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Numerical Analysis and Scientific Computation
This text is intended for a first course in Numerical Analysis taken by students majoring in mathematics, engineering, computer science, and the sciences. This text emphasizes the mathematical ideas behind the methods and the idea of mixing methods for robustness. The optional use of MATLAB is incorporated throughout the text.
Numerical Analysis and Scientific Computation
This is an introductory single-term numerical analysis text with a modern scientific computing flavor. It offers an immediate immersion in numerical methods featuring an up-to-date approach to computational matrix algebra and an emphasis on methods used in actual software packages, always highlighting how hardware concerns can impact the choice of algorithm. It fills the need for a text that is mathematical enough for a numerical analysis course yet applied enough for students of science and engineering taking it with practical need in mind. The standard methods of numerical analysis are rigorously derived with results stated carefully and many proven. But while this is the focus, topics suc...
Finding Your Leadership Style
What makes a good educational leader? How can you be one? Is a job candidate an effective leader who can work with students and staff in your school or district? According to author Jeffrey Glanz, each of us has natural leadership abilities. Although no single leadership style is better than another, matching a person's style with an assignment leads to success for the person, his colleagues, and the organization. The key is to identify and actualize each person's natural leadership style. Full descriptions of the seven types of leaders--Dynamic Aggressives, Dynamic Assertives, Dynamic Supportives, Adaptive Aggressives, Adaptive Assertives, Adaptive Supportives, and Creative Assertives--affo...
Abstract Algebra
When a student of mathematics studies abstract algebra, he or she inevitably faces questions in the vein of, "What is abstract algebra" or "What makes it abstract?" Algebra, in its broadest sense, describes a way of thinking about classes of sets equipped with binary operations. In high school algebra, a student explores properties of operations (+, −, ×, and ÷) on real numbers. Abstract algebra studies properties of operations without specifying what types of number or object we work with. Any theorem established in the abstract context holds not only for real numbers but for every possible algebraic structure that has operations with the stated properties. This textbook intends to serv...
How To Become CEO
In How to Become CEO, consultant Jeffrey Fox has written an insightful book of traits to develop for aspiring CEOs, or for anyone who wants to get ahead in business. Open this book to any page and find a short, provocative piece of brutally honest advice written in a conversational tone. Each of the seventy-five 'rules' focuses on a specific action that should be taken, a trait that needs to be developed, or things to avoid. The words never and always are used frequently. These are smart, no-nonsense business messages that are meant to be revisited in your rise to the top. This is a book of hard-headed idealism that will empower you to develop leadership qualities: vision, persistence, integrity, and respect for superiors, subordinates, peers, and self. Anyone looking to climb the corporate ladder will be grateful for Fox's direct, pithy advice - the essentials to follow if you want to reach the top.
Transition to Advanced Mathematics
This unique and contemporary text not only offers an introduction to proofs with a view towards algebra and analysis, a standard fare for a transition course, but also presents practical skills for upper-level mathematics coursework and exposes undergraduate students to the context and culture of contemporary mathematics. The authors implement the practice recommended by the Committee on the Undergraduate Program in Mathematics (CUPM) curriculum guide, that a modern mathematics program should include cognitive goals and offer a broad perspective of the discipline. Part I offers: An introduction to logic and set theory. Proof methods as a vehicle leading to topics useful for analysis, topolog...
Differential Equations
Differential equations is one of the oldest subjects in modern mathematics. It was not long after Newton and Leibniz invented the calculus that Bernoulli and Euler and others began to consider the heat equation and the wave equation of mathematical physics. Newton himself solved differential equations both in the study of planetary motion and also in his consideration of optics. Today differential equations is the centerpiece of much of engineering, of physics, of significant parts of the life sciences, and in many areas of mathematical modeling. This text describes classical ideas and provides an entree to the newer ones. The author pays careful attention to advanced topics like the Laplace...
The Third Branch
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Applied Differential Equations
This book started as a collection of lecture notes for a course in differential equations taught by the Division of Applied Mathematics at Brown University. To some extent, it is a result of collective insights given by almost every instructor who taught such a course over the last 15 years. Therefore, the material and its presentation covered in this book were practically tested for many years. This text is designed for a two-semester sophomore or junior level course in differential equations. It offers novel approaches in presentation and utilization of computer capabilities. This text intends to provide a solid background in differential equations for students majoring in a breadth of fie...
An Introduction to Complex Analysis and the Laplace Transform
The aim of this comparatively short textbook is a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications. Several important applications in physics and engineering are considered in the book. This thorough presentation includes all theorems (with a few exceptions) presented with proofs. No previous exposure to complex numbers is assumed. The textbook can be used in one-semester or two-semester courses. In one respect this book is larger than usual, namely in the number of detailed solutions of typical problems. This, together with various problems, makes the book useful both for self- study and for the...
