Imagine a presidential election with four well-qualified and distinguished candidates and a serious debate over the future of the nation! Sound... impossible in this era of attack ads and strident partisanship? It happened nearly a century ago in 1912, when incumbent Republican William Howard Taft, former president Theodore Roosevelt running as the Progressive Party candidate, Democratic nominee Woodrow Wilson, and Socialist candidate Eugene V. Debs all spoke to major concerns of the American people and changed the landscape of national politics in the bargain. The presidential election of 1912 saw a third-party candidate finish second in both popular and electoral votes. The Socialist candidate received the highest percentage of the popular vote his party ever attained. In addition to year-round campaigning in the modern style, the 1912 contest featured a broader role for women, two exciting national conventions, and an assassination attempt on Roosevelt's life. The election defined the major parties for generations to come as the Taft-Roosevelt split pushed the Republicans to the right and the Democrats' agenda of reform set them on the road to the New Deal. Lewis L. Gould, one of America's preeminent political historians, tells the story of this dramatic race and explains its enduring significance. Basing his narrative on the original letters and documents of the candidates themselves, he guides his readers down the campaign trail through the factional splits, exciting primaries, tumultuous conventions and the turbulent fall campaign to Wilson's landslide electoral vote victory in November. It's all here-Gene Debs's challenge to capitalism, the progressive rivalry of Roosevelt and Robert La Follette, the debate between the New Freedom of Wilson and the New Nationalism of Roosevelt, and the resolve of Taft to defeat his one-time friend TR and keep the Republican Party in conservative hands. Gould combines lively anecdotes, the poetry and prose of the campaign, and insights into the clash of ideology and personality to craft a narrative that moves as fast as did the 1912 election itself. Americans sensed in 1912 that they stood at a turning point in the nation's history. Four Hats in the Ring demonstrates why the people who lived and fought this significant election were more right than they could ever have known.

Contents: Concert Rondo in E Flat Major (K. 371) · Concerto No. 1 in D Major (K. 412) · Concerto No. 2 in E Flat Major (K. 417) · Concerto No. 3 in E... Flat Major (K. 447) · Concerto No. 4 in E Flat Major (K. 495).

Uncovering the secrets behind the 1968 My Lai massacre in Vietnam, this is "a brutal, cautionary tale that serves as a painful reminder of the worst... that can happen in war."—Chicago Tribune.

The short works collected in Four Huts give voice to one of the most treasured aesthetic and spiritual ideals of Asia—that of a simple life lived in... a simple dwelling. The texts were written between the ninth and the seventeenth centuries and convey each author's underlying sense of the world and what is to be valued in it. Four Huts presents original translations by Burton Watson—one of the most respected translators of Chinese and Japanese literature. The qualities that emerge from these writings are an awareness of impermanence, love of nature, fondness for poetry and music, and an appreciation of the quiet life. Four Huts features eleven brush paintings by artist Stephen Addiss.

The author has provided a shop window for some of the ideas, techniques and elegant results of Fourier analysis, and for their applications. These range... from number theory, numerical analysis, control theory and statistics, to earth science, astronomy, and electrical engineering. Each application is placed in perspective with a short essay. The prerequisites are few (the reader with knowledge of second or third year undergraduate mathematics should have no difficulty following the text), and the style is lively and entertaining.

Fourier analysis is a mathematical technique for decomposing a signal into identifiable components. It is used in the study of all types of waves. ... This book explains the basic mathematical theory and some of the principal applications of Fourier analysis in areas ranging from sound and vibration to optics and CAT scanning. The author provides in-depth coverage of the techniques and includes exercises that demonstrate straightforward applications of formulas as well as more complex problems.

Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and... the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics. A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field. Key Features* Topics are covered from a historical perspective with biographical information on key contributors to the field* The text contains more than 500 exercises* Includes practical applications of the equations to problems in both engineering and physics

This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for... advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on generalized functions and Green's functions for ordinary and partial differential equations. The book deals almost exclusively with aspects of these subjects that are useful in physics and engineering, and includes a wide variety of applications. On the theoretical side, it uses ideas from modern analysis to develop the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs.

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are... motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions.The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression.In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

Fourier analysis encompasses a variety of perspectives and techniques. This volume presents the real variable methods of Fourier analysis introduced by... Calderón and Zygmund. The text was born from a graduate course taught at the Universidad Autónoma de Madrid and incorporates lecture notes from a course taught by José Luis Rubio de Francia at the same university. Motivated by the study of Fourier series and integrals, classical topics are introduced, such as the Hardy-Littlewood maximal function and the Hilbert transform. The remaining portions of the text are devoted to the study of singular integral operators and multipliers. Both classical aspects of the theory and more recent developments, such as weighted inequalities, $H^1$, $BMO$ spaces, and the $T1$ theorem, are discussed. Chapter 1 presents a review of Fourier series and integrals; Chapters 2 and 3 introduce two operators that are basic to the field: the Hardy-Littlewood maximal function and the Hilbert transform. Chapters 4 and 5 discuss singular integrals, including modern generalizations. Chapter 6 studies the relationship between $H^1$, $BMO$, and singular integrals; Chapter 7 presents the elementary theory of weighted norm inequalities. Chapter 8 discusses Littlewood-Paley theory, which had developments that resulted in a number of applications. The final chapter concludes with an important result, the $T1$ theorem, which has been of crucial importance in the field. This volume has been updated and translated from the Spanish edition that was published in 1995. Minor changes have been made to the core of the book; however, the sections, "Notes and Further Results" have been considerably expanded and incorporate new topics, results, and references. It is geared toward graduate students seeking a concise introduction to the main aspects of the classical theory of singular operators and multipliers. Prerequisites include basic knowledge in Lebesgue integrals and functional analysis.

This volume will serve several purposes: to provide an introduction for graduate students not previously acquainted with the material, to serve as a... reference for mathematical physicists already working in the field, and to provide an introduction to various advanced topics which are difficult to understand in the literature. Not all the techniques and application are treated in the same depth. In general, we give a very thorough discussion of the mathematical techniques and applications in quatum mechanics, but provide only an introduction to the problems arising in quantum field theory, classical mechanics, and partial differential equations. Finally, some of the material developed in this volume will not find applications until Volume III. For all these reasons, this volume contains a great variety of subject matter. To help the reader select which material is important for him, we have provided a "Reader's Guide" at the end of each chapter.

This comprehensive volume develops all of the standard features of Fourier analysis - Fourier series, Fourier transform, Fourier sine and cosine... transforms, and wavelets. The books approach emphasizes the role of the "selector" functions, and is not embedded in the usual engineering context, which makes the material more accessible to a wider audience. While there are several publications on the various individual topics, none combine or even include all of the above.

Fourier Methods in Imaging introduces the mathematical tools for modeling linear imaging systems to predict the action of the system or for solving for... the input. The chapters are grouped into five sections, the first introduces the imaging “tasks” (direct, inverse, and system analysis), the basic concepts of linear algebra for vectors and functions, including complex-valued vectors, and inner products of vectors and functions. The second section defines "special" functions, mathematical operations, and transformations that are useful for describing imaging systems. Among these are the Fourier transforms of 1-D and 2-D function, and the Hankel and Radon transforms. This section also considers approximations of the Fourier transform. The third and fourth sections examine the discrete Fourier transform and the description of imaging systems as linear "filters", including the inverse, matched, Wiener and Wiener-Helstrom filters. The final section examines applications of linear system models to optical imaging systems, including holography.Provides a unified mathematical description of imaging systems. Develops a consistent mathematical formalism for characterizing imaging systems. Helps the reader develop an intuitive grasp of the most common mathematical methods, useful for describing the action of general linear systems on signals of one or more spatial dimensions. Offers parallel descriptions of continuous and discrete cases. Includes many graphical and pictorial examples to illustrate the concepts. This book helps students develop an understanding of mathematical tools for describing general one- and two-dimensional linear imaging systems, and will also serve as a reference for engineers and scientists

Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary... value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations. The book is a thorough revision of the seventh edition and much care is taken to give the student fewer distractions when determining solutions of eigenvalue problems, and other topics have been presented in their own sections like Gibbs' Phenomenon and the Poisson integral formula.