publications Inc., 1990. PAP. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9780486661698
Descripción Dover Publications Inc. 2003-03-17, 2003. Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-ING-00601680
Descripción Dover Publications Inc., 2003. Paperback. Estado de conservación: New. Brand New Book. Shipping: Once your order has been confirmed and payment received, your order will then be processed. The book will be located by our staff, packaged and despatched to you as quickly as possible. From time to time, items get mislaid en route. If your item fails to arrive, please contact us first. We will endeavour to trace the item for you and where necessary, replace or refund the item. Please do not leave negative feedback without contacting us first. All orders will be dispatched within two working days. If you have any quesions please contact us. Nº de ref. de la librería V9780486661698
Descripción Dover Publications, 1989. Estado de conservación: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Foreword; Preface to the Dover Edition; Preface to the First Edition I. Introduction 1.1 Exterior Differential Forms 1.2 Comparison with Tensors II. Exterior algebra 2.1 The Space of p-vectors 2.2 Determinants 2.3 Exterior Products 2.4 Linear Transformations 2.5 Inner Product Spaces 2.6 Inner Products of p-vectors 2.7 The Star Operator 2.8 Problems III. The Exterior Derivative 3.1 Differential Forms 3.2 Exterior Derivative 3.3 Mappings 3.4 Change of coordinates 3.5 An Example from Mechanics 3.6 Converse of the Poincare Lemma 3.7 An Example 3.8 Further Remarks 3.9 Problems IV. Applications 4.1 Moving Frames in E superscript 3 4.2 Relation between Orthogonal and Skew-symmetric Matrices 4.3 The 6-dimensional Frame Space 4.4 The Laplacian, Orthogonal Coordinates 4.5 Surfaces 4.6 Maxwell's Field Equations 4.7 Problems V. Manifolds and Integration 5.1 Introduction 5.2 Manifolds 5.3 Tangent Vectors 5.4 Differential Forms 5.5 Euclidean Simplices 5.6 Chains and Boundaries 5.7 Integration of Forms 5.8 Stokes' Theorem 5.9 Periods and De Rham's Theorems 5.10 Surfaces; Some Examples 5.11 Mappings of Chains 5.12 Problems VI. Applications in Euclidean Space 6.1 Volumes in E superscript n 6.2 Winding Numbers, Degree of a Mapping 6.3 The Hopf Invariant 6.4 Linking Numbers, the Gauss Integral, Ampere's Law VII. Applications to Different Equations 7.1 Potential Theory 7.2 The Heat Equation 7.3 The Frobenius Integration Theorem 7.4 Applications of the Frobenius Theorem 7.5 Systems of Ordinary Equations 7.6 The Third Lie Theorem VIII. Applications to Differential Geometry 8.1 Surfaces (Continued) 8.2 Hypersurfaces 8.3 Riemannian Geometry, Local Theory 8.4 Riemannian Geometry, Harmonic Integrals 8.5 Affine Connection 8.6 Problems IX. Applications to Group Theory 9.1 Lie Groups 9.2 Examples of Lie Groups 9.3 Matrix Groups 9.4 Examples of Matrix Groups 9.5 Bi-invariant Forms 9.6 Problems X. Applications to Physics 10.1 Phase and State Space 10.2 Hamiltonian Systems 10.3 Integral-invariants 10.4 Brackets 10.5 Contact Transformations 10.6 Fluid Mechanics 10.7 Problems Bibliography; Glossary of Notation; Index. Nº de ref. de la librería ABE_book_new_0486661695
Descripción Dover Publications Inc. Paperback. Estado de conservación: new. BRAND NEW, Differential Forms with Applications to the Physical Sciences (New edition), Harley Flanders. Nº de ref. de la librería B9780486661698
Descripción Dover Publications Inc. 1990-08-01, New York, 1990. paperback. Estado de conservación: New. Nº de ref. de la librería 9780486661698