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Differential Equations with Applications and Historical Notes Third Edition

Differential Equations with Applications and Historical Notes  Third Edition Author George F. Simmons
ISBN-10 9781498702621
Release 2016-11-17
Pages 764
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Fads are as common in mathematics as in any other human activity, and it is always difficult to separate the enduring from the ephemeral in the achievements of one’s own time. An unfortunate effect of the predominance of fads is that if a student doesn’t learn about such worthwhile topics as the wave equation, Gauss’s hypergeometric function, the gamma function, and the basic problems of the calculus of variations—among others—as an undergraduate, then he/she is unlikely to do so later. The natural place for an informal acquaintance with such ideas is a leisurely introductory course on differential equations. Specially designed for just such a course, Differential Equations with Applications and Historical Notes takes great pleasure in the journey into the world of differential equations and their wide range of applications. The author—a highly respected educator—advocates a careful approach, using explicit explanation to ensure students fully comprehend the subject matter. With an emphasis on modeling and applications, the long-awaited Third Edition of this classic textbook presents a substantial new section on Gauss’s bell curve and improves coverage of Fourier analysis, numerical methods, and linear algebra. Relating the development of mathematics to human activity—i.e., identifying why and how mathematics is used—the text includes a wealth of unique examples and exercises, as well as the author’s distinctive historical notes, throughout. A solutions manual is available upon qualifying course adoption. Provides an ideal text for a one- or two-semester introductory course on differential equations Emphasizes modeling and applications Presents a substantial new section on Gauss’s bell curve Improves coverage of Fourier analysis, numerical methods, and linear algebra Relates the development of mathematics to human activity—i.e., identifying why and how mathematics is used Includes a wealth of unique examples and exercises, as well as the author’s distinctive historical notes, throughout Uses explicit explanation to ensure students fully comprehend the subject matter Solutions manual available upon qualifying course adoption



Differential equations

Differential equations Author George Finlay Simmons
ISBN-10 OCLC:440698165
Release 1990
Pages 465
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Differential equations has been writing in one form or another for most of life. You can find so many inspiration from Differential equations also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Differential equations book for free.



Handbook of Differential Equations

Handbook of Differential Equations Author Daniel Zwillinger
ISBN-10 0127843965
Release 1998
Pages 801
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This book and CD-ROM compile the most widely applicable methods for solving and approximating differential equations. The CD-ROM provides convenient access to these methods through electronic search capabilities, andtogether the book and CD-ROM contain numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations. * For nearly every technique, the book and CD-ROM provide: * The types of equations to which the method is applicable * The idea behind the method * The procedure for carrying out the method * At least one simple example of the method * Any cautions that should be exercised * Notes for more advanced users * References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs



An Introduction to Differential Equations and Their Applications

An Introduction to Differential Equations and Their Applications Author Stanley J. Farlow
ISBN-10 9780486135137
Release 2012-10-23
Pages 640
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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.



Solving Ordinary Differential Equations I

Solving Ordinary Differential Equations I Author Ernst Hairer
ISBN-10 9783540788621
Release 2008-04-03
Pages 528
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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.



Precalculus Mathematics in a Nutshell Geometry Algebra Trigonometry

Precalculus Mathematics in a Nutshell  Geometry  Algebra  Trigonometry Author George F. Simmons
ISBN-10 9781592441303
Release 2003-01-14
Pages 128
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ÒGeometry is a very beautiful subject whose qualities of elegance, order, and certainty have exerted a powerful attraction on the human mind for many centuries. . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun.Ó In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.



Differential Equations

Differential Equations Author Steven G. Krantz
ISBN-10 9781498735025
Release 2015-10-07
Pages 464
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Differential Equations: Theory, Technique, and Practice with Boundary Value Problems presents classical ideas and cutting-edge techniques for a contemporary, undergraduate-level, one- or two-semester course on ordinary differential equations. Authored by a widely respected researcher and teacher, the text covers standard topics such as partial differential equations (PDEs), boundary value problems, numerical methods, and dynamical systems. Lively historical notes and mathematical nuggets of information enrich the reading experience by offering perspective on the lives of significant contributors to the discipline. "Anatomy of an Application" sections highlight applications from engineering, physics, and applied science. Problems for review and discovery provide students with open-ended material for further exploration and learning. Streamlined for the interests of engineers, this version: Includes new coverage of Sturm-Liouville theory and problems Discusses PDEs, boundary value problems, and dynamical systems Features an appendix that provides a linear algebra review Augments the substantial and valuable exercise sets Enhances numerous examples to ensure clarity A solutions manual is available with qualifying course adoption. Differential Equations: Theory, Technique, and Practice with Boundary Value Problems delivers a stimulating exposition of modeling and computing, preparing students for higher-level mathematical and analytical thinking.



Optimal Control and Estimation

Optimal Control and Estimation Author Robert F. Stengel
ISBN-10 9780486134819
Release 2012-10-16
Pages 672
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Graduate-level text provides introduction to optimal control theory for stochastic systems, emphasizing application of basic concepts to real problems.



Mathematical Constants

Mathematical Constants Author Steven R. Finch
ISBN-10 0521818052
Release 2003-08-18
Pages 602
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Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.



Problems in Applied Mathematics

Problems in Applied Mathematics Author Murray S. Klamkin
ISBN-10 1611971721
Release 1990
Pages 588
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People in all walks of life--and perhaps mathematicians especially--delight in working on problems for the sheer pleasure of meeting a challenge. The problem section of SIAM Review has always provided such a challenge for mathematicians. The section was started to offer classroom instructors and their students as well as other interested problemists, a set of problems--solved or unsolved-- illustrating various applications of mathematics. In many cases the unsolved problems were eventually solved. Problems in Applied Mathematics is a compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959. The problems are classified into 22 broad categories including Series, Special Functions, Integrals, Polynomials, Probability, Combinatorics, Matrices and Determinants, Optimization, Inequalities, Ordinary Differential Equations, Boundary Value Problems, Asymptotics and Approximations, Mechanics, Graph Theory, and Geometry.



Differential Equations

Differential Equations Author John H. Hubbard
ISBN-10 UCSC:32106014176652
Release 1997-01-01
Pages 350
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This is a corrected third printing of the first part of the text Differential Equations: A Dynamical Systems Approach written by John Hubbard and Beverly West. The authors' main emphasis in this book is on ordinary differential equations. The book is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the life sciences, physics and economics. Traditional courses on differential equations focus on techniques leading to solutions. Yet most differential equations do not admit solutions which can be written in elementary terms. The authors have taken the view that a differential equations defines functions; the object of the theory is to understand the behavior of these functions. The tools the authors use include qualitative and numerical methods besides the traditional analytic methods. The companion software, MacMath, is designed to bring these notions to life.



Differential Equations

Differential Equations Author John H. Hubbard
ISBN-10 UOM:39015019403834
Release 1991
Pages 350
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Differential Equations has been writing in one form or another for most of life. You can find so many inspiration from Differential Equations also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Differential Equations book for free.



An Introduction to Differential Equations and Their Applications

An Introduction to Differential Equations and Their Applications Author Joseph H. Good
ISBN-10 0070240442
Release 1994
Pages 170
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This text is intended for a one-term course in introductory differential equations and is designed for students in pure and applied mathematics who have had a course in calculus. The text presents a balance of mathematical rigour and intuitive thinking. The illustrations aim to enhance the conceptual material and allow students to visualize the mathematics. The treatment of chaotic dynamical systems introduces students to the basic ideas surrounding chaotic motion. Problem sets, which contain computer applications, are carefully graduated from the routine to the more challenging and extension exercises asking students to expand on the material are included to pique student interest. Brief historical notes place topics in their proper historical and cultural context.



An Introduction to Ordinary Differential Equations

An Introduction to Ordinary Differential Equations Author Ravi P. Agarwal
ISBN-10 0387712763
Release 2008-12-10
Pages 322
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Ordinary differential equations serve as mathematical models for many exciting real world problems. Rapid growth in the theory and applications of differential equations has resulted in a continued interest in their study by students in many disciplines. This textbook organizes material around theorems and proofs, comprising of 42 class-tested lectures that effectively convey the subject in easily manageable sections. The presentation is driven by detailed examples that illustrate how the subject works. Numerous exercise sets, with an "answers and hints" section, are included. The book further provides a background and history of the subject.



Partial Differential Equations and Boundary value Problems with Applications

Partial Differential Equations and Boundary value Problems with Applications Author Mark A. Pinsky
ISBN-10 UOM:39015051290214
Release 1998
Pages 526
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Designed for the junior- and senior-level course in Partial Differential Equations, this new edition builds upon the solid strengths of the previous editions and has been revised to provide a more patient development of the core concepts. The material has been divided into three parts covering preliminary material, basic concepts, and advanced topics. Parts One and Two have also been reorganized and refined to provide more complete examples to help students master the content. The Sturm-Louiville Theory has been placed at the end of Chapter One and the coverage of infinite series and ordinary differential equations has been moved to an appendix.



Applications of Lie Groups to Differential Equations

Applications of Lie Groups to Differential Equations Author Peter J. Olver
ISBN-10 0387950001
Release 2000-01-21
Pages 513
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This is a solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. Following an exposition of the applications, the book develops the underlying theory, with many of the topics presented in a novel way, emphasizing explicit examples and computations. Further examples and new theoretical developments appear in the exercises at the end of each chapter.



Finite Element and Boundary Element Applications in Quantum Mechanics

Finite Element and Boundary Element Applications in Quantum Mechanics Author L. Ramdas Ram-Mohan
ISBN-10 0198525222
Release 2002
Pages 605
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'... well structured and remarkably comprehensive...' John Pask, Lawrence Livermore National Laboratory, CA'... an excellent textbook to introduce FEM and BEM to students...' Shun-Lien Chua ng, University of Illinois at Urbana-Champaign'... opens new ground for physicists, particularly those interested in condensed matter physics and chemistry...' A.K. Rajagopal, Naval Research Laboratory, Washington D.C.Starting from a clear, concise introduction, the powerful finite element and boundary element methods of engineering are developed for application to quantum mechanics. The reader is led through illustrative examples displaying the strengths of these methods using applications to fundamental quantum mechanical problems and to the design/simulation of quantum nanoscale devices.