Solving Higher Order Equations
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Author | : Christian Prehofer |
Publisher | : Springer Science & Business Media |
Total Pages | : 193 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 1461217784 |
Download Solving Higher-Order Equations Book in PDF, Epub and Kindle
This monograph develops techniques for equational reasoning in higher-order logic. Due to its expressiveness, higher-order logic is used for specification and verification of hardware, software, and mathematics. In these applica tions, higher-order logic provides the necessary level of abstraction for con cise and natural formulations. The main assets of higher-order logic are quan tification over functions or predicates and its abstraction mechanism. These allow one to represent quantification in formulas and other variable-binding constructs. In this book, we focus on equational logic as a fundamental and natural concept in computer science and mathematics. We present calculi for equa tional reasoning modulo higher-order equations presented as rewrite rules. This is followed by a systematic development from general equational rea soning towards effective calculi for declarative programming in higher-order logic and A-calculus. This aims at integrating and generalizing declarative programming models such as functional and logic programming. In these two prominent declarative computation models we can view a program as a logical theory and a computation as a deduction.
Author | : Jiri Lebl |
Publisher | : |
Total Pages | : 468 |
Release | : 2019-11-13 |
Genre | : |
ISBN | : 9781706230236 |
Download Notes on Diffy Qs Book in PDF, Epub and Kindle
Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.
Author | : Dennis Zill |
Publisher | : Jones & Bartlett Learning |
Total Pages | : 1005 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0763779660 |
Download Advanced Engineering Mathematics Book in PDF, Epub and Kindle
Accompanying CD-ROM contains ... "a chapter on engineering statistics and probability / by N. Bali, M. Goyal, and C. Watkins."--CD-ROM label.
Author | : William F. Trench |
Publisher | : Thomson Brooks/Cole |
Total Pages | : 764 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : |
Download Elementary Differential Equations with Boundary Value Problems Book in PDF, Epub and Kindle
Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and instructors who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material.
Author | : Gary Cohen |
Publisher | : Springer Science & Business Media |
Total Pages | : 372 |
Release | : 2001-11-06 |
Genre | : Science |
ISBN | : 9783540415985 |
Download Higher-Order Numerical Methods for Transient Wave Equations Book in PDF, Epub and Kindle
"To my knowledge [this] is the first book to address specifically the use of high-order discretizations in the time domain to solve wave equations. [...] I recommend the book for its clear and cogent coverage of the material selected by its author." --Physics Today, March 2003
Author | : Christian Prehofer |
Publisher | : |
Total Pages | : 186 |
Release | : 1998 |
Genre | : Computer logic |
ISBN | : 9783764340322 |
Download Solving Higher-order Equations Book in PDF, Epub and Kindle
Author | : Bernd Sturmfels |
Publisher | : American Mathematical Soc. |
Total Pages | : 162 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821832514 |
Download Solving Systems of Polynomial Equations Book in PDF, Epub and Kindle
Bridging a number of mathematical disciplines, and exposing many facets of systems of polynomial equations, Bernd Sturmfels's study covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical.
Author | : Allan Struthers |
Publisher | : Springer |
Total Pages | : 514 |
Release | : 2019-07-31 |
Genre | : Technology & Engineering |
ISBN | : 3030205061 |
Download Differential Equations Book in PDF, Epub and Kindle
This book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses. The book begins with linear algebra, including a number of physical applications, and goes on to discuss first-order differential equations, linear systems of differential equations, higher order differential equations, Laplace transforms, nonlinear systems of differential equations, and numerical methods used in solving differential equations. The style of presentation of the book ensures that the student with a minimum of assistance may apply the theorems and proofs presented. Liberal use of examples and homework problems aids the student in the study of the topics presented and applying them to numerous applications in the real scientific world. This textbook focuses on the actual solution of ordinary differential equations preparing the student to solve ordinary differential equations when exposed to such equations in subsequent courses in engineering or pure science programs. The book can be used as a text in a one-semester core course on differential equations, alternatively it can also be used as a partial or supplementary text in intensive courses that cover multiple topics including differential equations.
Author | : Ernst Hairer |
Publisher | : Springer Science & Business Media |
Total Pages | : 541 |
Release | : 2008-04-03 |
Genre | : Mathematics |
ISBN | : 354078862X |
Download Solving Ordinary Differential Equations I Book in PDF, Epub and Kindle
This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Chapter three begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him/her learn to solve all kinds of ordinary differential equations. This new edition has been rewritten and new material has been included.
Author | : James M. Hill |
Publisher | : CRC Press |
Total Pages | : 232 |
Release | : 1992-03-17 |
Genre | : Mathematics |
ISBN | : 9780849344428 |
Download Differential Equations and Group Methods for Scientists and Engineers Book in PDF, Epub and Kindle
Differential Equations and Group Methods for Scientists and Engineers presents a basic introduction to the technically complex area of invariant one-parameter Lie group methods and their use in solving differential equations. The book features discussions on ordinary differential equations (first, second, and higher order) in addition to partial differential equations (linear and nonlinear). Each chapter contains worked examples with several problems at the end; answers to these problems and hints on how to solve them are found at the back of the book. Students and professionals in mathematics, science, and engineering will find this book indispensable for developing a fundamental understanding of how to use invariant one-parameter group methods to solve differential equations.