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1. |
Record Nr. |
UNISA996418198203316 |
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Autore |
Torres del Castillo Gerardo F |
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Titolo |
Differentiable Manifolds [[electronic resource] ] : A Theoretical Physics Approach / / by Gerardo F. Torres del Castillo |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 |
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ISBN |
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Edizione |
[2nd ed. 2020.] |
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Descrizione fisica |
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1 online resource (447 pages) |
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Disciplina |
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Soggetti |
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Differential geometry |
Physics |
Topological groups |
Lie groups |
Mechanics |
Differential Geometry |
Mathematical Methods in Physics |
Topological Groups, Lie Groups |
Classical Mechanics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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1 Manifolds -- 2 Lie Derivatives -- 3 Differential Forms -- 4 Integral Manifolds -- 5 Connections -- 6. Riemannian Manifolds -- 7 Lie Groups -- 8 Hamiltonian Classical Mechanics -- Solutions -- References -- Index. |
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Sommario/riassunto |
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This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The first three chapters introduce the basic concepts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local one-parameter groups of diffeomorphisms, and Lie derivatives. These tools are subsequently employed in the study of differential equations, connections, Riemannian manifolds, Lie groups, and Hamiltonian mechanics. Throughout, the book contains examples, worked out in detail, as well as exercises intended to show |
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how the formalism is applied to actual computations and to emphasize the connections among various areas of mathematics. This second edition greatly expands upon the first by including more examples, additional exercises, and new topics, such as the moment map and fiber bundles. Detailed solutions to every exercise are also provided. Differentiable Manifolds is addressed to advanced undergraduate or beginning graduate students in mathematics or physics. Prerequisites include multivariable calculus, linear algebra, differential equations, and a basic knowledge of analytical mechanics Review of the first edition: This book presents an introduction to differential geometry and the calculus on manifolds with a view on some of its applications in physics. … The present author has succeeded in writing a book which has its own flavor and its own emphasis, which makes it certainly a valuable addition to the literature on the subject. Frans Cantrijn, Mathematical Reviews. |
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2. |
Record Nr. |
UNINA9910779030303321 |
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Titolo |
The psychology of religion and spirituality for clinicians : using research in your practice / / edited by Jamie D. Aten, Kari A. O'Grady, and Everett L. Worthington, Jr |
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Pubbl/distr/stampa |
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New York : , : Routledge, , 2012 |
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ISBN |
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1-135-22436-6 |
1-135-22437-4 |
0-203-86492-1 |
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Descrizione fisica |
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1 online resource (423 p.) |
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Classificazione |
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Altri autori (Persone) |
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AtenJamie D |
O'GradyKari Ann <1969-> |
WorthingtonEverett L. <1946-> |
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Disciplina |
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Soggetti |
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Spirituality - Psychological aspects |
Psychology and religion |
Psychology - Religious aspects |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Cover; The Psychology of Religion and Spiritualityfor Clinicians: Using Research in Your Practice; Copyright; Contents; Editors; Contributors; 1. The Psychology of Religion and Spirituality for Clinicians: An Introduction; 2. Development of Religion and Spirituality Across the Life Span; 3. Developmental and Narrative Perspectives on Religious and Spiritual Identity for Clinicians; 4. Religious and Spiritual Motivations in Clinical Practice; 5. Connection Between Personality and Religion and Spirituality; 6. Client God Images: Theory, Research, and Clinical Practice |
7. Addressing Spiritually Transcendent Experiences in Psychotherapy8. Religious and Spiritual Beliefs in Psychotherapy: A Meaning Perspective; 9. Navigating the Storm: Helping Clients in the Midst of Spiritual Struggles; 10. Processes of Religious and Spiritual Coping; 11. Forgiveness and Reconciliation Within the Psychology of Religion and Spirituality; 12. Religion and Spirituality in Couples and Families; 13. Religion, Spirituality, and Mental Health; 14. Impact of Religion and Spirituality on Physical Health |
15. Bridging the Gap Between Research and Practice in the Psychology of Religion and SpiritualityIndex |
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Sommario/riassunto |
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"The purpose of this edited book is to provide mental health practitioners with a functional understanding of the empirical literature on the psychology of religion and spirituality, while at the same time outlining clinical implications, assessments, and strategies for counseling and psychotherapy. This text is different from others on this topic because it will help to bridge the gap between the psychology of religion and spirituality research and clinical practice. Each chapter covers clinically relevant topics, such as religious and spiritual development, religious and spiritual coping, and mystical and spiritual experiences as well as discuss clinical implications, clinical assessment, and treatment strategies. Diverse religious and spiritual (e.g., Jewish, Islamic, Christian, and Buddhist, etc.) clinical examples are also be integrated throughout the chapters to further connect the psychology of religion and spirituality research with related clinical implications. "-- |
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