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1 Landi, Giovanni Linear Algebra and Analytic Geometry for Physical Sciences I09687 2018 eBook  
2 Jeffrey, Alan Matrix Operations for Engineers and Scientists I07416 2010 eBook  
3 Alhaidari, Abdulaziz D The J-Matrix Method I05989 2008 eBook  
4 Barlotti, A Generators and Relations in Groups and Geometries I02261 1991 eBook  
5 Riesz, Marcel Clifford Numbers and Spinors I01987 1993 eBook  
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TitleLinear Algebra and Analytic Geometry for Physical Sciences
Author(s)Landi, Giovanni;Zampini, Alessandro
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2018.
DescriptionXII, 345 p : online resource
Abstract NoteA self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physics, notably mechanics (including celestial) and electro-magnetism, with more than two hundreds examples and solved exercises. Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac???s bra-ket formalism. Spectral theory for self-adjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number. The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a post-graduate qualification
ISBN,Price9783319783611
Keyword(s)1. ALGEBRA 2. APPLIED MATHEMATICS 3. Computer science???Mathematics 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. GEOMETRY 8. Linear and Multilinear Algebras, Matrix Theory 9. Math Applications in Computer Science 10. Mathematical and Computational Engineering 11. Mathematical Applications in the Physical Sciences 12. Mathematical Methods in Physics 13. MATHEMATICAL PHYSICS 14. MATRIX THEORY 15. PHYSICS
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TitleMatrix Operations for Engineers and Scientists : An Essential Guide in Linear Algebra
Author(s)Jeffrey, Alan
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2010.
DescriptionIV, 278 p : online resource
Abstract NoteEngineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of the underlying theory, limits the ability to use matrices and to apply them to new problems. This book explains matrices in the detail required by engineering or science students, and it discusses linear systems of ordinary differential equations. These students require a straightforward introduction to linear algebra illustrated by applications to which they can relate. It caters of the needs of undergraduate engineers in all disciplines, and provides considerable detail where it is likely to be helpful. According to the author the best way to understand the theory of matrices is by working simple exercises designed to emphasize the theory, that at the same time avoid distractions caused by unnecessary numerical calculations. Hence, examples and exercises in this book have been constructed in such a way that wherever calculations are necessary they are straightforward. For example, when a characteristic equation occurs, its roots (the eigenvalues of a matrix) can be found by inspection. The author of this book is Alan Jeffrey, Emeritus Professor of mathematics at the Univesity of Newcastle upon Tyne. He has given courses on engineering mathematics in UK and US Universities
ISBN,Price9789048192748
Keyword(s)1. ALGEBRA 2. APPLIED MATHEMATICS 3. DIFFERENTIAL EQUATIONS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. Linear and Multilinear Algebras, Matrix Theory 8. Mathematical and Computational Engineering 9. Mathematical Methods in Physics 10. MATRIX THEORY 11. ORDINARY DIFFERENTIAL EQUATIONS 12. PHYSICS
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TitleThe J-Matrix Method : Developments and Applications
Author(s)Alhaidari, Abdulaziz D;Heller, Eric J;Yamani, Hashim A;Abdelmonem, Mohamed S
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2008.
DescriptionXVIII, 356 p : online resource
Abstract NoteThis volume aims to provide the fundamental knowledge to appreciate the advantages of the J-matrix method and to encourage its use and further development. The J-matrix method is an algebraic method of quantum scattering with substantial success in atomic and nuclear physics. The accuracy and convergence property of the method compares favourably with other successful scattering calculation methods. Despite its thirty-year long history new applications are being found for the J-matrix method. This book gives a brief account of the recent developments and some selected applications of the method in atomic and nuclear physics. New findings are reported in which experimental results are compared to theoretical calculations. Modifications, improvements and extensions of the method are discussed using the language of the J-matrix. The volume starts with a Foreword by the two co-founders of the method, E.J. Heller and H.A. Yamani and it contains contributions from 24 prominent international researchers
ISBN,Price9781402060731
Keyword(s)1. ALGEBRA 2. EBOOK 3. EBOOK - SPRINGER 4. Heavy ions 5. Linear and Multilinear Algebras, Matrix Theory 6. MATRIX THEORY 7. NUCLEAR PHYSICS 8. Nuclear Physics, Heavy Ions, Hadrons 9. QUANTUM PHYSICS
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TitleGenerators and Relations in Groups and Geometries
Author(s)Barlotti, A;Ellers, E.W;Plaumann, P;Strambach, K
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1991.
DescriptionXV, 447 p : online resource
Abstract NoteEvery group is represented in many ways as an epimorphic image of a free group. It seems therefore futile to search for methods involving generators and relations which can be used to detect the structure of a group. Nevertheless, results in the indicated direction exist. The clue is to ask the right question. Classical geometry is a typical example in which the factorization of a motion into reflections or, more generally, of a collineation into central collineations, supplies valuable information on the geometric and algebraic structure. This mode of investigation has gained momentum since the end of last century. The tradition of geometric-algebraic interplay brought forward two branches of research which are documented in Parts I and II of these Proceedings. Part II deals with the theory of reflection geometry which culminated in Bachmann's work where the geometric information is encoded in properties of the group of motions expressed by relations in the generating involutions. This approach is the backbone of the classification of motion groups for the classical unitary and orthogonal planes. The axioms in this char?? acterization are natural and plausible. They provoke the study of consequences of subsets of axioms which also yield natural geometries whose exploration is rewarding. Bachmann's central axiom is the three reflection theorem, showing that the number of reflections needed to express a motion is of great importance
ISBN,Price9789401133821
Keyword(s)1. ALGEBRA 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. Field theory (Physics) 6. Field Theory and Polynomials 7. GROUP THEORY 8. Group Theory and Generalizations 9. Linear and Multilinear Algebras, Matrix Theory 10. MATRIX THEORY
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TitleClifford Numbers and Spinors
Author(s)Riesz, Marcel;Bolinder, E.F;Lounesto, P
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1993.
DescriptionX, 246 p : online resource
Abstract NoteMarcellliesz's lectures delivered on October 1957 -January 1958 at the Uni?? versity of Maryland, College Park, have been previously published only infor?? mally as a manuscript entitled CLIFFORD NUMBERS AND SPINORS (Chap?? ters I - IV). As the title says, the lecture notes consist of four Chapters I, II, III and IV. However, in the preface of the lecture notes lliesz refers to Chapters V and VI which he could not finish. Chapter VI is mentioned on pages 1, 3, 16, 38 and 156, which makes it plausible that lliesz was well aware of what he was going to include in the final missing chapters. The present book makes lliesz's classic lecture notes generally available to a wider audience and tries somewhat to fill in one of the last missing chapters. This book also tries to evaluate lliesz's influence on the present research on Clifford algebras and draws special attention to lliesz's contributions in this field - often misunderstood
ISBN,Price9789401710473
Keyword(s)1. ALGEBRA 2. EBOOK 3. EBOOK - SPRINGER 4. Linear and Multilinear Algebras, Matrix Theory 5. MATHEMATICAL PHYSICS 6. MATRIX THEORY 7. Theoretical, Mathematical and Computational Physics
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I01987     On Shelf    

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