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Introduction To The Foundations Of Applied Mathematics

Introduction to the Foundations of Applied Mathematics PDF

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Author: Mark H. Holmes
Publisher: Springer Science & Business Media
ISBN: 0387877495
Size: 65.31 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 468
View: 4461


FOAM. This acronym has been used for over ?fty years at Rensselaer to designate an upper-division course entitled, Foundations of Applied Ma- ematics. This course was started by George Handelman in 1956, when he came to Rensselaer from the Carnegie Institute of Technology. His objective was to closely integrate mathematical and physical reasoning, and in the p- cess enable students to obtain a qualitative understanding of the world we live in. FOAM was soon taken over by a young faculty member, Lee Segel. About this time a similar course, Introduction to Applied Mathematics, was introduced by Chia-Ch’iao Lin at the Massachusetts Institute of Technology. Together Lin and Segel, with help from Handelman, produced one of the landmark textbooks in applied mathematics, Mathematics Applied to - terministic Problems in the Natural Sciences. This was originally published in 1974, and republished in 1988 by the Society for Industrial and Applied Mathematics, in their Classics Series. This textbook comes from the author teaching FOAM over the last few years. In this sense, it is an updated version of the Lin and Segel textbook.

Introduction To Applied Mathematics

Introduction to Applied Mathematics PDF

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Author: Gilbert Strang
Publisher: Wellesley-Cambridge Press
ISBN: 9780961408800
Size: 73.10 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 760
View: 1152


Renowned applied mathematician Gilbert Strang teaches applied mathematics with the clear explanations, examples and insights of an experienced teacher. This book progresses steadily through a range of topics from symmetric linear systems to differential equations to least squares and Kalman filtering and optimization. It clearly demonstrates the power of matrix algebra in engineering problem solving. This is an ideal book (beloved by many readers) for a first course on applied mathematics and a reference for more advanced applied mathematicians. The only prerequisite is a basic course in linear algebra.

Introduction To Applied Mathematics For Environmental Science

Introduction to Applied Mathematics for Environmental Science PDF

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Author: David F. Parkhurst
Publisher: Springer Science & Business Media
ISBN: 0387342281
Size: 43.75 MB
Format: PDF, Kindle
Category : Science
Languages : en
Pages : 317
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This book teaches mathematical structures and how they can be applied in environmental science. Each chapter presents story problems with an emphasis on derivation. For each of these, the discussion follows the pattern of first presenting an example of a type of structure as applied to environmental science. The definition of the structure is presented, followed by additional examples using MATLAB, and analytic methods of solving and learning from the structure.

Introduction To Applied Mathematics

Introduction to Applied Mathematics PDF

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Author: Francis Dominic Murnaghan
Publisher:
ISBN:
Size: 77.93 MB
Format: PDF, Mobi
Category : Calculus
Languages : en
Pages : 389
View: 7283



An Introduction To Applied Mathematics

An Introduction to Applied Mathematics PDF

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Author: A. M. Starfield
Publisher:
ISBN:
Size: 70.32 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 504
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Applied Mathematics

Applied Mathematics PDF

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Author: Alain Goriely
Publisher: Oxford University Press
ISBN: 0198754043
Size: 13.69 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 168
View: 5036


Mathematics is playing an increasingly important role in society and the sciences, enhancing our ability to use models and handle data. While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world in which we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields. This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics and engineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Introduction To Applied Mathematics

Introduction to Applied Mathematics PDF

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Author: L. Sirovich
Publisher:
ISBN:
Size: 70.17 MB
Format: PDF, Docs
Category : Mathematical statistics
Languages : en
Pages : 370
View: 7000



Calculus

Calculus PDF

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Author: Harvey Philip Greenspan
Publisher: McGraw-Hill Ryerson Limited
ISBN:
Size: 74.69 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 836
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An Introduction To Applied Mathematics

An Introduction to Applied Mathematics PDF

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Author: John Conrad Jaeger
Publisher:
ISBN:
Size: 74.47 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 445
View: 5924



Differential Equations And Their Applications

Differential Equations and Their Applications PDF

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Author: Martin Braun
Publisher: Springer Science & Business Media
ISBN: 1461243602
Size: 21.54 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 578
View: 2659


Used in undergraduate classrooms across the USA, this is a clearly written, rigorous introduction to differential equations and their applications. Fully understandable to students who have had one year of calculus, this book distinguishes itself from other differential equations texts through its engaging application of the subject matter to interesting scenarios. This fourth edition incorporates earlier introductory material on bifurcation theory and adds a new chapter on Sturm-Liouville boundary value problems. Computer programs in C, Pascal, and Fortran are presented throughout the text to show readers how to apply differential equations towards quantitative problems.

Differentialgleichungen Und Ihre Anwendungen

Differentialgleichungen und ihre Anwendungen PDF

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Author: Martin Braun
Publisher: Springer-Verlag
ISBN: 3642973418
Size: 22.68 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : de
Pages : 596
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Dieses richtungsweisende Lehrbuch für die Anwendung der Mathematik in anderen Wissenschaftszweigen gibt eine Einführung in die Theorie der gewöhnlichen Differentialgleichungen. Fortran und APL-Programme geben den Studenten die Möglichkeit, verschiedene numerische Näherungsverfahren an ihrem PC selbst durchzurechnen. Aus den Besprechungen: "Die Darstellung ist überall mathematisch streng und zudem ungemein anregend. Abgesehen von manchen historischen Bemerkungen ... tragen dazu die vielen mit ausführlichem Hintergrund sehr eingehend entwickelten praktischen Anwendungen bei. ... Besondere Aufmerksamkeit wird der physikalisch und technisch so wichtigen Frage nach Stabilität von Lösungen eines Systems von Differentialgleichungen gewidmet. Das Buch ist wegen seiner geringen Voraussetzungen und vorzüglichen Didaktik schon für alle Studenten des 3. Semesters geeignet; seine eminent praktische Haltung empfiehlt es aber auch für alle Physiker, die mit Differentialgleichungen und ihren Anwendungen umzugehen haben." #Physikalische Blätter#

Lehrbuch Der Mathematischen Physik

Lehrbuch der Mathematischen Physik PDF

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Author: Walter Thirring
Publisher: Springer-Verlag
ISBN: 3709166462
Size: 39.76 MB
Format: PDF, Docs
Category : Science
Languages : de
Pages : 293
View: 2910


In der Quantentheorie werden Observable durch Operatoren im Hilbert-Raum dargestellt. Der dafür geeignete mathematische Rahmen sind die Cx - Algebren, welche Matrizen und komplexe Funktionen verallgemeinern. Allerdings benötigt man in der Physik auch unbeschränkte Operatoren, deren Problematik eigens untersucht werden muß. Dementsprechend werden zunächst mathematische Fragen studiert und dann die Methoden auf atomare Systeme angewandt. Obgleich man außer dem Wasserstoffatom kaum explizit lösbare Probleme findet, lassen sich nicht nur allgemeine qualitative Fragen, etwa bezüglich des Energiespektrums und Streuverhaltens, beantworten, sondern auch quantitativ kann man auch für kompliziertere Systeme für meßbare Größen Schranken teils befriedigender Genauigkeit finden. Inhaltsverzeichnis: Einleitung: Die Struktur der Quantentheorie; Größenordnungen atomarer Systeme.- Die mathematische Formulierung der Quantenmechanik: Lineare Räume; Algebren; Darstellungen im Hilbertraum; Einparametrige Gruppen; Unbeschränkte Operatoren und quadratische Formen.- Quantendynamik: Das Weyl-System; Der Drehimpuls; Die Zeitentwicklung; Der Limes t ; Störungstheorie; Stationäre Streutheorie.- Atomare Systeme: Das Wasserstoffatom; Das H-Atom in äußeren Feldern; Heliumartige Atome; Streuung am einfachen Atom; Komplexe Atome; Kernbewegung und einfache Moleküle.

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