Modern Mathematics for the Engineer: First Series
Part 1 of the Dover Books on Engineering series
This volume and its successor were conceived to advance the level of mathematical sophistication in the engineering community, focusing on material relevant to solving the kinds of problems regularly confronted. Volume One's three-part treatment covers mathematical models, probabilistic problems, and computational considerations. Contributors include Solomon Lefschetz, Richard Courant, and Norbert Wiener. 1956 edition.
Organic Chemistry, Volume One
Part I: Aliphatic Compounds Part II: Alicyclic Compounds
Part 1 of the Dover Books on Engineering series
A rich source of chemical facts, theories, and processes, this two-volume series treats the entire subject of organic chemistry. It has served for decades as a reference for chemists in industry and education as well as a classroom text for students with a year or more of experience in organic chemistry. Volume One provides thorough coverage of aliphatic compounds, devoting 500 pages to the physical properties and various methods of synthetic preparation of hydrocarbons, halides, alcohols, ethers, carbohydrates, proteins, ketones, amines, monobasic acids, and many other related compounds. The second part of this volume discusses alicyclic compounds, with reactions, isomers, and processes given for terpenes, cyclopropane derivatives, carotenoids, and the cholane series. Methods of synthetic preparation receive a critical analysis, and many biochemical compounds are described.
Modern Mathematics for the Engineer: Second Series
Part 2 of the Dover Books on Engineering series
The second in this two-volume series also contains original papers commissioned from many of the most prominent and accomplished mathematicians of the 20th century. A three-part treatment covers mathematical methods, statistical and scheduling studies, and physical phenomena. Contributors include William Feller, Stanislaw M. Ulam, and George Pólya. 1961 edition.
Blast Vibration Analysis
Part of the Dover Books on Engineering series
For the comprehension and analysis of blast vibrations, scientists and engineers require a sophisticated understanding of wave phenomena. Blast Vibration Analysis makes an important contribution to studies of the subject by focusing on the origin, transmission, and types of elastic wave in solid media. The approach covers physical laws involved in wave analysis as well as the mathematical tools needed to specify and analyze the variety of wave phenomena encountered in nature. G. A. Bollinger, a former professor of geophysics at Virginia Polytechnic Institute and State University, applies the analytical tools that have been so highly refined in earthquake engineering, earthquake seismology, and seismic exploration for petroleum - i.e., digital and spectral analyses - to the blast vibration problem. The text starts at an elementary level, carries the exposition to an intermediate level, and indicates the direction of more advanced consideration. Many informative tables, figures, graphs, charts, mathematical examples, and photographs of instruments appear throughout. Advanced undergraduate students, graduate students, and professionals in engineering and physics will find this treatment stimulating and suggestive of further areas of study and practice.
Principles of Aeroelasticity
by Raymond L. Bisplinghoff
Part of the Dover Books on Engineering series
Principles of Aeroelasticity constitutes an attempt to bring order to a group of problems which have coalesced into a distinct and mature subdivision of flight vehicle engineering. The authors have formulated a unifying philosophy of the field based on the equations of forced motion of the elastic flight vehicle. A distinction is made between static and dynamic phenomena, and beyond this the primary classification is by the number of independent space variables required to define the physical system.Following an introductory chapter on the field of aeroelasticity and its literature, the book continues in two major parts. Chapters 2 through 5 give general methods of constructing static and dynamic equations and deal specifically with the laws of mechanics for heated elastic solids, forms of aerodynamic operators, and structural operators. Chapters 6 through 10 survey the state of aeroelastic theory. The chapters proceed from simplified cases which have only a small, finite number of degrees of freedom, to one-dimensional systems (line structures), and finally to two-dimensional systems (plate- and shell-like structures).Chapter 9 combines some of the previous results by treating the unrestrained elastic vehicle in flight. All these chapters assume linear systems with properties independent of time, but Chapter 10 takes up the subject of systems which must be represented by nonlinear equations or by equations with time varying coefficients.
Network Analysis and Synthesis
A Modern Systems Theory Approach
Part of the Dover Books on Engineering series
Geared toward upper-level undergraduates and graduate students, this book offers a comprehensive look at linear network analysis and synthesis. It explores state-space synthesis as well as analysis, employing modern systems theory to unite the classical concepts of network theory. The authors stress passive networks but include material on active networks. They avoid topology in dealing with analysis problems and discuss computational techniques. The concepts of controllability, observability, and degree are emphasized in reviewing the state-variable description of linear systems. Explorations of positive real and bounded real functions and matrices include their applications to optimal control, filtering, and stability. Excellent illustrations highlight this text, which represents the definitive tool for integrating an understanding of network theory with related fields such as control theory and communication systems theory.
Structural Members and Frames
Part of the Dover Books on Engineering series
Geared toward graduate students and professionals in structural engineering, this text presents a detailed treatment of the elastic and inelastic behavior of metal beams, columns, beam-columns, and rigid frames. All four topics receive separate chapters, in which the background for their general behavior is discussed in terms of specific structural tests. The chapters also examine theoretical elastic behavior and the termination of usefulness by elastic buckling, behavior in the inelastic region, and the uses of various conceptual models in predicting inelastic instability. The final section of each chapter covers procedures and provides interpretations of structural specifications. Two additional chapters offer an introduction to the text and derive the differential equations governing the elastic deformations of prismatic thin-walled open members. Numerous examples throughout the treatment illustrate theory and applications.
Selected Papers on Noise and Stochastic Processes
Part of the Dover Books on Engineering series
Six classic papers on stochastic process, selected to meet the needs of physicists, applied mathematicians, and engineers. Contents: 1.Chandrasekhar, S.: Stochastic Problems in Physics and Astronomy. 2. Uhlenbeck, G. E. and Ornstein, L. S.: On the Theory of the Browninan Motion. 3. Ming Chen Wang and Uhlenbeck, G. E.: On the Theory of the Browninan Motion II. 4. Rice, S. O.: Mathematical Analysis of Random Noise. 5. Kac, Mark: Random Walk and the Theory of Brownian Motion. 6. Doob, J. L.: The Brownian Movement and Stochastic Equations. Unabridged republication of the Dover reprint (1954). Preface.
Scattering Theory
The Quantum Theory of Nonrelativistic Collisions
Part of the Dover Books on Engineering series
This graduate-level text is intended for any student of physics who requires a thorough grounding in the quantum theory of nonrelativistic scattering. It is designed for readers who are already familiar with the general principles of quantum mechanics and who have some small acquaintance with scattering theory. Study of this text will allow students of atomic or nuclear physics to begin reading the literature and tackling real problems, with a complete grasp of the underlying principles. For students of high-energy physics, it provides the necessary background for later study of relativistic problems. Topics are presented in terms of the simplest relevant example, so that scattering theory can be learned by becoming familiar with all of the basic concepts--the S operator, cross sections, the T matrix, and so forth--in their simplest context. The time-dependent approach to the subject is emphasized, starting with the use of time-dependent formalism to define all of the basic concepts and the subsequent introduction of the time-independent theory as a tool for computation and for establishing certain general properties. Problems at the end of each chapter improve and supplement readers' grasp of the material.
Digital and Kalman Filtering
An Introduction to Discrete-Time Filtering and Optimum Linear Estimation
Part of the Dover Books on Engineering series
This text for advanced undergraduates and graduate students provides a concise introduction to increasingly important topics in electrical engineering: digital filtering, filter design, and applications in the form of the Kalman and Wiener filters. The first half focuses on digital filtering, covering FIR and IIR filter design and other concepts. The second half addresses filtering noisy data to extract a signal, with chapters on non-recursive (FIR Wiener) estimation, recursive (Kalman) estimation, and optimum estimation of vector signals. The treatment is presented in tutorial form, but readers are assumed to be familiar with basic circuit theory, statistical averages, and elementary matrices. Central topics are developed gradually, including both worked examples and problems with solutions, and this second edition features new material and problems.
Aerodynamics of the Airplane
Part of the Dover Books on Engineering series
Written on the eve of World War II, this brief but intensive introduction by one of the founders of the Jet Propulsion Laboratory deals with the basic problems of aerodynamics. 1941 edition.