3 Volume Hardcover Set - Applied Mathematics: Body and Soul, Eriksson. Springer

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“3 VOLUME HARDCOVER SETPublisher: SpringerYear: 2004ISBN: 354000890X, 3540008896, ”... Read moreabout condition
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Item specifics

Condition
Like New
A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear. See all condition definitionsopens in a new window or tab
Seller Notes
“3 VOLUME HARDCOVER SETPublisher: SpringerYear: 2004ISBN: 354000890X, 3540008896, ...
ISBN
9783540008903
Category

About this product

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
354000890X
ISBN-13
9783540008903
eBay Product ID (ePID)
24038595242

Product Key Features

Number of Pages
Xliii, 428 Pages
Publication Name
Derivatives and Geometry in Ir3
Language
English
Publication Year
2003
Subject
Algebra / Linear, Numerical Analysis, General, Mathematical Analysis
Type
Textbook
Author
K. Eriksson, D. Estep, C. Johnson
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Weight
65.3 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2003-066672
Reviews
"Diese drei Bände resultieren aus einem der Computerrevolution Rechnung tragenden Reformprojekt der Chalmers University of Technology mit wesentlichen Schwerpunkten in den Anwendungen, dem symbolischen und numerischen Rechnen, Modellierungen, einem konstruktiven Zugang (ermöglicht auch durch Verwendung anderer Stetig- und Differenzierbarkeitsbegriffe im Sinne von Lipschitz), unter Einbeziehung von auf Matlab basierenden Softwareprogrammen auf verschiedenen Komplexitätsstufen, mit einer eigenen Website (http: /www.phi.chalmers.se/bodysoul/), und stellen einer (laut verbreiteter Meinung seit Gödels Unvollständigkeitssatz immer größer werdenden) Trennung zwischen symbolischen und konstruktiven Zugängen zur Mathematik gegensteuemde, gelungene Synthese zwischen Theorie und Praxis dar, ergänzt durch viele schöne, aufschlußreiche Leitsätze und -motive, begleitet von vielen erhellenden historisch-philosophischen Kommentaren. …..Die Darstellung ist induktiv, motivierend ("Beweis-Satz", statt "Satz-Beweis"), mit stärkerem Quantitativbezug wichtiger Begriffe (was auch konstruktive "leichte" Beweise grundlegender Resultate ermöglicht), präzise und übersichtlich, anregend durch viele konkrete Beispiele aus der Praxis, Tabellen, Berechnungen, Übungsaufgaben mit Betonung auf Projektarbeit und Präsentation, vermittelt nicht nur Wissen sondern auch Können und eignet sich daher sehr gut zum Selbststudium."H.Rindler, Monatshefte für Mathematik 144, Issue 1, 2005"... Insgesamt aber gefällt die Konzeption von Eriksson, Estep und Johnson und sollte für jeden Lehrenden Anlass sein, die Lehrinhalte seiner Vorlesung kritisch zu hinterfragen, allen Ballast über Bord zu werfen und moderne numerische Methoden zu integrieren. Jeder Lehrende wird gewiss von einigen der in "Body and Soul" präsentierten Ideen profitieren und dadurch seine Lehrveranstaltung interessanter gestalten können."H.-G.Roos, ZAMM, Zeitschrift für Angewandte Mathematik und Mechanik 84, No. 10-11, 772-773 (2004)
Number of Volumes
1 vol.
Volume Number
Vol. 1
Illustrated
Yes
Table Of Content
Volume 1.- 1 What is Mathematics'.- 2 The Mathematics Laboratory.- 3 Introduction to Modeling.- 4 A Very Short Calculus Course.- 5 Natural Numbers and Integers.- 6 Mathematical Induction.- 7 Rational Numbers.- 8 Pythagoras and Euclid.- 9 What is a Function'.- 10 Polynomial functions.- 11 Combinations of functions.- 12 Lipschitz Continuity.- 13 Sequences and limits.- 14 The Square Root of Two.- 15 Real numbers.- 16 The Bisection Algorithm for f (x) = 0.- 17 Do Mathematicians Quarrel?*.- 18 The Function y = xr.- 19 Fixed Points and Contraction Mappings.- 20 Analytic Geometry in ?2.- 21 Analytic Geometry in ?3.- 22 Complex Numbers.- 23 The Derivative.- 24 Differentiation Rules.- 25 Newton's Method.- 26 Galileo, Newton, Hooke, Malthus and Fourier.- References.
Synopsis
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 possibilities 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. Volume I (Derivatives and Geometry in R3) presents basics of Calculus starting with the construction of the natural, rational, real and complex numbers, and proceeding to analytic geometry in two and three space dimensions, Lipschitz continuous functions and derivatives, together with a variety of applications. Volume II (Integrals and Geomtery in Rn) develops the Riemann integral as the solution to the problem of determining a function given its derivative, and proceeds to generalizations in the form of initial value problems for general systems of ordinary differential equations, including a variety of applications. Linear algebra including numerics is also presented. Volume III (Calculus in Several Dimensions) presents Calculus in several variables including partial derivatives, multi-dimensional integrals, partial differential equations and finite element methods, together with a variety of applications modeled as systems of partial differential equations. The authors are leading researchers in Computational Mathematics who have written various successful books. Further information on Applied Mathematics: Body and Soul can be found at http: //www.phi.chalmers.se/bodysoul/., 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 possibilities 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., 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 possibilities 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., 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 possibilities 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. Volume I (Derivatives and Geometry in R3) presents basics of Calculus starting with the construction of the natural, rational, real and complex numbers, and proceeding to analytic geometry in two and three space dimensions, Lipschitz continuous functions and derivatives, together with a variety of applications. Volume II (Integrals and Geomtery in Rn) develops the Riemann integral as the solution to the problem of determining a function given its derivative, and proceeds to generalizations in the form of initial value problems for general systems of ordinary differential equations, including a variety of applications. Linear algebra including numerics is also presented. Volume III (Calculus in Several Dimensions) presents Calculus in several variables including partial derivatives, multi-dimensional integrals, partial differential equations and finite element methods, together with a variety of applications modeled as systems of partial differential equations. The authors are leading researchers in Computational Mathematics who have written various successful books. Further information on Applied Mathematics: Body and Soul can be found at http://www.phi.chalmers.se/bodysoul/.
LC Classification Number
QA299.6-433

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