Mathematics for Physicists and Engineers
Springer Berlin (Verlag)
978-3-642-54123-0 (ISBN)
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This textbook offers an accessible approach to the subject of mathematics which divides the topic into smaller units, guiding students through questions, exercises and problems designed to slowly increase student confidence and experience. The sequence of studies is individualised according to performance and can be regarded as full tutorial course.
The study guide satisfies two objectives simultaneously: firstly it enables students to make effective use of the textbook and secondly it offers advice on the improvement of study skills. Empirical studies have shown that the student's competence for using written information has improved significantly by using this study guide.
The new edition includes a new chapter on Fourier integrals and Fourier transforms, numerous sections had been updated, 30 new problems with solutions had been added. The interactive study guide has seen a substantial update.
Klaus Weltner ist an der Universität Frankfurt tätig.
Peter Schuster, geboren 1957, lehrte von 2006 bis 2010 als Professor an der Universität des Saarlandes. 2009 war er "Professeur inivité" an der "École des Hautes Études en Sciences Sociales" in Paris. Seit 2011 ist er Professor für die Geschichte des Mittelalters und der Frühen Neuzeit an der Universität Bielefeld.
Preface.- Vector Algebra I: Scalars and Vectors.- Vector Algebra II: Scalar and Vector Products.- Functions.- Exponential, Logarithmic and Hyperbolic Functions.- Differential Calculus.- Integral Calculus.- Applications of Integration.- Taylor Series and Power Series.- Complex Numbers.- Differential Equations.- Laplace Transforms.- Functions of Several Variables; Partial Differentiation; and Total Differentiation.- Multiple Integrals; Coordinate Systems.- Transformation of Coordinates; Matrices.- Sets of Linear Equations; Determinants.- Eigenvalues and Eigenvectors of Real Matrices.- Vector Analysis: Surface Integrals, Divergence, Curl and Potential.- Fourier Series; Harmonic Analysis.- Probability Calculus.- Probability Distributions.- Theory of Errors.- Fourier Transforms and Fourier Integrals.- Solutions.- Index.
From the book reviews:
"In this mathematics textbook, you'll find possibly all the mathematics you'd need for first years of an undergraduate physics course - algebra, geometry, calculus and statistics. ... With the book there is also an online study guide designed to help the student advance quite quickly. ... If taken alone, the textbook is as any other mathematics textbook for physicists, together with the study guide it is an excellent combination, especially if you prefer to study alone ... ." (Kadri Tinn, AstroMadness.com, February, 2015)| Erscheint lt. Verlag | 14.7.2014 |
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| Zusatzinfo | XVII, 602 p. 385 illus. With online files/update. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 1004 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Chemie ► Physikalische Chemie | |
| Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika | |
| Schlagworte | e-learning physics • Ingenieurmathematik; Handbuch/Lehrbuch • Mathematik; Handbuch/Lehrbuch (Ingenieure/Techniker) • Mathematik; Handbuch/Lehrbuch (Physik) • Textbook Algebra Physics • Textbook Differential Calculus Physics • Textbook Laplace Transforms • textbook mathematical physics • Textbook Mathematics Engineering • Textbook Mathematics Physics • textbook math engineering • textbook math physics • Textbook Weltner |
| ISBN-10 | 3-642-54123-2 / 3642541232 |
| ISBN-13 | 978-3-642-54123-0 / 9783642541230 |
| Zustand | Neuware |
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