In highly mathematical courses, it is a truism that students learn by doing, not by reading. Tamara Todorova’s Problems Book to Accompany Mathematics for Economists provides a life line for students seeking an extra leg up in challenging courses. Beginning with college-level mathematics, this comprehensive workbook presents an extensive number of economics focused problem sets, with clear and detailed solutions for each one. By keeping the focus on economic applications, Todorova provides economics students with the mathematical tools they need for academic success. For years, Professor Todorova has taught microeconomic courses to economists and non-economists, introduced students to new institutional economics as a modern trend in economics, and taught quantitative methods and their application to economic theory, marketing, and advertising.
As the title of the book suggests, the topics of this book are organized into two parts. The first part points out the fuzzy differential equations and the second one is related to the fuzzy integral equations. The book contains nine chapters that six chapters are about fuzzy differential equations and three of them are about fuzzy integral equations. In each part, the chapters’ authors are going to discuss the topics theoretically and numerically. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit from the subjects of the book.
This text offers the ideal approach for economics and business students seeking to understand the mathematics relevant to them. Each chapter demonstrates basic mathematical techniques, while also explaining the economic analysis and business context where each is used. By following the worked examples and tackling the practice problems, students will discover how to use and apply each of these techniques. Now in its second edition, the text features expanded summaries of economic analysis, new sections on matrix algebra and linear programming, and additional demonstrations of economics applications. Demonstrates mathematical techniques while explaining their economic and business applications Engages the reader with numerous worked examples and practice problems Features new sections on matrix algebra and linear programming Includes a companion website with the book, containing the award winning MathEcon software, Excel files, Powerpoint slides, all definitions and 'remember boxes', and additional practice questions
Essential Mathematics for Economics and Business is established as one of the leading introductory textbooks on mathematics for students of business and economics. Combining a user–friendly approach to mathematics with practical applications to the subjects, the text provides students with a clear and comprehensible guide to mathematics. The fundamental mathematical concepts are explained in a simple and accessible style, using a wide selection of worked examples, progress exercises and real–world applications. New to this Edition Fully updated text with revised worked examples and updated material on Excel and Powerpoint New exercises in mathematics and its applications to give further clarity and practice opportunities Fully updated online material including animations and a new test bank The fourth edition is supported by a companion website at www.wiley.com/college/bradley, which contains: Animations of selected worked examples providing students with a new way of understanding the problems Access to the Maple T.A. test bank, which features over 500 algorithmic questions Further learning material, applications, exercises and solutions. Problems in context studies, which present the mathematics in a business or economics framework. Updated PowerPoint slides, Excel problems and solutions. "The text is aimed at providing an introductory-level exposition of mathematical methods for economics and business students. In terms of level, pace, complexity of examples and user-friendly style the text is excellent - it genuinely recognises and meets the needs of students with minimal maths background." —Colin Glass, Emeritus Professor, University of Ulster "One of the major strengths of this book is the range of exercises in both drill and applications. Also the 'worked examples' are excellent; they provide examples of the use of mathematics to realistic problems and are easy to follow." —Donal Hurley, formerly of University College Cork "The most comprehensive reader in this topic yet, this book is an essential aid to the avid economist who loathes mathematics!" —Amazon.co.uk
Designed to demonstrate the essential mathematical concepts—comprehensively and economically—without re-teaching basic material or laboring over superfluous ideas, this text locates the necessary information in a practical economics context. Utilizing clear exposition and dynamic pedagogical features, Mathematical Tools for Economics provides students with the analytical skills they need to better grasp their field of study. A short introduction to mathematics for students of economics Demonstrates essential mathematical concepts necessary for economic analysis, such as matrix algebra and calculus, simultaneous linear equations, and concrete and discrete time Incorporates applications to econometrics and statistics, and includes computational exercises illustrating the methods and concepts discussed in the text Clear explanations and dynamic pedagogical features provide students with the analytical skills they need to better grasp their field of study. Mathematical Tools for Economics is supported by an instructor's manual featuring solutions, available at www.blackwellpublishing.com/turkington
An innovative textbook for use in advanced undergraduate and graduate courses; accessible to students in financial mathematics, financial engineering and economics. Introduction to the Economics and Mathematics of Financial Markets fills the longstanding need for an accessible yet serious textbook treatment of financial economics. The book provides a rigorous overview of the subject, while its flexible presentation makes it suitable for use with different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three different degrees of sophistication: single-period, multi-period, and continuous-time. The single-period and multi-period models require only basic calculus and an introductory probability/statistics course, while an advanced undergraduate course in probability is helpful in understanding the continuous-time models. In this way, the material is given complete coverage at different levels; the less advanced student can stop before the more sophisticated mathematics and still be able to grasp the general principles of financial economics. The book is divided into three parts. The first part provides an introduction to basic securities and financial market organization, the concept of interest rates, the main mathematical models, and quantitative ways to measure risks and rewards. The second part treats option pricing and hedging; here and throughout the book, the authors emphasize the Martingale or probabilistic approach. Finally, the third part examines equilibrium models—a subject often neglected by other texts in financial mathematics, but included here because of the qualitative insight it offers into the behavior of market participants and pricing.
ESSENTIAL MATHEMATICS FOR ECONOMIC ANALYSIS Fifth Edition An extensive introduction to all the mathematical tools an economist needs is provided in this worldwide bestseller. “The scope of the book is to be applauded” Dr Michael Reynolds, University of Bradford “Excellent book on calculus with several economic applications” Mauro Bambi, University of York New to this edition: The introductory chapters have been restructured to more logically fit with teaching. Several new exercises have been introduced, as well as fuller solutions to existing ones. More coverage of the history of mathematical and economic ideas has been added, as well as of the scientists who developed them. New example based on the 2014 UK reform of housing taxation illustrating how a discontinuous function can have significant economic consequences. The associated material in MyMathLab has been expanded and improved. Knut Sydsaeter was Emeritus Professor of Mathematics in the Economics Department at the University of Oslo, where he had taught mathematics for economists for over 45 years. Peter Hammond is currently a Professor of Economics at the University of Warwick, where he moved in 2007 after becoming an Emeritus Professor at Stanford University. He has taught mathematics for economists at both universities, as well as at the Universities of Oxford and Essex. Arne Strom is Associate Professor Emeritus at the University of Oslo and has extensive experience in teaching mathematics for economists in the Department of Economics there. Andrés Carvajal is an Associate Professor in the Department of Economics at University of California, Davis.
"I had the good fortune to grow up in a wonderful area of Jerusalem, surrounded by a diverse range of people: Rabbi Meizel, the communist Sala Marcel, my widowed Aunt Hannah, and the intellectual Yaacovson. As far as I'm concerned, the opinion of such people is just as authoritative for making social and economic decisions as the opinion of an expert using a model." Part memoir, part crash-course in economic theory, this deeply engaging book by one of the world's foremost economists looks at economic ideas through a personal lens. Together with an introduction to some of the central concepts in modern economic thought, Ariel Rubinstein offers some powerful and entertaining reflections on his childhood, family and career. In doing so, he challenges many of the central tenets of game theory, and sheds light on the role economics can play in society at large. Economic Fables is as thought-provoking for seasoned economists as it is enlightening for newcomers to the field.
How work can be organized efficiently and productively without hierarchy; how consumption could be fulfilling and also equitable; and how participatory is planning could promote solidarity and foster self-management.
Bowles and Halliday capture the intellectual excitement, analytical precision, and policy relevance of the new microeconomics that has emerged over the past decades. Drawing on themes of the classical economists from Smith through Marx and 20th century writers - including Hayek, Coase, and Arrow - the authors use twenty-first century analytical methods to address enduring challenges in economics. The subtitle of the work - Competition, conflict, and coordination - signals their focus on how the institutions of a modern capitalist economy work, introducing students to recent developments in the microeconomics of credit and labor markets with asymmetric information, a dynamic analysis of how firms compete going beyond price taking, as well as bargaining over the gains from exchange, social norms, and the exercise of power. The new benchmark model proposed by Bowles and Halliday is based on an empirical approach to economic actors and problems. They start from the premise that contracts are incomplete, and that as a result market failures, rather than being a special case illustrated by environmental spillovers, are to be expected in markets for labor, credit, knowledge and throughout the economy. They explain how experiments show that human motivations include ethical as well as other-regarding preferences (rather than entirely self-interested) and explain why the technologies of knowledge-based economies are a source of winner-take-all rather than stable competition. The authors also consider the intrinsic limits of mechanism design and governmental interventions in the economy. Teaching recent developments in microeconomic theory allows the authors to provide students with the tools to analyze and engage in informed debate on the issues that concern them most: climate change, inequality, innovation, and epidemic spread. Tradeoffs are highlighted by providing models in which capitalism can be seen as an "innovation machine" that raises material living standards on average, while at the same time sustaining levels of inequality that many find to be unfair. Digital formats and resources This title is available for students and institutions to purchase in a variety of formats and is supported by online resources. The e-book offers a mobile experience and convenient access to a variety of features that offer extra learning support. It allows students to engage in self-assessment activities, watch video material that further explains figures and mathematics, and offers the opportunity to work with interactive graphs to understand how the models work. Drawing on the authors' decades of teaching the new microeconomics, this title is supported by a range of online resources for students and lecturers including multiple-choice-questions with instant feedback, further mathematical and discussion-based questions, a fully customizable test bank for lecturer use, PowerPoint slides to accompany each chapter, worksheets that can be assigned to the class, and answers to the problems set in the book.
