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Information and information stability of random variables and processes
Book Notes ELEMENTS OF GENERAL TOPOLOGY~ by S. T .
Hu. 214 pages, diagrams, 6 X 9 in. San Francisco, Cal., Holden-Day, Inc., 1964. Price, $8.75. This is an introductory course in topology providing a systematic exposition of the essentials of the subiect. The first three chapters emphasize the basic concepts, fundamental properties, and important constructions. Proofs are presented and details usually omitted are included, the author preferring clarity over brevity. The last three chapters cover specific topological topics such as cellular polytopes, function spaces and fundamental groups. The text contains a complete bibliography on books and papers on general topology and a list of special symbols and abbreviations used. It should be of interest to laymen as well as specialists in the field. THE MITOCHONDRION,by A. L. Lehninger. 263 pages, diagrams, illustrations, 6 X 9 in. New York, W. A. Benjamin, Inc., 1964. Price, $9.00. This volume correlates and reviews all literature and data collected in recent years on the mitochondrion as a cell organelle. Emphasis throughout is on the molecular basis of the structure and function of these cellular "power plants." Many aspects which appear to constitute the major activities of the mitochondrion are examined, such as ion transport, membrane contractile phenomena, control and integration mechanisms, the molecular structure of the membrane, and the origin and biogenesis of these structures (with reports on the most recent developments). Illustrated, with sixteen electron micrographs, tables of data and many drawings, this book provides a key to the entire literature of the mitochondrion, a necessity for the research worker in this field. ~DENTIFICATION AND ANALYSIS OF SURF2.CE ACTIVE AGENTS BY INFRARED AND CHEMICAL METHODS, Volumes I & II, translated
from the German. Volume I; Text: 386 pages, diagrams, 6 X 9 in. Volume II, Spectra: 466 pages, diagrams, illustrations, 6 X 9 in. New York, John Wiley & Sons,
Inc., Interscience Div., 1964. Price, $20.00 (both volumes). These two volumes present a full coverage of available methods for the identification and analysis of surface-active agents, including a description of the relevant chemical and technological facts. They emphasize a comprehensive treatment of methods of infrared spectroscopic analysis, including spectral charts showing the characteristic absorption features of the different chemical types of surface-active agents. A chapter covers the methods of quantitative analysis of tensides, anion and cation and ethylene oxide adducts. For convenient reference, Volume II offers a collection of 466 spectra charts. NUCLEI AND ~ADIOACTIVITY, by G. R. Choppin. 150 pages, diagrams, illustrations, 5½ X 8½ in. New York, W. A. Benjamin; Inc., 1964. Price, $4.95 (cloth), $1.95 (paper). This book provides a detailed explanation of the basic properties of the nucleus, of radioactivity, radiation detection, nuclear fission, and covers the important areas of experimental and theoretical research. The use of nuclear reactors and accelerators is described at length. Nuclear models, such as the liquid drop and the shell, are used to explain both nuclear spectroscopy and nuclear reactions. The applications of radioactivity in chemistry and the nuclear industry, plus recent advances in the fields of agriculture and medicine through the use of radioisotopes, are discussed at length. Appendices on the biological effects of radiation, and a table of isotopes, as well as a glossary, axe included. INFORMATIONANDINFORMATIONST.4-BILITYOF RANDOMVARIABLESANDPROCESSES,by M. S. Pinsker, translated from the Russian. 243 pages, 6 X 9 in. San Francisco, Cal., Holden-Day, Inc., 1964. Price, $10.95. The present volume is devoted to information theory its investigations and applications. In Parts I and II the author gives a systematic account, with adequate mathematical rigor, of the properties of information density, information and information rate of random variables and processes. Most of Parts I and
223
Publications Received II are given to the study of criteria for information stability which plays a large role in the proofs of the basic theorems of information theory. Part III, almost half of the book, is devoted to calculating the information, information rate, and the higher moments of the information density of gaussian random variables and processes. It is assumed that the reader has a goodly knowledge of measure theory and stationary random processes theory. The large number of formulas given will also be useful to complement the concepts developed throughout the book. APPLIED PHYSICS, by H. W. Pollack. 770 pages, diagrams, 6 X 9 in. Englewood Cliffs, N. J., Prentice-Hall, Inc., 1964. Price, $13.25.
All conventional areas of physics are covered in this book: mechanics, fluids, heat, sound, electricity and light. Basic concepts of nuclear-atomic physics are introduced, with emphasis on illustrated problems, in order to understand underlying principles and to apply them adequately. Many topics such as the solution to truss problems, use of steam tables, hydraulics, etc., not included in the usual texts, are given special coverage here. Several distinctive features are included, as the section on electricity, for example. Circuit calculations and electrical instruments are presented at the beginning permitting almost immediate application of theory in the laboratory. A background in algebra and a collegelevel course in mathematics are recommended as basic for this text.
Publications Received QUANTUM MECHANICS, by H. A. Kramers. 486 pages, diagrams, 5½ X 8¼in. New York, Dover Publications, Inc., 1964. Price, $2.75 (Paper).
STRESS WAVESIN SOLIDS, by H. Koisky. 213 pages, diagrams, 5½ X 8½ in. New York, Dover Publications, Inc., 1964. Price, $1.55 (Paper).
STOICHIOMETRY AND STRUCTURE: F r e s h m a n
PARTIALDIFFERENTIALEQUATIONSOF MATHEMATICALPHYSICS, by A. N. Tychonov & A. A. Samarski, Russian Translation. 380 pages, diagrams, 7 X 9¼ in. San Francisco, Cal., Holden-Day, Inc., 1964. Price, $11.75.
chemistry problems and how to solve them. Part I, by M. J. Sienko. 345 pages, diagrams, 5½ X 82 in. New York, W. A. Benjamin, Inc., 1964. Price, $2.95 (Paper). LABORATORY TECHNIQUES IN BIOLOGY AND
MEDICINE, by V. M. Emmel and E. V. COWDRY. 453 pages, 6 X 9 in., Fourth Edition. Baltimore, Md., The Williams and Wilkins Co., 1964. Price, $15.50. MECHANICAL DETAILS FOR PRODUCT DE-
).IECHANICAL DESIGN ANALYSIS, by M. F. Sports. 428 pages, diagrams, illustrations, 7 × 9~ in. Englewood Cliffs, N. J., PrenticeHall, Inc., 1964. Price, $17.25. BASIC METHODSIN TRANSFERPROBLEMS, by V. Kourganoff. 281 pages, diagrams, 5½ X 8½ in. New York, Dover Publications, Inc., 1964. Price, $2.00 (Paper).
SIGN, edited by D. C. Greenwood. 337 pages, illustrations, 83 X 11 in. New York, McGraw-Hill Book Co., Inc., 1964. Price, $9.50.
ANALYTICAL AND CANONICAL FORMALISM IN
PIEZOELECTRICITY, 2 Volumes, by W. G. Cady. 822 pages, diagrams, 5½ X 8½ in. New York, Dover Publications, Inc., 1964. Price, $2.50 each volume (Paper).
PHYSICS, by A. Mercier. 222 pages, diagrams, 5½ X 8½ in. New York, Dover Publications, Inc., 1964. Price, $1.75 (Paper).
WAVE MECHANICS, by N. F. Mott & I. N. Sneddon, 388 pages, diagrams, 5½ X 8½ in. New York, Dover Publications, Inc., 1964. Price, $2.25 (Paper).
ENGINEERINGECONOMY,by H. G. Thuesen & W. J. Fabrycky. Third Edition, 525 pages, diagrams, 5½ X 8½ in. Englewood Cliffs, N. J., Prentice-Hall, Inc., 1964. Price, $12.00.
~24
Journal of The Franklin Institute
Hu. 214 pages, diagrams, 6 X 9 in. San Francisco, Cal., Holden-Day, Inc., 1964. Price, $8.75. This is an introductory course in topology providing a systematic exposition of the essentials of the subiect. The first three chapters emphasize the basic concepts, fundamental properties, and important constructions. Proofs are presented and details usually omitted are included, the author preferring clarity over brevity. The last three chapters cover specific topological topics such as cellular polytopes, function spaces and fundamental groups. The text contains a complete bibliography on books and papers on general topology and a list of special symbols and abbreviations used. It should be of interest to laymen as well as specialists in the field. THE MITOCHONDRION,by A. L. Lehninger. 263 pages, diagrams, illustrations, 6 X 9 in. New York, W. A. Benjamin, Inc., 1964. Price, $9.00. This volume correlates and reviews all literature and data collected in recent years on the mitochondrion as a cell organelle. Emphasis throughout is on the molecular basis of the structure and function of these cellular "power plants." Many aspects which appear to constitute the major activities of the mitochondrion are examined, such as ion transport, membrane contractile phenomena, control and integration mechanisms, the molecular structure of the membrane, and the origin and biogenesis of these structures (with reports on the most recent developments). Illustrated, with sixteen electron micrographs, tables of data and many drawings, this book provides a key to the entire literature of the mitochondrion, a necessity for the research worker in this field. ~DENTIFICATION AND ANALYSIS OF SURF2.CE ACTIVE AGENTS BY INFRARED AND CHEMICAL METHODS, Volumes I & II, translated
from the German. Volume I; Text: 386 pages, diagrams, 6 X 9 in. Volume II, Spectra: 466 pages, diagrams, illustrations, 6 X 9 in. New York, John Wiley & Sons,
Inc., Interscience Div., 1964. Price, $20.00 (both volumes). These two volumes present a full coverage of available methods for the identification and analysis of surface-active agents, including a description of the relevant chemical and technological facts. They emphasize a comprehensive treatment of methods of infrared spectroscopic analysis, including spectral charts showing the characteristic absorption features of the different chemical types of surface-active agents. A chapter covers the methods of quantitative analysis of tensides, anion and cation and ethylene oxide adducts. For convenient reference, Volume II offers a collection of 466 spectra charts. NUCLEI AND ~ADIOACTIVITY, by G. R. Choppin. 150 pages, diagrams, illustrations, 5½ X 8½ in. New York, W. A. Benjamin; Inc., 1964. Price, $4.95 (cloth), $1.95 (paper). This book provides a detailed explanation of the basic properties of the nucleus, of radioactivity, radiation detection, nuclear fission, and covers the important areas of experimental and theoretical research. The use of nuclear reactors and accelerators is described at length. Nuclear models, such as the liquid drop and the shell, are used to explain both nuclear spectroscopy and nuclear reactions. The applications of radioactivity in chemistry and the nuclear industry, plus recent advances in the fields of agriculture and medicine through the use of radioisotopes, are discussed at length. Appendices on the biological effects of radiation, and a table of isotopes, as well as a glossary, axe included. INFORMATIONANDINFORMATIONST.4-BILITYOF RANDOMVARIABLESANDPROCESSES,by M. S. Pinsker, translated from the Russian. 243 pages, 6 X 9 in. San Francisco, Cal., Holden-Day, Inc., 1964. Price, $10.95. The present volume is devoted to information theory its investigations and applications. In Parts I and II the author gives a systematic account, with adequate mathematical rigor, of the properties of information density, information and information rate of random variables and processes. Most of Parts I and
223
Publications Received II are given to the study of criteria for information stability which plays a large role in the proofs of the basic theorems of information theory. Part III, almost half of the book, is devoted to calculating the information, information rate, and the higher moments of the information density of gaussian random variables and processes. It is assumed that the reader has a goodly knowledge of measure theory and stationary random processes theory. The large number of formulas given will also be useful to complement the concepts developed throughout the book. APPLIED PHYSICS, by H. W. Pollack. 770 pages, diagrams, 6 X 9 in. Englewood Cliffs, N. J., Prentice-Hall, Inc., 1964. Price, $13.25.
All conventional areas of physics are covered in this book: mechanics, fluids, heat, sound, electricity and light. Basic concepts of nuclear-atomic physics are introduced, with emphasis on illustrated problems, in order to understand underlying principles and to apply them adequately. Many topics such as the solution to truss problems, use of steam tables, hydraulics, etc., not included in the usual texts, are given special coverage here. Several distinctive features are included, as the section on electricity, for example. Circuit calculations and electrical instruments are presented at the beginning permitting almost immediate application of theory in the laboratory. A background in algebra and a collegelevel course in mathematics are recommended as basic for this text.
Publications Received QUANTUM MECHANICS, by H. A. Kramers. 486 pages, diagrams, 5½ X 8¼in. New York, Dover Publications, Inc., 1964. Price, $2.75 (Paper).
STRESS WAVESIN SOLIDS, by H. Koisky. 213 pages, diagrams, 5½ X 8½ in. New York, Dover Publications, Inc., 1964. Price, $1.55 (Paper).
STOICHIOMETRY AND STRUCTURE: F r e s h m a n
PARTIALDIFFERENTIALEQUATIONSOF MATHEMATICALPHYSICS, by A. N. Tychonov & A. A. Samarski, Russian Translation. 380 pages, diagrams, 7 X 9¼ in. San Francisco, Cal., Holden-Day, Inc., 1964. Price, $11.75.
chemistry problems and how to solve them. Part I, by M. J. Sienko. 345 pages, diagrams, 5½ X 82 in. New York, W. A. Benjamin, Inc., 1964. Price, $2.95 (Paper). LABORATORY TECHNIQUES IN BIOLOGY AND
MEDICINE, by V. M. Emmel and E. V. COWDRY. 453 pages, 6 X 9 in., Fourth Edition. Baltimore, Md., The Williams and Wilkins Co., 1964. Price, $15.50. MECHANICAL DETAILS FOR PRODUCT DE-
).IECHANICAL DESIGN ANALYSIS, by M. F. Sports. 428 pages, diagrams, illustrations, 7 × 9~ in. Englewood Cliffs, N. J., PrenticeHall, Inc., 1964. Price, $17.25. BASIC METHODSIN TRANSFERPROBLEMS, by V. Kourganoff. 281 pages, diagrams, 5½ X 8½ in. New York, Dover Publications, Inc., 1964. Price, $2.00 (Paper).
SIGN, edited by D. C. Greenwood. 337 pages, illustrations, 83 X 11 in. New York, McGraw-Hill Book Co., Inc., 1964. Price, $9.50.
ANALYTICAL AND CANONICAL FORMALISM IN
PIEZOELECTRICITY, 2 Volumes, by W. G. Cady. 822 pages, diagrams, 5½ X 8½ in. New York, Dover Publications, Inc., 1964. Price, $2.50 each volume (Paper).
PHYSICS, by A. Mercier. 222 pages, diagrams, 5½ X 8½ in. New York, Dover Publications, Inc., 1964. Price, $1.75 (Paper).
WAVE MECHANICS, by N. F. Mott & I. N. Sneddon, 388 pages, diagrams, 5½ X 8½ in. New York, Dover Publications, Inc., 1964. Price, $2.25 (Paper).
ENGINEERINGECONOMY,by H. G. Thuesen & W. J. Fabrycky. Third Edition, 525 pages, diagrams, 5½ X 8½ in. Englewood Cliffs, N. J., Prentice-Hall, Inc., 1964. Price, $12.00.
~24
Journal of The Franklin Institute