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Algebra --- Mathematical physics --- Vector algebra. --- Tensor algebra. --- Vector analysis. --- Calculus of tensors. --- 512.64 --- Linear and multilinear algebra. Matrix theory --- Mathematical physics. --- 512.64 Linear and multilinear algebra. Matrix theory --- Calculus of tensors --- Tensor algebra --- Vector algebra --- Vector analysis --- Algebra, Universal --- Mathematics --- Numbers, Complex --- Quaternions --- Spinor analysis --- Algebra, Vector --- Algebras, Linear --- Algebra, Tensor --- Tensor products --- Absolute differential calculus --- Analysis, Tensor --- Calculus, Absolute differential --- Calculus, Tensor --- Tensor analysis --- Tensor calculus --- Geometry, Differential --- Geometry, Infinitesimal --- Algèbre vectorielle. --- Algèbre tensorielle. --- Analyse vectorielle. --- Calcul tensoriel. --- Mathématiques. --- Physique.

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The Laplace transform is a useful mathematical tool encountered by students of physics, engineering, and applied mathematics, within a wide variety of important applications in mechanics, electronics, thermodynamics, and more. However, students often struggle with the rationale behind these transforms, and the physical meaning of the transform results. Using the same approach that has proven highly popular in his other Student's Guides, Professor Fleisch addresses the topics that his students have found most troublesome, providing a detailed and accessible description of Laplace transforms and how they relate to Fourier and Z-transforms, written in plain language, and including numerous, fully worked examples. The book is accompanied by a website containing a rich set of freely available supporting materials, including interactive solutions for every problem in the text, and a series of podcasts in which the author explains the important concepts, equations, and graphs of every section of the book.

Laplace transformation. --- Transformation de Laplace --- Laplace transformation --- Transformation, Laplace --- Calculus, Operational --- Differential equations --- Transformations (Mathematics) --- 517.4 --- 517.4 Functional determinants. Integral transforms. Operational calculus --- Functional determinants. Integral transforms. Operational calculus

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Waves are an important topic in the fields of mechanics, electromagnetism, and quantum theory, but many students struggle with the mathematical aspects. Written to complement course textbooks, this book focuses on the topics that students find most difficult. Retaining the highly popular approach used in Fleisch's other Student's Guides, the book uses plain language to explain fundamental ideas in a simple and clear way. Exercises and fully-worked examples help readers test their understanding of the concepts, making this an ideal book for undergraduates in physics and engineering trying to get to grips with this challenging subject. The book is supported by a suite of online resources available at www.cambridge.org/9781107643260. These include interactive solutions for every exercise and problem in the text and a series of video podcasts in which the authors explain the important concepts of every section of the book.

Waves

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The study of astronomy offers an unlimited opportunity for us to gain a deeper understanding of our planet, the Solar System, the Milky Way Galaxy, and the known Universe. Using the plain-language approach that has proven highly popular in Fleisch's other Student's Guides books, this book is ideal for non-science majors taking introductory astronomy courses.

Astronomy --- Astronomie --- Mathematics --- Study and teaching (Higher) --- Mathématiques --- Étude et enseignement (supérieur)

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Electromagnetic theory --- elektromagnetisme --- Light, Electromagnetic theory of --- Electric fields --- Magnetic fields --- Electromagnetic theory.