Physics for Mathematicians
Author: Michael Spivak
Publisher:
Published: 2010
Total Pages: 733
ISBN-13: 9780914098324
DOWNLOAD EBOOKRead and Download eBook Full
Author: Michael Spivak
Publisher:
Published: 2010
Total Pages: 733
ISBN-13: 9780914098324
DOWNLOAD EBOOKAuthor: Roger Penrose
Publisher: Vintage
Published: 2021-06-09
Total Pages: 1136
ISBN-13: 0593315308
DOWNLOAD EBOOK**WINNER OF THE 2020 NOBEL PRIZE IN PHYSICS** The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book. Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of the world's greatest scientists has given us a complete and unrivalled guide to the glories of the universe that we all inhabit. 'Roger Penrose is the most important physicist to work in relativity theory except for Einstein. He is one of the very few people I've met in my life who, without reservation, I call a genius' Lee Smolin
Author: Michael Stone
Publisher: Cambridge University Press
Published: 2009-07-09
Total Pages: 821
ISBN-13: 1139480618
DOWNLOAD EBOOKAn 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: Frederick W. Byron
Publisher: Courier Corporation
Published: 2012-04-26
Total Pages: 674
ISBN-13: 0486135063
DOWNLOAD EBOOKGraduate-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: Shlomo Sternberg
Publisher: Courier Corporation
Published: 2013-04-17
Total Pages: 418
ISBN-13: 0486292711
DOWNLOAD EBOOKExpert 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: Adam Marsh
Publisher: World Scientific
Published: 2017-11-27
Total Pages: 301
ISBN-13: 9813233931
DOWNLOAD EBOOKThis 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
Published: 2011-11-01
Total Pages: 417
ISBN-13: 0802778992
DOWNLOAD EBOOKCollects six short illustrated volumes covering topics in mathematics, physics, chemistry, biology, evolution, and astronomy.
Author: Gesche Pospiech
Publisher: Springer
Published: 2019-07-02
Total Pages: 383
ISBN-13: 3030046273
DOWNLOAD EBOOKThis 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: Michael M. Woolfson
Publisher: Oxford University Press
Published: 2007
Total Pages: 805
ISBN-13: 0199289298
DOWNLOAD EBOOKMathematics 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: R. Shankar
Publisher: Springer
Published: 2013-12-20
Total Pages: 371
ISBN-13: 1489967982
DOWNLOAD EBOOKBased on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus. By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences.