Structural geology algorithms :: vectors and tensors /
"State-of-the-art analysis of geological structures has become increasingly quantitative but traditionally, graphical methods are used in teaching. This innovative lab book provides a unified methodology for problem-solving in structural geology using linear algebra and computation. Assuming on...
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Hauptverfasser: | , , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2012.
|
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | "State-of-the-art analysis of geological structures has become increasingly quantitative but traditionally, graphical methods are used in teaching. This innovative lab book provides a unified methodology for problem-solving in structural geology using linear algebra and computation. Assuming only limited mathematical training, the book begins with classic orientation problems and progresses to more fundamental topics of stress, strain and error propagation. It introduces linear algebra methods as the foundation for understanding vectors and tensors, and demonstrates the application of geometry and kinematics in geoscience without requiring students to take a supplementary mathematics course. All algorithms are illustrated with a suite of online MATLAB functions, allowing users to modify the code to solve their own structural problems. Containing 20 worked examples and over 60 exercises, this is the ideal lab book for advanced undergraduates or beginning graduate students. It will also provide professional structural geologists with a valuable reference and refresher for calculations"--Provided by publisher "Structural Geology has been taught, largely unchanged, for the last 50 years or more. The lecture part of most courses introduces students to concepts such as stress and strain, as well as more descriptive material like fault and fold terminology. The lab part of the course usually focuses on practical problem solving, mostly traditional me-thods for describing quantitatively the geometry of structures. While the lecture may introduce advanced concepts such as tensors, the lab commonly trains the student to use a combination of graphical methods like orthographic or spherical projection, as well as a variety of plane trigonometry solutions to various problems. This leads to a disconnect between lecture concepts that require a very precise understanding of coor-dinate systems (e.g., tensors) and lab methods that appear to have no common spatial or mathematical foundation. Students have no chance to understand that, for example, seemingly unconnected constructions like down-plunge projections and Mohr circles share a common mathematical heritage: they are both graphical representations of coordinate transformations"--Provided by publisher |
Beschreibung: | 1 online resource (xi, 289 pages) : illustrations, maps |
Bibliographie: | Includes bibliographical references. |
ISBN: | 9781139207416 1139207415 9781139207379 1139207377 9780511920202 0511920202 9781139207393 1139207393 1139207326 9781139207324 1107229006 9781107229006 1280568518 9781280568510 1139207407 9781139207409 9786613598110 6613598119 1139207350 9781139207355 |
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245 | 1 | 0 | |a Structural geology algorithms : |b vectors and tensors / |c Richard W. Allmendinger, Nestor Cardozo, Donald M. Fisher. |
260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2012. | ||
300 | |a 1 online resource (xi, 289 pages) : |b illustrations, maps | ||
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520 | |a "Structural Geology has been taught, largely unchanged, for the last 50 years or more. The lecture part of most courses introduces students to concepts such as stress and strain, as well as more descriptive material like fault and fold terminology. The lab part of the course usually focuses on practical problem solving, mostly traditional me-thods for describing quantitatively the geometry of structures. While the lecture may introduce advanced concepts such as tensors, the lab commonly trains the student to use a combination of graphical methods like orthographic or spherical projection, as well as a variety of plane trigonometry solutions to various problems. This leads to a disconnect between lecture concepts that require a very precise understanding of coor-dinate systems (e.g., tensors) and lab methods that appear to have no common spatial or mathematical foundation. Students have no chance to understand that, for example, seemingly unconnected constructions like down-plunge projections and Mohr circles share a common mathematical heritage: they are both graphical representations of coordinate transformations"--Provided by publisher | ||
588 | 0 | |a Print version record. | |
504 | |a Includes bibliographical references. | ||
505 | 0 | |a Preface -- 1. Problem solving in structural geology -- 2. Coordinate systems, scalars and vectors -- 3. Transformations of coordinate axes and vectors -- 4. Matrix operations and indicial notation -- 5. Tensors -- 6. Stress -- 7. Introduction to deformation -- 8. Infinitesimal strain -- 9. Finite strain -- 10. Progressive strain histories and kinematics -- 11. Velocity description of deformation -- 12. Error analysis -- References -- Index. | |
546 | |a English. | ||
650 | 0 | |a Geology, Structural |x Mathematics. | |
650 | 0 | |a Rock deformation |x Mathematical models. | |
650 | 6 | |a Roches |x Déformation |x Modèles mathématiques. | |
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650 | 7 | |a Rock deformation |x Mathematical models |2 fast | |
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700 | 1 | |a Cardozo, Nestor, |e author. |0 http://id.loc.gov/authorities/names/n2011049750 | |
700 | 1 | |a Fisher, Donald M., |d 1961- |e author. | |
776 | 0 | 8 | |i Print version: |a Allmendinger, Richard Waldron. |t Structural geology algorithms. |d Cambridge ; New York : Cambridge University Press, 2012 |z 9781107012004 |w (DLC) 2011030685 |w (OCoLC)741549235 |
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Datensatz im Suchindex
DE-BY-FWS_katkey | ZDB-4-EBA-ocn776202553 |
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adam_text | |
any_adam_object | |
author | Allmendinger, Richard Waldron Cardozo, Nestor Fisher, Donald M., 1961- |
author_GND | http://id.loc.gov/authorities/names/n88668292 http://id.loc.gov/authorities/names/n2011049750 |
author_facet | Allmendinger, Richard Waldron Cardozo, Nestor Fisher, Donald M., 1961- |
author_role | aut aut aut |
author_sort | Allmendinger, Richard Waldron |
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building | Verbundindex |
bvnumber | localFWS |
callnumber-first | Q - Science |
callnumber-label | QE601 |
callnumber-raw | QE601.3.M38 A45 2012eb |
callnumber-search | QE601.3.M38 A45 2012eb |
callnumber-sort | QE 3601.3 M38 A45 42012EB |
callnumber-subject | QE - Geology |
collection | ZDB-4-EBA |
contents | Preface -- 1. Problem solving in structural geology -- 2. Coordinate systems, scalars and vectors -- 3. Transformations of coordinate axes and vectors -- 4. Matrix operations and indicial notation -- 5. Tensors -- 6. Stress -- 7. Introduction to deformation -- 8. Infinitesimal strain -- 9. Finite strain -- 10. Progressive strain histories and kinematics -- 11. Velocity description of deformation -- 12. Error analysis -- References -- Index. |
ctrlnum | (OCoLC)776202553 |
dewey-full | 551.801/5181 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 551 - Geology, hydrology, meteorology |
dewey-raw | 551.801/5181 |
dewey-search | 551.801/5181 |
dewey-sort | 3551.801 45181 |
dewey-tens | 550 - Earth sciences |
discipline | Geologie / Paläontologie |
format | Electronic eBook |
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It will also provide professional structural geologists with a valuable reference and refresher for calculations"--Provided by publisher</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">"Structural Geology has been taught, largely unchanged, for the last 50 years or more. The lecture part of most courses introduces students to concepts such as stress and strain, as well as more descriptive material like fault and fold terminology. The lab part of the course usually focuses on practical problem solving, mostly traditional me-thods for describing quantitatively the geometry of structures. While the lecture may introduce advanced concepts such as tensors, the lab commonly trains the student to use a combination of graphical methods like orthographic or spherical projection, as well as a variety of plane trigonometry solutions to various problems. 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genre | Electronic book. Electronic books. |
genre_facet | Electronic book. Electronic books. |
id | ZDB-4-EBA-ocn776202553 |
illustrated | Illustrated |
indexdate | 2024-11-27T13:18:15Z |
institution | BVB |
isbn | 9781139207416 1139207415 9781139207379 1139207377 9780511920202 0511920202 9781139207393 1139207393 1139207326 9781139207324 1107229006 9781107229006 1280568518 9781280568510 1139207407 9781139207409 9786613598110 6613598119 1139207350 9781139207355 |
language | English |
oclc_num | 776202553 |
open_access_boolean | |
owner | MAIN DE-863 DE-BY-FWS |
owner_facet | MAIN DE-863 DE-BY-FWS |
physical | 1 online resource (xi, 289 pages) : illustrations, maps |
psigel | ZDB-4-EBA |
publishDate | 2012 |
publishDateSearch | 2012 |
publishDateSort | 2012 |
publisher | Cambridge University Press, |
record_format | marc |
spelling | Allmendinger, Richard Waldron, author. http://id.loc.gov/authorities/names/n88668292 Structural geology algorithms : vectors and tensors / Richard W. Allmendinger, Nestor Cardozo, Donald M. Fisher. Cambridge ; New York : Cambridge University Press, 2012. 1 online resource (xi, 289 pages) : illustrations, maps text txt rdacontent computer c rdamedia online resource cr rdacarrier data file "State-of-the-art analysis of geological structures has become increasingly quantitative but traditionally, graphical methods are used in teaching. This innovative lab book provides a unified methodology for problem-solving in structural geology using linear algebra and computation. Assuming only limited mathematical training, the book begins with classic orientation problems and progresses to more fundamental topics of stress, strain and error propagation. It introduces linear algebra methods as the foundation for understanding vectors and tensors, and demonstrates the application of geometry and kinematics in geoscience without requiring students to take a supplementary mathematics course. All algorithms are illustrated with a suite of online MATLAB functions, allowing users to modify the code to solve their own structural problems. Containing 20 worked examples and over 60 exercises, this is the ideal lab book for advanced undergraduates or beginning graduate students. It will also provide professional structural geologists with a valuable reference and refresher for calculations"--Provided by publisher "Structural Geology has been taught, largely unchanged, for the last 50 years or more. The lecture part of most courses introduces students to concepts such as stress and strain, as well as more descriptive material like fault and fold terminology. The lab part of the course usually focuses on practical problem solving, mostly traditional me-thods for describing quantitatively the geometry of structures. While the lecture may introduce advanced concepts such as tensors, the lab commonly trains the student to use a combination of graphical methods like orthographic or spherical projection, as well as a variety of plane trigonometry solutions to various problems. This leads to a disconnect between lecture concepts that require a very precise understanding of coor-dinate systems (e.g., tensors) and lab methods that appear to have no common spatial or mathematical foundation. Students have no chance to understand that, for example, seemingly unconnected constructions like down-plunge projections and Mohr circles share a common mathematical heritage: they are both graphical representations of coordinate transformations"--Provided by publisher Print version record. Includes bibliographical references. Preface -- 1. Problem solving in structural geology -- 2. Coordinate systems, scalars and vectors -- 3. Transformations of coordinate axes and vectors -- 4. Matrix operations and indicial notation -- 5. Tensors -- 6. Stress -- 7. Introduction to deformation -- 8. Infinitesimal strain -- 9. Finite strain -- 10. Progressive strain histories and kinematics -- 11. Velocity description of deformation -- 12. Error analysis -- References -- Index. English. Geology, Structural Mathematics. Rock deformation Mathematical models. Roches Déformation Modèles mathématiques. SCIENCE Earth Sciences Geology. bisacsh SCIENCE Earth Sciences Geography. bisacsh Geology, Structural Mathematics fast Rock deformation Mathematical models fast Mathematisches Modell gnd http://d-nb.info/gnd/4114528-8 Strukturgeologie gnd http://d-nb.info/gnd/4225664-1 Electronic book. Electronic books. Cardozo, Nestor, author. http://id.loc.gov/authorities/names/n2011049750 Fisher, Donald M., 1961- author. Print version: Allmendinger, Richard Waldron. Structural geology algorithms. Cambridge ; New York : Cambridge University Press, 2012 9781107012004 (DLC) 2011030685 (OCoLC)741549235 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=415680 Volltext |
spellingShingle | Allmendinger, Richard Waldron Cardozo, Nestor Fisher, Donald M., 1961- Structural geology algorithms : vectors and tensors / Preface -- 1. Problem solving in structural geology -- 2. Coordinate systems, scalars and vectors -- 3. Transformations of coordinate axes and vectors -- 4. Matrix operations and indicial notation -- 5. Tensors -- 6. Stress -- 7. Introduction to deformation -- 8. Infinitesimal strain -- 9. Finite strain -- 10. Progressive strain histories and kinematics -- 11. Velocity description of deformation -- 12. Error analysis -- References -- Index. Geology, Structural Mathematics. Rock deformation Mathematical models. Roches Déformation Modèles mathématiques. SCIENCE Earth Sciences Geology. bisacsh SCIENCE Earth Sciences Geography. bisacsh Geology, Structural Mathematics fast Rock deformation Mathematical models fast Mathematisches Modell gnd http://d-nb.info/gnd/4114528-8 Strukturgeologie gnd http://d-nb.info/gnd/4225664-1 |
subject_GND | http://d-nb.info/gnd/4114528-8 http://d-nb.info/gnd/4225664-1 |
title | Structural geology algorithms : vectors and tensors / |
title_auth | Structural geology algorithms : vectors and tensors / |
title_exact_search | Structural geology algorithms : vectors and tensors / |
title_full | Structural geology algorithms : vectors and tensors / Richard W. Allmendinger, Nestor Cardozo, Donald M. Fisher. |
title_fullStr | Structural geology algorithms : vectors and tensors / Richard W. Allmendinger, Nestor Cardozo, Donald M. Fisher. |
title_full_unstemmed | Structural geology algorithms : vectors and tensors / Richard W. Allmendinger, Nestor Cardozo, Donald M. Fisher. |
title_short | Structural geology algorithms : |
title_sort | structural geology algorithms vectors and tensors |
title_sub | vectors and tensors / |
topic | Geology, Structural Mathematics. Rock deformation Mathematical models. Roches Déformation Modèles mathématiques. SCIENCE Earth Sciences Geology. bisacsh SCIENCE Earth Sciences Geography. bisacsh Geology, Structural Mathematics fast Rock deformation Mathematical models fast Mathematisches Modell gnd http://d-nb.info/gnd/4114528-8 Strukturgeologie gnd http://d-nb.info/gnd/4225664-1 |
topic_facet | Geology, Structural Mathematics. Rock deformation Mathematical models. Roches Déformation Modèles mathématiques. SCIENCE Earth Sciences Geology. SCIENCE Earth Sciences Geography. Geology, Structural Mathematics Rock deformation Mathematical models Mathematisches Modell Strukturgeologie Electronic book. Electronic books. |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=415680 |
work_keys_str_mv | AT allmendingerrichardwaldron structuralgeologyalgorithmsvectorsandtensors AT cardozonestor structuralgeologyalgorithmsvectorsandtensors AT fisherdonaldm structuralgeologyalgorithmsvectorsandtensors |