On the Solutions of the Differential Equations of Motion of a Double Pendulum
Author: William Emanuel Cederberg
Publisher:
Published: 1923
Total Pages: 84
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: William Emanuel Cederberg
Publisher:
Published: 1923
Total Pages: 84
ISBN-13:
DOWNLOAD EBOOKAuthor: William E. Cederberg
Publisher:
Published: 1920
Total Pages: 62
ISBN-13:
DOWNLOAD EBOOKAuthor: David D. Nolte
Publisher: Oxford University Press
Published: 2018-07-12
Total Pages: 384
ISBN-13: 0192528505
DOWNLOAD EBOOKGalileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.
Author: William Emanuel Cederberg
Publisher:
Published: 1923
Total Pages: 66
ISBN-13:
DOWNLOAD EBOOKAuthor: Michael E. Taylor
Publisher: American Mathematical Soc.
Published: 2021-10-21
Total Pages: 388
ISBN-13: 1470467623
DOWNLOAD EBOOKThis text introduces students to the theory and practice of differential equations, which are fundamental to the mathematical formulation of problems in physics, chemistry, biology, economics, and other sciences. The book is ideally suited for undergraduate or beginning graduate students in mathematics, and will also be useful for students in the physical sciences and engineering who have already taken a three-course calculus sequence. This second edition incorporates much new material, including sections on the Laplace transform and the matrix Laplace transform, a section devoted to Bessel's equation, and sections on applications of variational methods to geodesics and to rigid body motion. There is also a more complete treatment of the Runge-Kutta scheme, as well as numerous additions and improvements to the original text. Students finishing this book will be well prepare
Author: Leonard Meirovitch
Publisher:
Published: 1986-01
Total Pages: 560
ISBN-13: 9780071002714
DOWNLOAD EBOOKThis book provides contemporary coverage of the primary concepts and techniques in vibration analysis. More elementary material has been added to the first four chapters of this second edition-making for an updated and expanded introduction to vibration analysis. The remaining eight chapters present material of increasing complexity, and problems are found at the end/of each chapter.
Author: Stephen Lynch
Publisher: Springer Science & Business Media
Published: 2009-12-23
Total Pages: 512
ISBN-13: 0817646051
DOWNLOAD EBOOKExcellent reviews of the first edition (Mathematical Reviews, SIAM, Reviews, UK Nonlinear News, The Maple Reporter) New edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions Two new chapters on neural networks and simulation have also been added Wide variety of topics covered with applications to many fields, including mechanical systems, chemical kinetics, economics, population dynamics, nonlinear optics, and materials science Accessible to a broad, interdisciplinary audience of readers with a general mathematical background, including senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering A hands-on approach is used with Maple as a pedagogical tool throughout; Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author’s website with additional applications and further links of interest at Maplesoft’s Application Center
Author: Steven H. Strogatz
Publisher: CRC Press
Published: 2018-05-04
Total Pages: 532
ISBN-13: 0429961111
DOWNLOAD EBOOKThis textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author: Svein Linge
Publisher: Springer Nature
Published: 2019-10-30
Total Pages: 350
ISBN-13: 3030168778
DOWNLOAD EBOOKThis book is published open access under a CC BY 4.0 license. This book presents computer programming as a key method for solving mathematical problems. This second edition of the well-received book has been extensively revised: All code is now written in Python version 3.6 (no longer version 2.7). In addition, the two first chapters of the previous edition have been extended and split up into five new chapters, thus expanding the introduction to programming from 50 to 150 pages. Throughout the book, the explanations provided are now more detailed, previous examples have been modified, and new sections, examples and exercises have been added. Also, a number of small errors have been corrected. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style employed is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows students to write simple programs for solving common mathematical problems with numerical methods in the context of engineering and science courses. The emphasis is on generic algorithms, clean program design, the use of functions, and automatic tests for verification.
Author: Simo Särkkä
Publisher: Cambridge University Press
Published: 2019-05-02
Total Pages: 327
ISBN-13: 1316510085
DOWNLOAD EBOOKWith this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.