Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Mathematical mechanics (Record no. 403569)

000 -LEADER
fixed length control field 06090cam a2200589Ka 4500
001 - CONTROL NUMBER
control field ocn756782686
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140120114815.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m o d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu---unuuu
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 111012s2011 si a ob 001 0 eng d
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2011282957
040 ## - CATALOGING SOURCE
Original cataloging agency
Transcribing agency N$T
Modifying agency E7B
-- YDXCP
-- I9W
-- UIU
-- OCLCQ
-- DEBSZ
-- OCLCQ
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9789814289702
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9814289701
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789814289719 (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 981428971X (electronic bk.)
029 1# - (OCLC)
OCLC library identifier HEBIS
System control number 299830322
029 1# - (OCLC)
OCLC library identifier NZ1
System control number 14256938
029 1# - (OCLC)
OCLC library identifier DEBSZ
System control number 372809901
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)756782686
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA805
Item number .C66 2011eb
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI
Subject category code subdivision 041000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI
Subject category code subdivision 096000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 531.01/515
Edition number 23
049 ## - LOCAL HOLDINGS (OCLC)
Holding library ISIA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Cooper, Ellis D.
245 10 - TITLE STATEMENT
Title Mathematical mechanics
Medium [electronic resource] :
Remainder of title from particle to muscle /
Statement of responsibility, etc Ellis D. Cooper.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Singapore ;
-- Hackensack, NJ :
Name of publisher, distributor, etc World Scientific,
Date of publication, distribution, etc c2011.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xv, 373 p.) :
Other physical details ill. (some col.).
490 1# - SERIES STATEMENT
Series statement World Scientific series on nonlinear science. Series A ;
Volume number/sequential designation v. 77
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (p. 353-362) and index
588 ## -
-- Description based on print version record.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Introduction. 1.1. Why would I have valued this book in high school? 1.2. Who else would value this book? 1.3. Physics & biology. 1.4. Motivation. 1.5. The principle of least thought. 1.6. Measurement. 1.7. Conceptual blending. 1.8. Mental model of muscle contraction. 1.9. Organization. 1.10. What is missing? 1.11. What is original? -- 2. Ground & foundation of mathematics. 2.1. Introduction. 2.2. Ground : Discourse & surface. 2.3. Foundation : Category & functor. 2.4. Examples of categories & functors. 2.5. Constructions -- 3. Calculus as an algebra of infinitesimals. 3.1. Real & hyperreal. 3.2. Variable. 3.3. Right, left & two-sided limit. 3.4. Continuity. 3.5. Differentiable, derivative & differential. 3.6. Curve sketching reminder. 3.7. Integrability. 3.8. Algebraic rules for calculus. 3.9. Three Gaussian integrals. 3.10. Three differential equations. 3.11. Legendre transform. 3.12. Lagrange multiplier -- 4. Algebra of vectors. 4.1. Introduction. 4.2. When is an array a matrix? 4.3. List algebra. 4.4. Table algebra. 4.5. Vector algebra -- 5. Particle universe. 5.1. Conservation of energy & Newton's second law. 5.2. Lagrange's equations & Newton's second law. 5.3. The invariance of Lagrange's equations. 5.4. Hamilton's principle. 5.5. Hamilton's equations. 5.6. A theorem of George Stokes. 5.7. A theorem on a series of impulsive forces. 5.8. Langevin's trick. 5.9. An argument due to Albert Einstein. 5.10. An argument due to Paul Langevin -- 6. Introduction to timing machinery. 6.1. Blending time & state machine. 6.2. The basic oscillator. 6.3. Timing machine variable. 6.4. The robust low-pass filter. 6.5. Frequency multiplier & differential equation. 6.6. Probabilistic timing machine. 6.7. Chemical reaction system simulation. 6.8. Computer simulation -- 7. Stochastic timing machinery. 7.1. Introduction. 7.2. Examples. 7.3. Zero-order chemical reaction -- 8. Algebraic thermodynamics. 8.1. Introduction. 8.2. Chemical element, compound & mixture. 8.3. Universe. 8.4. Reservoir & capacity. 8.5. Equilibrium & equipotentiality. 8.6. Entropy & energy. 8.7. Fundamental equation. 8.8. Conduction & resistance -- 9. Clausius, Gibbs & Duhem. 9.1. Clausius inequality. 9.2. Gibbs-Duhem equation -- 10. Experiments & measurements. 10.1. Experiments. 10.2. Measurements -- 11. Chemical reaction. 11.1. Chemical reaction extent, completion & realization. 11.2. Chemical equilibrium. 11.3. Chemical formations & transformations. 11.4. Monoidal category & monoidal functor. 11.5. Hess' monoidal functor -- 12. Muscle contraction. 12.1. Muscle contraction : chronology. 12.2. Conclusion.
520 ## - SUMMARY, ETC.
Summary, etc This unprecedented book offers all the details of the mathematical mechanics underlying modern modeling of skeletal muscle contraction. The aim is to provide an integrated vision of mathematics, physics, chemistry and biology for this one understanding. The method is to take advantage of latest mathematical technologies - Eilenberg-Mac Lane category theory, Robinson infinitesimal calculus and Kolmogorov probability theory - to explicate Particle Mechanics, The Theory of Substances (categorical thermodynamics), and computer simulation using a diagram-based parallel programming language (stochastic timing machinery). Proofs rely almost entirely on algebraic calculations without set theory. Metaphors and analogies, and distinctions between representational pictures, mental model drawings, and mathematical diagrams are offered. AP level high school calculus students, high school science teachers, undergraduates and graduate college students, and researchers in mathematics, physics, chemistry, and biology may use this integrated publication to broaden their perspective on science, and to experience the precision that mathematical mechanics brings to understanding the molecular mechanism vital for nearly all animal behavior.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mechanics, Analytic.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Dynamics of a particle
General subdivision Mathematical models.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Muscle contraction
General subdivision Mathematical models.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical physics.
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element SCIENCE / Mechanics / General
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element SCIENCE / Mechanics / Solids
Source of heading or term bisacsh
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
655 #0 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
Main entry heading Cooper, Ellis D.
Title Mathematical mechanics.
Place, publisher, and date of publication Singapore ; Hackensack, NJ : World Scientific, c2011
International Standard Book Number 9789814289702
Record control number (OCoLC)435420517
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title World Scientific series on nonlinear science.
Number of part/section of a work Series A,
Name of part/section of a work Monographs and treatises ;
Volume number/sequential designation v. 77.
856 40 - ELECTRONIC LOCATION AND ACCESS
Materials specified EBSCOhost
Uniform Resource Identifier <a href="http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=389650">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=389650</a>
938 ## -
-- ebrary
-- EBRY
-- ebr10493536
938 ## -
-- YBP Library Services
-- YANK
-- 7135050
938 ## -
-- EBSCOhost
-- EBSC
-- 389650
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
994 ## -
-- 92
-- INISI

No items available.

Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in


Visitor Counter