This text is about the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It is an update of one of Academic Press's most successful mathematics texts ever published, which has become the standard textbook for graduate courses in this area. The authors are tops in the field of advanced mathematics. Steve Smale is a Field's Medalist, which equates to being a Nobel prize winner in mathematics. Bob Devaney has authored several leading books in this subject area. Linear algebra prerequisites toned down from first edition Inclusion of analysis of examples of chaotic systems, including Lorenz, Rosssler, and Shilnikov systems Bifurcation theory included throughout.
This text is about the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics.
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.
With its thorough coverage of analytic concepts, geometric concepts, programs and algorithms, and applications, this is an unsurpassed pedagogical tool.
This text's integrated applications and models, along with graphical and numerical procedures, motivate and explain mathematical techniques. Applied exercises are drawn from a variety of fields, including engineering and life sciences. Numerical methods are covered early and woven throughout the text. The author uses a spiraling approach to develop more abstract concepts so students aren't overwhelmed with definitions and theorems at first.
Introduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.
This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.
proceedings of a regional seminar held at the Regional English Language
Centre and International House, Singapore, May 19-20, 1975 Singapore Institute
of Standards and Industrial Research, United States. National Bureau of
Standards, ...
Teaching materials that introduce students to sentence writing, including: capitalization and punctuation, subjects, predicates, verbs, and complements.
You can write only one sentence at a time. After writing many, you will have
enough sentences to make a story. What if you wrote only the first sentence and
had everyone else you know write the rest of the sentences? In this activity, the
first ...
From proposal to examination, producing a dissertation or thesis is a challenge. Grounded in decades of experience with research training and supervision, this fully updated and revised edition takes an integrated, down-to-earth approach drawing on case studies and examples to guide you step-by-step towards productive success. Early chapters frame the tasks ahead and show you how to get started. From there, practical advice and illustrations take you through the elements of formulating research questions, working with software, and purposeful writing of each of the different kinds of chapters, and finishes with a focus on revision, dissemination and deadlines. How to Write a Better Thesis presents a cohesive approach to research that will help you succeed.
3. Mechanics. of. Writing. Given a structure, the next challenge is to actually begin writing. Strategies for writing are the subject of the next chapter. In this chapter, I
take a brief detour and consider some of the tools of writing and communication.
Paragraph-Writing Tournament Divide the class into teams of three or four. Give
each team captain one of the topic sentence strips below. If you prefer, you may
give each team captain the same topic sentence for each round. At your signal ...
