Bare Figures Bookkeeping
Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. Such a system is said to be weakly nonlinear. The small terms rendering the system nonlinear are referred to as perturbations. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations. We will be interested in systems that reduce to harmonic oscillators in the absence of perturbations. This book is devoted primarily to applied asymptotic methods in nonlinear oscillations which are associated with the names of N. M. Krylov, N. N. Bogoli- ubov and Yu. A. Mitropolskii. The advantages of the present methods are their simplicity, especially for computing higher approximations, and their applicability to a large class of quasi-linear problems. In this book, we confine ourselves basi- cally to the scheme proposed by Krylov, Bogoliubov as stated in the monographs [6,211. We use these methods, and also develop and improve them for solving new problems and new classes of nonlinear differential equations. Although these methods have many applications in Mechanics, Physics and Technique, we will illustrate them only with examples which clearly show their strength and which are themselves of great interest. A certain amount of more advanced material has also been included, making the book suitable for a senior elective or a beginning graduate course on nonlinear oscillations.
In honor of tax season, the price of this book will be cut to only $7.00. But hurry and get yours today because come April 15th, the price goes back to $9.99.****************************************No matter what industry a business is in, the one thing that most business owners avoid is bookkeeping. This book was designed specifically for those people who choose to avoid doing their books on a regular basis. It was created for small business owners and office managers to help quickly and easily catch up a company's books just in time for tax season. This book includes: * 11 Things You Will Need to Collect Before You Start* 10 Simple Steps to Enter Your Data * Tricks to Make QuickBooks do the Data Entry For You* A Simple Technique to Double Check and Reconcile your Work* And a List of What Your Accountant will Expect From You. This book is a quick easy read with lots of illustrated examples and very little "Industry Jargon." If you are looking for a fast read that will help you catch your books up at lightening speed, then this is the book for you. Oh...and Bookkeepers will like it too.
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