A Short Course in Intermediate Microeconomics with Calculus (2版)

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書名：A Short Course in Intermediate Microeconomics with Calculus 2/e 作者：Roberto Serrano 出版社：Cambridge 出版日期：2018/00/00 ISBN：9781108439190 內容簡介 This second edition retains the positive features of being clearly written, well organized, and incorporating calculus in the text, while adding expanded coverage on game theory, experimental economics, and behavioural economics. It remains more focused and manageable than similar textbooks, and provides a concise yet comprehensive treatment of the core topics of microeconomics, including theories of the consumer and of the firm, market structure, partial and general equilibrium, and market failures caused by public goods, externalities and asymmetric information. The book includes helpful solved problems in all the substantive chapters, as well as over seventy new mathematical exercises and enhanced versions of the ones in the first edition. The authors make use of the book's full color with sharp and helpful graphs and illustrations. This mathematically rigorous textbook is meant for students at the intermediate level who have already had an introductory course in microeconomics, and a calculus course. Integrates calculus in the main body of the text in a seamless and helpful way The book is written in a clear and engaging style to provide a comprehensive and authoritative presentation of the standard topics in microeconomics Graphs and illustrations are presented in this edition in full color 目錄 1. Introduction Part I. Theory of the Consumer: 2. Preferences and utility 3. The budget constraint and the consumer's optimal choice 4. Demand functions 5. Supply functions for labor and savings 6. Welfare economics 1: the one-person case 7. Welfare economics 2: the many-person case Part II. Theory of the Producer: 8. Theory of the firm 1: the single-input model 9. Theory of the firm 2: the long run, multiple-input model 10. Theory of the firm 3: the short run, multiple-input model Part III. Partial Equilibrium: Market Structure: 11. Perfectly competitive markets 12. Monopoly and monopolistic competition 13. Duopoly 14. Game theory Part IV. General Equilibrium: 15. An exchange economy 16. A production economy Part V. Market Failure: 17. Externalities 18. Public goods 19. Uncertainty and expected utility 20. Uncertainty and asymmetric information.

JOHN D. JACKSON - A COURSE IN QUANTUM MECHANICS (1版)

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【簡介】 【目錄】 1 Basics 2 Reformulation 3 Wentzel-Kramers-Brillouin (WKB) Method 4 Rotations, Angular Momentum, and Central Force Motion 5 Time-Independent Perturbation Theory 6 Atomic Structure 7 Time-Dependent Perturbation Theory and Scattering 8 Semi-Classical and Quantum Electromagnetic Field 9 Emission and Absorption of Radiation 10 Relativistic Quantum Mechanics A Dimensions and Units B Mathematical Tools C Selected Solutions

A Course in Analysis Vol. V: Functional Analysis, Some Operator Theory, Theory of Distributions

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The book is an advanced textbook and a reference text in functional analysis in the wide sense. It provides advanced undergraduate and graduate students with a coherent introduction to the field, i.e. the basic principles, and leads them to more demanding topics such as the spectral theorem, Choquet theory, interpolation theory, analysis of operator semigroups, Hilbert–Schmidt operators and Hille–Tamarkin operators, topological vector spaces and distribution theory, fundamental solutions, or the Schwartz kernel theorem. All topics are treated in great detail and the text provided is suitable for self-studying the subject. This is enhanced by more than 270 problems solved in detail. At the same time the book is a reference text for any working mathematician needing results from functional analysis, operator theory or the theory of distributions. Embedded as Volume V in the Course of Analysis, readers will have a self-contained treatment of a key area in modern mathematics. A detailed list of references invites to further studies. Request Inspection Copy Contents: Preface Introduction List of Symbols Functional Analysis: What is Functional Analysis about? Infinite Dimensional Vector Spaces Banach Spaces Linear Operators and Linear Functionals The Dual Space The Basic Principles of Functional Analysis Adjoint Operators and Fredholm Theory Hilbert Spaces and Operators in Hilbert Spaces Unbounded Operators in Hilbert Spaces Spectral Theory. Part I: Gelfand–Naimark Theory Spectral Theory. Part II: Self-adjoint Operators Topological Vector Spaces Convexity and Integral Representations Selected Topics Some Operator Theory: Some Integral Operators One-Parameter Semigroups of Operators Positivity Preserving Operators and Markovian Semigroups On Regular Sturm-Liouville Problems Sobolev Spaces. A First Encounter Operators Induced by the Dirichlet Problem Selected Topics Distributions: Some Function Spaces as Fréchet Spaces Distributions in the Sense of Schwartz Further Properties of Distributions Tempered Distributions and the Fourier Transform Tensor Products and the Kernel Theorem Calderon-Zygmund Operators Appendices: Completeness Nets, Convergence and Continuity On the Riesz Representation Theorem Solutions to Problems of Part 12 Solutions to Problems of Part 13 Solutions to Problems of Part 14 References Mathematicians Contributing to Analysis (Continued) Subject Index Readership: Advanced undergraduate students, graduate students, researchers in analysis.