Download or read book An Introduction to Differential Equations and Their Applications written by Stanley J. Farlow and published by Courier Corporation. This book was released on 2012-10-23 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.

Download or read book The Dynamics of Automatic Control Systems written by E. P. Popov and published by Elsevier. This book was released on 2014-05-09 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Dynamics of Automatic Control Systems focuses on the dynamics of automatic control systems and the fundamental results of the theory of automatic control. The discussion covers theoretical methods of analysis and synthesis of automatic control systems common to systems of various physical natures and designs. Concrete examples of the simplest functional circuits are presented to illustrate the principal ideas in the construction of automatic control systems and the application of the theoretical methods. Comprised of 19 chapters, this book begins by describing different forms of automatic control systems, with emphasis on open and closed loop automatic systems. The reader is then introduced to transients in automatic regulation systems; methods for improving the regulation process; and some problems in the theory of automatic regulation. Subsequent chapters deal with linearization and transformation of the differential equations of an automatic regulation system; stability criteria for ordinary linear systems; equations of systems with delay and with distributed parameters; and equations of nonlinear automatic regulation systems. The oscillations and stability of nonlinear systems are also considered. This monograph will be of interest to engineers and students.

Download or read book Celestial Encounters written by Florin Diacu and published by Princeton University Press. This book was released on 2020-12-08 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincaré submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincaré found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincaré's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations--the motions of the heavens--they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics. In presenting the modern theory of dynamical systems, the models underlying much of modern science are described pictorially, using the geometrical language invented by Poincaré. More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it.

Download or read book Russian Academicians and the Revolution written by Vera Tolz and published by Springer. This book was released on 1997-10-13 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: An examination of the early Soviet period of the Russian (Soviet) Academy of Sciences which focuses on the reactions of individual members of the academy to the new situation in which they found themselves after October 1917. Based on the extensive use of documents from the Archives of the Russian Academy of Sciences, the author discusses how the academicians justified their cooperation with the Bolsheviks and the ideological basis of the regime's policy towards the academy in the 1920s.

Download or read book Probability Random Processes and Statistical Analysis written by Hisashi Kobayashi and published by Cambridge University Press. This book was released on 2011-12-15 with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt: Together with the fundamentals of probability, random processes and statistical analysis, this insightful book also presents a broad range of advanced topics and applications. There is extensive coverage of Bayesian vs. frequentist statistics, time series and spectral representation, inequalities, bound and approximation, maximum-likelihood estimation and the expectation-maximization (EM) algorithm, geometric Brownian motion and Itô process. Applications such as hidden Markov models (HMM), the Viterbi, BCJR, and Baum–Welch algorithms, algorithms for machine learning, Wiener and Kalman filters, and queueing and loss networks are treated in detail. The book will be useful to students and researchers in such areas as communications, signal processing, networks, machine learning, bioinformatics, econometrics and mathematical finance. With a solutions manual, lecture slides, supplementary materials and MATLAB programs all available online, it is ideal for classroom teaching as well as a valuable reference for professionals.

Download or read book Dictionary of Mathematical Geosciences written by Richard J. Howarth and published by Springer. This book was released on 2017-05-27 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dictionary includes a number of mathematical, statistical and computing terms and their definitions to assist geoscientists and provide guidance on the methods and terminology encountered in the literature. Each technical term used in the explanations can be found in the dictionary which also includes explanations of basics, such as trigonometric functions and logarithms. There are also citations from the relevant literature to show the term’s first use in mathematics, statistics, etc. and its subsequent usage in geosciences.

Download or read book Periodic Systems written by Sergio Bittanti and published by Springer Science & Business Media. This book was released on 2009 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive treatment of the theory of periodic systems, including the problems of filtering and control. It covers an array of topics, presenting an overview of the field and focusing on discrete-time signals and systems.

Download or read book Approximating Perfection written by Leonid P. Lebedev and published by Princeton University Press. This book was released on 2015-07-28 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book for those who enjoy thinking about how and why Nature can be described using mathematical tools. Approximating Perfection considers the background behind mechanics as well as the mathematical ideas that play key roles in mechanical applications. Concentrating on the models of applied mechanics, the book engages the reader in the types of nuts-and-bolts considerations that are normally avoided in formal engineering courses: how and why models remain imperfect, and the factors that motivated their development. The opening chapter reviews and reconsiders the basics of calculus from a fully applied point of view; subsequent chapters explore selected topics from solid mechanics, hydrodynamics, and the natural sciences. Emphasis is placed on the logic that underlies modeling in mechanics and the many surprising parallels that exist between seemingly diverse areas. The mathematical demands on the reader are kept to a minimum, so the book will appeal to a wide technical audience.

Download or read book Differential Equations written by Marcelo Viana and published by American Mathematical Society. This book was released on 2021-12-07 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level introduction to ordinary differential equations combines both qualitative and numerical analysis of solutions, in line with Poincaré's vision for the field over a century ago. Taking into account the remarkable development of dynamical systems since then, the authors present the core topics that every young mathematician of our time—pure and applied alike—ought to learn. The book features a dynamical perspective that drives the motivating questions, the style of exposition, and the arguments and proof techniques. The text is organized in six cycles. The first cycle deals with the foundational questions of existence and uniqueness of solutions. The second introduces the basic tools, both theoretical and practical, for treating concrete problems. The third cycle presents autonomous and non-autonomous linear theory. Lyapunov stability theory forms the fourth cycle. The fifth one deals with the local theory, including the Grobman–Hartman theorem and the stable manifold theorem. The last cycle discusses global issues in the broader setting of differential equations on manifolds, culminating in the Poincaré–Hopf index theorem. The book is appropriate for use in a course or for self-study. The reader is assumed to have a basic knowledge of general topology, linear algebra, and analysis at the undergraduate level. Each chapter ends with a computational experiment, a diverse list of exercises, and detailed historical, biographical, and bibliographic notes seeking to help the reader form a clearer view of how the ideas in this field unfolded over time.

Download or read book Development Of Mathematics Between The World Wars The Case Studies Examples And Analyses written by Martina Becvarova and published by World Scientific. This book was released on 2021-05-14 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Development of Mathematics Between the World Wars traces the transformation of scientific life within mathematical communities during the interwar period in Central and Eastern Europe, specifically in Germany, Russia, Poland, Hungary, and Czechoslovakia. Throughout the book, in-depth mathematical analyses and examples are included for the benefit of the reader.World War I heavily affected academic life. In European countries, many talented researchers and students were killed in action and scientific activities were halted to resume only in the postwar years. However, this inhibition turned out to be a catalyst for the birth of a new generation of mathematicians, for the emergence of new ideas and theories and for the surprising creation of new and outstanding scientific schools.The final four chapters are not restricted to Central and Eastern Europe and deal with the development of mathematics between World War I and World War II. After describing the general state of mathematics at the end of the 19th century and the first third of the 20th century, three case studies dealing with selected mathematical disciplines are presented (set theory, potential theory, combinatorics), in a way accessible to a broad audience of mathematicians as well as historians of mathematics.

Download or read book Biomimetic Robotics written by Ranjan Vepa and published by Cambridge University Press. This book was released on 2009-01-26 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for a first course in robotics, especially in unmanned aerial or underwater vehicles.

Download or read book Homotopy Analysis Method in Nonlinear Differential Equations written by Shijun Liao and published by Springer Science & Business Media. This book was released on 2012-06-22 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution. Above all, it provides a convenient way to guarantee the convergence of a solution. This book consists of three parts. Part I provides its basic ideas and theoretical development. Part II presents the HAM-based Mathematica package BVPh 1.0 for nonlinear boundary-value problems and its applications. Part III shows the validity of the HAM for nonlinear PDEs, such as the American put option and resonance criterion of nonlinear travelling waves. New solutions to a number of nonlinear problems are presented, illustrating the originality of the HAM. Mathematica codes are freely available online to make it easy for readers to understand and use the HAM. This book is suitable for researchers and postgraduates in applied mathematics, physics, nonlinear mechanics, finance and engineering. Dr. Shijun Liao, a distinguished professor of Shanghai Jiao Tong University, is a pioneer of the HAM.

Download or read book National Union Catalog written by and published by . This book was released on 1981 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes entries for maps and atlases.

Download or read book Russian Mathematicians In The 20th Century written by Yakov Sinai and published by World Scientific. This book was released on 2003-10-08 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This invaluable book, which presents the main achievements of Russian mathematicians in that century, is the first most comprehensive book on Russian mathematicians. It has been produced as a gesture of respect and appreciation for those mathematicians and it will serve as a good reference and an inspiration for future mathematicians. It presents differences in mathematical styles and focuses on Soviet mathematicians who often discussed “what to do” rather than “how to do it”. Thus, the book will be valued beyond historical documentation.The editor, Professor Yakov Sinai, a distinguished Russian mathematician, has taken pains to select leading Russian mathematicians — such as Lyapunov, Luzin, Egorov, Kolmogorov, Pontryagin, Vinogradov, Sobolev, Petrovski and Krein — and their most important works. One can, for example, find works of Lyapunov, which parallel those of Poincaré; and works of Luzin, whose analysis plays a very important role in the history of Russian mathematics; Kolmogorov has established the foundations of probability based on analysis. The editor has tried to provide some parity and, at the same time, included papers that are of interest even today.The original works of the great mathematicians will prove to be enjoyable to readers and useful to the many researchers who are preserving the interest in how mathematics was done in the former Soviet Union.

Download or read book Hydraulicians in Europe 1800 2000 written by Willi Hager and published by CRC Press. This book was released on 2014-03-21 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than 850 individuals partly forgotten by name, but sometimes found in historical writings, together with many well known or recently deceased persons are presented in terms of bio-data, short career highlights, and main advances made to the profession with a short biography of the main writings. If available, a portrait is also included.

Download or read book Complexity intelligence Strategy A New Paradigmatic Shift written by Thow Yick Liang and published by World Scientific Publishing Company. This book was released on 2016-12-15 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Newtonian mindset has dominated the entire human world for more than three centuries. It has provided the necessary knowledge, theories and conceptual foundation that supported the industrial revolution, hierarchical leadership and governance, deliberate planning and strategy, and operational control of all organizations. However, over the last few decades, constraints and incoherency are emerging due to new accelerants and elevating complexity density. The new situation and dynamics, and the multi-dimensional changes require a fresh thinking and deeper comprehension that is beyond the boundaries of the exact sciences. As the continuality of human existence requires a new global order to be established, a paradigmatic shift is essential. This book provides the foundation for nurturing the new intelligence mindset that is critical in the present context. Fundamentally, the intelligence mindset encompasses intelligence/consciousness-centricity, complexity-centricity, network-centricity and stability-centricity, and constructionist thinking as its foundation pillars. The conceptual foundation of this new paradigmatic shift is presented as the intelligent organization theory, and the theory of relativistic complexity. The intelligent organization theory (encompassing iCAS, iCAD, self-centricity, stability-centricity, organizing around intelligence, localized order,..., mental cohesion) also provides a conceptual foundation to certain thinking and dynamics associated with Brexit and the current US under President Donald Trump.

Download or read book Probability Theory written by Marcelo Sampaio de Alencar and published by Momentum Press. This book was released on 2016-04-18 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability Theory is a classic topic in any course of exact sciences, that evolved from the amalgamation of different areas of mathematics, including set and measure theory. An axiomatic treatment of probability is presented in the book. Probability Theory is fundamental to several areas of knowledge, including engineering, computer science, mathematics, physics, sciences, economics, biology, medicine, social sciences and social communication. The book targets graduate students who may not have taken basic courses in these specific topics, and can provide a quick and concise way to obtain the knowledge they need to succeed in advanced courses.