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Analytic functions
I50
BOOK NOTES
PHOTOCHEMISTRY IN THE IAQUID AND SOLII) STATES, edited by l.awrence J. Heidt, Robert S. Livingston, Eugene Rabinowitch and Farrington Daniels. 174 pages, diagrams, 8½ X 11 in. New York, John Wiley & Sons, Inc., 1960. Price, $6.00. Based upon a synlposium sponsored by the National Academy of Sciences and the National Research Cotuleil, this volume contains the contributions of outstanding authorities in the field of photochemistry. The authors present the basic principles of photochemistry storage, survey the field of photochemical reactions, and state the requirements for reaction types which might prove useful for storing solar energy. Basic rcsearch findings are also presented with suggestions of areas for further research which can and will lead to the use of the sun as an important and inexpeusive source of energy. PRINCIPLES OF UNIT OPI:;RATIONS, by A. S. Foust, L. A. Wenzel, C. W. Clump, L. Mans and L. B. Andersen. 578 pages, diagrams, 8½ X 11 in. New York, John Wiley & Sons, Inc., 1960. Price, 815.00. This book breaks away from the traditional treatment of unit operations concept and offers a new approach t h a t is more economical in time. The unit-operations are presented as unified groups of operations stemming from identical fundamentals. The .developments are built up from a simplified physical model or a basic mathematical relation, or both, using generalized notation. After a thorough coverage of the simplified ulodels, the treatment progresses to the more complicated handling of realistic problems by applying the general eqnations to the specific operations. ANALYTIC FUNCTIONS, by L. V. Ahlfors, H. Behnke, L. Bers, H. Grauert, M. Heins, J. A. Jenkins, K. Kodaira, R. Nevanlinna and D. C. Spencer. 197 pages, diagrams, 6 X 9 in. Princeton, Princctoo University Press, 1960. Price, $5.00. This book contains one article each by the authors representing a comprehensive survey of recent developments both in the classical
[J. F. I.
and the modern fields of the theory of analytic functions, tn the article by Ahlfors, the space of closed Riemann surfaces is shown to possess a complex analytic structure iu which the periods of Abelian integrals are analytic functions. A survey of recent advances in the theory of complex spaces is presented by Behnke and Grauert. A proof of the Teichnmller-Ahlfors theorem based on the Beltrami equation is given by Bers. l.indeloef's principle and Martin's positive harmonic functions are the basic elements in a theory developed by Heins. New and old results on the coefficient problems for Schlieht functions are derived by Jenkins by a unified method. Analytic functions on manifolds of two complex dimensions are treated in the article by Kodaira. Nevanlinna presents a simplified proof of Liouville's classical theorem on conformal mappings in Euclidean spaces of dimension 2. Deformations of complex analytic manifolds are studied by Sl)encer. TIlE DYNAMIC BEIIAVIOR I)F THERMOELEC"rRIC DEVICES, by' Paul E. Gray. 136 pages, diagrams, 6 X 9 ill. Cambridge, The Technology Press of M.I.T.; New York, John Wiley & Sons, hm.; 1960. Price, $3.50. This volume investigates the small-signal dynamic behavior of thermoelectric devices. Exact analysis of thermoelectric heat pumps and generators is difficult because these devices are described by differential equations that contain product-type nonlinearities. But since the dynanfic behavior of these devices is of interest principally as a consequence of the requirement for control of the device, umch useful information can be obtained by a small-signal analysis. This approach permits the treatment of linear models that describe behavior of the devices. Analysis of these models produces a number of snmllsignal transfer-functions that can be used either to compute the response of devices in the frequency-domain, or to calculate the respouse of devices in the time domain. The results of this analysis can also be used to evaluate the quantitative el'feet of the materials and device parameters on the dynamic behavior of devices.
BOOK NOTES
PHOTOCHEMISTRY IN THE IAQUID AND SOLII) STATES, edited by l.awrence J. Heidt, Robert S. Livingston, Eugene Rabinowitch and Farrington Daniels. 174 pages, diagrams, 8½ X 11 in. New York, John Wiley & Sons, Inc., 1960. Price, $6.00. Based upon a synlposium sponsored by the National Academy of Sciences and the National Research Cotuleil, this volume contains the contributions of outstanding authorities in the field of photochemistry. The authors present the basic principles of photochemistry storage, survey the field of photochemical reactions, and state the requirements for reaction types which might prove useful for storing solar energy. Basic rcsearch findings are also presented with suggestions of areas for further research which can and will lead to the use of the sun as an important and inexpeusive source of energy. PRINCIPLES OF UNIT OPI:;RATIONS, by A. S. Foust, L. A. Wenzel, C. W. Clump, L. Mans and L. B. Andersen. 578 pages, diagrams, 8½ X 11 in. New York, John Wiley & Sons, Inc., 1960. Price, 815.00. This book breaks away from the traditional treatment of unit operations concept and offers a new approach t h a t is more economical in time. The unit-operations are presented as unified groups of operations stemming from identical fundamentals. The .developments are built up from a simplified physical model or a basic mathematical relation, or both, using generalized notation. After a thorough coverage of the simplified ulodels, the treatment progresses to the more complicated handling of realistic problems by applying the general eqnations to the specific operations. ANALYTIC FUNCTIONS, by L. V. Ahlfors, H. Behnke, L. Bers, H. Grauert, M. Heins, J. A. Jenkins, K. Kodaira, R. Nevanlinna and D. C. Spencer. 197 pages, diagrams, 6 X 9 in. Princeton, Princctoo University Press, 1960. Price, $5.00. This book contains one article each by the authors representing a comprehensive survey of recent developments both in the classical
[J. F. I.
and the modern fields of the theory of analytic functions, tn the article by Ahlfors, the space of closed Riemann surfaces is shown to possess a complex analytic structure iu which the periods of Abelian integrals are analytic functions. A survey of recent advances in the theory of complex spaces is presented by Behnke and Grauert. A proof of the Teichnmller-Ahlfors theorem based on the Beltrami equation is given by Bers. l.indeloef's principle and Martin's positive harmonic functions are the basic elements in a theory developed by Heins. New and old results on the coefficient problems for Schlieht functions are derived by Jenkins by a unified method. Analytic functions on manifolds of two complex dimensions are treated in the article by Kodaira. Nevanlinna presents a simplified proof of Liouville's classical theorem on conformal mappings in Euclidean spaces of dimension 2. Deformations of complex analytic manifolds are studied by Sl)encer. TIlE DYNAMIC BEIIAVIOR I)F THERMOELEC"rRIC DEVICES, by' Paul E. Gray. 136 pages, diagrams, 6 X 9 ill. Cambridge, The Technology Press of M.I.T.; New York, John Wiley & Sons, hm.; 1960. Price, $3.50. This volume investigates the small-signal dynamic behavior of thermoelectric devices. Exact analysis of thermoelectric heat pumps and generators is difficult because these devices are described by differential equations that contain product-type nonlinearities. But since the dynanfic behavior of these devices is of interest principally as a consequence of the requirement for control of the device, umch useful information can be obtained by a small-signal analysis. This approach permits the treatment of linear models that describe behavior of the devices. Analysis of these models produces a number of snmllsignal transfer-functions that can be used either to compute the response of devices in the frequency-domain, or to calculate the respouse of devices in the time domain. The results of this analysis can also be used to evaluate the quantitative el'feet of the materials and device parameters on the dynamic behavior of devices.