Differential Equations and Linear Algebra

Differential Equations and Linear Algebra
A Book

by Gilbert Strang

  • Publisher : Wellesley-Cambridge Press
  • Release : 2015-02-12
  • Pages : 510
  • ISBN : 9780980232790
  • Language : En, Es, Fr & De
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Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Student Solutions Manual for Strang's Linear Algebra and Its Applications

Student Solutions Manual for Strang's Linear Algebra and Its Applications
A Book

by Gilbert Strang,Brett Coonley,Andrew Bulman-Fleming

  • Publisher : Brooks/Cole Publishing Company
  • Release : 2005-07
  • Pages : 65
  • ISBN : 9780495013259
  • Language : En, Es, Fr & De
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Includes detailed step-by-step solutions to selected odd-numbered problems.

LAPACK Users' Guide

LAPACK Users' Guide
Third Edition

by E. Anderson,Z. Bai,C. Bischof,S. Blackford,J. Dongarra,J. Du Croz,A. Greenbaum,S. Hammarling,A. McKenney,D. Sorensen

  • Publisher : SIAM
  • Release : 1999-01-01
  • Pages : 407
  • ISBN : 9780898719604
  • Language : En, Es, Fr & De
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LAPACK is a library of numerical linear algebra subroutines designed for high performance on workstations, vector computers, and shared memory multiprocessors. Release 3.0 of LAPACK introduces new routines and extends the functionality of existing routines.

An Introduction to Differential Equations and Linear Algebra

An Introduction to Differential Equations and Linear Algebra
A Book

by Stephen W. Goode

  • Publisher : Unknown Publisher
  • Release : 1991-01-01
  • Pages : 640
  • ISBN : 9780134856575
  • Language : En, Es, Fr & De
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This very accessible guide offers a thorough introduction to the basics of differential equations and linear algebra. Expertly integrating the two topics, it explains concepts clearly and logically -without sacrificing level or rigor and supports material with a vast array of problems of varying levels for readers to choose from.

Student Solutions Manual

Student Solutions Manual
A Book

by Charles Henry Edwards,David E. Penney

  • Publisher : Pearson College Division
  • Release : 1998
  • Pages : 183
  • ISBN : 9780137577743
  • Language : En, Es, Fr & De
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This is the mainstream calculus book with the most flexible approach to new ideas and calculator/computer technology. Incorporating real-world applications, this book provides a solid combination of standard calculus and a fresh conceptual emphasis open to the possibilities of new technologies. The fifth edition of Calculus with Analytic Geometry has been revised to include a new lively and accessible writing style; 20% new examples; an emphasis on matrix terminology and notation; and fewer chapters combined from the previous edition. An important reference book for any reader seeking a greater understanding of calculus.

Numerical Computing with MATLAB

Numerical Computing with MATLAB
Revised Reprint

by Cleve B. Moler

  • Publisher : SIAM
  • Release : 2010-08-12
  • Pages : 336
  • ISBN : 0898716608
  • Language : En, Es, Fr & De
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A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.

Differential Equations and Linear Algebra

Differential Equations and Linear Algebra
A Book

by Henry Edwards

  • Publisher : Pearson College Division
  • Release : 2008-12-01
  • Pages : 340
  • ISBN : 9780136054276
  • Language : En, Es, Fr & De
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Elementary Linear Algebra

Elementary Linear Algebra
A Book

by Stephen Andrilli,David Hecker

  • Publisher : Academic Press
  • Release : 2010-02-04
  • Pages : 768
  • ISBN : 9780080886251
  • Language : En, Es, Fr & De
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Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study The authors give early, intensive attention to the skills necessary to make students comfortable with mathematical proofs. The text builds a gradual and smooth transition from computational results to general theory of abstract vector spaces. It also provides flexbile coverage of practical applications, exploring a comprehensive range of topics. Ancillary list: * Maple Algorithmic testing- Maple TA- www.maplesoft.com Includes a wide variety of applications, technology tips and exercises, organized in chart format for easy reference More than 310 numbered examples in the text at least one for each new concept or application Exercise sets ordered by increasing difficulty, many with multiple parts for a total of more than 2135 questions Provides an early introduction to eigenvalues/eigenvectors A Student solutions manual, containing fully worked out solutions and instructors manual available

Spectral Methods in MATLAB

Spectral Methods in MATLAB
A Book

by Lloyd N. Trefethen

  • Publisher : SIAM
  • Release : 2000-07-01
  • Pages : 165
  • ISBN : 0898714656
  • Language : En, Es, Fr & De
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Mathematics of Computing -- Numerical Analysis.

Approximation Theory and Approximation Practice, Extended Edition

Approximation Theory and Approximation Practice, Extended Edition
A Book

by Lloyd N. Trefethen

  • Publisher : SIAM
  • Release : 2019-01-01
  • Pages : 375
  • ISBN : 1611975948
  • Language : En, Es, Fr & De
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This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the fieldÂ’s most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.

Computational Science and Engineering

Computational Science and Engineering
A Book

by Gilbert Strang

  • Publisher : Wellesley-Cambridge Press
  • Release : 2007-11-01
  • Pages : 750
  • ISBN : 9780961408817
  • Language : En, Es, Fr & De
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Encompasses the full range of computational science and engineering from modelling to solution, both analytical and numerical. It develops a framework for the equations and numerical methods of applied mathematics. Gilbert Strang has taught this material to thousands of engineers and scientists (and many more on MIT's OpenCourseWare 18.085-6). His experience is seen in his clear explanations, wide range of examples, and teaching method. The book is solution-based and not formula-based: it integrates analysis and algorithms and MATLAB codes to explain each topic as effectively as possible. The topics include applied linear algebra and fast solvers, differential equations with finite differences and finite elements, Fourier analysis and optimization. This book also serves as a reference for the whole community of computational scientists and engineers. Supporting resources, including MATLAB codes, problem solutions and video lectures from Gilbert Strang's 18.085 courses at MIT, are provided at math.mit.edu/cse.

Applied Numerical Linear Algebra

Applied Numerical Linear Algebra
A Book

by James W. Demmel

  • Publisher : SIAM
  • Release : 1997-08-01
  • Pages : 419
  • ISBN : 0898713897
  • Language : En, Es, Fr & De
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This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.

Fundamentals of Radar Imaging

Fundamentals of Radar Imaging
A Book

by Margaret Cheney,Brett Borden

  • Publisher : SIAM
  • Release : 2009
  • Pages : 140
  • ISBN : 0898719291
  • Language : En, Es, Fr & De
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Trust Region Methods

Trust Region Methods
A Book

by A. R. Conn,N. I. M. Gould,Ph. L. Toint

  • Publisher : SIAM
  • Release : 2000-01-01
  • Pages : 978
  • ISBN : 9780898719857
  • Language : En, Es, Fr & De
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This is the first comprehensive reference on trust-region methods, a class of numerical algorithms for the solution of nonlinear convex optimization methods. Its unified treatment covers both unconstrained and constrained problems and reviews a large part of the specialized literature on the subject. It also provides an up-to-date view of numerical optimization.

The Total Least Squares Problem

The Total Least Squares Problem
Computational Aspects and Analysis

by Sabine Van Huffel,Joos Vandewalle

  • Publisher : SIAM
  • Release : 1991-01-01
  • Pages : 300
  • ISBN : 0898712750
  • Language : En, Es, Fr & De
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This is the first book devoted entirely to total least squares. The authors give a unified presentation of the TLS problem. A description of its basic principles are given, the various algebraic, statistical and sensitivity properties of the problem are discussed, and generalizations are presented. Applications are surveyed to facilitate uses in an even wider range of applications. Whenever possible, comparison is made with the well-known least squares methods. A basic knowledge of numerical linear algebra, matrix computations, and some notion of elementary statistics is required of the reader; however, some background material is included to make the book reasonably self-contained.

Linear Algebra and Learning from Data

Linear Algebra and Learning from Data
A Book

by Gilbert Strang

  • Publisher : Wellesley-Cambridge Press
  • Release : 2019-01-31
  • Pages : 446
  • ISBN : 9780692196380
  • Language : En, Es, Fr & De
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Linear algebra and the foundations of deep learning, together at last! From Professor Gilbert Strang, acclaimed author of Introduction to Linear Algebra, comes Linear Algebra and Learning from Data, the first textbook that teaches linear algebra together with deep learning and neural nets. This readable yet rigorous textbook contains a complete course in the linear algebra and related mathematics that students need to know to get to grips with learning from data. Included are: the four fundamental subspaces, singular value decompositions, special matrices, large matrix computation techniques, compressed sensing, probability and statistics, optimization, the architecture of neural nets, stochastic gradient descent and backpropagation.

Ordinary Differential Equations

Ordinary Differential Equations
An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences

by Morris Tenenbaum,Harry Pollard

  • Publisher : Courier Corporation
  • Release : 1963
  • Pages : 808
  • ISBN : 0486649407
  • Language : En, Es, Fr & De
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Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

Introduction to Linear Algebra and Differential Equations

Introduction to Linear Algebra and Differential Equations
A Book

by John W. Dettman

  • Publisher : Courier Corporation
  • Release : 2012-10-05
  • Pages : 432
  • ISBN : 0486158314
  • Language : En, Es, Fr & De
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Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

Linear Algebra 4Th Ed.

Linear Algebra 4Th Ed.
A Book

by Stephen H. Friedberg

  • Publisher : Unknown Publisher
  • Release : 2003
  • Pages : 620
  • ISBN : 9788120326064
  • Language : En, Es, Fr & De
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Essays in Linear Algebra

Essays in Linear Algebra
A Book

by Gilbert Strang

  • Publisher : Wellesley-Cambridge Press
  • Release : 2012-04-26
  • Pages : 340
  • ISBN : 9780980232769
  • Language : En, Es, Fr & De
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The renowned mathematician and educator Gilbert Strang presents a collection of expository papers on the theory and applications of linear algebra, accompanied by video lectures on http://ocw.mit.edu. The essays are diverse in scope and range from purely theoretical studies on deep fundamental principles of matrix algebra to discussions on the teaching of calculus and an examination of the mathematical foundations of aspects of computational engineering. One thing these essays have in common is the way that they express both the importance and the beauty of the subject, as well as the author's passion for mathematics. This text will be of practical use to students and researchers across a whole spectrum of numerate disciplines. Furthermore, this collection provides a unique perspective on mathematics and the communication thereof as a human endeavour, complemented as these essays are by commentary from the author regarding their provenance and the reaction to them.