# Introduction to Difference Equations (Dover Books on Mathematics)

## Samuel Goldberg

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( 4 valoraciones por Goodreads )

"The highest standards of logical clarity are maintained." — Bulletin of The American Mathematical Society
Written with exceptional lucidity and care, this concise text offers a rigorous introduction to finite differences and difference equations-mathematical tools with widespread applications in the social sciences, economics, and psychology.
The exposition is at an elementary level with little required in the way of mathematical background beyond some facility with standard algebraic techniques and the essentials of trigonometry. Moreover, the author explains when needed such relevant ideas as the function concept, mathematical induction, binomial formula, de Moivre's Theorem and more.
The book begins with a short introductory chapter showing how difference equations arise in the context of social science problems. Chapter One then develops essential parts of the calculus of finite differences. Chapter Two introduces difference equations and some useful applications in the social sciences: compound interest and amortization of debts, the classical Harrod-Domar-Hicks model for growth of national income, Metzler's pure inventory cycle, and others. Chapter Three treats linear differential equations with constant coefficients, including the important question of limiting behavior of solutions, which is discussed and applied to a variety of social science examples. Finally, Chapter Four offers concise coverage of equilibrium values and stability of difference equations, first-order equations and cobweb cycles, and a boundary-value problem. More extensive coverage is devoted to the relatively advanced concepts of generating functions and matrix methods for the solution of systems of simultaneous equations.
Throughout, numerous worked examples and over 250 problems, many with answers, enable students to test their grasp of definitions, theorems and applications. Ideal for an undergraduate course or self-study, this cogent treatment will be of interest to all mathematicians, and especially to social scientists, who will find it an excellent introduction to a powerful tool of theory and research.

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## 1.Introduction to Difference Equations

ISBN 10: 0486650847 ISBN 13: 9780486650845
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Paperbackshop-US
(Wood Dale, IL, Estados Unidos de America)
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Descripción 2010. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería V0-9780486650845

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## 2.Introduction to Difference Equations Format: Paperback

Editorial: Dover Publishers
ISBN 10: 0486650847 ISBN 13: 9780486650845
Librería
INDOO
(Avenel, NJ, Estados Unidos de America)
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Descripción Dover Publishers. Estado de conservación: New. Brand New. Nº de ref. de la librería 0486650847

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## 3.Introduction to Difference Equations (Paperback or Softback)

Editorial: Dover Publications 9/16/2010 (2010)
ISBN 10: 0486650847 ISBN 13: 9780486650845
Nuevos Paperback or Softback Cantidad: 1
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(Grand Rapids, MI, Estados Unidos de America)
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Descripción Dover Publications 9/16/2010, 2010. Paperback or Softback. Estado de conservación: New. Introduction to Difference Equations. Book. Nº de ref. de la librería BBS-9780486650845

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## 4.Introduction to Difference Equations

ISBN 10: 0486650847 ISBN 13: 9780486650845
Librería
Pbshop
(Wood Dale, IL, Estados Unidos de America)
Valoración

Descripción 2010. PAP. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9780486650845

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## 5.Introduction to Difference Equations (Dover Books on Mathematics)

Editorial: Dover Publications (1986)
ISBN 10: 0486650847 ISBN 13: 9780486650845
Librería
Murray Media
(North Miami Beach, FL, Estados Unidos de America)
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Descripción Dover Publications, 1986. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería 0486650847

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## 6.Introduction to Difference Equations (Paperback)

Editorial: Dover Publications Inc., United States (2010)
ISBN 10: 0486650847 ISBN 13: 9780486650845
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción Dover Publications Inc., United States, 2010. Paperback. Estado de conservación: New. New edition. Language: English . Brand New Book. The highest standards of logical clarity are maintained. -- Bulletin of The American Mathematical Society Written with exceptional lucidity and care, this concise text offers a rigorous introduction to finite differences and difference equations-mathematical tools with widespread applications in the social sciences, economics, and psychology. The exposition is at an elementary level with little required in the way of mathematical background beyond some facility with standard algebraic techniques and the essentials of trigonometry. Moreover, the author explains when needed such relevant ideas as the function concept, mathematical induction, binomial formula, de Moivre s Theorem and more. The book begins with a short introductory chapter showing how difference equations arise in the context of social science problems. Chapter One then develops essential parts of the calculus of finite differences. Chapter Two introduces difference equations and some useful applications in the social sciences: compound interest and amortization of debts, the classical Harrod-Domar-Hicks model for growth of national income, Metzler s pure inventory cycle, and others. Chapter Three treats linear differential equations with constant coefficients, including the important question of limiting behavior of solutions, which is discussed and applied to a variety of social science examples. Finally, Chapter Four offers concise coverage of equilibrium values and stability of difference equations, first-order equations and cobweb cycles, and a boundary-value problem. More extensive coverage is devoted to the relatively advanced concepts of generating functions and matrix methods for the solution of systems of simultaneous equations. Throughout, numerous worked examples and over 250 problems, many with answers, enable students to test their grasp of definitions, theorems and applications. Ideal for an undergraduate course or self-study, this cogent treatment will be of interest to all mathematicians, and especially to social scientists, who will find it an excellent introduction to a powerful tool of theory and research. Nº de ref. de la librería AAC9780486650845

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## 7.Introduction to Difference Equations (Paperback)

Editorial: Dover Publications Inc., United States (2010)
ISBN 10: 0486650847 ISBN 13: 9780486650845
Librería
The Book Depository
(London, Reino Unido)
Valoración

Descripción Dover Publications Inc., United States, 2010. Paperback. Estado de conservación: New. New edition. Language: English . Brand New Book. The highest standards of logical clarity are maintained. -- Bulletin of The American Mathematical Society Written with exceptional lucidity and care, this concise text offers a rigorous introduction to finite differences and difference equations-mathematical tools with widespread applications in the social sciences, economics, and psychology. The exposition is at an elementary level with little required in the way of mathematical background beyond some facility with standard algebraic techniques and the essentials of trigonometry. Moreover, the author explains when needed such relevant ideas as the function concept, mathematical induction, binomial formula, de Moivre s Theorem and more. The book begins with a short introductory chapter showing how difference equations arise in the context of social science problems. Chapter One then develops essential parts of the calculus of finite differences. Chapter Two introduces difference equations and some useful applications in the social sciences: compound interest and amortization of debts, the classical Harrod-Domar-Hicks model for growth of national income, Metzler s pure inventory cycle, and others. Chapter Three treats linear differential equations with constant coefficients, including the important question of limiting behavior of solutions, which is discussed and applied to a variety of social science examples. Finally, Chapter Four offers concise coverage of equilibrium values and stability of difference equations, first-order equations and cobweb cycles, and a boundary-value problem. More extensive coverage is devoted to the relatively advanced concepts of generating functions and matrix methods for the solution of systems of simultaneous equations. Throughout, numerous worked examples and over 250 problems, many with answers, enable students to test their grasp of definitions, theorems and applications. Ideal for an undergraduate course or self-study, this cogent treatment will be of interest to all mathematicians, and especially to social scientists, who will find it an excellent introduction to a powerful tool of theory and research. Nº de ref. de la librería AAC9780486650845

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## 8.Introduction to Difference Equations (Paperback)

Editorial: Dover Publications Inc., United States (2010)
ISBN 10: 0486650847 ISBN 13: 9780486650845
Librería
Book Depository hard to find
(London, Reino Unido)
Valoración

Descripción Dover Publications Inc., United States, 2010. Paperback. Estado de conservación: New. New edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. The highest standards of logical clarity are maintained. -- Bulletin of The American Mathematical Society Written with exceptional lucidity and care, this concise text offers a rigorous introduction to finite differences and difference equations-mathematical tools with widespread applications in the social sciences, economics, and psychology. The exposition is at an elementary level with little required in the way of mathematical background beyond some facility with standard algebraic techniques and the essentials of trigonometry. Moreover, the author explains when needed such relevant ideas as the function concept, mathematical induction, binomial formula, de Moivre s Theorem and more. The book begins with a short introductory chapter showing how difference equations arise in the context of social science problems. Chapter One then develops essential parts of the calculus of finite differences. Chapter Two introduces difference equations and some useful applications in the social sciences: compound interest and amortization of debts, the classical Harrod-Domar-Hicks model for growth of national income, Metzler s pure inventory cycle, and others. Chapter Three treats linear differential equations with constant coefficients, including the important question of limiting behavior of solutions, which is discussed and applied to a variety of social science examples. Finally, Chapter Four offers concise coverage of equilibrium values and stability of difference equations, first-order equations and cobweb cycles, and a boundary-value problem. More extensive coverage is devoted to the relatively advanced concepts of generating functions and matrix methods for the solution of systems of simultaneous equations. Throughout, numerous worked examples and over 250 problems, many with answers, enable students to test their grasp of definitions, theorems and applications. Ideal for an undergraduate course or self-study, this cogent treatment will be of interest to all mathematicians, and especially to social scientists, who will find it an excellent introduction to a powerful tool of theory and research. Nº de ref. de la librería BTE9780486650845

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## 9.Introduction to Difference Equations (Dover Books on Mathematics)

Editorial: Dover Publications
ISBN 10: 0486650847 ISBN 13: 9780486650845
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Descripción Dover Publications. PAPERBACK. Estado de conservación: New. 0486650847 *BRAND NEW* Ships Same Day or Next!. Nº de ref. de la librería NATARAJB1FI998289

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## 10.Introduction to Difference Equations (Dover Books on Mathematics)

Editorial: Dover Publications
ISBN 10: 0486650847 ISBN 13: 9780486650845
Librería
Lakeside Books
(Benton Harbor, MI, Estados Unidos de America)
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Descripción Dover Publications. PAPERBACK. Estado de conservación: New. 0486650847 BRAND NEW, GIFT QUALITY! NOT OVERSTOCKS OR MARKED UP REMAINDERS! DIRECT FROM THE PUBLISHER!|0.66. Nº de ref. de la librería OTF-Y-9780486650845

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