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Mathematics for Physics

Mathematics for Physics
Author: Michael Stone
Publisher: Cambridge University Press
Total Pages: 821
Release: 2009-07-09
Genre: Science
ISBN: 1139480618

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An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.


Physics for Mathematicians

Physics for Mathematicians
Author: Michael Spivak
Publisher:
Total Pages: 733
Release: 2010
Genre: Mechanics
ISBN: 9780914098324

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Curvature in Mathematics and Physics

Curvature in Mathematics and Physics
Author: Shlomo Sternberg
Publisher: Courier Corporation
Total Pages: 416
Release: 2013-04-17
Genre: Mathematics
ISBN: 0486292711

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Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.


Mathematics of Classical and Quantum Physics

Mathematics of Classical and Quantum Physics
Author: Frederick W. Byron
Publisher: Courier Corporation
Total Pages: 674
Release: 2012-04-26
Genre: Science
ISBN: 0486135063

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Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.


Mathematics for Physics

Mathematics for Physics
Author: Michael M. Woolfson
Publisher: Oxford University Press
Total Pages: 805
Release: 2007
Genre: Mathematics
ISBN: 0199289298

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Mathematics for Physics features both print and online support, with many in-text exercises and end-of-chapter problems, and web-based computer programs, to both stimulate learning and build understanding.


Sciencia

Sciencia
Author: Matt Tweed
Publisher: Bloomsbury Publishing USA
Total Pages: 417
Release: 2011-11-01
Genre: Mathematics
ISBN: 0802778992

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Collects six short illustrated volumes covering topics in mathematics, physics, chemistry, biology, evolution, and astronomy.


Mathematics in Physics Education

Mathematics in Physics Education
Author: Gesche Pospiech
Publisher: Springer
Total Pages: 385
Release: 2019-07-02
Genre: Science
ISBN: 3030046273

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This book is about mathematics in physics education, the difficulties students have in learning physics, and the way in which mathematization can help to improve physics teaching and learning. The book brings together different teaching and learning perspectives, and addresses both fundamental considerations and practical aspects. Divided into four parts, the book starts out with theoretical viewpoints that enlighten the interplay of physics and mathematics also including historical developments. The second part delves into the learners’ perspective. It addresses aspects of the learning by secondary school students as well as by students just entering university, or teacher students. Topics discussed range from problem solving over the role of graphs to integrated mathematics and physics learning. The third part includes a broad range of subjects from teachers’ views and knowledge, the analysis of classroom discourse and an evaluated teaching proposal. The last part describes approaches that take up mathematization in a broader interpretation, and includes the presentation of a model for physics teachers’ pedagogical content knowledge (PCK) specific to the role of mathematics in physics.


Mathematical Physics

Mathematical Physics
Author: Sadri Hassani
Publisher: Springer Science & Business Media
Total Pages: 1052
Release: 2002-02-08
Genre: Science
ISBN: 9780387985794

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For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.


Mathematics For Physics: An Illustrated Handbook

Mathematics For Physics: An Illustrated Handbook
Author: Adam Marsh
Publisher: World Scientific
Total Pages: 301
Release: 2017-11-27
Genre: Science
ISBN: 9813233931

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This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses. The exposition is pedagogical but compact, and the emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions, alternative notations and jargon, and relevant facts and theorems. Special attention is given to detailed figures and geometric viewpoints. Certain topics which are well covered in textbooks, such as historical motivations, proofs and derivations, and tools for practical calculations, are avoided. The primary physical models targeted are general relativity, spinors, and gauge theories, with notable chapters on Riemannian geometry, Clifford algebras, and fiber bundles.


Mathematical Physics

Mathematical Physics
Author: Francis Bitter
Publisher: Courier Corporation
Total Pages: 210
Release: 2004-01-01
Genre: Mathematics
ISBN: 0486435016

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Reader-friendly guide offers illustrative examples of the rules of physical science and how they were formulated. Topics include the role of mathematics as the language of physics; nature of mechanical vibrations; harmonic motion and shapes; geometry of the laws of motion; more. 60 figures. 1963 edition.