International Series in Pure and Applied Mathematics WILLIAM TED MARTIN. CALCULUS OF VARIATIONS. PREFACE: There seems to have been published, up to the present time, no English language volume in which an elementary introduction to the calculus of variations is followed by extensive application of the subject to problems of physics and theoretical engineering. The present volume is offered as partial fulfillment of the need for such a book. Thus its chief purpose is twofold: ( i) To provide for the senior or first-year graduate student in mathe matics, science, or engineering an introduction to the ideas and techniques of the calculus of variations. ( The material of the first seven chapters with selected topics from the later chapters has been used several times as the subject matter of a 10-week course in the Mathematics Department at Stanford University.) ( ii) To illustrate the application of the calculus of variations in several fields outside the realm of pure mathematics. ( By far the greater emphasis is placed upon this second aspect of the book's purpose.) The range of topics considered may be determined at a glance in the table of contents. Mention here of some of the more significant omis sions may be pertinent: The vague, mechanical d method is avoided throughout. Thus, while no advantage is taken of a sometimes convenient shorthand tactic, there is eliminated a source of confusion which often grips the careful student when confronted with its use. No attempt is made to treat problems of sufficiency or existence: no consideration is taken of the second variation or of the conditions of Legendrc, Jacobi, and Weicrstrass. Besides being outside the scope of the chief aim of this book, these matters are excellently treated in the volumes of Bolza and Bliss listed in the Bibliography. Expansion theorems for the eigenfunctions associated with certain boundary-value problems are stated without proof. The proofs, beyond the scope of this volume, can be constructed, in most instances, on the basis of the theory of integral equations. Space limitations prevent inclusion of such topics as perturbation theory, heat flow, hydrodynamics, torsion and buckling of bars, Schwingcr's treatment of atomic scattering, and others. However, the reader who has mastered the essence of the material included should have little difficulty in applying the calculus of variations to most of the subjects which have been squeezed out.

We would expect a successful series such as Critical Issues in American Psychiatry and the Law to present timely, relevant issues in a high-quality manner, and such is the hallmark of this outstanding series. But we might not expect the editors to dive into the especially controversial issues, e.g., ethics, and I applaud them for doing so and in such a comprehensive and thorough fashion. Public and professional concern about ethical aspects of psychiatrists' be havior and practice is growing, and exponentially. Concern about the ethical practice of modern forensic psychiatry is paralleled by deep-seated apprehen sion not only about the ethical dilemmas of psychiatry and medicine (e.g., societal versus individual patient values, the corporatization of medicine, access to versus cost of medicine) but also about the widely publicized ethical trans gressions of religious and political leaders. That's why this volume is so timely and important. Ethics-the principles and rules of right conduct. Sounds simple. We know it is not. When I'm asked by colleagues to consider the perceived unethical behavior of a fellow professional, I often find that, like obscenity, they can't always define it but they are definite that they know it when they see it. The perception of ethical conduct often appears to be in the eyes of the beholder. read this volume. It may not always please you, Well, that's why you will want to it may upset you and even offend you, but it will definitely inform you."

This book details possible ethical situations and pitfalls that forensic psychiatric experts would commonly encounter when making a court testimony. Richly illustrated with cases from medicine, psychiatry, and law, this elegantly written volume examines the common moral ground that links these usually separate domains, and relates forensic ethics to larger concepts of morality and justice.

We would expect a successful series such as Critical Issues in American Psychiatry and the Law to present timely, relevant issues in a high-quality manner, and such is the hallmark of this outstanding series. But we might not expect the editors to dive into the especially controversial issues, e.g., ethics, and I applaud them for doing so and in such a comprehensive and thorough fashion. Public and professional concern about ethical aspects of psychiatrists' be havior and practice is growing, and exponentially. Concern about the ethical practice of modern forensic psychiatry is paralleled by deep-seated apprehen sion not only about the ethical dilemmas of psychiatry and medicine (e.g., societal versus individual patient values, the corporatization of medicine, access to versus cost of medicine) but also about the widely publicized ethical trans gressions of religious and political leaders. That's why this volume is so timely and important. Ethics-the principles and rules of right conduct. Sounds simple. We know it is not. When I'm asked by colleagues to consider the perceived unethical behavior of a fellow professional, I often find that, like obscenity, they can't always define it but they are definite that they know it when they see it. The perception of ethical conduct often appears to be in the eyes of the beholder. read this volume. It may not always please you, Well, that's why you will want to it may upset you and even offend you, but it will definitely inform you."

This book details possible ethical situations and pitfalls that forensic psychiatric experts would commonly encounter when making a court testimony. Richly illustrated with cases from medicine, psychiatry, and law, this elegantly written volume examines the common moral ground that links these usually separate domains, and relates forensic ethics to larger concepts of morality and justice.

This text is in two sections. the first part dealing with, background material, basic theorems and isoperimetric problems. The second part devoted to applications, geometrical optics, particle dynamics, he theory of elasticity, electrostatics, quantum mechanics and much more. Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.