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- 要約等"This comprehensive introduction to the calculus of variations and its main principle......heir real-life applications in various contexts: mathemat......tial geometry, and optimization in economics. Based on the authors' o...... with examples and exercises suit......d of presentation will appeal to......ounds in functional analysis, di......ntial geometry and partial differential equations. Each chapter......orough motivation for the materi......erial has a strong geometric fla...... the abstract concepts. Its extensive reference list and index also mak......erential equations and functional analysis"-- Provided by pub...
- 内容細目Machine generated contents note: For......Part I. Variational Principles i......sics 1. Variational principles 2. Variational inequalities 3. Nonlinear eigenval......itrary growth nonlinearities 6. ......ms 7. Competition phenomena in D......art II. Variational Principles i......inear problems on Riemannian man......tical problems on spheres 11. Equations with critical exponent 12. Problem......rt III. Variational Principles in Economics 13. Mathe...... 14. Minimization of cost-functions on manifolds 15. ......est approximation problems on manifolds 16. A variational approach to ....... Elements of convex analysis Appendix B. Funct...
- 件名Calculus of variations.
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- 要約等...vides a course on mathematical analysis based on Internal Set T...... by Edward Nelson in 1977. After......an ultrapower construction, the book prov....... This foundational discussion, which is pres......basic internal and external prope......within IST. In its remaining four...... explores the consequences of th......nalysis course and gradually move......e, self-study, and as a source fo...... by Edward Nelson in 1977. After......an ultrapower construction, the author pr......s. The basic standard and nonstandard properties ......orough discussion of the central......raduate course and gradually moves to topics sui...
- 内容細目Machine generated contents note: Pre......ace; Introduction; Part I. Eleme......; 3. Sequences and series; 4. The......gy of R; 5. Limits and continuity; 6. Differentiation; 7. Integration; 8. Sequences and series of functions; 9. Infinite ......aces; 13. Some applications of completenes......ntial calculus on Rn; 16. Function space topologi......ic representation of numbers; C......., denumerable, and uncountable sets; D. The synt...
- 件名Mathematical analysis. Set theory. MATHEMATICS / Mathematical Analysis.
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- 要約等...rtices, edges, and so on) to explore as......other areas of mathematics, including topology, algebra and geometry, and is increasingl......oks cover portions of the materi...... scope as this one, in which ack......edged international experts in t...... uniform notation and terminology ap......s substantial contributions to the area, ......d as academic consultant. The bo......or researchers and graduate stude......n graph theory and combinatorics and as a useful introduction to the topic for mathematicia...
- 内容細目Machine generated contents note: For......ell W. Beineke and Robin J. Wilson 1. Colouring graphs on surfaces / Boj......chael Stiebitz and Bjarne Toft 3.......ls / Bill Jackson 4. Hadwiger's conjecture / Ken-i......s / Jessica McDonald 6. List-col......chael Stiebitz and Margit Voigt 7......Nicolas Trotignon 8. Geometric graphs / Alexander Soifer 9. Integer flow and orientation / Hongjian Lai, Rong Luo and Cun-Quan Zhang......10. Colouring random graphs / Ross J. Kang and Colin McDiarmi......as, Zsolt Tuza and Vitaly Voloshi......nique de Werra and Alain Hertz 13......s / Zsolt Tuza and Xuding Zhu 15......./ Tommy Jensen and Bjarne Toft Notes on contribu...
- 件名Graph coloring--Data processing. Graph theory--Data processing. MATHEMATICS / Discrete Mathematics.
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- 内容細目Why convex? Convex functions on Euclidean spac......lidean spaces Convex functions on Banach spaces ......een smoothness and strict convexity Further ......opics Barriers and Legendre functions Convex functions and classifications of Banach spaces Monotone operators and the Fitzpatrick function Further remarks and notes.
- 件名Convex functions. Banach spaces. Geometry, Non-Euclidean.
- 著者標目Borwein, Jonathan M. Vanderwerff, Jon D.
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- 件名temptation commitment self-control peer effect bandwagon effect
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- 内容細目Machine generated contents note: ch.......ser Technology and Systems 1.1.Introduction 1.2.Laser Deve...... 1.5.Organisation of the Book 1.......Part I: Lasers and Fundamentals 1......fe Use, Education, and Training Refer......h. 2 Laser Action, Components and Definition of Terms 2.1.Introduction 2.2.Laser Classification 2.3.Laser Action and Stimulated Emission 2.3.1.Gain Medium, Pumping and Population Inversion 2.3.2.Laser Transitions 2.3.3.Laser M......es 2.3.4.Near- and Far-Field Beam.......4.Oscillators and Amplifiers 2.5.Beam Generation and Its Control 2.5.1.Q-Sw......ther Laser Components 2.6.1.Mirr.......Windows Note continued: 2.7.Direct and Indirec...
- 件名Lasers--Military applications. Laser weapons. Weapons systems--Equpment and supplies.
- タイトル標目Artech House applied photonics series.
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- 件名JEL classification: C72 temptation commitment self-control peer effect bandwagon effect
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- 件名Geometry, Differential. Homology theory. Fiber bundles (Mathematics)
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- 件名Algebraic fields. Algebraic functions. Algebraic number theory.
- 一般注記Lecture notes of a course given in Princeton University, 19...... was a revised and extended version of a series of lectures given...
- 関連情報Notes on mathematics and its applications
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- 件名Vortex-motion. Viscous flow.
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- 件名Differential equations.
- 一般注記...erential equations. At head of title: New York ...
- 並列タイトル等（連結）Advanced ordinary differential equations.
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- 件名Von Neumann algebras.
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- 件名Functional analysis. Analise Funcional.
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- 件名Mathematics. Topological groups.
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- 件名Homotopy theory. Duality theory (Mathematics) Homotopia.
- 著者標目Hilton, Peter John.
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- 件名Topology. Manifolds (Mathematics)
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- 件名Stone-Cech remainder Laver real continuum