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1.

図書
図書
1. Thermodynamics : an engineering approach. 6th ed
Yunus A. Çengel, Michael A. Boles
出版情報: Boston : McGraw-Hill Higher Education, c2008  xxxi, 1018 p. ; 27 cm.
シリーズ名: McGraw-Hill series in mechanical engineering
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2.

図書
図書
2. Formal modeling and analysis of timed systems : 6th international conference, FORMATS 2008, Saint Malo, France, September 15 - 17, 2008 proceedings
Franck Cassez, Claude Jard (eds.)
出版情報: Berlin ; New York : Springer, c2008  xi, 294 p. ; 24 cm
シリーズ名: Lecture notes in computer science ; 5215
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3.

図書
図書
3. Organic chemistry. 9th ed
T.W. Graham Solomons, Craig B. Fryhle
出版情報: Hoboken, N.J. : John Wiley, c2008  xxxv, 1191, [49] p. ; 29 cm
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目次情報: 続きを見る
Carbon Compounds and Chemical Bonds / 1：
Representative Carbon Compounds: Functional Groups, Infrared Spectroscopy, & Intermolecular Force / 2：
An Introduction to Organic Reactions: Acids and Bases / 3：
Alkanes: Nomenclature, Conformational Analysis, & An Intro to Synthesis / 4：
Stereochemistry: Chiral Molecules / 5：
Ionic Reactions - Nucleophilic Substitution & Elimination Reactions: Alkyl Halides / 6：
Alkenes & Alkynes: Properties & Synthesis, Elimination Reactions of Alkyl Halides / 7：
Alkenes & Alkynes II: Addition Reaction / 8：
Spectroscopic Methods of Structure Determination / 9：
Radical Reactions / 10：
Alcohols & Ethers / 11：
Alcohols from Carbonyl Compounds, Oxidation-Reduction & Organometallic Compounds / 12：
Conjugated Unsaturated Systems / 13：
Aromatic Compounds / 14：
Reactions of Aromatic Compounds / 15：
Aldehydes & Ketones I: Nucleophilic Additions to the Carbonyl Group / 16：
Aldehydes & Ketones II: Enolates & Enols / 17：
Aldol & Alkylation Reactions
Carboxylic Acids & Their Derivatives: Nucleophilic Substitution at the Acyl Carbon / 18：
Synthesis & Reactions of a-Dicarbonyl Compounds: More Chemistry of Enolate Ions / 19：
Amines / 20：
Phenols & Aryl Halides: Nucleophilic Aromatic Substitution / 21：
Carbohydrates / 22：
Lipids / 23：
Amino Acids & Proteins / 24：
Nucleic Acids & Protein Synthesis / 25：
Carbon Compounds and Chemical Bonds / 1：
Representative Carbon Compounds: Functional Groups, Infrared Spectroscopy, & Intermolecular Force / 2：
An Introduction to Organic Reactions: Acids and Bases / 3：
4.

図書
図書
4. Lectures on symplectic geometry. Corr. 2. print
Ana Cannas da Silva
出版情報: Berlin ; New York : Springer-Verlag, 2008  xiv, 247 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1764
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目次情報: 続きを見る
Foreword
Introduction
Symplectic Manifolds / I：
Symplectic Forms / 1：
Skew-Symmetric Bilinear Maps / 1.1：
Symplectic Vector Spaces / 1.2：
Symplectomorphisms / 1.3：
Symplectic Linear Algebra / Homework 1：
Symplectic Form on the Cotangent Bundle / 2：
Cotangent Bundle / 2.1：
Tautological and Canonical Forms in Coordinates / 2.2：
Coordinate-Free Definitions / 2.3：
Naturality of the Tautological and Canonical Forms / 2.4：
Symplectic Volume / Homework 2：
Lagrangian Submanifolds / II：
Submanifolds / 3.1：
Lagrangian Submanifolds of T*X / 3.2：
Conormal Bundles / 3.3：
Application to Symplectomorphisms / 3.4：
Tautological Form and Symplectomorphisms / Homework 3：
Generating Functions / 4：
Constructing Symplectomorphisms / 4.1：
Method of Generating Functions / 4.2：
Application to Geodesic Flow / 4.3：
Geodesic Flow / Homework 4：
Recurrence / 5：
Periodic Points / 5.1：
Billiards / 5.2：
Poincaré Recurrence / 5.3：
Local Forms / III：
Preparation for the Local Theory / 6：
Isotopies and Vector Fields / 6.1：
Tubular Neighborhood Theorem / 6.2：
Homotopy Formula / 6.3：
Moser Theorems / Homework 5：
Notions of Equivalence for Symplectic Structures / 7.1：
Moser Trick / 7.2：
Moser Local Theorem / 7.3：
Darboux-Moser-Weinstein Theory / 8：
Classical Darboux Theorem / 8.1：
Lagrangian Subspaces / 8.2：
Weinstein Lagrangian Neighborhood Theorem / 8.3：
Oriented Surfaces / Homework 6：
Weinstein Tubular Neighborhood Theorem / 9：
Observation from Linear Algebra / 9.1：
Tubular Neighborhoods / 9.2：
Application 1: Tangent Space to the Group of Symplectomorphisms / 9.3：
Application 2: Fixed Points of Symplectomorphisms / 9.4：
Contact Manifolds / IV：
Contact Forms / 10：
Contact Structures / 10.1：
Examples / 10.2：
First Properties / 10.3：
Manifolds of Contact Elements / Homework 7：
Contact Dynamics / 11：
Reeb Vector Fields / 11.1：
Symplectization / 11.2：
Conjectures of Seifert and Weinstein / 11.3：
Compatible Almost Complex Structures / V：
Almost Complex Structures / 12：
Three Geometries / 12.1：
Complex Structures on Vector Spaces / 12.2：
Compatible Structures / 12.3：
Compatible Linear Structures / Homework 8：
Compatible Triples / 13：
Compatibility / 13.1：
Triple of Structures / 13.2：
First Consequences / 13.3：
Contractibility / Homework 9：
Dolbeault Theory / 14：
Splittings / 14.1：
Forms of Type (l, m) / 14.2：
J-Holomorphic Functions / 14.3：
Dolbeault Cohomology / 14.4：
Integrability / Homework 10：
Kähler Manifolds / VI：
Complex Manifolds / 15：
Complex Charts / 15.1：
Forms on Complex Manifolds / 15.2：
Differentials / 15.3：
Complex Projective Space / Homework 11：
Kähler Forms / 16：
An Application / 16.1：
Recipe to Obtain Kähler Forms / 16.3：
Local Canonical Form for Kähler Forms / 16.4：
The Fubini-Study Structure / Homework 12：
Compact Kähler Manifolds / 17：
Hodge Theory / 17.1：
Immediate Topological Consequences / 17.2：
Compact Examples and Counterexamples / 17.3：
Main Kähler Manifolds / 17.4：
Hamiltonian Mechanics / VII：
Hamiltonian Vector Fields / 18：
Hamiltonian and Symplectic Vector Fields / 18.1：
Classical Mechanics / 18.2：
Brackets / 18.3：
Integrable Systems / 18.4：
Simple Pendulum / Homework 13：
Variational Principles / 19：
Equations of Motion / 19.1：
Principle of Least Action / 19.2：
Variational Problems / 19.3：
Solving the Euler-Lagrange Equations / 19.4：
Minimizing Properties / 19.5：
Minimizing Geodesies / Homework 14：
Legendre Transform / 20：
Strict Convexity / 20.1：
Application to Variational Problems / 20.2：
Moment Maps / Homework 15：
Actions / 21：
One-Parameter Groups of Diffeomorphisms / 21.1：
Lie Groups / 21.2：
Smooth Actions / 21.3：
Symplectic and Hamiltonian Actions / 21.4：
Adjoint and Coadjoint Representations / 21.5：
Hermitian Matrices / Homework 16：
Hamiltonian Actions / 22：
Moment and Comoment Maps / 22.1：
Orbit Spaces / 22.2：
Preview of Reduction / 22.3：
Classical Examples / 22.4：
Coadjoint Orbits / Homework 17：
Symplectic Reduction / IX：
The Marsden-Weinstein-Meyer Theorem / 23：
Statement / 23.1：
Ingredients / 23.2：
Proof of the Marsden-Weinstein-Meyer Theorem / 23.3：
Reduction / 24：
Noether Principle / 24.1：
Elementary Theory of Reduction / 24.2：
Reduction for Product Groups / 24.3：
Reduction at Other Levels / 24.4：
Orbifolds / 24.5：
Spherical Pendulum / Homework 18：
Moment Maps Revisited / X：
Moment Map in Gauge Theory / 25：
Connections on a Principal Bundle / 25.1：
Connection and Curvature Forms / 25.2：
Symplectic Structure on the Space of Connections / 25.3：
Action of the Gauge Group / 25.4：
Case of Circle Bundles / 25.5：
Examples of Moment Maps / Homework 19：
Existence and Uniqueness of Moment Maps / 26：
Lie Algebras of Vector Fields / 26.1：
Lie Algebra Cohomology / 26.2：
Existence of Moment Maps / 26.3：
Uniqueness of Moment Maps / 26.4：
Examples of Reduction / Homework 20：
Convexity / 27：
Convexity Theorem / 27.1：
Effective Actions / 27.2：
Connectedness / 27.3：
Symplectic Toric Manifolds / XI：
Classification of Symplectic Toric Manifolds / 28：
Delzant Polytopes / 28.1：
Delzant Theorem / 28.2：
Sketch of Delzant Construction / 28.3：
Delzant Construction / 29：
Algebraic Set-Up / 29.1：
The Zero-Level / 29.2：
Conclusion of the Delzant Construction / 29.3：
Idea Behind the Delzant Construction / 29.4：
Duistermaat-Heckman Theorems / Homework 22：
Duistermaat-Heckman Polynomial / 30.1：
Local Form for Reduced Spaces / 30.2：
Variation of the Symplectic Volume / 30.3：
References / Homework 23：
Index
Foreword
Introduction
Symplectic Manifolds / I：
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