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International journal of applied and computational mathematics.
ISSN: 21995796 23495103 Year: 2015 Publisher: [New Delhi] : Springer India,

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Numerical Analysis
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ISBN: 0387984089 1461268338 1461205999 Year: 1998 Volume: 181 Publisher: New York, NY : Springer New York : Imprint: Springer,

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No applied mathematician can be properly trained without some basic un­ derstanding ofnumerical methods, Le., numerical analysis. And no scientist and engineer should be using a package program for numerical computa­ tions without understanding the program's purpose and its limitations. This book is an attempt to provide some of the required knowledge and understanding. It is written in a spirit that considers numerical analysis not merely as a tool for solving applied problems but also as a challenging and rewarding part of mathematics. The main goal is to provide insight into numerical analysis rather than merely to provide numerical recipes. The book evolved from the courses on numerical analysis I have taught since 1971 at the University ofGottingen and may be viewed as a successor of an earlier version jointly written with Bruno Brosowski [10] in 1974. It aims at presenting the basic ideas of numerical analysis in a style as concise as possible. Its volume is scaled to a one-year course, i.e., a two-semester course, addressing second-yearstudents at a German university or advanced undergraduate or first-year graduate students at an American university.


Book
Mathematics of dynamical systems
Authors: --- ---
ISBN: 0177810017 Year: 1970 Publisher: London Nelson

Fitting Linear Relationships : A History of the Calculus of Observations 1750–1900
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ISBN: 0387985980 1461268125 146120545X Year: 1999 Publisher: New York, NY : Springer New York : Imprint: Springer,

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This book is intended for students of mathematical statistics who are interested in the early history of their subject. It gives detailed algebraic descriptions of the fitting of linear relationships by the method of least squares (L ) and the related least absolute 2 deviations (L ) and minimax absolute deviations (Loo) procedures. These traditional line J fitting procedures are, of course, also addressed in conventional statistical textbooks, but the discussion of their historical background is usually extremely slight, if not entirely absent. The present book complements the analysis of these procedures given in S.M. Stigler'S excellent work The History of Statistics: The Quantification of Uncertainty before 1900. However, the present book gives a more detailed account of the algebraic structure underlying these traditional fitting procedures. It is anticipated that readers of the present book will obtain a clear understanding of the historical background to these and other commonly used statistical procedures. Further, a careful consideration of the wide variety of distinct approaches to a particular topic, such as the method of least squares, will give the reader valuable insights into the essential nature of the selected topic.


Book
Applied functional analysis : a first course for students of mechanics and engineering science
Author:
ISBN: 0130401625 9780130401625 Year: 1979 Publisher: Englewood Cliffs, N.J. Prentice-Hall


Periodical
International journal for computational methods in engineering science and mechanics
ISSN: 15502295 15502287 Publisher: Philadelphia, Pa Taylor and Francis Inc.

Mathematical methods for economic theory
Author:
ISBN: 3540662359 3540662421 3642085520 3662085445 Year: 1999 Volume: 9-10 Publisher: Berlin : Springer,

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This is the second of a two-volume work intended to function as a textbook well as a reference work for economic for graduate students in economics, as scholars who are either working in theory, or who have a strong interest in economic theory. While it is not necessary that a student read the first volume before tackling this one, it may make things easier to have done so. In any case, the student undertaking a serious study of this volume should be familiar with the theories of continuity, convergence and convexity in Euclidean space, and have had a fairly sophisticated semester's work in Linear Algebra. While I have set forth my reasons for writing these volumes in the preface to Volume 1 of this work, it is perhaps in order to repeat that explanation here. I have undertaken this project for three principal reasons. In the first place, I have collected a number of results which are frequently useful in economics, but for which exact statements and proofs are rather difficult to find; for example, a number of results on convex sets and their separation by hyperplanes, some results on correspondences, and some results concerning support functions and their duals. Secondly, while the mathematical top­ ics taken up in these two volumes are generally taught somewhere in the mathematics curriculum, they are never (insofar as I am aware) done in a two-course sequence as they are arranged here.


Periodical
Inverse problems in science & engineering
ISSN: 17415985 17415977 Publisher: Place of publication unknown


Periodical
Journal of Applied and Industrial Mathematics
ISSN: 19904797 19904789

Modelling and Applications in Mathematics Education : The 14th ICMI Study
Authors: --- --- --- --- --- et al.
ISBN: 1281133345 9786611133344 0387298223 9780387298207 0387298207 9780387298221 1489992499 Year: 2007 Publisher: New York, NY : Springer US : Imprint: Springer,

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The overall goal of Modelling and Applications in Mathematics Education is to provide a comprehensive overview of the state-of-the-art in the field of modelling and applications in mathematics education. Key issues are dealt with, among which are the following: Epistemology and the relationships between mathematics and the "rest of the world"; the meaning of mathematical modelling and its process components; the respect in which the distinction between pure mathematics and applications of mathematics make sense Authenticity and Goals dealing with modelling and applications in mathematics teaching; appropriate balance between modelling activities and other mathematical activities; the role that authentic problem situations play in modelling and applications activities Modelling Competencies: characterizing how a student's modelling competency can be characterized; identifiable sub-competencies, and the ways they constitute a general modelling competency; developing competency over time Mathematical Competencies: identifying the most important mathematical competencies that students should acquire, and how modelling and applications activities can contribute toward building up these competencies; the meaning of "Mathematical Literacy" in relation to modelling Modelling Pedagogy: appropriate pedagogical principles and strategies for the development of modelling courses and their teaching; the role of technology in the teaching of modelling and applications Implementation and Practice: the role of modelling and applications in everyday mathematics teaching; major impediments and obstacles; advancing the use of modelling examples in everyday classrooms; documenting successful implementation of modelling in mathematics teaching Assessment and Evaluation: assessment modes that capture the essential components of modelling competency; modes available for modelling and applications courses and curricula; appropriate strategies to implement new assessment and evaluation modes in practice The contributing authors are eminent members of the mathematics education community. Modelling and Applications in Mathematics Education will be of special interest to mathematics educators, teacher educators, researchers, education administrators, curriculum developers and student teachers.

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