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• Using flipped classroom settings to shift the focus of a general chemistry course from topic knowledge to learning and problem solving skills : a tale of students enjoying the class they were expecting to hate
• Combining pre-class preparation with collaborative in-class activities to improve student engagement and success in general chemistry
• Using clicker-based group work facilitated by a modified peer instruction process in a highly successful flipped general chemistry classroom
• Maximizing learning efficiency in general chemistry
• Flipping general chemistry in small classes : students' perception and success
• Active learning in the large lecture hall format
• Large-scale, team-based curriculum transformation and student engagement in general chemistry I and II
• Active learning in hybrid-online general chemistry
• A course transformation to support first-year chemistry education for engineering students
• Flipped classroom learning environments in general chemistryv: what is the impact on student performance in organic chemistry?

• Introduction.- Analysis of Herbicides on a Single C30 Bead via the Platform Combined Microfluidic Device with ESI-Q-TOF-MS.- Monitoring of Glutamate Release from Neuronal Cell Based on the Analysis Platform Combining the Microfluidic Devices with ESI-Q-TOF-MS.- Microfluidic Device with Integrated Porous Membrane for Cell Sorting and Separation.- Cell Co-culture and Signaling Analysis Based on Microfluidic Devices Coupling with ESI-Q-TOF-MS.
• (source: Nielsen Book Data)

This thesis describes a new approach for cell analysis by the rapid developing microfluidic technology. The nominee has made great contributions to develop a new analysis platform which combined microfluidic devices with mass spectrometry to determine the trace compounds secreted by cells. Based on this analysis platform, she studied the specific cell secreting behaviors under controlled microenvironment, of which the secretion compounds were qualified and semi-quantified by mass spectrometry. A novel cell sorting device integrated homogenous porous PDMS membrane was invented to classify cells from real samples based on the size difference. The nominee further studied the signal transmission between different cells, and the signal chemicals were qualitative and quantitative monitored by the analysis platform. This indicates the potential significant application of the new cell analysis platform in medicine screening and early diagnosis.
(source: Nielsen Book Data)

• Using Flipped Classroom Settings to Shift the Focus of a General Chemistry Course from Topic Knowledge to Learning and Problem-Solving Skills: A Tale of Students Enjoying the Class They Were Expecting to Hate / Ramella, Daniele, College of Science and Technology-Department of Chemistry, Temple University, 1901 North 13th Street, Philadelphia, Pennsylvania 19122, United States; Brock, Benjamin E., CAT-Center for Advancement of Teaching, Temple University, Philadelphia, Pennsylvania 19122, United States, School of Education, Temple University, Philadelphia, Pennsylvania 19122, United States; Velopolcek, Maria K., Department of Chemistry, Duke University, Durham, North Carolina 27701, United States; Winters, Kyle P., School of Dentistry, Temple University, Philadelphia, Pennsylvania 19140, United States / http://dx.doi.org/10.1021/bk-2019-1322.ch001
• Combining Pre-class Preparation with Collaborative In-Class Activities to Improve Student Engagement and Success in General Chemistry / Blaser, Mark / http://dx.doi.org/10.1021/bk-2019-1322.ch002
• Using Clicker-Based Group Work Facilitated by a Modified Peer Instruction Process in a Highly Successful Flipped General Chemistry Classroom / Pollozi, Shejla, Department of Chemistry, Lehman College of the City University of New York, 250 Bedford Park Boulevard West, Bronx, New York 10468, United States, Ph.D. Program in Chemistry, The Graduate Center of the City University of New York, New York, New York 10016, United States; Haddad, Ibrahim, Department of Chemistry, Lehman College of the City University of New York, 250 Bedford Park Boulevard West, Bronx, New York 10468, United States; Tyagi, Aanchal, Department of Chemistry, Lehman College of the City University of New York, 250 Bedford Park Boulevard West, Bronx, New York 10468, United States; Mills, Pamela, Department of Chemistry, Lehman College of the City University of New York, 250 Bedford Park Boulevard West, Bronx, New York 10468, United States, Ph.D. Program in Chemistry, The Graduate Center of the City University of New York, New York, New York 10016, United States; McGregor, Donna, Department of Chemistry, Lehman College of the City University of New York, 250 Bedford Park Boulevard West, Bronx, New York 10468, United States, Ph.D. Program in Chemistry, The Graduate Center of the City University of New York, New York, New York 10016, United States / http://dx.doi.org/10.1021/bk-2019-1322.ch003
• Maximizing Learning Efficiency in General Chemistry / Cracolice, Mark S., Department of Chemistry & Biochemistry, University of Montana, Missoula, Montana 59812, United States; Queen, Matt, Department of Biological and Physical Sciences, Montana State University Billings, 1500 University Drive, Billings, Montana 59101, United States / http://dx.doi.org/10.1021/bk-2019-1322.ch004
• Flipping General Chemistry in Small Classes: Students' Perception and Success / Hutchinson-Anderson, Kelly M. / http://dx.doi.org/10.1021/bk-2019-1322.ch005
• Active Learning in the Large Lecture Hall Format / LaBrake, Cynthia / http://dx.doi.org/10.1021/bk-2019-1322.ch006
• Large-Scale, Team-Based Curriculum Transformation and Student Engagement in General Chemistry I and II / Lamont, Liana B., Department of Chemistry, University of Wisconsin-Madison, 1101 University Avenue, Madison, Wisconsin 53706, United States; Stoll, Lindy K., Department of Chemistry, University of Wisconsin-Madison, 1101 University Avenue, Madison, Wisconsin 53706, United States; Pesavento, Theresa M., Department of Academic Technology, University of Wisconsin-Madison, 1305 Linden Drive, Madison, Wisconsin 53706, United States; Bain, Rachel L., Department of Chemistry, University of Wisconsin-Madison, 1101 University Avenue, Madison, Wisconsin 53706, United States; Landis, Clark R., Department of Chemistry, University of Wisconsin-Madison, 1101 University Avenue, Madison, Wisconsin 53706, United States; Sibert, Edwin L., Department of Chemistry, University of Wisconsin-Madison, 1101 University Avenue, Madison, Wisconsin 53706, United States / http://dx.doi.org/10.1021/bk-2019-1322.ch007
• Active Learning in Hybrid-Online General Chemistry / Miller, Dionne A. / http://dx.doi.org/10.1021/bk-2019-1322.ch008
• A Course Transformation to Support First-Year Chemistry Education for Engineering Students / Addison, Christopher J.; Núñez, José Rodríguez / http://dx.doi.org/10.1021/bk-2019-1322.ch009
• Flipped Classroom Learning Environments in General Chemistry: What Is the Impact on Student Performance in Organic Chemistry? / Eichler, Jack F., Department of Chemistry, University of California, Riverside, Riverside, California 92521, United States; Peeples, Junelyn, Department of Chemistry, University of California, Riverside, Riverside, California 92521, United States / http://dx.doi.org/10.1021/bk-2019-1322.ch010
• Editors' Biographies / http://dx.doi.org/10.1021/bk-2019-1322.ot001

• A high performance matrix multiplication algorithm for MPPs.- Iterative moment method for electromagnetic transients in grounding systems on CRAY T3D.- Analysis of crystalline solids by means of a parallel FEM method.- Parallelization strategies for Tree N-body codes.- Numerical solution of stochastic differential equations on transputer network.- Development of a stencil compiler for one-dimensional convolution operators on the CM-5.- Automatic parallelization of the AVL FIRE benchmark for a distributed-memory system.- 2-D cellular automata and short range molecular dynamics programs for simulations on networked workstations and parallel computers.- Pablo-based performance monitoring tool for PVM applications.- Linear algebra computation on parallel machines.- A neural classifier for radar images.- ScaLAPACK: A portable linear algebra library for distributed memory computers - Design issues and performance.- A proposal for a set of parallel basic linear algebra subprograms.- Parallel implementation of a Lagrangian stochastic particle model of turbulent dispersion in fluids.- Reduction of a regular matrix pair (A, B) to block Hessenberg-triangular form.- Parallelization of algorithms for neural networks.- Paradigms for the parallelization of Branch&Bound algorithms.- Three-dimensional version of the Danish Eulerian Model.- A proposal for a Fortran 90 interface for LAPACK.- ScaLAPACK tutorial.- Highly parallel concentrated heterogeneous computing.- Adaptive polynomial preconditioning for the conjugate gradient algorithm.- The IBM parallel engineering and scientific subroutine library.- Some preliminary experiences with sparse BLAS in parallel iterative solvers.- Load balancing in a Network Flow Optimization code.- User-level VSM optimization and its application.- Benchmarking the cache memory effect.- Efficient Jacobi algorithms on multicomputers.- Front tracking: A parallelized approach for internal boundaries and interfaces.- Program generation techniques for the development and maintenance of numerical weather forecast Grid models.- High performance computational chemistry: NWChem and fully distributed parallel applications.- Parallel ab-initio molecular dynamics.- Dynamic domain decomposition and load balancing for parallel simulations of long-chained molecules.- Concurrency in feature analysis.- A parallel iterative solver for almost block-diagonal linear systems.- Distributed general matrix multiply and add for a 2D mesh processor network.- Distributed and parallel computing of short-range molecular dynamics.- Lattice field theory in a parallel environment.- Parallel time independent quantum calculations of atom diatom reactivity.- Parallel oil reservoir simulation.- Formal specification of multicomputers.- Multi-million particle molecular dynamics on MPPs.- Wave propagation in urban microcells: a massively parallel approach using the TLM method.- The NAG Numerical PVM Library.- Cellular automata modeling of snow transport by wind.- Parallel algorithm for mapping of parallel programs into pyramidal multiprocessor.- Data-parallel molecular dynamics with neighbor-lists.- Visualizing astrophysical 3D MHD turbulence.- A parallel sparse QR-factorization algorithm.- Decomposing linear programs for parallel solution.- A parallel computation of the Navier-Stokes equation for the simulation of free surface flows with the volume of fluid method.- Improving the performance of parallel triangularization of a sparse matrix using a reconfigurable multicomputer.- Comparison of two image-space subdivision algorithms for Direct Volume Rendering on distributed-memory multicomputers.- Communication harnesses for transputer systems with tree structure and cube structure.- A thorough investigation of the projector quantum Monte Carlo method using MPP technologies.- Distributed simulation of a set of elastic macro objects.- Parallelization of ab initio molecular dynamics method.- Parallel computations with large atmospheric models.
• (source: Nielsen Book Data)

This book presents the refereed proceedings of the Second International Workshop on Applied Parallel Computing in Physics, Chemistry and Engineering Science, PARA'95, held in Lyngby, Denmark, in August 1995. The 60 revised full papers included have been contributed by physicists, chemists, and engineers, as well as by computer scientists and mathematicians, and document the successful cooperation of different scientific communities in the booming area of computational science and high performance computing. Many widely-used numerical algorithms and their applications on parallel computers are treated in detail.
(source: Nielsen Book Data)

• Trying on Teaching: Transforming STEM Classrooms with a Learning Assistant Program / Schick, Carolyn P. / http://dx.doi.org/10.1021/bk-2018-1280.ch001
• Synergistic Efforts To Support Early STEM Students / Owens, Kalyn S., Chemistry Department, North Seattle College, 9600 College Way N., Seattle, WashingtonA 98103, United States; Murkowski, Ann J., Biology Department, North Seattle College, 9600 College Way N., Seattle, Washington 98103, United States / http://dx.doi.org/10.1021/bk-2018-1280.ch002
• Improving Student Outcomes with Supplemental Instruction / Flaris, Vicki / http://dx.doi.org/10.1021/bk-2018-1280.ch003
• Using Strategic Collaborations To Expand Instrumentation Access at Two-Year Colleges / Stromberg, Christopher J., Department of Chemistry and Physics, Hood College, 401 Rosemont Ave., Frederick, Maryland 21701, United States; Ellis, Debra, Department of Science, Frederick Community College, 7932 Opossumtown Pike, Frederick Maryland 21702, United States; Wood, Perry A. D., Department of Science, Frederick Community College, 7932 Opossumtown Pike, Frederick Maryland 21702, United States; Bennett, Kevin H., Department of Chemistry and Physics, Hood College, 401 Rosemont Ave., Frederick, Maryland 21701, United States; Patterson, Garth E., Department of Science, Mount St. Mary's University, 16300 Old Emmitsburg Road, Emmitsburg, Maryland 21727, United States; Bradley, Christopher, Department of Science, Mount St. Mary's University, 16300 Old Emmitsburg Road, Emmitsburg, Maryland 21727, United States / http://dx.doi.org/10.1021/bk-2018-1280.ch004
• Development of a Pre-Professional Program at a Rural Community College / Burchett, Shayna; Hayes, Jack Lee / http://dx.doi.org/10.1021/bk-2018-1280.ch005
• Student Affective State: Implications for Prerequisites and Instruction in Introductory Chemistry Classes / Ross, J.; Lai, C.; Nuñez, L. / http://dx.doi.org/10.1021/bk-2018-1280.ch006
• In-Class Worksheets for Student Engagement and Success / Gyanwali, Gaumani / http://dx.doi.org/10.1021/bk-2018-1280.ch007
• A Tool Box Approach for Student Success in Chemistry / Alexander, Janice / http://dx.doi.org/10.1021/bk-2018-1280.ch008
• Identifying, Recruiting, and Motivating Undergraduate Student Researchers at a Community College / Schauer, Douglas J. / http://dx.doi.org/10.1021/bk-2018-1280.ch009
• Honors Modules To Infuse Research into the Chemistry Curriculum / Palmer, Alycia M.; Anna, Laura J. / http://dx.doi.org/10.1021/bk-2018-1280.ch010
• College Students Get Excited about Whiskey: The Pseudo-Accidental Creation of a Thriving Independent Student Research Program at a Two-Year Community College / Silvestri, Regan / http://dx.doi.org/10.1021/bk-2018-1280.ch011
• What To Know Before You Write Your First NSF Proposal / Higgins, Thomas B. / http://dx.doi.org/10.1021/bk-2018-1280.ch012
• Editors' Biographies / http://dx.doi.org/10.1021/bk-2018-1280.ot001

Nearly half of all undergraduate students enroll in a two-year college, and many STEM students take their introductory chemistry courses at a two-year college. The educational pathway of these students is often complex and nonlinear towards completion of a certificate, degree and/or transfer to a four-year program. These non-traditional pathways present distinct challenges in and out of the classroom for the educators who are trying to serve this important and diverse group of students. This book provides some insight into the current state of chemistry education reform at two-year colleges, provides specific ways to address some of the challenges of educating two-year college students, and reports strategies for success in chemistry at the two-year college. The contributing authors are chemical educators who have presented at one or more of our Strategies Promoting Success of Two-year College Students symposia that have been held at the Spring ACS National meetings since 2015.
(source: Nielsen Book Data)

• 1 Mathematical Thinking
• 2. Numbers 3 Algebra 4 Trigonometry 5 Analytic Geometry 6 Calculus 7 Series and Integrals 8 Differential Equations 9 Matrix Algebra 10 Multivariable Calculus 11 Vector Analysis 12 Special Functions 13 Complex Variables.
• (source: Nielsen Book Data)

This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) that is needed to succeed in science courses. The focus is on math actually used in physics, chemistry, and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the student's ability to think in mathematical terms and to apply quantitative methods to scientific problems. Detailed illustrations and links to reference material online help further comprehension. The second edition features new problems and illustrations and features expanded chapters on matrix algebra and differential equations.
(source: Nielsen Book Data)

• Frontiers in Molecular Design and Chemical Information Science: Introduction / Bienstock, Rachelle J. / http://dx.doi.org/10.1021/bk-2016-1222.ch001
• Complexity and Heterogeneity of Data for Chemical Information Science / Bajorath, Jürgen / http://dx.doi.org/10.1021/bk-2016-1222.ch002
• Exploring Molecular Promiscuity from a Ligand and Target Perspective / Hu, Ye; Bajorath, Jürgen / http://dx.doi.org/10.1021/bk-2016-1222.ch003
• Network Variants for Analyzing Target-Ligand Interactions / Hu, Ye; Bajorath, Jürgen / http://dx.doi.org/10.1021/bk-2016-1222.ch004
• Going Beyond R-Group Tables / Shanmugasundaram, Veerabahu; Zhang, Liying; Poss, Christopher; Milbank, Jared; Starr, Jeremy / http://dx.doi.org/10.1021/bk-2016-1222.ch005
• Molecular Similarity Approaches in Chemoinformatics: Early History and Literature Status / Willett, Peter / http://dx.doi.org/10.1021/bk-2016-1222.ch006
• Non-Specificity of Drug-Target Interactions – Consequences for Drug Discovery / Maggiora, Gerald; Gokhale, Vijay / http://dx.doi.org/10.1021/bk-2016-1222.ch007
• Coping with Complexity in Ligand-Based De Novo Design / Schneider, Gisbert, Swiss Federal Institute of Technology (ETH), Department of Chemistry and Applied Biosciences, Vladimir-Prelog-Weg 4, CH-8093 Zurich, Switzerland; Schneider, Petra, Swiss Federal Institute of Technology (ETH), Department of Chemistry and Applied Biosciences, Vladimir-Prelog-Weg 4, CH-8093 Zurich, Switzerland, inSili.com LLC, Segantinisteig 3, CH-8049 Zurich, Switzerland / http://dx.doi.org/10.1021/bk-2016-1222.ch008
• Soft Sensors: Chemoinformatic Model for Efficient Control and Operation in Chemical Plants / Kaneko, Hiromasa; Funatsu, Kimito / http://dx.doi.org/10.1021/bk-2016-1222.ch009
• Data Visualization & Clustering: Generative Topographic Mapping Similarity Assessment Allied to Graph Theory Clustering / Escobar, Matheus de Souza; Kaneko, Hiromasa; Funatsu, Kimito / http://dx.doi.org/10.1021/bk-2016-1222.ch010
• Generative Topographic Mapping Approach to Chemical Space Analysis / Gaspar, Héléna A., Laboratoire de Chemoinformatique, UMR 7140, Université de Strasbourg, 1 rue Blaise Pascal, Strasbourg 67000, France; Sidorov, Pavel, Laboratoire de Chemoinformatique, UMR 7140, Université de Strasbourg, 1 rue Blaise Pascal, Strasbourg 67000, France, Laboratory of Chemoinformatics, Butlerov Institute of Chemistry, Kazan Federal University, Kazan, Russia; Horvath, Dragos, Laboratoire de Chemoinformatique, UMR 7140, Université de Strasbourg, 1 rue Blaise Pascal, Strasbourg 67000, France; Baskin, Igor I., Faculty of Physics, M.V. Lomonosov Moscow State University, Leninskie Gory, Moscow 119991, Russia, Laboratory of Chemoinformatics, Butlerov Institute of Chemistry, Kazan Federal University, Kazan, Russia; Marcou, Gilles, Laboratoire de Chemoinformatique, UMR 7140, Université de Strasbourg, 1 rue Blaise Pascal, Strasbourg 67000, France; Varnek, Alexandre, Laboratoire de Chemoinformatique, UMR 7140, Université de Strasbourg, 1 rue Blaise Pascal, Strasbourg 67000, France, Laboratory of Chemoinformatics, Butlerov Institute of Chemistry, Kazan Federal University, Kazan, Russia / http://dx.doi.org/10.1021/bk-2016-1222.ch011
• Visualization of a Multidimensional Descriptor Space / Gaspar, Héléna A., Laboratoire de Chemoinformatique, UMR 7140, Université de Strasbourg, 1 rue Blaise Pascal, Strasbourg 67000, France; Baskin, Igor I., Faculty of Physics, M.V. Lomonosov Moscow State University, Leninskie Gory, Moscow 119991, Russia, Laboratory of Chemoinformatics, Butlerov Institute of Chemistry, Kazan Federal University, Kazan 420008, Russia; Varnek, Alexandre, Laboratoire de Chemoinformatique, UMR 7140, Université de Strasbourg, 1 rue Blaise Pascal, Strasbourg 67000, France / http://dx.doi.org/10.1021/bk-2016-1222.ch012
• The Application of Cheminformatics in the Analysis of High-Throughput Screening Data / Walters, W. Patrick; Aronov, Alexander; Goldman, Brian; McClain, Brian; Perola, Emanuele; Weiss, Jonathan / http://dx.doi.org/10.1021/bk-2016-1222.ch013
• Steps Toward a Virtual Rat: Predictive Absorption, Distribution, Metabolism, and Toxicity Models / Tseng, Yufeng J., Department of Computer Science and Information Engineering, National Taiwan University, No. 1 Sec. 4, Roosevelt Road, Taipei, Taiwan 106, Graduate Institute of Biomedical Electronics and Bioinformatics, National Taiwan University, No. 1 Sec. 4, Roosevelt Road, Taipei, Taiwan 106; Su, Bo-Han, Department of Computer Science and Information Engineering, National Taiwan University, No. 1 Sec. 4, Roosevelt Road, Taipei, Taiwan 106; Hsu, Ming-Tsung, Genome and Systems Biology Degree Program, National Taiwan University and Academia Sinica, No. 1 Sec. 4, Roosevelt Road, Taipei, Taiwan 106; Lin, Olivia A., Graduate Institute of Biomedical Electronics and Bioinformatics, National Taiwan University, No. 1 Sec. 4, Roosevelt Road, Taipei, Taiwan 106 / http://dx.doi.org/10.1021/bk-2016-1222.ch014
• How Many Fingers Does a Compound Have? Molecular Similarity beyond Chemical Space / Lounkine, Eugen; Camargo, Miguel L. / http://dx.doi.org/10.1021/bk-2016-1222.ch015
• The Many Facets of Screening Library Design / Boehm, Markus; Zhang, Liying; Bodycombe, Nicole; Maciejewski, Mateusz; Wassermann, Anne Mai / http://dx.doi.org/10.1021/bk-2016-1222.ch016
• Editors’ Biographies / http://dx.doi.org/10.1021/bk-2016-1222.ot001

This book focuses on broadly defined areas of chemical information science- with special emphasis on chemical informatics- and computer-aided molecular design. The computational and cheminformatics methods discussed, and their application to drug discovery, are essential for sustaining a viable drug development pipeline.
(source: Nielsen Book Data)

• I. A Brief Introduction to Some General Concepts in Elasticity.- 1. Some Notations.- 2. Deformations and Motions.- 3. Mass. Force.- 4. Euler's Axiom. Cauchy's Theorem.- 5. Constitutive Assumptions. Elastic Body.- 6. Frame-Indifference of the Material Response.- II. Composition Operators in Sobolev and Schauder Spaces. Theorems on Continuity, Differentiability, and Analyticity.- 1. Some Facts About Sobolev and Schauder Spaces.- 2. A Property of Multiplication in Sobolev Spaces.- 3. On Continuity of Composition Operators in Sobolev and Schauder Spaces.- 4. On Differentiability of Composition Operators in Sobolev and Schauder Spaces.- 5. On Analyticity of Composition Operators in Sobolev and Schauder Spaces.- 6. A Theorem on Failure of Differentiability for Composition Operators.- III. Dirichlet and Neumann Boundary Problems in Linearized Elastostatics. Existence, Uniqueness, and Regularity.- 1. Korn's Inequalities.- 2. A Generalization of a Theorem of Lax and Milgram.- 3. Linearized Elastostatics.- 4. The Dirichlet Problem in Linearized Elastostatics. Existence and Uniqueness in W1, p(?, ?n).- 5. The Neumann Problem in Linearized Elastostatics. Existence and Uniqueness in W1, p(?, ? n).- 6. Some Basic Inequalities for Elliptic Operators.- 7. Regularity Theorems for Dirichlet and Neumann Problems in Linearized Elastostatics.- IV. Boundary Problems of Place in Finite Elastostatics.- 1. Formulation of the Problem.- 2. Remarks on Admissibility of a Linearization.- 3. A Topological Property of Sets of Admissible Deformations.- 4. Local Theorems on Existence, Uniqueness, and Analytic Dependence on f for Problem ((1.1), (1.3)).- 5. Stronger Results on Existence and Uniqueness for Problem ((1.1), (1.3)).- 6. Local Theorems on Existence and Uniqueness for Problem ((1.1), (1.2)).- V. Boundary Problems of Traction in Finite Elastostatics. An Abstract Method. The Special Case of Dead Loads.- 1. Generality on the Traction Problem in Finite Elastostatics.- 2. Preliminary Discussion.- 3. A Basic Lemma.- 4. Critical Infinitesimal Rigid Displacements for a Load.- 5. A Local Theorem on Existence, Uniqueness, and Analytic Dependence on a Parameter.- 6. The Case of Dead Loads.- 7. Some Historical Notes.- VI. Boundary Problems of Pressure Type in Finite Elastostatics.- 1. Preliminaries.- 2. The Case When the Load Is Invariant Under Translations.- 3. The Case When the Load Is Invariant Under Rotations.- 4. The Case of a Heavy Elastic Body Submerged in a Quiet Heavy Liquid.-
• Appendix I. On Analytic Mappings Between Banach Spaces. Analytic Implicit Function Theorem.-
• Appendix II. On the Representation of Orthogonal Matrices.- Index of Notations.
• (source: Nielsen Book Data)

In this book I present, in a systematic form, some local theorems on existence, uniqueness, and analytic dependence on the load, which I have recently obtained for some types of boundary value problems of finite elasticity. Actually, these results concern an n-dimensional (n ~ 1) formal generalization of three-dimensional elasticity. Such a generalization, be- sides being quite spontaneous, allows us to consider a great many inter- esting mathematical situations, and sometimes allows us to clarify certain aspects of the three-dimensional case. Part of the matter presented is unpublished; other arguments have been only partially published and in lesser generality. Note that I concentrate on simultaneous local existence and uniqueness; thus, I do not deal with the more general theory of exis- tence. Moreover, I restrict my discussion to compressible elastic bodies and I do not treat unilateral problems. The clever use of the inverse function theorem in finite elasticity made by STOPPELLI [1954, 1957a, 1957b], in order to obtain local existence and uniqueness for the traction problem in hyperelasticity under dead loads, inspired many of the ideas which led to this monograph. Chapter I aims to give a very brief introduction to some general concepts in the mathematical theory of elasticity, in order to show how the boundary value problems studied in the sequel arise. Chapter II is very technical; it supplies the framework for all sub- sequent developments.
(source: Nielsen Book Data)