Richard Norton - Böcker

Norton's Complex Variables for Scientists and Engineers is a new textbook, originally written for the Complex Analysis term of an undergraduate Mathematical Methods of Physics sequence at UCLA. It does not assume any prior knowledge of complex numbers or functions and is therefore suitable for a first course in the subject for undergraduate students who have had an introductory course in the standard calculus of real variables. The book provides a thorough grounding in the theory of complex functions. The mathematics is careful, yet accessible to any student who knows basic calculus. It covers the subjects essential in any scientific or engineering discipline that uses mathematics beyond the elementary level. The reader will find a clear presentation of complex differentiation and integration, Cauchy's theorem and integral formula, and infinite series and products. There is a long and thorough section on applying the residue theorem to the evaluation of real integrals, and a section on special functions and their integral representations. The book includes the conformal property of analytic functions and its applications to boundary value problems in electrostatics; a topological analysis that leads to the extension of the residue theorem to multiply-connected regions and contours; a section on the method of steepest descent; a section on the Riemann zeta function; and a discussion of the convergence of integral representations, which is rarely presented in detail in introductory texts. Those who want to see the mathematics done carefully, and who are looking for more than a 'cook-book' treatment that presents the basic techniques without exploring all the nooks and crannies of the subject, will find these sections especially satisfying. The preface suggests how to extract a bare-bones course for those in a hurry, without losing sight of the beauty and depth of the subjects.

Norton's Complex Variables for Scientists and Engineers is a new textbook, originally written for the Complex Analysis term of an undergraduate Mathematical Methods of Physics sequence at UCLA. It does not assume any prior knowledge of complex numbers or functions and is therefore suitable for a first course in the subject for undergraduate students who have had an introductory course in the standard calculus of real variables. The book provides a thorough grounding in the theory of complex functions. The mathematics is careful, yet accessible to any student who knows basic calculus. It covers the subjects essential in any scientific or engineering discipline that uses mathematics beyond the elementary level. The reader will find a clear presentation of complex differentiation and integration, Cauchy's theorem and integral formula, and infinite series and products. There is a long and thorough section on applying the residue theorem to the evaluation of real integrals, and a section on special functions and their integral representations. The book includes the conformal property of analytic functions and its applications to boundary value problems in electrostatics; a topological analysis that leads to the extension of the residue theorem to multiply-connected regions and contours; a section on the method of steepest descent; a section on the Riemann zeta function; and a discussion of the convergence of integral representations, which is rarely presented in detail in introductory texts. Those who want to see the mathematics done carefully, and who are looking for more than a 'cook-book' treatment that presents the basic techniques without exploring all the nooks and crannies of the subject, will find these sections especially satisfying. The preface suggests how to extract a bare-bones course for those in a hurry, without losing sight of the beauty and depth of the subjects.

Hailed as "absolutely the best reference book on its subject" by Newsweek, American Musical Theatre: A Chronicle covers more than 250 years of musical theatre in the United States, from a 1735 South Carolina production of Flora, or Hob in the Well to The Addams Family in 2010. Authors Gerald Bordman and Richard Norton write an engaging narrative blending history, critical analysis, and lively description to illustrate the transformation of American musical theatre through such incarnations as the ballad opera, revue, Golden Age musical, rock musical, Disney musical, and, with 2010's American Idiot, even the punk musical. The Chronicle is arranged chronologically and is fully indexed according to names of shows, songs, and people involved, for easy searching and browsing. Chapters range from the "Prologue", which traces the origins of American musical theater to 1866, through several "intermissions" (for instance, "Broadway's Response to the Swing Era, 1937-1942") and up to "Act Seven", the theatre of the twenty-first century. This last chapter covers the dramatic changes in musical theatre since the last edition published-whereas Fosse, a choreography-heavy revue, won the 1999 Tony for Best Musical, the 2008 award went to In the Heights, which combines hip-hop, rap, meringue and salsa unlike any musical before it. Other groundbreaking and/or box-office-breaking shows covered for the first time include Avenue Q, The Producers, Billy Elliot, Jersey Boys, Monty Python's Spamalot, Wicked, Hairspray, Urinetown the Musical, and Spring Awakening.Discussion of these shows incorporates plot synopses, names of principal players, descriptions of scenery and costumes, and critical reactions. In addition, short biographies interspersed throughout the text colorfully depict the creative minds that shaped the most influential musicals. Collectively, these elements create the most comprehensive, authoritative history of musical theatre in this country and make this an essential resource for students, scholars, performers, dramaturges, and musical enthusiasts.