The parsimonious universe: shape and form in the natural world
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY
Copernicus
1996
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| Subjects: | |
| Abstract: | Can one set of basic laws account for both the recurring themes and the infinite variety of nature's designs? When it comes to shape and form, does nature simply proceed in the easiest, most efficient way? Complete answers to these questions are likely never to be discovered. Still, down through the ages, the investigation of symmetry and regularity in nature has yielded some fascinating and surprising insights. Out of this inquiry comes a specific branch of mathematics - the calculus of variations - which explores questions of optimization: Is the igloo the optimal housing form for minimizing heat loss? Do bees use the least possible amount of wax when building their hives? In The Parsimonious Universe, Stefan Hildebrandt and Anthony Tromba invite readers to join the search for the mathematical underpinnings of natural shapes and form. Moving from ancient times to the nuclear age, the book looks at centuries of evidence that the physical world adheres to the principle of the economy of means - meaning that nature achieves efficiency by being rather stingy with the energy it expends. On almost every page can be found historical discussions, striking color illustrations, and examples ranging from atomic nuclei to soap bubbles to spirals and fractals. Without using technical language, Hildebrandt and Tromba open up an intriguing avenue of scientific inquiry to an uninitiated readership, showing what can be discovered when mathematics is used to investigate the natural world. |
| Physical Description: | XIII, 330 S. zahlr. Ill. und graph. Darst. |
| ISBN: | 0387979913 |
Staff View
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| 520 | 3 | |a Can one set of basic laws account for both the recurring themes and the infinite variety of nature's designs? When it comes to shape and form, does nature simply proceed in the easiest, most efficient way? Complete answers to these questions are likely never to be discovered. Still, down through the ages, the investigation of symmetry and regularity in nature has yielded some fascinating and surprising insights. Out of this inquiry comes a specific branch of mathematics - the calculus of variations - which explores questions of optimization: Is the igloo the optimal housing form for minimizing heat loss? Do bees use the least possible amount of wax when building their hives? In The Parsimonious Universe, Stefan Hildebrandt and Anthony Tromba invite readers to join the search for the mathematical underpinnings of natural shapes and form. Moving from ancient times to the nuclear age, the book looks at centuries of evidence that the physical world adheres to the principle of the economy of means - meaning that nature achieves efficiency by being rather stingy with the energy it expends. On almost every page can be found historical discussions, striking color illustrations, and examples ranging from atomic nuclei to soap bubbles to spirals and fractals. Without using technical language, Hildebrandt and Tromba open up an intriguing avenue of scientific inquiry to an uninitiated readership, showing what can be discovered when mathematics is used to investigate the natural world. | |
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Record in the Search Index
| DE-BY-TUM_call_number | 0102 MAT 010f 2001 A 18133 0202 MAT 010f 2002 A 896 |
|---|---|
| DE-BY-TUM_katkey | 765214 |
| DE-BY-TUM_location | 01 02 |
| DE-BY-TUM_media_number | 040020481716 040020604088 |
| _version_ | 1821938027713265664 |
| any_adam_object | |
| author | Hildebrandt, Stefan 1936-2015 Tromba, Anthony J. 1943- |
| author_GND | (DE-588)119219050 (DE-588)142684996 |
| author_facet | Hildebrandt, Stefan 1936-2015 Tromba, Anthony J. 1943- |
| author_role | aut aut |
| author_sort | Hildebrandt, Stefan 1936-2015 |
| author_variant | s h sh a j t aj ajt |
| building | Verbundindex |
| bvnumber | BV010947880 |
| callnumber-first | B - Philosophy, Psychology, Religion |
| callnumber-label | BH301 |
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| callnumber-search | BH301.N3 |
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| callnumber-subject | BH - Aesthetics |
| classification_rvk | CC 6300 QH 400 SK 380 |
| classification_tum | MAT 533f MAT 490f |
| ctrlnum | (OCoLC)32548691 (DE-599)BVBBV010947880 |
| dewey-full | 117 |
| dewey-hundreds | 100 - Philosophy & psychology |
| dewey-ones | 117 - Structure |
| dewey-raw | 117 |
| dewey-search | 117 |
| dewey-sort | 3117 |
| dewey-tens | 110 - Metaphysics |
| discipline | Mathematik Philosophie Wirtschaftswissenschaften |
| format | Book |
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| genre | (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV010947880 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:03:38Z |
| institution | BVB |
| isbn | 0387979913 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007321997 |
| oclc_num | 32548691 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-12 DE-92 DE-824 DE-29 DE-19 DE-BY-UBM DE-83 DE-11 |
| owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-12 DE-92 DE-824 DE-29 DE-19 DE-BY-UBM DE-83 DE-11 |
| physical | XIII, 330 S. zahlr. Ill. und graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Copernicus |
| record_format | marc |
| spellingShingle | Hildebrandt, Stefan 1936-2015 Tromba, Anthony J. 1943- The parsimonious universe shape and form in the natural world Filosofische aspecten gtt Natuur gtt Vorm gtt Wiskunde gtt Mathematik Philosophie Calculus of variations Form (Philosophy) Motion Nature (Aesthetics) Bewegung (DE-588)4006311-2 gnd Geometrie (DE-588)4020236-7 gnd Variationsrechnung (DE-588)4062355-5 gnd Natur (DE-588)4041358-5 gnd Populärwissenschaftliche Darstellung (DE-588)4140344-7 gnd Prinzip der kleinsten Wirkung (DE-588)4229778-3 gnd Gestalt (DE-588)4157135-6 gnd Geschichte (DE-588)4020517-4 gnd Minimalfläche (DE-588)4127814-8 gnd Ästhetik (DE-588)4000626-8 gnd |
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| title | The parsimonious universe shape and form in the natural world |
| title_auth | The parsimonious universe shape and form in the natural world |
| title_exact_search | The parsimonious universe shape and form in the natural world |
| title_full | The parsimonious universe shape and form in the natural world Stefan Hildebrandt ; Anthony Tromba |
| title_fullStr | The parsimonious universe shape and form in the natural world Stefan Hildebrandt ; Anthony Tromba |
| title_full_unstemmed | The parsimonious universe shape and form in the natural world Stefan Hildebrandt ; Anthony Tromba |
| title_short | The parsimonious universe |
| title_sort | the parsimonious universe shape and form in the natural world |
| title_sub | shape and form in the natural world |
| topic | Filosofische aspecten gtt Natuur gtt Vorm gtt Wiskunde gtt Mathematik Philosophie Calculus of variations Form (Philosophy) Motion Nature (Aesthetics) Bewegung (DE-588)4006311-2 gnd Geometrie (DE-588)4020236-7 gnd Variationsrechnung (DE-588)4062355-5 gnd Natur (DE-588)4041358-5 gnd Populärwissenschaftliche Darstellung (DE-588)4140344-7 gnd Prinzip der kleinsten Wirkung (DE-588)4229778-3 gnd Gestalt (DE-588)4157135-6 gnd Geschichte (DE-588)4020517-4 gnd Minimalfläche (DE-588)4127814-8 gnd Ästhetik (DE-588)4000626-8 gnd |
| topic_facet | Filosofische aspecten Natuur Vorm Wiskunde Mathematik Philosophie Calculus of variations Form (Philosophy) Motion Nature (Aesthetics) Bewegung Geometrie Variationsrechnung Natur Populärwissenschaftliche Darstellung Prinzip der kleinsten Wirkung Gestalt Geschichte Minimalfläche Ästhetik Einführung |
| work_keys_str_mv | AT hildebrandtstefan theparsimoniousuniverseshapeandforminthenaturalworld AT trombaanthonyj theparsimoniousuniverseshapeandforminthenaturalworld |
Order paper/chapter scan
Branch Library Mathematics & Informatics
| Call Number: |
0102 MAT 010f 2001 A 18133
Floor plan |
|---|---|
| Copy 1 | Available for loan On Shelf |
Branch Library Physics
| Call Number: |
0202 MAT 010f 2002 A 896
Floor plan |
|---|---|
| Copy 1 | Available for loan On Shelf |