NATIONAL BESTSELLER • For anyone who wants to learn a foreign language, this is the method that will finally make the words stick. “A brilliant and thoroughly modern guide to learning new languages.”—Gary Marcus, cognitive psychologist and author of the New York Times bestseller Guitar Zero At thirty years old, Gabriel Wyner speaks six languages fluently. He didn’t learn them in school—who does? Rather, he learned them in the past few years, working on his own and practicing on the subway, using simple techniques and free online resources—and here he wants to show others what he’s discovered. Starting with pronunciation, you’ll learn how to rewire your ears and turn foreign sounds into familiar sounds. You’ll retrain your tongue to produce those sounds accurately, using tricks from opera singers and actors. Next, you’ll begin to tackle words, and connect sounds and spellings to imagery rather than translations, which will enable you to think in a foreign language. And with the help of sophisticated spaced-repetition techniques, you’ll be able to memorize hundreds of words a month in minutes every day. This is brain hacking at its most exciting, taking what we know about neuroscience and linguistics and using it to create the most efficient and enjoyable way to learn a foreign language in the spare minutes of your day.

Excerpt from The Direct Method of Teaching French As I was writing the Preface of my French text, La Classe en Frangais, I thought I heard the teachers not yet initiated in direct teaching ask, at almost every line, for some additional explanations. They will find them in the present little volume. It contains, together with the method of using La Classe en F fungais and the justification of its program, a complete technique concerning the direct explanation of words, and a detailed description of the exercises by which they may be fixed in the memory. This, and more particularly, perhaps, such of the examples given as go to make up the language used in conducting-the class, will smooth my young colleagues' way. And I hope that, confident in their method and sure of sucéess, they will see their pupils come joyfully to receive their. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Nečas’ book Direct Methods in the Theory of Elliptic Equations, published 1967 in French, has become a standard reference for the mathematical theory of linear elliptic equations and systems. This English edition, translated by G. Tronel and A. Kufner, presents Nečas’ work essentially in the form it was published in 1967. It gives a timeless and in some sense definitive treatment of a number issues in variational methods for elliptic systems and higher order equations. The text is recommended to graduate students of partial differential equations, postdoctoral associates in Analysis, and scientists working with linear elliptic systems. In fact, any researcher using the theory of elliptic systems will benefit from having the book in his library. The volume gives a self-contained presentation of the elliptic theory based on the "direct method", also known as the variational method. Due to its universality and close connections to numerical approximations, the variational method has become one of the most important approaches to the elliptic theory. The method does not rely on the maximum principle or other special properties of the scalar second order elliptic equations, and it is ideally suited for handling systems of equations of arbitrary order. The prototypical examples of equations covered by the theory are, in addition to the standard Laplace equation, Lame’s system of linear elasticity and the biharmonic equation (both with variable coefficients, of course). General ellipticity conditions are discussed and most of the natural boundary condition is covered. The necessary foundations of the function space theory are explained along the way, in an arguably optimal manner. The standard boundary regularity requirement on the domains is the Lipschitz continuity of the boundary, which "when going beyond the scalar equations of second order" turns out to be a very natural class. These choices reflect the author's opinion that the Lame system and the biharmonic equations are just as important as the Laplace equation, and that the class of the domains with the Lipschitz continuous boundary (as opposed to smooth domains) is the most natural class of domains to consider in connection with these equations and their applications.

English by the by Nature Method. The aim of the natural approach is to develop communicative skills, and it is primarily intended to be used with beginning learners.It is presented as a set of principles that can apply to a wide range of learners and teaching situations, and concrete objectives depend on the specific context in which it is used.Terrell outlines three basic principles of the approach: "Focus of instruction is on communication rather than its form." "Speech production comes slowly and is never forced." "Early speech goes through natural stages (yes or no response, one- word answers, lists of words, short phrases, complete sentences.)"These principles result in classrooms where the teacher emphasizes interesting, comprehensible input and low-anxiety situations.