Mathematics as a laboratory tool: dynamics, delays and noise
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2014
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461490951 9781461490968 |
| DOI: | 10.1007/978-1-4614-9096-8 |
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Datensatz im Suchindex
| _version_ | 1804152568723537920 |
|---|---|
| adam_text | MATHEMATICS AS A LABORATORY TOOL
/ MILTON, JOHN
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
SCIENCE AND THE MATHEMATICS OF BLACK BOXES
THE MATHEMATICS OF CHANGE
EQUILIBRIA AND STEADY STATES
STABILITY
FIXED–POINTS: CREATION AND DESTRUCTION
TRANSIENT DYNAMICS
FREQUENCY DOMAIN I: BODE PLOTS AND TRANSFER FUNCTIONS
FREQUENCY DOMAIN II: FOURIER ANALYSIS AND POWER SPECTRA
FEEDBACK AND CONTROL SYSTEMS
OSCILLATIONS
BEYOND LIMIT CYCLES
RANDOM PERTURBATIONS
NOISY DYNAMICAL SYSTEMS
RANDOM WALKERS
THERMODYNAMIC PERSPECTIVES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
MATHEMATICS AS A LABORATORY TOOL
/ MILTON, JOHN
: 2014
ABSTRACT / INHALTSTEXT
THE IMPORTANCE OF MATHEMATICS IN THE UNDERGRADUATE BIOLOGY CURRICULUM IS
EVER INCREASING, AS IS THE IMPORTANCE OF BIOLOGY WITHIN THE
UNDERGRADUATE APPLIED MATHEMATICS CURRICULUM. THIS AMBITIOUS FORWARD
THINKING BOOK STRIVES TO MAKE CONCRETE CONNECTIONS BETWEEN THE TWO
FIELDS AT THE UNDERGRADUATE LEVEL, BRINGING IN A WIDE VARIETY OF
MATHEMATICAL METHODS SUCH AS SIGNAL PROCESSING, SYSTEMS
IDENTIFICATION, AND STOCHASTIC DIFFERENTIAL EQUATIONS TO AN
UNDERGRADUATE AUDIENCE INTERESTED IN BIOLOGICAL DYNAMICS. THE
PRESENTATION STRESSES A PRACTICAL HANDS-ON APPROACH: IMPORTANT CONCEPTS
ARE INTRODUCED USING LINEAR FIRST- OR SECOND-ORDER DIFFERENTIAL
EQUATIONS THAT CAN BE SOLVED USING “PENCIL AND PAPER”; NEXT, THESE
ARE EXTENDED TO “REAL WORLD” APPLICATIONS THROUGH THE USE OF
COMPUTER ALGORITHMS WRITTEN IN SCIENTIFIC PYTHON OR SIMILAR
SOFTWARE.THIS BOOK DEVELOPED FROM A COURSE TAUGHT BY PROFESSOR JOHN
MILTON AT THE UNIVERSITY OF CHICAGO AND DEVELOPED AND CONTINUED OVER
MANY YEARS WITH PROFESSOR TORU OHIRA AT THE CLAREMONT COLLEGES. THE TONE
OF THE BOOK IS PEDAGOGICAL, ENGAGING, ACCESSIBLE, WITH LOTS OF EXAMPLES
AND EXERCISES. THE AUTHORS ATTEMPT TO TREAD A LINE BETWEEN ACCESSIBILITY
OF THE TEXT AND MATHEMATICAL EXPOSITION. ONLINE LABORATORIES ARE
PROVIDED AS A TEACHING AID. AT THE BEGINNING OF EACH CHAPTER A NUMBER
OF QUESTIONS ARE POSED TO THE READER, AND THEN ANSWERED AT THE
CONCLUSION OF THE CHAPTER. MILTON AND OHIRA’S BOOK IS AIMED AT
AN UNDERGRADUATE AUDIENCE, MAKES CLOSE TIES TO THE LABORATORY, AND
INCLUDES A RANGE OF BIOLOGICAL APPLICATIONS, FAVORING PHYSIOLOGY. THIS
MAKES IT A UNIQUE CONTRIBUTION TO THE LITERATURE.THIS BOOK WILL BE OF
INTEREST TO QUANTITATIVELY INCLINED UNDERGRADUATE BIOLOGISTS,
BIOPHYSICISTS AND BIOENGINEERS AND IN ADDITION THROUGH ITS FOCUS ON
TECHNIQUES ACTUALLY USED BY BIOLOGISTS, THE AUTHORS HOPE THIS TEXT
WILL HELP SHAPE CURRICULA IN BIOMATHEMATICS EDUCATION GOING FORWARD.
REVIEW: BASED ON THE AUTHORS EXPERIENCE TEACHING BIOLOGY STUDENTS,
THIS BOOK INTRODUCES A WIDE RANGE OF MATHEMATICAL TECHNIQUES IN A LIVELY
AND ENGAGING STYLE. EXAMPLES DRAWN FROM THE AUTHORS EXPERIMENTAL AND
NEUROLOGICAL STUDIES PROVIDE A RICH SOURCE OF MATERIAL FOR COMPUTER
LABORATORIES THAT SOLIDIFY THE CONCEPTS. THE BOOK WILL BE AN
INVALUABLE RESOURCE FOR BIOLOGY STUDENTS AND SCIENTISTS INTERESTED IN
PRACTICAL APPLICATIONS OF MATHEMATICS TO ANALYZE MECHANISMS OF COMPLEX
BIOLOGICAL RHYTHMS. (LEON GLASS, MCGILL UNIVERSITY, 2013)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Milton, John Ohira, Toru 1963- |
| author_GND | (DE-588)1059084139 |
| author_facet | Milton, John Ohira, Toru 1963- |
| author_role | aut aut |
| author_sort | Milton, John |
| author_variant | j m jm t o to |
| building | Verbundindex |
| bvnumber | BV042103520 |
| classification_tum | MAT 000 BIO 110f MAT 022f |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)892087709 (DE-599)DNB1058478885 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Biologie Informatik Mathematik |
| doi_str_mv | 10.1007/978-1-4614-9096-8 |
| format | Electronic eBook |
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| spelling | Milton, John Verfasser aut Mathematics as a laboratory tool dynamics, delays and noise John Milton ; Toru Ohira New York, NY [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Cytologie (DE-588)4070177-3 gnd rswk-swf Neurologie (DE-588)4041888-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Biowissenschaftlerin (DE-588)4698137-8 gnd rswk-swf Electronic book text Mathematik (DE-588)4037944-9 s Biowissenschaftlerin (DE-588)4698137-8 s DE-604 Neurologie (DE-588)4041888-1 s Cytologie (DE-588)4070177-3 s 1\p DE-604 Ohira, Toru 1963- Verfasser (DE-588)1059084139 aut https://doi.org/10.1007/978-1-4614-9096-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027544093&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027544093&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Milton, John Ohira, Toru 1963- Mathematics as a laboratory tool dynamics, delays and noise Cytologie (DE-588)4070177-3 gnd Neurologie (DE-588)4041888-1 gnd Mathematik (DE-588)4037944-9 gnd Biowissenschaftlerin (DE-588)4698137-8 gnd |
| subject_GND | (DE-588)4070177-3 (DE-588)4041888-1 (DE-588)4037944-9 (DE-588)4698137-8 |
| title | Mathematics as a laboratory tool dynamics, delays and noise |
| title_auth | Mathematics as a laboratory tool dynamics, delays and noise |
| title_exact_search | Mathematics as a laboratory tool dynamics, delays and noise |
| title_full | Mathematics as a laboratory tool dynamics, delays and noise John Milton ; Toru Ohira |
| title_fullStr | Mathematics as a laboratory tool dynamics, delays and noise John Milton ; Toru Ohira |
| title_full_unstemmed | Mathematics as a laboratory tool dynamics, delays and noise John Milton ; Toru Ohira |
| title_short | Mathematics as a laboratory tool |
| title_sort | mathematics as a laboratory tool dynamics delays and noise |
| title_sub | dynamics, delays and noise |
| topic | Cytologie (DE-588)4070177-3 gnd Neurologie (DE-588)4041888-1 gnd Mathematik (DE-588)4037944-9 gnd Biowissenschaftlerin (DE-588)4698137-8 gnd |
| topic_facet | Cytologie Neurologie Mathematik Biowissenschaftlerin |
| url | https://doi.org/10.1007/978-1-4614-9096-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027544093&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027544093&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT miltonjohn mathematicsasalaboratorytooldynamicsdelaysandnoise AT ohiratoru mathematicsasalaboratorytooldynamicsdelaysandnoise |