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Elementary Linear Algebra: Applications Version

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Elementary Linear Algebra: Applications Version Cover

 

Synopses & Reviews

Publisher Comments:

A rigorous, yet accessible, introduction to essential topics in mathematical finance

Presented as a course on the topic, Quantitative Finance traces the evolution of financial theory and provides an overview of core topics associated with financial investments. With its thorough explanations and use of real-world examples, this book carefully outlines instructions and techniques for working with essential topics found within quantitative finance including portfolio theory, pricing of derivatives, decision theory, and the empirical behavior of prices.

The author begins with introductory chapters on mathematical analysis and probability theory, which provide the needed tools for modeling portfolio choice and pricing in discrete time. Next, a review of the basic arithmetic of compounding as well as the relationships that exist among bond prices and spot and forward interest rates is presented.? Additional topics covered include:

  • Dividend discount models

  • Markowitz mean-variance theory

  • The Capital Asset Pricing Model

  • Static?portfolio theory based on the expected-utility paradigm

  • Familiar probability models for marginal distributions of returns and the dynamic behavior of security prices

The final chapters of the book delve into the paradigms of pricing and present the application of martingale pricing in advanced models of price dynamics. Also included is a step-by-step discussion on the use of Fourier methods to solve for arbitrage-free prices when underlying price dynamics are modeled in realistic, but complex ways.

Throughout the book, the author presents insight on current approaches along with comments on the unique difficulties that exist in the study of financial markets. These reflections illustrate the evolving nature of the financial field and help readers develop analytical techniques and tools to apply in their everyday work. Exercises at the end of most chapters progress in difficulty, and selected worked-out solutions are available in the appendix. In addition, numerous empirical projects utilize MATLAB® and Minitab® to demonstrate the mathematical tools of finance for modeling the behavior of prices and markets. Data sets that accompany these projects can be found via the book's FTP site.

Quantitative Finance is an excellent book for courses in quantitative finance or financial engineering at the upper-undergraduate and graduate levels. It is also a valuable resource for practitioners in related fields including engineering, finance, and economics.

Synopsis:

When it comes to learning linear algebra, engineers trust Anton. The tenth edition presents the key concepts and topics along with engaging and contemporary applications. The chapters have been reorganized to bring up some of the more abstract topics and make the material more accessible. More theoretical exercises at all levels of difficulty are integrated throughout the pages, including true/false questions that address conceptual ideas. New marginal notes provide a fuller explanation when new methods and complex logical steps are included in proofs. Small-scale applications also show how concepts are applied to help engineers develop their mathematical reasoning.

Synopsis:

Elementary Linear Algebra 10th edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus. Technology also is not required, but for those who would like to use MATLAB, Maple, or Mathematica, or calculators with linear algebra capabilities, exercises are included at the ends of chapters that allow for further exploration using those tools.

A concluding chapter covers twenty applications of linear algebra drawn from business, economics, physics, computer science, ecology, genetics, and other disciplines. The applications are independent and each includes a list of mathematical prerequisites.

This text comes with WileyPLUS.

This online teaching and learning environment integrates the entire digital textbook with the most effective instructor and student resources to fit every learning style. With WileyPLUS:

Students achieve concept mastery in a rich, structured environment that’s available 24/7 Instructors personalize and manage their course more effectively with assessment, assignments, grade tracking, and more. WileyPLUS can complement the textbook or replace the printed text altogether.

Synopsis:

Elementary Linear Algebra 10th edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus. Technology also is not required, but for those who would like to use MATLAB, Maple, or Mathematica, or calculators with linear algebra capabilities, exercises are included at the ends of chapters that allow for further exploration using those tools.

A concluding chapter covers twenty applications of linear algebra drawn from business, economics, physics, computer science, ecology, genetics, and other disciplines. The applications are independent and each includes a list of mathematical prerequisites.

WileyPLUS sold separately from text.

About the Author

T. W. Epps, PhD, is Professor Emeritus of both Economics and Statistics at the University of Virginia.?A member of the American Finance Association, the American Statistical Association, and the Institute of Mathematical Statistics, Dr. Epps has published numerous journal articles in the areas of statistical theory, financial markets, time series analysis, and econometrics.

Table of Contents

CHAPTER 1    SYSTEMS OF LINEAR EQUATIONS AND MATRICES

CHAPTER 2    DETERMINANTS

CHAPTER 3    EUCLIDEAN VECTOR SPACES

CHAPTER 4    GENERAL VECTOR SPACES

CHAPTER 5    EIGNVALUES AND EIGENVECTORS

CHAPTER 6    INNER PRODUCT SPACES

CHAPTER 7    DIAGONALIZATION AND QUADRATIC FORMS

CHAPTER 8    LINEAR TRANSFORMATIONS

CHAPTER 9    NUMERICAL METHODS

CHAPTER 10  APPLICATIONS OF LINEAR ALGEBRA

Product Details

ISBN:
9780470432051
Author:
Anton, Howard
Publisher:
John Wiley & Sons
Author:
Anton Conley, Maria
Author:
Rorres, Chris
Author:
Epps, T. Wake
Subject:
Algebra - Linear
Subject:
Linear Algebra
Subject:
Mathematics-Linear Algebra
Subject:
Statistics
Subject:
Statistics for Finance, Business & Economics
Subject:
mathematical finance, Quantitative Finance, financial theory, portfolio theory, decision theory, pricing of primary assets, pricing of derivatives, empirical behavior of prices, financial economics, Markowitz mean-variance theory, dynamic portfolio theory
Copyright:
Edition Description:
10th Edition + WileyPLUS Registration Card
Publication Date:
20100412
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
792
Dimensions:
10.60x7.68x1.28 in. 3.24 lbs.

Related Subjects

Business » Investing
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Linear Algebra

Elementary Linear Algebra: Applications Version New Hardcover
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$225.80 In Stock
Product details 792 pages John Wiley & Sons - English 9780470432051 Reviews:
"Synopsis" by , When it comes to learning linear algebra, engineers trust Anton. The tenth edition presents the key concepts and topics along with engaging and contemporary applications. The chapters have been reorganized to bring up some of the more abstract topics and make the material more accessible. More theoretical exercises at all levels of difficulty are integrated throughout the pages, including true/false questions that address conceptual ideas. New marginal notes provide a fuller explanation when new methods and complex logical steps are included in proofs. Small-scale applications also show how concepts are applied to help engineers develop their mathematical reasoning.
"Synopsis" by , Elementary Linear Algebra 10th edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus. Technology also is not required, but for those who would like to use MATLAB, Maple, or Mathematica, or calculators with linear algebra capabilities, exercises are included at the ends of chapters that allow for further exploration using those tools.

A concluding chapter covers twenty applications of linear algebra drawn from business, economics, physics, computer science, ecology, genetics, and other disciplines. The applications are independent and each includes a list of mathematical prerequisites.

This text comes with WileyPLUS.

This online teaching and learning environment integrates the entire digital textbook with the most effective instructor and student resources to fit every learning style. With WileyPLUS:

Students achieve concept mastery in a rich, structured environment that’s available 24/7 Instructors personalize and manage their course more effectively with assessment, assignments, grade tracking, and more. WileyPLUS can complement the textbook or replace the printed text altogether.

"Synopsis" by , Elementary Linear Algebra 10th edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus. Technology also is not required, but for those who would like to use MATLAB, Maple, or Mathematica, or calculators with linear algebra capabilities, exercises are included at the ends of chapters that allow for further exploration using those tools.

A concluding chapter covers twenty applications of linear algebra drawn from business, economics, physics, computer science, ecology, genetics, and other disciplines. The applications are independent and each includes a list of mathematical prerequisites.

WileyPLUS sold separately from text.

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