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: 3039

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.

Applied Mathematics

Author: Linda Bostock,Suzanne Chandler

Publisher: Nelson Thornes

ISBN: 9780859500197

Category: Juvenile Nonfiction

Page: 576

View: 1009

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Journal of Approximation Theory and Applied Mathematics - 2014 Vol. 4

ISSN 2196-1581

Author: M. Schuchmann

Publisher: BoD – Books on Demand

ISBN: 3734744032

Category: Mathematics

Page: 24

View: 8253

Contents: Approximation Error by Using a Finite Number of Base Coefficients for Special Types of Wavelets: 5 - 14 Solving Fredholm Integral Equations with Application of the Four Chebyshev Polynomials: 15 - 20

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: 3077

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

Foundations of Applied Mathematics, Volume I

Mathematical Analysis

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

Publisher: SIAM

ISBN: 1611974909

Category: Mathematics

Page: 689

View: 4898

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?

Angewandte Mathematik: Body and Soul

Band 2: Integrale und Geometrie in IRn

Author: Kenneth Eriksson,Donald Estep,Claes Johnson

Publisher: Springer-Verlag

ISBN: 3540269509

Category: Mathematics

Page: 362

View: 8062

"Angewandte Mathematik: Body & Soul" ist ein neuer Grundkurs in der Mathematikausbildung für Studienanfänger in den Naturwissenschaften, der Technik, und der Mathematik, der an der Chalmers Tekniska Högskola in Göteborg entwickelt wurde. Er besteht aus drei Bänden sowie Computer-Software. Das Projekt ist begründet in der Computerrevolution, die ihrerseits völlig neue Möglichkeiten des wissenschaftlichen Rechnens in der Mathematik, den Naturwissenschaften und im Ingenieurwesen eröffnet hat. Es besteht aus einer Synthese der mathematischen Analysis (Soul) mit der numerischen Berechnung (Body) sowie den Anwendungen. Die Bände I-III geben eine moderne Version der Analysis und der linearen Algebra wieder, einschließlich konstruktiver numerischer Techniken und Anwendungen, zugeschnitten auf Anfängerprogramme im Maschinenbau und den Naturwissenschaften. Weitere Bände behandeln Themen wie z.B. dynamische Systeme, Strömungsdynamik, Festkörpermechanik und Elektromagnetismus. Dieser Band entwickelt das Riemann-Integral, um eine Funktion zu einer gegebenen Ableitung zu bestimmen. Darauf aufbauend werden Differentialgleichungen und Anfangswertprobleme mit einer Vielzahl anschaulicher Anwendungen behandelt. Die lineare Algebra wird auf n-dimensionale Räume verallgemeinert, wobei wiederum dem praktischen Umgang und numerischen Lösungstechniken besonderer Platz eingeräumt wird. Die Autoren sind führende Experten im Gebiet des wissenschaftlichen Rechnens und haben schon mehrere erfolgreiche Bücher geschrieben. "[......] Oh, by the way, I suggest immediate purchase of all three volumes!" The Mathematical Association of America Online, 7.7.04

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: 4534

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.

Differential and Integral Calculus

Author: Richard Courant

Publisher: John Wiley & Sons

ISBN: 1118031490

Category: Mathematics

Page: 640

View: 662

The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Volume 1 introduces the foundational concepts of "function" and "limit", and offers detailed explanations that illustrate the "why" as well as the "how". Comprehensive coverage of the basics of integrals and differentials includes their applications as well as clearly-defined techniques and essential theorems. Multiple appendices provide supplementary explanation and author notes, as well as solutions and hints for all in-text problems.

Applied Mathematics: Body and Soul

Volume 1: Derivatives and Geometry in IR3

Author: Kenneth Eriksson,Donald Estep,Claes Johnson

Publisher: Springer Science & Business Media

ISBN: 3662057964

Category: Mathematics

Page: 428

View: 614

Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilitites of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. The authors are leading researchers in Computational Mathematics who have written various successful books.

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: 6164

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.

Journal of Approximation Theory and Applied Mathematics - 2014 Vol. 3

ISSN 2196-1581

Author: Marco Schuchmann

Publisher: BoD – Books on Demand

ISBN: 3735773885

Category: Mathematics

Page: 56

View: 5042

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 of Vol. 3: Parameter Identification with a Wavelet Collocation Method, Parameter Identification with a Wavelet Collocation Method in the Black Scholes Equation, Adapted Linear Approximation for Logarithmic Kernel Integrals, Identifying a Superposition with Trigonometric Functions by Applying a MRA with the Shannon Wavelet

How to Solve Applied Mathematics Problems

Author: B. L. Moiseiwitsch

Publisher: Courier Corporation

ISBN: 0486285227

Category: Mathematics

Page: 336

View: 8583

This workbook bridges the gap between lectures and practical applications, offering students of mathematics, engineering, and physics the chance to practice solving problems from a wide variety of fields. 2011 edition.

The Laplace Transformation

Lectures on Applied Mathematics, V1

Author: Francis Dominic Murnaghan

Publisher: N.A

ISBN: 9781258435615

Category:

Page: 134

View: 2058

In Three Volumes. Volume 1, The Laplace Transformation; Volume 2, The Calculus Of Variations; Volume 3, The Unitary And Rotation Groups.

Analysis for Applied Mathematics

Author: Ward Cheney

Publisher: Springer Science & Business Media

ISBN: 9780387952796

Category: Mathematics

Page: 448

View: 2882

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.

Problems in Applied Mathematics

Author: Murray S. Klamkin

Publisher: SIAM

ISBN: 0898712599

Category: Mathematics

Page: 588

View: 6808

A compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959.