Optimization Theory with Applications

Optimization Theory with ApplicationsOptimization principles are of undisputed importance in modern design and system operation They can be used for many purposes optimal design of systems, optimal operation of systems, determination of performance limitations of systems, or simply the solution of sets of equations While most books

Design Analysis: Mathematical Modeling of Nonlinear Systems

Design Analysis: Mathematical Modeling of Nonlinear SystemsAn integral part of engineering design is the development of models that describe physical behavior or phenomena in mathematical terms As engineering systems have become complex, classic linear methods of modeling and analysis have proved inadequate, creating a need for nonlinear models to

Discrete Mathematics and Its Applications

Discrete Mathematics and Its ApplicationsDiscrete Mathematics and its Applications is a focused introduction to the primary themes in a discrete mathematics course, as introduced through extensive applications, expansive discussion, and detailed exercise sets These themes include mathematical reasoning, combinatorial analysis, discrete

Introduction to Applied Mathematics

Introduction to Applied MathematicsRenowned applied mathematician Gilbert Strang teaches applied mathematics with the clear explanations, examples and insights of an experienced teacher This book progresses steadily through a range of topics from symmetric linear systems to differential equations to least squares and Kalman

50 Visions of Mathematics

50 Visions of MathematicsRelax no one understands technical mathematics without lengthy training but we all have an intuitive grasp of the ideas behind the symbols To celebrate the 50th anniversary of the founding of the Institute of Mathematics and its Applications IMA , this book is designed to showcase the beauty of

Working Analysis

Working AnalysisThe text is for a two semester course in advanced calculus It develops the basic ideas of calculus rigorously but with an eye to showing how mathematics connects with other areas of science and engineering In particular, effective numerical computation is developed as an important aspect of

In Pursuit of the Unknown: 17 Equations That Changed the World

In Pursuit of the Unknown: 17 Equations That Changed the WorldIn In Pursuit of the Unknown, celebrated mathematician Ian Stewart uses a handful of mathematical equations to explore the vitally important connections between math and human progress We often overlook the historical link between mathematics and technological advances, says Stewart but this

Real Analysis and Applications: Theory in Practice

Real Analysis and Applications: Theory in PracticeThis new approach to real analysis stresses the use of the subject with respect to applications, i.e., how the principles and theory of real analysis can be applied in a variety of settings in subjects ranging from Fourier series and polynomial approximation to discrete dynamical systems and

Practical Analysis in One Variable

Practical Analysis in One VariableBackground I was an eighteen year old freshman when I began studying analysis I had arrived at Columbia University ready to major in physics or perhaps engineering But my seduction into mathematics began immediately with Lipman Bers calculus course, which stood supreme in a year of exciting

X and the City: Modeling Aspects of Urban Life

X and the City: Modeling Aspects of Urban LifeX and the City, a book of diverse and accessible math based topics, uses basic modeling to explore a wide range of entertaining questions about urban life How do you estimate the number of dental or doctor s offices, gas stations, restaurants, or movie theaters in a city of a given size How can

Who's #1? The Science of Rating and Ranking

Who's #1?  The Science of Rating and RankingAmy Langville and Carl Meyer provide the first comprehensive overview of the mathematical algorithms and methods used to rate and rank sports teams, political candidates, products, web pages, and In a series of interesting asides, Langville and Meyer provide fascinating insights into the

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