Verfügbarkeit: Mathematics as a laboratory tool

Mathematics as a laboratory tool: dynamics, delays and noise

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Bibliographische Detailangaben
Hauptverfasser:	Milton, John (VerfasserIn), Ohira, Toru 1963- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	New York, NY [u.a.] Springer 2014
Schlagworte:	Neurologie Biowissenschaftlerin Cytologie Mathematik Electronic book text
Online-Zugang:	DE-634 DE-861 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 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

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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.
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spellingShingle	Milton, John Ohira, Toru 1963- Mathematics as a laboratory tool dynamics, delays and noise Neurologie (DE-588)4041888-1 gnd Biowissenschaftlerin (DE-588)4698137-8 gnd Cytologie (DE-588)4070177-3 gnd Mathematik (DE-588)4037944-9 gnd
subject_GND	(DE-588)4041888-1 (DE-588)4698137-8 (DE-588)4070177-3 (DE-588)4037944-9
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	Neurologie (DE-588)4041888-1 gnd Biowissenschaftlerin (DE-588)4698137-8 gnd Cytologie (DE-588)4070177-3 gnd Mathematik (DE-588)4037944-9 gnd
topic_facet	Neurologie Biowissenschaftlerin Cytologie Mathematik
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

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