{"product_id":"advanced-mathematics-for-economists-isbn-9780631141396","title":"Advanced Mathematics for Economists","description":"This book contains a compact, accessible treatment of the main mathematical topics encountered in economics at an advanced level, moving from basic material into the twin areas of static and dynamic optimization.  \u003cp\u003eNearly half of the book is devoted to a survey of univariate calculus, matrix algebra and multuvariate calculus. This fundamental material is made vigorous by the inclusion of a variety of applications. The later chapters focus on the Lagrange multiplier technique: when it will work, why it works and what economic insights it yields. The properties of maximum value functions and duality are explored, as are the Hamiltonian conditions for dynamic problems in the optimal control format. Dynamic programming and the calculus of variations are also covered.\u003c\/p\u003e \u003cp\u003e\u003cbr\u003e Much of the discussion proceeds at a heuristic level and by worked example, but the theorems and proofs required by the most analytical user are also to be found. The underlying message is that the language of mathematics can be productive, giving expression to the ideas and facilitating approaches from which insights flow that may be hard to come by in other ways.\u003c\/p\u003e \u003cp\u003eThe book will be particularly useful for final year undergraduates doing mathematics for economists courses, and postgraduate students.\u003c\/p\u003e Preface ix\u003cbr\u003e\u003cbr\u003eGlossary of Notation xi\u003cbr\u003e\u003cbr\u003ePART I BASIC MATERIAL\u003cbr\u003e\u003cbr\u003e1 Univariate Calculus 1\u003cbr\u003e\u003cbr\u003e2 Matrix Algebra 39\u003cbr\u003e\u003cbr\u003e3 Multivariate Calculus 72\u003cbr\u003e\u003cbr\u003ePART II STATIC AND DYNAMIC OPTIMIZATION\u003cbr\u003e\u003cbr\u003e4 Equality-Constrained Optimization 101\u003cbr\u003e\u003cbr\u003e5 Inequality-Constrained Optimization 115\u003cbr\u003e\u003cbr\u003e6 The Maximum Value Function 140\u003cbr\u003e\u003cbr\u003e7 Dynamic Optimization 160\u003cbr\u003e\u003cbr\u003eAppendix 205\u003cbr\u003e\u003cbr\u003eReferences 211\u003cbr\u003e\u003cbr\u003eAnswers to exercises 214\u003cbr\u003e\u003cbr\u003eIndex 227  \u003cp\u003ePeter J. Lambert is the author of Advanced Mathematics for Economists: Static and Dynamic Optimization, published by Wiley.   This book contains a compact, accessible treatment of the main mathematical topics encountered in economics at an advanced level, moving from basic material into the twin areas of static and dynamic optimization.  \u003c\/p\u003e\u003cp\u003eNearly half of the book is devoted to a survey of univariate calculus, matrix algebra and multuvariate calculus. This fundamental material is made vigorous by the inclusion of a variety of applications. The later chapters focus on the Lagrange multiplier technique: when it will work, why it works and what economic insights it yields. The properties of maximum value functions and duality are explored, as are the Hamiltonian conditions for dynamic problems in the optimal control format. Dynamic programming and the calculus of variations are also covered.\u003c\/p\u003e \u003cp\u003e\u003cbr\u003e Much of the discussion proceeds at a heuristic level and by worked example, but the theorems and proofs required by the most analytical user are also to be found. The underlying message is that the language of mathematics can be productive, giving expression to the ideas and facilitating approaches from which insights flow that may be hard to come by in other ways.\u003c\/p\u003e \u003cp\u003eThe book will be particularly useful for final year undergraduates doing mathematics for economists courses, and postgraduate students.\u003c\/p\u003e","brand":"Wiley-Blackwell","offers":[{"title":"Default Title","offer_id":47988668039397,"sku":"NP9780631141396","price":50.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780631141396.jpg?v=1761781189","url":"https:\/\/k12savings.com\/es\/products\/advanced-mathematics-for-economists-isbn-9780631141396","provider":"K12savings","version":"1.0","type":"link"}