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Список книг автора Группа авторовGroups and Characters
An authoritative, full-year course on both group theory and ordinary character theory–essential tools for mathematics and the physical sciences One of the few treatments available combining both group theory and character theory, Groups and Characters is an effective general textbook on these two fundamentally connected subjects. Presuming only a basic knowledge of abstract algebra as in a first-year graduate course, the text opens with a review of background material and then guides readers carefully through several of the most important aspects of groups and characters, concentrating mainly on finite groups. Challenging yet accessible, Groups and Characters features: * An extensive collection of examples surveying many different types of groups, including Sylow subgroups of symmetric groups, affine groups of fields, the Mathieu groups, and symplectic groups * A thorough, easy-to-follow discussion of Polya-Redfield enumeration, with applications to combinatorics * Inclusive explorations of the transfer function and normal complements, induction and restriction of characters, Clifford theory, characters of symmetric and alternating groups, Frobenius groups, and the Schur index * Illuminating accounts of several computational aspects of group theory, such as the Schreier-Sims algorithm, Todd-Coxeter coset enumeration, and algorithms for generating character tables As valuable as Groups and Characters will prove as a textbook for mathematicians, it has broader applications. With chapters suitable for use as independent review units, along with a full bibliography and index, it will be a dependable general reference for chemists, physicists, and crystallographers.
Methods of Geometry
A practical, accessible introduction to advanced geometry Exceptionally well-written and filled with historical and bibliographic notes, Methods of Geometry presents a practical and proof-oriented approach. The author develops a wide range of subject areas at an intermediate level and explains how theories that underlie many fields of advanced mathematics ultimately lead to applications in science and engineering. Foundations, basic Euclidean geometry, and transformations are discussed in detail and applied to study advanced plane geometry, polyhedra, isometries, similarities, and symmetry. An excellent introduction to advanced concepts as well as a reference to techniques for use in independent study and research, Methods of Geometry also features: Ample exercises designed to promote effective problem-solving strategies Insight into novel uses of Euclidean geometry More than 300 figures accompanying definitions and proofs A comprehensive and annotated bibliography Appendices reviewing vector and matrix algebra, least upper bound principle, and equivalence relations An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.
Interior Point Algorithms
The first comprehensive review of the theory and practice of one of today's most powerful optimization techniques. The explosive growth of research into and development of interior point algorithms over the past two decades has significantly improved the complexity of linear programming and yielded some of today's most sophisticated computing techniques. This book offers a comprehensive and thorough treatment of the theory, analysis, and implementation of this powerful computational tool. Interior Point Algorithms provides detailed coverage of all basic and advanced aspects of the subject. Beginning with an overview of fundamental mathematical procedures, Professor Yinyu Ye moves swiftly on to in-depth explorations of numerous computational problems and the algorithms that have been developed to solve them. An indispensable text/reference for students and researchers in applied mathematics, computer science, operations research, management science, and engineering, Interior Point Algorithms: * Derives various complexity results for linear and convex programming * Emphasizes interior point geometry and potential theory * Covers state-of-the-art results for extension, implementation, and other cutting-edge computational techniques * Explores the hottest new research topics, including nonlinear programming and nonconvex optimization.
Physics of Plasmas
A short, self-sufficient introduction to the physics of plasma for beginners as well as researchers in a number of fields. The author looks at the dynamics and stability of magnetoplasma and discusses wave and transport in this medium. He also looks at such applications as fusion research using magnetic confinement of Deuterium plasma, solar physics with its plasma loops reaching high into the corona, sunspots and solar wind, engineering applications to metallurgy, MHD direct generation of electricity, and railguns, finally touching on the relatively new and difficult subject of dusty plasmas. The book includes mathematical notes and 99 exercises that supplement the theory presented and thus offers the beginner an easy introduction to this exciting field. It is an equally good textbook for final year undergraduates and first year research students.
Optimal Structural Analysis
This second edition of the highly acclaimed and successful first edition, deals primarily with the analysis of structural engineering systems, with applicable methods to other types of structures. The concepts presented in the book are not only relevant to skeletal structures but can equally be used for the analysis of other systems such as hydraulic and electrical networks. The book has been substantially revised to include recent developments and applications of the algebraic graph theory and matroids.
Theoretical Fluid Dynamics
Although there are many texts and monographs on fluid dynamics, I do not know of any which is as comprehensive as the present book. It surveys nearly the entire field of classical fluid dynamics in an advanced, compact, and clear manner, and discusses the various conceptual and analytical models of fluid flow. – Foundations of Physics on the first edition Theoretical Fluid Dynamics functions equally well as a graduate-level text and a professional reference. Steering a middle course between the empiricism of engineering and the abstractions of pure mathematics, the author focuses on those ideas and formulations that will be of greatest interest to students and researchers in applied mathematics and theoretical physics. Dr. Shivamoggi covers the main branches of fluid dynamics, with particular emphasis on flows of incompressible fluids. Readers well versed in the physical and mathematical prerequisites will find enlightening discussions of many lesser-known areas of study in fluid dynamics. This thoroughly revised, updated, and expanded Second Edition features coverage of recent developments in stability and turbulence, additional chapter-end exercises, relevant experimental information, and an abundance of new material on a wide range of topics, including: * Hamiltonian formulation * Nonlinear water waves and sound waves * Stability of a fluid layer heated from below * Equilibrium statistical mechanics of turbulence * Two-dimensional turbulence
Inside Your Calculator
Uncover the mysteries that lie within your calculator This remarkable book explores the simple internal calculator processes—algorithms and programs—that tell us, for example, that the cosine of 56? is 0.5591929035. Using carefully constructed diagrams and figures, the author effectively demonstrates how calculator keys compute powers, roots, logarithms, and trigonometry functions, while also providing insights into simple programming, the conversion between decimal and binary numeration, and perhaps most importantly, the structure of our numeration systems. Many people believe that the processes that drive calculators demand advanced mathematical concepts; however, this book proves that a minimal understanding of algebra and geometry is all that is needed to follow the step-by-step explanations of how scientific calculators work. Inside Your Calculator: From Simple Programs to Significant Insights is a complete and multifaceted exercise in critical thinking. This book features: A detailed explanation of how to use a graphics calculator and program basic functions A discussion of the history of mathematics when appropriate, which provides a foundation for further learning Fundamental mathematical lessons and interesting applications of pre-calculus mathematics A thorough review of the fundamentals of programming, algebra, and geometry needed to gain insight into why the algorithms work and how the results are meaningful in our lives While the simultaneous use of a calculator is not needed to gain insight into how the algorithms work, those who do have a programmable graphics calculator can experiment with the programs presented in the book. These programs may be used on TI-84 and TI-83 calculators, and additional information for other Texas Instruments calculators as well as the Casio FX series is available on the book's related web site. As a result of over fifty years of award-winning teaching experience in both high school and college classrooms, Dr. Rising anticipates and answers potential questions from readers, and he successfully brings this subject alive in an illuminating and entertaining way. This book is therefore not only ideal for undergraduate mathematics majors as either a primary or supplemental text, but it also appeals to anyone with an interest in mathematics and its ideas. View Dr. Rising's book presentation: http://www.youtube.com/watch?v=aqadHbc2YOA
Shakespeare and Music
This is a study of the rich and diverse range of musical responses to Shakespeare that have taken place from the seventeenth century onwards. Written from a literary perspective, the book explores the many genres and contexts in which Shakespeare and his work have enjoyed a musical afterlife discussing opera, ballet, and classical symphony alongside musicals and film soundtracks, as well as folk music and hip-hop traditions. Taking as its starting point ideas of creativity and improvisation stemming from early modern baroque practices and the more recent example of twentieth-century jazz adaptation, this volume explores the many ways in which Shakespeares plays and poems have been re-worked by musical composers. It also places these cultural productions in their own historical moment and context. Adaptation studies is a fast emerging field of scholarship and as a contribution to this field, Shakespeare and Music: Afterlives and Borrowings: develops theories and practices from adaptation studies to think about musical responses to Shakespeare across the centuries brings together in an exciting intellectual encounter ideas and methodologies deriving from literary criticism, theatre history, film studies, and musicology explores music in its widest context, looking at classical symphonies including the work of Berlioz and Elgar and operas by Verdi and Britten as well as Broadway musicals, film scores by Shostakovich, Walton, and contemporary performers, and the jazz adaptations of Duke Ellington and others. This is a timely study that will appeal to a wide readership from lovers of Shakespeare and classical music through to students of film and historians of the theatre.
Shakespeare's Sonnets
This introduction provides a concise overview of the central issues and critical responses to Shakespeare’s sonnets, looking at the themes, images, and structure of his work, as well as the social and historical circumstances surrounding their creation. Explores the biographical mystery of the identities of the characters addressed. Examines the intangible aspects of each sonnet, such as eroticism and imagination. A helpful appendix offers a summary of each poem with descriptions of key literary figures.
Shakespeare by Stages
In this engaging text, Arthur Kinney introduces students to Shakespeare’s plays in the context of Elizabethan and Jacobean theater. Introduces students to Shakespeare's plays in the context of Elizabethan and Jacobean theater. Focuses on the material conditions of playing and of playgoing. Covers venues, audiences, actors, society, government and regulation. Each topic is considered in relation to a selection of Shakespeare's plays. Shows students how the plays and the context in which they were produced illuminate one another.