Physics for Mathematicians
Author : Michael Spivak
Publisher :
Page : 733 pages
File Size : 47,36 MB
Release : 2010
Category : Mechanics
ISBN : 9780914098324
Mathematical Physics
Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 1052 pages
File Size : 39,24 MB
Release : 2002-02-08
Category : Science
ISBN : 9780387985794
Book Description
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.
The Role of Mathematics in Physical Sciences
Author : Giovanni Boniolo
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 48,68 MB
Release : 2005-07-22
Category : Science
ISBN : 1402031076
Book Description
Even though mathematics and physics have been related for centuries and this relation appears to be unproblematic, there are many questions still open: Is mathematics really necessary for physics, or could physics exist without mathematics? Should we think physically and then add the mathematics apt to formalise our physical intuition, or should we think mathematically and then interpret physically the obtained results? Do we get mathematical objects by abstraction from real objects, or vice versa? Why is mathematics effective into physics? These are all relevant questions, whose answers are necessary to fully understand the status of physics, particularly of contemporary physics. The aim of this book is to offer plausible answers to such questions through both historical analyses of relevant cases, and philosophical analyses of the relations between mathematics and physics.
Mathematics for Physics
Author : Michael Stone
Publisher : Cambridge University Press
Page : 821 pages
File Size : 29,69 MB
Release : 2009-07-09
Category : Science
ISBN : 1139480618
Book Description
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.
Mathematics for Physicists
Author : Alexander Altland
Publisher : Cambridge University Press
Page : 723 pages
File Size : 43,70 MB
Release : 2019-02-14
Category : Science
ISBN : 1108651151
Book Description
This textbook is a comprehensive introduction to the key disciplines of mathematics - linear algebra, calculus, and geometry - needed in the undergraduate physics curriculum. Its leitmotiv is that success in learning these subjects depends on a good balance between theory and practice. Reflecting this belief, mathematical foundations are explained in pedagogical depth, and computational methods are introduced from a physicist's perspective and in a timely manner. This original approach presents concepts and methods as inseparable entities, facilitating in-depth understanding and making even advanced mathematics tangible. The book guides the reader from high-school level to advanced subjects such as tensor algebra, complex functions, and differential geometry. It contains numerous worked examples, info sections providing context, biographical boxes, several detailed case studies, over 300 problems, and fully worked solutions for all odd-numbered problems. An online solutions manual for all even-numbered problems will be made available to instructors.
Mathematics For Physics: An Illustrated Handbook
Author : Adam Marsh
Publisher : World Scientific
Page : 301 pages
File Size : 17,20 MB
Release : 2017-11-27
Category : Science
ISBN : 9813233931
Book Description
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.
Mathematics of Classical and Quantum Physics
Author : Frederick W. Byron
Publisher : Courier Corporation
Page : 674 pages
File Size : 25,56 MB
Release : 2012-04-26
Category : Science
ISBN : 0486135063
Book Description
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 College Physics
Author : Biman Das
Publisher : Benjamin-Cummings Publishing Company
Page : 0 pages
File Size : 41,20 MB
Release : 2004
Category : Mathematical physics
ISBN : 9780131414273
Book Description
This book is designed to help readers get up to speed quickly on the mathematical concepts and tools needed to solve basic physics problems. Instead of a rigorous development of the concepts of mathematics (as is found in a typical math book), it describes the various mathematical concepts and tools and their direct use in physics. Almost all sections end with worked-out examples and exercises taken directly from basic physics. Algebra: Dealing with Numbers and Equations in Physics. Trigonometry: A Powerful Tool to Solve-Real-World Problems. Geometry: Dealing with Shapes and Plots. Calculus: A Way of Probing the Changing World. Vectors: Tracking the Direction of a Change. Probability and Statistics: Analysis of Data and Predicting Future from the Present. For anyone needing a quick review of math for physics applications.
Curvature in Mathematics and Physics
Author : Shlomo Sternberg
Publisher : Courier Corporation
Page : 418 pages
File Size : 36,6 MB
Release : 2013-04-17
Category : Mathematics
ISBN : 0486292711
Book Description
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.
Physics and Mathematics of Quantum Many-Body Systems
Author : Hal Tasaki
Publisher : Springer Nature
Page : 534 pages
File Size : 27,77 MB
Release : 2020-05-07
Category : Technology & Engineering
ISBN : 3030412652
Book Description
This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book’s main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.
