Physics for Mathematicians
Author | : Michael Spivak |
Publisher | : |
Total Pages | : 733 |
Release | : 2010 |
Genre | : Mechanics |
ISBN | : 9780914098324 |
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Author | : Michael Spivak |
Publisher | : |
Total Pages | : 733 |
Release | : 2010 |
Genre | : Mechanics |
ISBN | : 9780914098324 |
Author | : Michael Stone |
Publisher | : Cambridge University Press |
Total Pages | : 821 |
Release | : 2009-07-09 |
Genre | : Science |
ISBN | : 1139480618 |
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.
Author | : Shlomo Sternberg |
Publisher | : Courier Corporation |
Total Pages | : 418 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 0486292711 |
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.
Author | : Frederick W. Byron |
Publisher | : Courier Corporation |
Total Pages | : 674 |
Release | : 2012-04-26 |
Genre | : Science |
ISBN | : 0486135063 |
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.
Author | : Michael M. Woolfson |
Publisher | : Oxford University Press |
Total Pages | : 805 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 0199289298 |
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.
Author | : Gesche Pospiech |
Publisher | : Springer |
Total Pages | : 385 |
Release | : 2019-07-02 |
Genre | : Science |
ISBN | : 3030046273 |
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.
Author | : Adam Marsh |
Publisher | : World Scientific |
Total Pages | : 301 |
Release | : 2017-11-27 |
Genre | : Science |
ISBN | : 9813233931 |
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.
Author | : Matt Tweed |
Publisher | : Bloomsbury Publishing USA |
Total Pages | : 417 |
Release | : 2011-11-01 |
Genre | : Mathematics |
ISBN | : 0802778992 |
Collects six short illustrated volumes covering topics in mathematics, physics, chemistry, biology, evolution, and astronomy.
Author | : Francis Bitter |
Publisher | : Courier Corporation |
Total Pages | : 210 |
Release | : 2004-01-01 |
Genre | : Mathematics |
ISBN | : 0486435016 |
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.
Author | : Walter Appel |
Publisher | : |
Total Pages | : 680 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : |
Aims to show graduate students and researchers the vital benefits of integrating mathematics into their study and experience of the physical world. This book details numerous topics from the frontiers of modern physics and mathematics such as convergence, Green functions, complex analysis, Fourier series and Fourier transform, tensors, and others.