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A Course In Complex Analysis And Riemann Surfaces

RRP $258.99

Complex analysis is a cornerstone of mathematics, making it an essential element of any area of study in graduate mathematics. Schlag's treatment of the subject emphasizes the intuitive geometric underpinnings of elementary complex analysis that naturally lead to the theory of Riemann surfaces.

The book begins with an exposition of the basic theory of holomorphic functions of one complex variable. The first two chapters constitute a fairly rapid, but comprehensive course in complex analysis. The third chapter is devoted to the study of harmonic functions on the disk and the half-plane, with an emphasis on the Dirichlet problem. Starting with the fourth chapter, the theory of Riemann surfaces is developed in some detail and with complete rigor. From the beginning, the geometric aspects are emphasized and classical topics such as elliptic functions and elliptic integrals are presented as illustrations of the abstract theory. The special role of compact Riemann surfaces is explained, and their connection with algebraic equations is established. The book concludes with three chapters devoted to three major results: the Hodge decomposition theorem, the Riemann-Roch theorem, and the uniformization theorem. These chapters present the core technical apparatus of Riemann surface theory at this level.

This text is intended as a fairly detailed, yet fast-paced intermediate introduction to those parts of the theory of one complex variable that seem most useful in other areas of mathematics, including geometric group theory, dynamics, algebraic geometry, number theory, and functional analysis. More than seventy figures serve to illustrate concepts and ideas, and the many problems at the end of each chapter give the reader ample opportunity for practice and independent study.


Global Differential Geometry Of Surfaces

RRP $425.99

Writing this book, I had in my mind areader trying to get some knowledge of a part of the modern differential geometry. I concentrate myself on the study of sur- faces in the Euclidean 3-space, this being the most natural object for investigation. The global differential geometry of surfaces in E3 is based on two classical results: (i) the ovaloids (i.e., closed surfaces with positive Gauss curvature) with constant Gauss or mean curvature are the spheres, (u) two isometrie ovaloids are congruent. The results presented here show vast generalizations of these facts. Up to now, there is only one book covering this area of research: the Lecture Notes [3] written in the tensor slang. In my book, I am using the machinary of E. Cartan's calculus. It should be equivalent to the tensor calculus; nevertheless, using it I get better results (but, honestly, sometimes it is too complicated). It may be said that almost all results are new and belong to myself (the exceptions being the introductory three chapters, the few classical results and results of my post- graduate student Mr. M. AFWAT who proved Theorems V.3.1, V.3.3 and VIII.2.1-6).


Studies In Surface Science And Catalysis - Vol 140

RRP $48.00

This volume includes papers presented at the second International Workshop on "Oxide-based Systems at the Crossroads of Chemistry," held at Villa Olmo in Como, Italy, 8-11 October.
The selected papers present the highlights of recent research in the field of oxide structure. A wide range of oxidic materials, including real oxides, zeolites and layer-structured systems, is considered and described in terms of preparation methods, structural characterization and the relation between active sites, structure and catalytic properties. The application of the most powerful simulation and physical-chemical techniques show their usefulness in discovering and explaining structural and dynamic properties of complex materials. Moreover the development of sophisticated spectroscopical and analytical techniques are shown to significantly improve the growth of surface oxide science, generating new tools for the knowledge of catalyst structure and reaction mechanisms. An interesting feature is the inclusion of papers which show the mutual roles of experiment and theoretical models.


Professional Meeting Management

RRP $86.95

The sixth edition of Professional Meeting Management is the newest edition of the longtime standard reference and textbook for the meetings industry and meetings education. This is the first student and meeting professionals textbook aligned with the new Certified Meeting Professional (CMP) International Standards, which will be used by the Convention Industry Council as a reference book for item writing for the CMP Certification Examination. It includes the most up-to-date information on current trends, strategic planning for meetings, budgeting and funding, marketing and promotion, technology, running and closing the meeting, and industry developments on the horizon.


Surface-launched Acoustic Wave Sensors

RRP $516.99

With respect to chemical applications, surface-launched acoustic wave sensors were originally developed as sensing devices for specific chemical and biological species, but more recently have been applied to the study of thin film and interfacial properties. These devices exploit the phenomenon of piezoelectricity, the instigation of mechanical motion in solids by oscillating electrical fields. This book presents the principles of design and operation of these sensors and explores their traditional and emerging applications with a focus on devices that employ acoustic waves launched and received on the same surface. <p> <i>Surface-Launched Acoustic Wave Sensors</i> begins with a review of piezoelectricity and the genesis of acoustic wave devices, and the advent of chemical sensor technology. Subsequent chapters explore acoustic waves in solids and device structure, theory of acoustic wave response, and the various categories of acoustic wave device. The book describes the design of these devices and how they are applied in chemistry for the detection of species present in the gas and liquid phase, as well as the study of thin films placed on the sensor surface. Other topics covered include polymeric glass transitions, polymer properties, biosensor technology, and the development of sensor arrays. Each of the various types of device is examined with a view toward its application in chemistry in general and analytical chemistry in particular. <p> Presenting the most up-to-date information available on this rapidly evolving technology, and supplemented with scores of helpful illustrations and tables, Surface-Launched Acoustic Wave Sensors draws information from such diverse areas of scientific investigation as acoustic wave physics, applied mathematics, chemistry, electronics, fluid mechanics, materials science, piezoelectricity, and polymer science. The material presented on these topics is both self-consistent and readable for the nonexpertallowing industrial chemists, graduate students, and undergraduates to gain a deeper understanding of these devices, their designs, and applications. <p> This book concerns the design, operation, and application of devices capable of generating acoustic waves in the ultrasonic frequency range. The clear emphasis of the text is the study of chemical and/or biochemical systems imposed on the surface of such devices, whether operated in the gas or liquid phase, i.e., on acoustic wave chemical and biological sensors. Presenting the most up-to-date information available on this rapidly evolving technology, and supplemented with scores of helpful illustrations and tables, Surface-Launched Acoustic Wave Sensors: <ul> <li>Reviews piezoelectricity and the genesis of acoustic wave devices as well as the advent of chemical sensor technology <li>Explores acoustic waves in solids and device structure, theory of acoustic wave response, and the various categories of acoustic wave device <li>Describes device design and how these devices are applied in chemistry to detect species present in the gas and liquid phase, as well as to study thin films placed on the sensor surface <li>Covers polymeric glass transitions, polymer properties, biosensor technology, and the development of sensor arrays </ul>



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