Finding Equilibrium


Book Description

The remarkable story and personalities behind one of the most important theories in modern economics Finding Equilibrium explores the post–World War II transformation of economics by constructing a history of the proof of its central dogma—that a competitive market economy may possess a set of equilibrium prices. The model economy for which the theorem could be proved was mapped out in 1954 by Kenneth Arrow and Gerard Debreu collaboratively, and by Lionel McKenzie separately, and would become widely known as the "Arrow-Debreu Model." While Arrow and Debreu would later go on to win separate Nobel prizes in economics, McKenzie would never receive it. Till Düppe and E. Roy Weintraub explore the lives and work of these economists and the issues of scientific credit against the extraordinary backdrop of overlapping research communities and an economics discipline that was shifting dramatically to mathematical modes of expression. Based on recently opened archives, Finding Equilibrium shows the complex interplay between each man's personal life and work, and examines compelling ideas about scientific credit, publication, regard for different research institutions, and the awarding of Nobel prizes. Instead of asking whether recognition was rightly or wrongly given, and who were the heroes or villains, the book considers attitudes toward intellectual credit and strategies to gain it vis-à-vis the communities that grant it. Telling the story behind the proof of the central theorem in economics, Finding Equilibrium sheds light on the changing nature of the scientific community and the critical connections between the personal and public rewards of scientific work.




Chemistry 2e


Book Description

Chemistry 2e is designed to meet the scope and sequence requirements of the two-semester general chemistry course. The textbook provides an important opportunity for students to learn the core concepts of chemistry and understand how those concepts apply to their lives and the world around them. The book also includes a number of innovative features, including interactive exercises and real-world applications, designed to enhance student learning. The second edition has been revised to incorporate clearer, more current, and more dynamic explanations, while maintaining the same organization as the first edition. Substantial improvements have been made in the figures, illustrations, and example exercises that support the text narrative. Changes made in Chemistry 2e are described in the preface to help instructors transition to the second edition.




DAT


Book Description

This brand new manual prepares dental school applicants across the United States and Canada to pass the required admissions test. It features: Three full-length model tests, including a diagnostic test All answers explained in detail Access to video tutorials from the authors, and more Test-takers will also find thorough reviews of all DAT test topics: a general survey of the natural sciences, including biology, chemistry, and organic chemistry, as well as testing for perceptual ability, reading comprehension, and quantitative reasoning. ONLINE PRACTICE TEST: Students will also get access to one additional full-length online DAT test with all questions answered and explained. This online exam can be easily accessed by smartphone, tablet, or computer.




Fundamentals of Applied Dynamics


Book Description

An introductory engineering textbook by an award-winning MIT professor that covers the history of dynamics and the dynamical analyses of mechanical, electrical, and electromechanical systems. This introductory textbook offers a distinctive blend of the modern and the historical, seeking to encourage an appreciation for the history of dynamics while also presenting a framework for future learning. The text presents engineering mechanics as a unified field, emphasizing dynamics but integrating topics from other disciplines, including design and the humanities. The book begins with a history of mechanics, suitable for an undergraduate overview. Subsequent chapters cover such topics as three-dimensional kinematics; the direct approach, also known as vectorial mechanics or the momentum approach; the indirect approach, also called lagrangian dynamics or variational dynamics; an expansion of the momentum and lagrangian formulations to extended bodies; lumped-parameter electrical and electromagnetic devices; and equations of motion for one-dimensional continuum models. The book is noteworthy in covering both lagrangian dynamics and vibration analysis. The principles covered are relatively few and easy to articulate; the examples are rich and broad. Summary tables, often in the form of flowcharts, appear throughout. End-of-chapter problems begin at an elementary level and become increasingly difficult. Appendixes provide theoretical and mathematical support for the main text.




The Wisdom of Lao Tzu: Understanding the Way and Its Power


Book Description

In this illuminating guide, the profound teachings of ancient Chinese philosopher Lao Tzu come to life. Through the pages of the Tao Te Ching, Lao Tzu's wisdom transcends time, offering timeless insights that resonate with modern seekers of truth and fulfillment. Discover the essence of the Tao, the enigmatic concept of the Way that governs all things. Lao Tzu's teachings on humility, non-action, and the transformative power of yielding will challenge your preconceptions and guide you toward a deeper understanding of the universe. Explore the nature of duality, the importance of detachment, and the paradoxical harmony between opposites. This book delves into the practical implications of Lao Tzu's wisdom, empowering you to cultivate serenity, find balance in a chaotic world, and develop a keen understanding of your place in the cosmic order. Each chapter is a treasure trove of knowledge, providing you with tools and insights to navigate the challenges of everyday life. Whether you're a seasoned spiritual seeker or a curious newcomer, this book will enrich your journey and inspire you to live a more mindful and fulfilling life. The Wisdom of Lao Tzu is an essential companion for anyone seeking to connect with the wisdom of the ancients and find their own path to inner peace and harmony.




Exploring General Equilibrium


Book Description

The general equilibrium approach, Black asserts, can be used to explain most of the economy's behavior. It can explain business cycles and growth without using sticky prices, irrationality, economies of scale, or imperfect competition. It can explain the volatility of consumption, output, sales, investment, and inventories with axiomatic utility and constant-returns-to-scale production. It can explain temporary layoffs, job changes with and without intervening unemployment, and the behavior of vacancies. It can explain lower wages in part-time jobs, wages that increase rapidly with time on the job, and the forces that cause migration from poor to rich countries. Although the general equilibrium approach cannot be tested in conventional ways, it can be used to generate examples that explain stylized facts - generalized observations from the real world - that have preoccupied macroeconomists for the last decade. Black contrasts his interpretation of these facts with conventional views. Finally, he reviews a substantial body of literature on these topics.




Methods of Mathematical Finance


Book Description

This sequel to Brownian Motion and Stochastic Calculus by the same authors develops contingent claim pricing and optimal consumption/investment in both complete and incomplete markets, within the context of Brownian-motion-driven asset prices. The latter topic is extended to a study of equilibrium, providing conditions for existence and uniqueness of market prices which support trading by several heterogeneous agents. Although much of the incomplete-market material is available in research papers, these topics are treated for the first time in a unified manner. The book contains an extensive set of references and notes describing the field, including topics not treated in the book. This book will be of interest to researchers wishing to see advanced mathematics applied to finance. The material on optimal consumption and investment, leading to equilibrium, is addressed to the theoretical finance community. The chapters on contingent claim valuation present techniques of practical importance, especially for pricing exotic options.




A Course in Differential Equations with Boundary Value Problems


Book Description

A Course in Differential Equations with Boundary Value Problems, 2nd Edition adds additional content to the author’s successful A Course on Ordinary Differential Equations, 2nd Edition. This text addresses the need when the course is expanded. The focus of the text is on applications and methods of solution, both analytical and numerical, with emphasis on methods used in the typical engineering, physics, or mathematics student’s field of study. The text provides sufficient problems so that even the pure math major will be sufficiently challenged. The authors offer a very flexible text to meet a variety of approaches, including a traditional course on the topic. The text can be used in courses when partial differential equations replaces Laplace transforms. There is sufficient linear algebra in the text so that it can be used for a course that combines differential equations and linear algebra. Most significantly, computer labs are given in MATLAB®, Mathematica®, and MapleTM. The book may be used for a course to introduce and equip the student with a knowledge of the given software. Sample course outlines are included. Features MATLAB®, Mathematica®, and MapleTM are incorporated at the end of each chapter All three software packages have parallel code and exercises There are numerous problems of varying difficulty for both the applied and pure math major, as well as problems for engineering, physical science and other students. An appendix that gives the reader a "crash course" in the three software packages Chapter reviews at the end of each chapter to help the students review Projects at the end of each chapter that go into detail about certain topics and introduce new topics that the students are now ready to see Answers to most of the odd problems in the back of the book




Nonlinear Vibration with Control


Book Description

The authors discuss the interrelationship of linear vibration theory for multi-degree-of-freedom systems; nonlinear dynamics and chaos; and nonlinear control. No other book covers these areas in the same way, so this is a new perspective on these topics.




Industrial Organization


Book Description

This textbook presents 122 exercises on industrial organization with detailed answer keys. While most textbooks on industrial organization focus on theory and empirical findings, this textbook offers practical examples and exercises helping predict firm behaviour in different industries. The book emphasizes the game-theoretic tools used in each type of exercise, so students can systematically apply them to other markets, forms of competition, or information environments where firms, consumers, and regulating agencies interact. The book begins with examples that analyse different models of firm behavior and interaction; starting with monopoly and moving through the Cournot model of simultaneous quantity competition, the Bertrand model simultaneous price competition, and sequential competition. The following chapters apply game-theoretic tools to situations of increasing complexity: regulation; R&D incentives; mergers and collusion; bundling incentives; incomplete information, signalling, and competition; networks and switching costs. In addition to providing algebraic simplifications, some chapters also offer the unique feature of worked exercises based on published journal articles by leading scholars in the field. Finally, exercises are ranked according to their difficulty, with a letter (A-C) next to the exercise number, which allows students to pace their studies and instructors to structure their classes accordingly. Providing a rigorous, yet practical introduction to the field of industrial organization, this textbook is appropriate for advanced undergraduate and graduate students in economics and finance.