The Many Faces of Elastica (Запис № 453968)
[ простий вигляд ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 05727nam a22006615i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-319-61244-7 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20210118154722.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 170819s2017 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783319612447 |
| -- | 978-3-319-61244-7 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-319-61244-7 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QH323.5 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBW |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT003000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBW |
| Source | thema |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 570.285 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Mladenov, Ivaïlo M. |
| Relator term | author. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 14 - TITLE STATEMENT | |
| Title | The Many Faces of Elastica |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Ivaïlo M. Mladenov, Mariana Hadzhilazova. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2017. |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2017. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XV, 212 p. 85 illus., 6 illus. in color. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Forum for Interdisciplinary Mathematics, |
| Міжнародний стандартний серійний номер для назви серії (ISSN) | 2364-6748 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface -- List of Symbols -- Geometry and Variational Calculus -- Plane Curves -- Space Curves -- Surfaces -- Variational Calculus -- Planar Curves Whose Curvature Depends Only on the Distance from a Fixed Point -- The Moving Frame Associated With a Plane Curve -- Integration -- Bernoulli's Lemniscates -- Relationship Between the Lemniscate and the Elastica -- Spirals -- Sturmian Spirals -- Generalized Sturm Spirals -- Serret Curves -- Cassinian Ovals -- Biological Membranes -- Subject Matter and Biological Membranes -- Types of Membranes -- Functions of Biomembranes -- Chemical Composition and Physical Properties of Biomembranes -- Membrane Models and Methods for the Study of Biomembranes -- Model Membrane Structures -- Surface Tension and Equilibrium -- Mechanical Equilibrium -- Tensions and Geometry -- Delaunay Surfaces -- Mylar Balloon and Elastic Curves -- Whewell Parameterization -- Elastic Sturmian Spirals -- Alternative Parametrization of Elastic Spirals -- Zero Tension -- Geometry of the Rotating Liquid Drop -- Introduction -- Geometry and Surface Invariants -- Parametrization via Legendre's Integrals -- Parameterization via Weierstrass's Functions -- Geodesics on the Drop -- Questions for Future Work -- Equations of Equilibrium States of Membranes -- Canham Model -- Key Assumptions in the Model -- Helfrich and Deuling Model -- Ou-Yang and Helfrich Model -- Symmetries of the Shape Equation -- Exact Solutions and Applications -- Unduloids and Nerve Fibers -- Mathematical Model of the Cole Experiment -- Fusion of Membranes -- Cylindrical Membranes -- Beyond Delaunay Surfaces -- Epilogue -- A Elliptical Integrals and Functions -- A.1 Jacobian Elliptic Functions -- A.2 Weierstrassian Elliptic Functions -- References -- Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book provides an introduction to the mathematical aspects of Euler's elastic theory and its application. The approach is rigorous, as well as visually depicted, and can be easily digested. The first few chapters introduce the needed mathematical concepts from geometry and variational calculus. The formal definitions and proofs are always illustrated through complete derivations and concrete examples. In this way, the reader becomes acquainted with Cassinian ovals, Sturmian spirals, co-Lemniscates, the nodary and the undulary, Delaunay surfaces, and their generalizations. The remaining chapters discuss the modeling of membranes, mylar balloons, rotating liquid drops, Hele-Shaw cells, nerve fibers, Cole's experiments, and membrane fusion. The book is geared towards applied mathematicians, physicists and engineers interested in Elastica Theory and its applications. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Terms governing access | Available to subscribing member institutions only. Доступно лише організаціям членам підписки. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Standardized terminology for access restriction | Online access from local network of NaUOA. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Standardized terminology for access restriction | Online access with authorization at https://link.springer.com/ |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Standardized terminology for access restriction | Онлайн-доступ з локальної мережі НаУОА. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Standardized terminology for access restriction | Онлайн доступ з авторизацією на https://link.springer.com/ |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Biomathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Biophysics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Biological physics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mechanics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mechanics, Applied. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical physics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Physiological, Cellular and Medical Topics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M31020 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Biological and Medical Physics, Biophysics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P27008 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Theoretical and Applied Mechanics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/T15001 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical Applications in the Physical Sciences. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M13120 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M35000 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Hadzhilazova, Mariana. |
| Relator term | author. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783319612423 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783319612430 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783319870328 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Forum for Interdisciplinary Mathematics, |
| -- | 2364-6748 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-3-319-61244-7">https://doi.org/10.1007/978-3-319-61244-7</a> |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | ЕКнига |
Немає доступних примірників.