Optimization Theory with Applications

29 February 2020 | By Donald A. Pierre | Filed in: applied mathematics.

Optimization 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

An Introduction to Decision Theory

29 February 2020 | By Martin Peterson | Filed in: applied mathematics.

This introduction to decision theory offers comprehensive and accessible discussions of decision making under ignorance and risk, the foundations of utility theory, the debate over subjective and objective probability, Bayesianism, causal decision theory, game theory, and social choice theory No

Design Analysis: Mathematical Modeling of Nonlinear Systems

29 February 2020 | By David E. Thompson | Filed in: applied mathematics.

An 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

29 February 2020 | By Kenneth H. Rosen | Filed in: applied mathematics.

Discrete 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

Mathematical Notation: A Guide for Engineers and Scientists

29 February 2020 | By Edward R. Scheinerman | Filed in: applied mathematics.

Mathematics is a language with a unique vocabulary, written with a dizzying array of often incomprehesnible symbols If we are unsure of the meaning or usage of a mathematical word, a quick internet search is invaluable But what are we to do when confronted with some strange mathematical

Introduction to Applied Mathematics

29 February 2020 | By Gilbert Strang | Filed in: applied mathematics.

Renowned 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

29 February 2020 | By Sam Parc | Filed in: applied mathematics.

Relax 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

29 February 2020 | By Jeffery M. Cooper | Filed in: applied mathematics.

The 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

29 February 2020 | By Ian Stewart | Filed in: applied mathematics.

In 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

29 February 2020 | By Kenneth R. Davidson | Filed in: applied mathematics.

This 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

29 February 2020 | By Donald Estep | Filed in: applied mathematics.

Background 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

29 February 2020 | By John A. Adam | Filed in: applied mathematics.

X 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