Mathematical Techniques

Author: D. Dominic William Jordan
Publisher: Oxford University Press
ISBN: UVA:X004145855
Release Date: 1997
Genre: Mathematics

Undergraduate students of engineering, science, and mathematics must quickly master a variety of mathematical methods, although many of these students do not have strong mathematics backgrounds. In this well-received book, now in its second edition, the authors use their extensive experience with diverse groups of students to provide an accessible introduction to mathematical techniques. They start at the elementary level and proceed to cover the full range of topics typically encountered by beginning students: BL Analytic geometry, vector algebra, vector fields (div and curl), differentiation, and integration. BL Complex numbers, matrix operations, and linear systems of equations. BL Differential equations and first-order linear systems, functions of more than one variable, double integrals, and line integrals. BL Laplace transforms, Fourier series and Fourier transforms. BL Probability and statistics. Incorporating many suggestions from readers, this new edition has expanded discussions of vectors and new chapters on Fourier series and on probability and statistics. The emphasis throughout is on understanding concepts through well-chosen examples, and the book includes over 500 fully worked problems. As far as is possible chapter topics are self-contained so that a student only needing to master certain techniques can omit others without trouble. The generously illustrated text also includes simple numerical processes which lead to examples and projects for computation (particularly with Mathematica), and contains a large number of exercises (with answers) to reinforce the material. These features combine to make this book an ideal starting point for students entering the sciences.

Mathematical Techniques

Author: Dominic William Jordan
Publisher: Oxford University Press, USA
ISBN: 0199249725
Release Date: 2002
Genre: Mathematics

Many students beginning their engineering, science and mathematics courses need a book on mathematical methods. This textbook offers an accessible and comprehensive grounding in many of the mathematical techniques required in the early stages of an engineering or science degree, and also forthe routine methods needed by first and second year mathematics students. Mathematical Techniques starts by revising work from pre-university level before developing the more advanced material which students will encounter during their undergraduate studies.The contents of the book has been fully revised for this, the third edition. The first chapter on standard techniques, has been rewritten and expanded to serve the increasingly diverse needs of students. The Fourier transform now has its own chapter; a simplified approach is adopted, and diffractiontheory, together with supporting material on wave motion, is included. Many changes enhancing clarity have been made in other chapters. The chapter on projects using Mathematica has been extended to cover these changes: the associated programs are freely available on Keele University, MathematicsDepartment web site: www.keele.ac.uk/depts/ma/ . Chapters and sections are designed to be largely self-contained, allowing students ot concentrate on the specific methods they need to master and use. The book contains nearly 500 worked examples, more than 2000 problems (with selected answers), andover 120 computing projects. The text is accessible, widely illustrated, and stands as an ideal introduction on mathematical methods at university level.

Mathematical Techniques

Author: Dominic Jordan
Publisher: OUP Oxford
ISBN: 0199282013
Release Date: 2008-03-13
Genre: Mathematics

Mathematical Techniques provides a complete course in mathematics, covering all the essential topics with which a physical sciences or engineering student should be familiar. It introduces and builds on concepts in a progressive, carefully-layered way, and features over 2000 end of chapter problems, plus additional self-check questions.

Distributionen Und Hilbertraumoperatoren

Author: Philippe Blanchard
Publisher: Springer
ISBN: 321182507X
Release Date: 1993-09-21
Genre: Science

Das Buch bietet eine Einführung in die zum Studium der Theoretischen Physik notwendigen mathematischen Grundlagen. Der erste Teil des Buches beschäftigt sich mit der Theorie der Distributionen und vermittelt daneben einige Grundbegriffe der linearen Funktionalanalysis. Der zweite Teil baut darauf auf und gibt eine auf das Wesentliche beschränkte Einführung in die Theorie der linearen Operatoren in Hilbert-Räumen. Beide Teile werden von je einer Übersicht begleitet, die die zentralen Ideen und Begriffe knapp erläutert und den Inhalt kurz beschreibt. In den Anhängen werden einige grundlegende Konstruktionen und Konzepte der Funktionalanalysis dargestellt und wichtige Konsequenzen entwickelt.

Mathematical Techniques in Crystallography and Materials Science

Author: Edward Prince
Publisher: Springer Science & Business Media
ISBN: 9783642187117
Release Date: 2012-12-06
Genre: Science

This practical guide and reference serves as a unified source book for students and professionals, and it provides a solid basis for further studies in more specialized literature. Based Prince’s decades of practical experience, it can be recommended as an introduction for beginners in crystallography, as a refresher and handy guide for crystallographers working on specific problems, and as a reference for others seeking a dictionary of basic mathematical and crystallographic terms. The third edition further clarifies key points.

Mathematik und Technologie

Author: Christiane Rousseau
Publisher: Springer-Verlag
ISBN: 9783642300929
Release Date: 2012-07-30
Genre: Mathematics

Zusammen mit der Abstraktion ist die Mathematik das entscheidende Werkzeug für technologische Innovationen. Das Buch bietet eine Einführung in zahlreiche Anwendungen der Mathematik auf dem Gebiet der Technologie. Meist werden moderne Anwendungen dargestellt, die heute zum Alltag gehören. Die mathematischen Grundlagen für technologische Anwendungen sind dabei relativ elementar, was die Leistungsstärke der mathematischen Modellbildung und der mathematischen Hilfsmittel beweist. Mit zahlreichen originellen Übungen am Ende eines jeden Kapitels.

Mathematical Methods for Engineers and Scientists 3

Author: Kwong-Tin Tang
Publisher: Springer Science & Business Media
ISBN: 9783540446958
Release Date: 2006-11-30
Genre: Science

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous examples, completely worked out, together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Rechenmethoden der Physik

Author: May-Britt Kallenrode
Publisher: Springer-Verlag
ISBN: 9783540274827
Release Date: 2006-03-30
Genre: Science

Die vollständig überarbeitete zweite Auflage der Rechenmethoden der Physik führt beispiel- und praxisorientiert in mathematische Handwerkszeuge wie Differentialgleichungen ein. Methoden der Fehlerrechnung, wie im Praktikum benötigt, werden unter konsequenter Verwendung von Verteilungsfunktionen behandelt. Durch die enge Anbindung an das Themenspektrum der Experimentalphysik werden die Rechenmethoden in der Reihenfolge bereitgestellt, wie sie in der Experimentalphysik benötigt werden. Zahlreiche Aufgaben und Lösungen vervollständigen das Buch. In der neuen Auflage werden zudem Optimierungsprobleme, statistische Verfahren im Praktikum und numerische Verfahren ausführlich beschrieben.

Mathematical Methods for Engineers and Scientists 2

Author: Kwong-Tin Tang
Publisher: Springer Science & Business Media
ISBN: 9783540302704
Release Date: 2006-12-13
Genre: Science

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Mathematical Methods for Engineers and Scientists 1

Author: Kwong-Tin Tang
Publisher: Springer Science & Business Media
ISBN: 9783540302742
Release Date: 2006-11-22
Genre: Science

The topics of this set of student-oriented books are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Mathematical Methods for the Physical Sciences

Author: K. F. Riley
Publisher: Cambridge University Press
ISBN: 0521098394
Release Date: 1974-10-03
Genre: Mathematics

Designed for first and second year undergraduates at universities and polytechnics, as well as technical college students.

Mathematische Physik

Author: Chun Wa Wong
Publisher: Springer
ISBN: 3860251147
Release Date: 1994
Genre:

Physikalische Theorien sind ohne grA1/4ndliche Kenntnisse A1/4ber deren mathematische Grundlagen nur schwer zu erfassen un kaum sinnfAllig zu nutzen. Elektrik und Magnetismus - ohne Wissen A1/4ber Verktoren und Felder im Raum? Klassische und Quantenmechanik - ohne Kenntnisse A1/4ber Transformationen, Matrizen und Operatoren? Wong versteht solcherart nAtiges Wissen ohne Weitschweifigkeit - der Denkweise des Physikers, mehr noch dem jeweiligen Kenntnisstand des Studenten angemessen - zu vermitteln. EinfA1/4hrend, kurz und prAzise, mit der langen Erfahrung des Hochschullehrers. Daher ein selten geglA1/4cktes Lehr- aber auch Handbuch zugleich, versehen mit Aoebungen und dem nAtigen Formelwerk.

Visualize This

Author: Nathan Yau
Publisher: John Wiley & Sons
ISBN: 9783527760220
Release Date: 2012-12-01
Genre: Statistics / Graphic methods / Data processing

A guide on how to visualise and tell stories with data, providing practical design tips complemented with step-by-step tutorials.

Mathematical Sciences Technology and Economic Competitiveness

Author: National Research Council
Publisher: National Academies Press
ISBN: 9780309044837
Release Date: 1991-02-01
Genre: Political Science

This book describes the contributions of mathematics to the nation's advanced technology and to economic competitiveness. Examples from five industries--aircraft, petroleum, automotive, semiconductor, and telecommunications--illustrate how mathematics enters into and improves industry. Mathematical Sciences, Technology, and Economic Competitiveness addresses these high-technology industries and breadth of mathematical endeavors in the United States as they materially contribute to the technology base from which innovation in these industries flows. The book represents a serious attempt by the mathematics community to bring about an awareness by policymakers of the pervasive influence of mathematics in everyday life.

Calculating the Secrets of Life

Author: Committee on the Mathematical Sciences in Genome and Protein Structure Research
Publisher: National Academies Press
ISBN: 9780309556163
Release Date: 1995-04-20
Genre: Science

As researchers have pursued biology's secrets to the molecular level, mathematical and computer sciences have played an increasingly important role--in genome mapping, population genetics, and even the controversial search for "Eve," hypothetical mother of the human race. In this first-ever survey of the partnership between the two fields, leading experts look at how mathematical research and methods have made possible important discoveries in biology. The volume explores how differential geometry, topology, and differential mechanics have allowed researchers to "wind" and "unwind" DNA's double helix to understand the phenomenon of supercoiling. It explains how mathematical tools are revealing the workings of enzymes and proteins. And it describes how mathematicians are detecting echoes from the origin of life by applying stochastic and statistical theory to the study of DNA sequences. This informative and motivational book will be of interest to researchers, research administrators, and educators and students in mathematics, computer sciences, and biology.