Applied Mathematics

Author: Linda Bostock,Suzanne Chandler

Publisher: Nelson Thornes

ISBN: 9780859500197

Category: Juvenile Nonfiction

Page: 576

View: 7663

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A Synopsis of Elementary Results in Pure and Applied Mathematics: Volume 1

Containing Propositions, Formulae, and Methods of Analysis, with Abridged Demonstrations

Author: George Shoobridge Carr,G S Carr

Publisher: Cambridge University Press

ISBN: 1108050670

Category: Mathematics

Page: 298

View: 4902

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When George Shoobridge Carr (1837-1914) wrote his Synopsis of Elementary Results he intended it as an aid to students preparing for degree-level examinations such as the Cambridge Mathematical Tripos, for which he provided private tuition. He would have been startled to see the two volumes, first published in 1880 and 1886 respectively, reissued more than a century later. Notably, in 1903 the work fell into the hands of the Indian prodigy Srinivasa Ramanujan (1887-1920) and greatly influenced his mathematical education. It is the interaction between a methodical teaching aid and the soaring spirit of a self-taught genius which gives this reissue its interest. Volume 1, presented here in its 1886 printing, contains sections on mathematical tables, algebra, the theory of equations, plane trigonometry, spherical trigonometry, elementary geometry and geometrical conics.
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Foundations of Applied Mathematics, Volume I

Mathematical Analysis

Author: Jeffrey Humpherys,Tyler J. Jarvis,Emily J. Evans

Publisher: SIAM

ISBN: 1611974895

Category: Mathematics

Page: 689

View: 5548

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This book provides the essential foundations of both linear and nonlinear analysis necessary for understanding and working in twenty-first century applied and computational mathematics. In addition to the standard topics, this text includes several key concepts of modern applied mathematical analysis that should be, but are not typically, included in advanced undergraduate and beginning graduate mathematics curricula. This material is the introductory foundation upon which algorithm analysis, optimization, probability, statistics, differential equations, machine learning, and control theory are built. When used in concert with the free supplemental lab materials, this text teaches students both the theory and the computational practice of modern mathematical analysis. Foundations of Applied Mathematics, Volume 1: Mathematical Analysis includes several key topics not usually treated in courses at this level, such as uniform contraction mappings, the continuous linear extension theorem, Daniell–Lebesgue integration, resolvents, spectral resolution theory, and pseudospectra. Ideas are developed in a mathematically rigorous way and students are provided with powerful tools and beautiful ideas that yield a number of nice proofs, all of which contribute to a deep understanding of advanced analysis and linear algebra. Carefully thought out exercises and examples are built on each other to reinforce and retain concepts and ideas and to achieve greater depth. Associated lab materials are available that expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?
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Journal of Approximation Theory and Applied Mathematics - 2013 Vol. 1 and

Author: Marco Schuchmann

Publisher: BoD – Books on Demand

ISBN: 3735791859

Category: Mathematics

Page: 108

View: 8321

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Journal of Approximation Theory and Applied Mathematics (ISSN 2196-1581) is a journal which started in 2013. Themes of our journal are: Approximation theory (with a focus on wavelets) and applications in mathematics like numerical analysis, statistics or financial mathematics. Contents 2013 Vol. 1: An Approximation on a Compact Interval Calculated with a Wavelet Collocation Method can Lead to Much Better Results than other Methods, Parameter Identification with a Wavelet Collocation Method in a Partial Differential Equation, An Approach for a Parameter Estimation with a Wavelet Collocation Method, Notes on Nonparametric Regression with Wavelets, Extrapolation and Approximation with a Wavelet Collocation Method for ODEs 2013 Vol. 2: Solving ODEs and DAEs with a Wavelet Collocation Method with Examples from the Chemical Reaction Kinetics, Solving Integral Equations with a Wavelet Collocation Approach, Approximation of Non L2(R) Functions on a Compact Interval with a Wavelet Base, Comparing Approximations of a Wavelet Collocation Method of Various Wavelets
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A Synopsis of Elementary Results in Pure and Applied Mathematics: Volume 2

Containing Propositions, Formulae, and Methods of Analysis, with Abridged Demonstrations

Author: George Shoobridge Carr

Publisher: Cambridge University Press

ISBN: 1108050689

Category: Mathematics

Page: 718

View: 8576

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When George Shoobridge Carr (1837-1914) wrote his Synopsis of Elementary Results he intended it as an aid to students preparing for degree-level examinations such as the Cambridge Mathematical Tripos, for which he provided private tuition. He would have been startled to see the two volumes, first published in 1880 and 1886 respectively, reissued more than a century later. Notably, in 1903 the work fell into the hands of the Indian prodigy Srinivasa Ramanujan (1887-1920) and greatly influenced his mathematical education. It is the interaction between a methodical teaching aid and the soaring spirit of a self-taught genius which gives this reissue its interest. Volume 2 contains sections on differential calculus, integral calculus, calculus of variations, differential equations, calculus of finite differences, plane coordinate geometry and solid coordinate geometry. Also included is a historically valuable index insofar as it provides references to 890 volumes of 32 periodicals dating back to 1800.
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Analysis for Applied Mathematics

Author: Ward Cheney

Publisher: Springer Science & Business Media

ISBN: 9780387952796

Category: Mathematics

Page: 448

View: 6621

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This well-written book contains the analytical tools, concepts, and viewpoints needed for modern applied mathematics. It treats various practical methods for solving problems such as differential equations, boundary value problems, and integral equations. Pragmatic approaches to difficult equations are presented, including the Galerkin method, the method of iteration, Newton’s method, projection techniques, and homotopy methods.
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Applied Mathematics I

Author: Booksmart

Publisher: Booksmart

ISBN: N.A

Category: Mathematics

Page: 246

View: 3156

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Complete Book For Sem1 bsc Students Syllabus: Unit – I Matrices: Minors and Cofactors, Adjoint of a square matrix, Inverse of a matrix. Rank of a matrix, Solution of Homogeneous and non homogeneous linear Equations using Matrix method. Unit- II Eigen Values and Eigen Vectors: Vectors, linear combination of vectors, Inner Product of two vectors, characteristic equation, Eigen Vector, Cayley- Hamilton Theorem, Similarity of Matrices, Derogatory and Non-derogatory matrices, Complex Matrices: Hermitian, skew-Hermitian and Unitary matrices and their properties. Unit -III Vector Calculus: Vector Differentiation: Vector Operator Del, Gradient, and Geometrical Meaning of gradient, Divergence and Curl. Unit - IV Differential Equations: Differential Equations of 1st order and 1st degree and applications Unit - V Linear Differential Equations: Linear Differential equations with constant coefficient, Differential equations of higher order and applications. Unit -VI Successive differentiation, Mean Value theorems, Partial differentiation, Euler’s Theorem, Approximation and errors, Maxima and Minima. Text Books: Engineering Mathematics A tutorial approach by R. R. Singh and Mukul Bhatt, TMH 2010 Text Book of Applied Mathematics Vol I and Vol II. P.N. Wartikar & J.N. Wartikar, Pune Vidyarthi Griha Prakashan
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Parallel Processing and Applied Mathematics

7th International Conference, PPAM 2007, Gdansk, Poland, September 9-12, 2007, Revised Selected Papers

Author: Roman Wyrzykowski,Jack Dongarra,Konrad Karczewski,Jerzy Wasniewski

Publisher: Springer Science & Business Media

ISBN: 3540681051

Category: Computers

Page: 1414

View: 4711

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This book constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Parallel Processing and Applied Mathematics, PPAM 2007, held in Gdansk, Poland, in September 2007. The 63 revised full papers of the main conference presented together with 85 revised workshop papers were carefully reviewed and selected from over 250 initial submissions. The papers are organized in topical sections on parallel/distributed architectures and mobile computing, numerical algorithms and parallel numerics, parallel and distributed non-numerical algorithms, environments and tools for as well as applications of parallel/distributed/grid computing, evolutionary computing, meta-heuristics and neural networks. The volume proceeds with the outcome of 11 workshops and minisymposia dealing with novel data formats and algorithms for dense linear algebra computations, combinatorial tools for parallel sparse matrix computations, grid applications and middleware, large scale computations on grids, models, algorithms and methodologies for grid-enabled computing environments, scheduling for parallel computing, language-based parallel programming models, performance evaluation of parallel applications on large-scale systems, parallel computational biology, high performance computing for engineering applications, and the minisymposium on interval analysis.
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