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Lectures on modern mathematics
Book Notes INERTIALGUIDANCESENSORS, by J. M. Slater. 221 pages, diagrams, 6 X 9 in. New York, Reinhold Publishing Corp., 1964. Price, $11.00.
~/[ACI=IININGPRINCIPLES AND COST CONTROLS~
by R. G. Brierley and H. J. Siekmann. 254 pages, diagrams, illustrations, 6½ X 9¼ in. New York, McGraw-Hill Book Co., Inc., 1964. Price, $11.00.
This test examines the whole field of inertial guidance sensors in a way that makes it understandable to the interested non-specialist. The author illustrates the principles of operation of each of the maior types of sensing instruments, and describes their characteristic features, advantages and limitations for particular applications. In dealing with gyros, aceelerometers and optical trackers, the author has kept in mind not only the needs of those who invent and design the instruments, but also those who use them, in order to provide a working knowledge of operational principles and characteristics of the various types. To complete full coverage of the subject, the text contains valuable information on future instruments. Complex problems are clarified by the large number of diagrams and illustrations.
In concerning itself entirely with the economics of machining, this book discusses the means by which favorable cost control in machining can be achieved. Success in reducing costs is dependent on a knowledge of fundamentals, an optimum balance of costs that go into the machining, and the production rate and application of the best methods and techniques. This book includes ouly those subjects having direct bearing on the practical application of tools and the methods of obtaining t h e best economic results. Theory is kept to a minimum. A special feature of the book is the Hi-E Concept (for use in conjunction with the Hi-E Calculator) furnished with each book, making it possible to solve minimum cost and maximum production cutting speeds without resorting to complex mathematical calculations.
DYNAMICS O~ LINEAR SYSTEMS, by V. Dolezal.
EQUILIBRIUMTHERMODYNAMICS,by J. Coull and E. B. Stuart. 483 pages, diagrams, 6 X 9 in. New York, John Wiley & Sons, Inc., 1964. Price, $9.95.
224 pages, diagrams, 6½ X 9½ in. Prague, Czechoslovakia, Publishing House of the Czechoslovak Academy of Sciences, 1964. (No price). This book~ the result of several years of work by the author in the field of linear dynamic systems, aims to provide general and systematic treatment of linear system solutions based on up-to-date mathematical methods. Designed for electrical and mechanical engineers, it assumes that the reader is familiar with the fundamentals of analysis, Laplace transforms, theory of functions in complex variables and higher algebra• The first chapters develop the theory of systems with constant elements based on the theory of distributions, with emphasis on passive systems. Following chapters deal with systems of time-variable elements, and t h e last chapter presents some vahiable generalizations on results of classical network theory. Problems are included in each section for further apphcatmn of|thefloplcs considered. •
358
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.
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,
The authors have attempted to present here an engineering approach to classical thermodynamics. From the fundamentals of mathematics, chemistry and physics, the reader is led to non-equilibrium thermodynamics, statistical thermodynamics and non-equilibrium systems. Engineering undergraduate students will be interested in the problems and examples which are included, although the book is advanced enough for graduate courses. Entropy, free energy and other major concepts are introduced early so that these tools can be used when they appear in the work to be covered• LECTUI~ES ON MODERN ~/~ATHEMATICS, edited
by T. L. Saaty. Volume II, 183 pages, iN histrations, 5½ X 8¼ in. New York, John Wiley & Sons, Inc., 1964. Price, $5.75. This is the second volume in the series of lectures, iointly sponsored by the George Washington University and the Office of
Journal of The Franklin Institute
Book Notes. Naval Research, which were given in the spring and fall of 1963. Each of the eminent contributors delineates a substantial research area, describes it broadly and comprehensively, and contributes to this description his individual evaluation of the esthetic and practical aspects of the field, its position in mathematical development as a whole and its future. Contents and Contributors: "General Linear Partial Differential Equations," L. Nirenberg; "Generators and Relations in Groups-The Burnside Problem," Marshall Hall, Jr. ; "Some Aspects of the Topology of 3-Manifolds Related to the Poincare Conjecture," R. H. Bing; "Some Problems in the Theory of Partial Differential Equations," Lars Garding; "Quasicoifformal Mappings and Their Applications," Lars. V. Ahlfors; "Differential Topology," John Milnor. COMPUTER-ORIENTED MATHEMATICS: An In-
troduction to Numerical Methods, by L. D. Kovach. 98 pages, diagrams, 6 X 9 in. San Francisco, Calif., Holden-Day, Inc., 1964. Price, $3.95 (cloth), $2.95 (paper). An introduction to a fascinating and useful branch of mathematics, numerical mathematics, this book stresses those facets of the subject that are not directly related to computers, although the word "computer" appears in the title. Many examples are given to show that computer-oriented mathematics can be used to solve problems even though a computer is not available. In this respect alone, the book will interest and appeal to a wide audience, assuming only that the reader has a knowledge of high-school mathematics and some scientific curiosity. STANDARD ELECTRONICS QUESTIONS AND
ANSWERS, by S. M. Elonka and J. L. Bernstein. Vol. I : Basic Electronics. 232 pages, illustrations, 5½ X 8 in. Vol. I I : Industrial Applications. 452 pages, 5½ X 8 in. New York, McGraw-Hill Book Co., Inc., 1964. Price, $8.50 each, $15.95 the set. The growing importance of electronics in computers, automation, control and space technology, and the scarcity of adequately trained technicians in these areas, has created the need for practical answers to everyday operating and maintenance problems in all branches of the field. This two-volume set provides a comprehensive and dependable
c o l 27s, ~o. s, ~ovomber ,964
coverage of basic and practical electro nics Volume I offers the basic principles, in chapters entitled: Direct Current, Magnetism, Inductance and Capacitance, Alternating Current, Vacuum Tubes, Semiconductors and Transistors, Voltage Amplifiers, and Power Supplies. Volume I I gives the many basic industrial circuits in their simplest form and explains exactly what happens inside each circuit and device to make it function. Chapters are headed: Oscillators, Special Circuits, Transducers and Sensors, Control Systems, Closed-Circuits and Color TV, Industrial Processes and Devises, and Test Equipment. Simple, easy to understand line drawings add to the logical presentation of the subiect. ENGINEERS' GUIDE TO CENTRIFUGAL PUMPS,
by I. J. Karassik. 290 pages, diagrams, illustrations, 6 X 9 in. New York, McGrawHill Book Co., Inc., 1964. Price, $10.00. The material presented in this work was taken by the author from actual correspondence dealing with various problems encountered by users of centrifugal pumps. In its question-and-answer format, the book guides the reader in avoiding inadequate performance and excessive costs in maintenance and operation, and in diagnosing and solving field difficulties. In addition, it offers practical information in the selection of centrifugal pumps for fluid handling systems. By offering solutions to specific problems, rather than giving a theoretical treatment of the subject, engineers and users of centrifugal pumps will find this book extremely useful. ELECTRONICPRECISION MEASUREMENTTECHNIQUES AND EXPERIMENTS, by Staff Members, Philco Technological Center. 336 pages, diagrams, illustrations, 7 X 9¼ in. Englewood Cliffs, N. J., Prentice-Hall, Inc.~ 1964. Price, 813.00. This manual, prepared by the staff of the Philco Technological Center, provides a broad source of information on precision measurement techniques, with primary emphasis on electrical and electronic equipment. A large part of the work is devoted to the specia~ techniques required in calibrating test equip~ ment, including numerous exercises in the use. and calibration of typical precision measuring instruments. Of special interest are the appendices on conversion and correction data,.
359~
~/[ACI=IININGPRINCIPLES AND COST CONTROLS~
by R. G. Brierley and H. J. Siekmann. 254 pages, diagrams, illustrations, 6½ X 9¼ in. New York, McGraw-Hill Book Co., Inc., 1964. Price, $11.00.
This test examines the whole field of inertial guidance sensors in a way that makes it understandable to the interested non-specialist. The author illustrates the principles of operation of each of the maior types of sensing instruments, and describes their characteristic features, advantages and limitations for particular applications. In dealing with gyros, aceelerometers and optical trackers, the author has kept in mind not only the needs of those who invent and design the instruments, but also those who use them, in order to provide a working knowledge of operational principles and characteristics of the various types. To complete full coverage of the subject, the text contains valuable information on future instruments. Complex problems are clarified by the large number of diagrams and illustrations.
In concerning itself entirely with the economics of machining, this book discusses the means by which favorable cost control in machining can be achieved. Success in reducing costs is dependent on a knowledge of fundamentals, an optimum balance of costs that go into the machining, and the production rate and application of the best methods and techniques. This book includes ouly those subjects having direct bearing on the practical application of tools and the methods of obtaining t h e best economic results. Theory is kept to a minimum. A special feature of the book is the Hi-E Concept (for use in conjunction with the Hi-E Calculator) furnished with each book, making it possible to solve minimum cost and maximum production cutting speeds without resorting to complex mathematical calculations.
DYNAMICS O~ LINEAR SYSTEMS, by V. Dolezal.
EQUILIBRIUMTHERMODYNAMICS,by J. Coull and E. B. Stuart. 483 pages, diagrams, 6 X 9 in. New York, John Wiley & Sons, Inc., 1964. Price, $9.95.
224 pages, diagrams, 6½ X 9½ in. Prague, Czechoslovakia, Publishing House of the Czechoslovak Academy of Sciences, 1964. (No price). This book~ the result of several years of work by the author in the field of linear dynamic systems, aims to provide general and systematic treatment of linear system solutions based on up-to-date mathematical methods. Designed for electrical and mechanical engineers, it assumes that the reader is familiar with the fundamentals of analysis, Laplace transforms, theory of functions in complex variables and higher algebra• The first chapters develop the theory of systems with constant elements based on the theory of distributions, with emphasis on passive systems. Following chapters deal with systems of time-variable elements, and t h e last chapter presents some vahiable generalizations on results of classical network theory. Problems are included in each section for further apphcatmn of|thefloplcs considered. •
358
,
|~
.
r
,
The authors have attempted to present here an engineering approach to classical thermodynamics. From the fundamentals of mathematics, chemistry and physics, the reader is led to non-equilibrium thermodynamics, statistical thermodynamics and non-equilibrium systems. Engineering undergraduate students will be interested in the problems and examples which are included, although the book is advanced enough for graduate courses. Entropy, free energy and other major concepts are introduced early so that these tools can be used when they appear in the work to be covered• LECTUI~ES ON MODERN ~/~ATHEMATICS, edited
by T. L. Saaty. Volume II, 183 pages, iN histrations, 5½ X 8¼ in. New York, John Wiley & Sons, Inc., 1964. Price, $5.75. This is the second volume in the series of lectures, iointly sponsored by the George Washington University and the Office of
Journal of The Franklin Institute
Book Notes. Naval Research, which were given in the spring and fall of 1963. Each of the eminent contributors delineates a substantial research area, describes it broadly and comprehensively, and contributes to this description his individual evaluation of the esthetic and practical aspects of the field, its position in mathematical development as a whole and its future. Contents and Contributors: "General Linear Partial Differential Equations," L. Nirenberg; "Generators and Relations in Groups-The Burnside Problem," Marshall Hall, Jr. ; "Some Aspects of the Topology of 3-Manifolds Related to the Poincare Conjecture," R. H. Bing; "Some Problems in the Theory of Partial Differential Equations," Lars Garding; "Quasicoifformal Mappings and Their Applications," Lars. V. Ahlfors; "Differential Topology," John Milnor. COMPUTER-ORIENTED MATHEMATICS: An In-
troduction to Numerical Methods, by L. D. Kovach. 98 pages, diagrams, 6 X 9 in. San Francisco, Calif., Holden-Day, Inc., 1964. Price, $3.95 (cloth), $2.95 (paper). An introduction to a fascinating and useful branch of mathematics, numerical mathematics, this book stresses those facets of the subject that are not directly related to computers, although the word "computer" appears in the title. Many examples are given to show that computer-oriented mathematics can be used to solve problems even though a computer is not available. In this respect alone, the book will interest and appeal to a wide audience, assuming only that the reader has a knowledge of high-school mathematics and some scientific curiosity. STANDARD ELECTRONICS QUESTIONS AND
ANSWERS, by S. M. Elonka and J. L. Bernstein. Vol. I : Basic Electronics. 232 pages, illustrations, 5½ X 8 in. Vol. I I : Industrial Applications. 452 pages, 5½ X 8 in. New York, McGraw-Hill Book Co., Inc., 1964. Price, $8.50 each, $15.95 the set. The growing importance of electronics in computers, automation, control and space technology, and the scarcity of adequately trained technicians in these areas, has created the need for practical answers to everyday operating and maintenance problems in all branches of the field. This two-volume set provides a comprehensive and dependable
c o l 27s, ~o. s, ~ovomber ,964
coverage of basic and practical electro nics Volume I offers the basic principles, in chapters entitled: Direct Current, Magnetism, Inductance and Capacitance, Alternating Current, Vacuum Tubes, Semiconductors and Transistors, Voltage Amplifiers, and Power Supplies. Volume I I gives the many basic industrial circuits in their simplest form and explains exactly what happens inside each circuit and device to make it function. Chapters are headed: Oscillators, Special Circuits, Transducers and Sensors, Control Systems, Closed-Circuits and Color TV, Industrial Processes and Devises, and Test Equipment. Simple, easy to understand line drawings add to the logical presentation of the subiect. ENGINEERS' GUIDE TO CENTRIFUGAL PUMPS,
by I. J. Karassik. 290 pages, diagrams, illustrations, 6 X 9 in. New York, McGrawHill Book Co., Inc., 1964. Price, $10.00. The material presented in this work was taken by the author from actual correspondence dealing with various problems encountered by users of centrifugal pumps. In its question-and-answer format, the book guides the reader in avoiding inadequate performance and excessive costs in maintenance and operation, and in diagnosing and solving field difficulties. In addition, it offers practical information in the selection of centrifugal pumps for fluid handling systems. By offering solutions to specific problems, rather than giving a theoretical treatment of the subject, engineers and users of centrifugal pumps will find this book extremely useful. ELECTRONICPRECISION MEASUREMENTTECHNIQUES AND EXPERIMENTS, by Staff Members, Philco Technological Center. 336 pages, diagrams, illustrations, 7 X 9¼ in. Englewood Cliffs, N. J., Prentice-Hall, Inc.~ 1964. Price, 813.00. This manual, prepared by the staff of the Philco Technological Center, provides a broad source of information on precision measurement techniques, with primary emphasis on electrical and electronic equipment. A large part of the work is devoted to the specia~ techniques required in calibrating test equip~ ment, including numerous exercises in the use. and calibration of typical precision measuring instruments. Of special interest are the appendices on conversion and correction data,.
359~