Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA433.SPR FCT 80975 (Browse shelf) | 1 | Available |
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QA431.ZEM FCT 95906 The classical theory of integral equations | QA432.SPR FCT 81296 An introduction to laplace transforms and Fourier series | QA432.SPR FCT 81730 Vector-valued laplace transforms and Cauchy problems | QA433.SPR FCT 80975 An introduction to tensors and group theory for physicists | QA433.SPR FCT 81055 Finite frames | QA433.SPR FCT 81503 Introduction to tensor analysis and the calculus of moving surfaces | QA433.SPR FCT 82092 Calculus with vectors |
Colocação: Online
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. Part I of the text begins with linear algebraic foundations, follows with the modern component-free definition of tensors, and concludes with applications to classical and quantum physics through the use of tensor products. Part II introduces abstract groups along with matrix Lie groups and Lie algebras, then intertwines this material with that of Part I by introducing representation theory. Exercises and examples are provided throughout for good practice in applying the presented definitions and techniques. Advanced undergraduate and graduate students in physics and applied mathematics will find clarity and insight into the subject in this textbook.
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