Linear Algebra And Group Theory For Physicists And Engineers

Author : Yair Shapira
Publisher : Springer Nature
ISBN 13 : 3031224221
Total Pages : 583 pages
Book Rating : 4.25/5 ( download)

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Download or read book Linear Algebra and Group Theory for Physicists and Engineers written by Yair Shapira and published by Springer Nature. This book was released on 2023-01-16 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook demonstrates the strong interconnections between linear algebra and group theory by presenting them simultaneously, a pedagogical strategy ideal for an interdisciplinary audience. Being approached together at the same time, these two topics complete one another, allowing students to attain a deeper understanding of both subjects. The opening chapters introduce linear algebra with applications to mechanics and statistics, followed by group theory with applications to projective geometry. Then, high-order finite elements are presented to design a regular mesh and assemble the stiffness and mass matrices in advanced applications in quantum chemistry and general relativity. This text is ideal for undergraduates majoring in engineering, physics, chemistry, computer science, or applied mathematics. It is mostly self-contained—readers should only be familiar with elementary calculus. There are numerous exercises, with hints or full solutions provided. A series of roadmaps are also provided to help instructors choose the optimal teaching approach for their discipline. The second edition has been revised and updated throughout and includes new material on the Jordan form, the Hermitian matrix and its eigenbasis, and applications in numerical relativity and electromagnetics.

Author : Arak M. Mathai
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110562596
Total Pages : 670 pages
Book Rating : 4.90/5 ( download)

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Download or read book Linear Algebra written by Arak M. Mathai and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-10-23 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order not to intimidate students by a too abstract approach, this textbook on linear algebra is written to be easy to digest by non-mathematicians. It introduces the concepts of vector spaces and mappings between them without dwelling on statements such as theorems and proofs too much. It is also designed to be self-contained, so no other material is required for an understanding of the topics covered. As the basis for courses on space and atmospheric science, remote sensing, geographic information systems, meteorology, climate and satellite communications at UN-affiliated regional centers, various applications of the formal theory are discussed as well. These include differential equations, statistics, optimization and some engineering-motivated problems in physics. Contents Vectors Matrices Determinants Eigenvalues and eigenvectors Some applications of matrices and determinants Matrix series and additional properties of matrices

Author : Pichai Ramadevi
Publisher : Cambridge University Press
ISBN 13 : 1108429475
Total Pages : 175 pages
Book Rating : 4.74/5 ( download)

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Download or read book Group Theory for Physicists written by Pichai Ramadevi and published by Cambridge University Press. This book was released on 2019-12-12 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers two important aspects of group theory namely discrete groups and Lie groups.

Author : A. Zee
Publisher : Princeton University Press
ISBN 13 : 1400881188
Total Pages : 632 pages
Book Rating : 4.85/5 ( download)

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Download or read book Group Theory in a Nutshell for Physicists written by A. Zee and published by Princeton University Press. This book was released on 2016-03-29 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise, modern textbook on group theory written especially for physicists Although group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces. Yet until now, what has been missing is a modern, accessible, and self-contained textbook on the subject written especially for physicists. Group Theory in a Nutshell for Physicists fills this gap, providing a user-friendly and classroom-tested text that focuses on those aspects of group theory physicists most need to know. From the basic intuitive notion of a group, A. Zee takes readers all the way up to how theories based on gauge groups could unify three of the four fundamental forces. He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study. Provides physicists with a modern and accessible introduction to group theory Covers applications to various areas of physics, including field theory, particle physics, relativity, and much more Topics include finite group and character tables; real, pseudoreal, and complex representations; Weyl, Dirac, and Majorana equations; the expanding universe and group theory; grand unification; and much more The essential textbook for students and an invaluable resource for researchers Features a brief, self-contained treatment of linear algebra An online illustration package is available to professors Solutions manual (available only to professors)

Author : K. Srinivasa Rao
Publisher : Hindustan Book Agency and Indian National Science Academy
ISBN 13 :
Total Pages : 618 pages
Book Rating : 4.42/5 ( download)

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Download or read book Linear Algebra and Group Theory for Physicists written by K. Srinivasa Rao and published by Hindustan Book Agency and Indian National Science Academy. This book was released on 2006-01-15 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Srinivasa Rao's text on Linear Algebra and Group Theory is directed to undergraduate and graduate students who wish to acquire a solid theoretical foundation in these mathematical topics which find extensive use in physics. Based on courses delivered during Professor Srinivasa Rao's long career at the University of Mysore, this text is remarkable for its clear exposition of the subject. Advanced students will find a range of topics such as the Representation theory of Linear Associative Algebras, a complete analysis of Dirac and Kemmer algebras, Representations of the Symmetric group via Young Tableaux, a systematic derivation of the Crystallographic point groups, a comprehensive and unified discussion of the Rotation and Lorentz groups and their representations, and an introduction to Dynkin diagrams in the classification of Lie groups. In addition, the first few chapters on Elementary Group Theory and Vector Spaces also provide useful instructional material even at an introductory level. An authority on diverse aspects of mathematical physics, Professor K N Srinivasa Rao taught at the University of Mysore until 1982 and was subsequently at the Indian Institute of Science, Bangalore. He has authored a number of texts, among them being ""The Rotation and Lorentz Groups and their Representations for Physicists"" (Wiley, 1988) and ""Classical Mechanics"" (Universities Press, 2003). The first edition of ""Linear Algebra and Group Theory for Physicists"" was co-published in 1996 by New Age International, and Wiley, New York.

Author : Nadir Jeevanjee
Publisher : Springer Science & Business Media
ISBN 13 : 0817647147
Total Pages : 247 pages
Book Rating : 4.48/5 ( download)

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Download or read book An Introduction to Tensors and Group Theory for Physicists written by Nadir Jeevanjee and published by Springer Science & Business Media. This book was released on 2011-08-26 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics. A particular aim is to demystify tensors and provide a unified framework for understanding them in the context of classical and quantum physics. Connecting the component formalism prevalent in physics calculations with the abstract but more conceptual formulation found in many mathematical texts, the work will be a welcome addition to the literature on tensors and group theory. Advanced undergraduate and graduate students in physics and applied mathematics will find clarity and insight into the subject in this textbook.

Author : A. Zee
Publisher : Princeton University Press
ISBN 13 : 0691162697
Total Pages : 632 pages
Book Rating : 4.90/5 ( download)

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Download or read book Group Theory in a Nutshell for Physicists written by A. Zee and published by Princeton University Press. This book was released on 2016-03-29 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise, modern textbook on group theory written especially for physicists Although group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces. Yet until now, what has been missing is a modern, accessible, and self-contained textbook on the subject written especially for physicists. Group Theory in a Nutshell for Physicists fills this gap, providing a user-friendly and classroom-tested text that focuses on those aspects of group theory physicists most need to know. From the basic intuitive notion of a group, A. Zee takes readers all the way up to how theories based on gauge groups could unify three of the four fundamental forces. He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study. Provides physicists with a modern and accessible introduction to group theory Covers applications to various areas of physics, including field theory, particle physics, relativity, and much more Topics include finite group and character tables; real, pseudoreal, and complex representations; Weyl, Dirac, and Majorana equations; the expanding universe and group theory; grand unification; and much more The essential textbook for students and an invaluable resource for researchers Features a brief, self-contained treatment of linear algebra An online illustration package is available to professors Solutions manual (available only to professors)

Author : Nyayapathi Venkata Vykuntha Jagannadha Swamy
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.6L/5 ( download)

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Download or read book Group Theory Made Easy for Scientists and Engineers written by Nyayapathi Venkata Vykuntha Jagannadha Swamy and published by John Wiley & Sons. This book was released on 1979 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : K. N. Srinivasa Rao
Publisher : Wiley-Interscience
ISBN 13 : 9780470220610
Total Pages : 400 pages
Book Rating : 4.19/5 ( download)

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Download or read book Linear Algebra and Group Theory for Physicists written by K. N. Srinivasa Rao and published by Wiley-Interscience. This book was released on 1996-11-19 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exposition which provides a solid theoretical foundation as opposed to others devoted primarily to applications. A complete resolution of two-sided and minimal ideals of the Dirac and Kemmer algebras; a unified approach to the Rotation and Lorentz groups; classification of compact simple Lie algebras and Dynkin diagrams are among the topics covered.

Author : Allen Nussbaum
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.62/5 ( download)

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Download or read book Applied Group Theory for Chemists, Physicists and Engineers written by Allen Nussbaum and published by Prentice Hall. This book was released on 1971 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: