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

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.

Curvature in Mathematics and Physics

Curvature in Mathematics and Physics
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.

Mathematics for Physics

Mathematics for Physics
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.

Handbook of Mathematics and Computational Science

Handbook of Mathematics and Computational Science
Author: John W. Harris
Publisher: Springer Science & Business Media
Total Pages: 1064
Release: 1998-07-23
Genre: Mathematics
ISBN: 9780387947464

This book gathers thousands of up-to-date equations, formulas, tables, illustrations, and explanations into one invaluable volume. It includes over a thousand pages of mathematical material as well as chapters on probability, mathematical statistics, fuzzy logic, and neural networks. It also contains computer language overviews of C, Fortran, and Pascal.

Mathematics for Physicists

Mathematics for Physicists
Author: Alexander Altland
Publisher: Cambridge University Press
Total Pages: 723
Release: 2019-02-14
Genre: Science
ISBN: 1108651151

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.

Guide To Mathematical Methods For Physicists, A: With Problems And Solutions

Guide To Mathematical Methods For Physicists, A: With Problems And Solutions
Author: Michela Petrini
Publisher: World Scientific Publishing Company
Total Pages: 339
Release: 2017-07-07
Genre: Science
ISBN: 1786343460

Mathematics plays a fundamental role in the formulation of physical theories. This textbook provides a self-contained and rigorous presentation of the main mathematical tools needed in many fields of Physics, both classical and quantum. It covers topics treated in mathematics courses for final-year undergraduate and graduate physics programmes, including complex function: distributions, Fourier analysis, linear operators, Hilbert spaces and eigenvalue problems. The different topics are organised into two main parts — complex analysis and vector spaces — in order to stress how seemingly different mathematical tools, for instance the Fourier transform, eigenvalue problems or special functions, are all deeply interconnected. Also contained within each chapter are fully worked examples, problems and detailed solutions. A companion volume covering more advanced topics that enlarge and deepen those treated here is also available.

Mathematical Handbook for Scientists and Engineers

Mathematical Handbook for Scientists and Engineers
Author: Granino A. Korn
Publisher: Courier Corporation
Total Pages: 1154
Release: 2013-04-26
Genre: Technology & Engineering
ISBN: 0486320235

Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.

Concise Handbook of Mathematics and Physics

Concise Handbook of Mathematics and Physics
Author: Alexander G. Alenitsyn
Publisher: CRC Press
Total Pages: 536
Release: 2020-12-17
Genre: Mathematics
ISBN: 1000161528

Concise Handbook of Mathematics and Physics presents a unified and coherent treatment of all the major aspects of modern elementary physics and mathematics. This complete text/reference includes definitions of fundamental notations and physical and mathematical quantities, formulas that express the laws of physics, axioms and theorems of mathematics, and more. The information is organized logically (instead of alphabetically) for better comprehension and quick, convenient access. The book contains extensive cross-referencing between the mathematical and physical sections. reflecting the considerable overlap between these two areas of study and increasing the usefulness of this handbook. Fundamental concepts, theorems, and laws are demonstrated through numerous practical examples and tasks to help build problem-solving skills.

A Concise Handbook of Mathematics, Physics, and Engineering Sciences

A Concise Handbook of Mathematics, Physics, and Engineering Sciences
Author: Andrei D. Polyanin
Publisher: CRC Press
Total Pages: 1080
Release: 2010-10-18
Genre: Mathematics
ISBN: 1439806403

A Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students

Introduction to Mathematical Physics

Introduction to Mathematical Physics
Author: Michael T. Vaughn
Publisher: John Wiley & Sons
Total Pages: 543
Release: 2008-09-26
Genre: Science
ISBN: 3527618864

A comprehensive survey of all the mathematical methods that should be available to graduate students in physics. In addition to the usual topics of analysis, such as infinite series, functions of a complex variable and some differential equations as well as linear vector spaces, this book includes a more extensive discussion of group theory than can be found in other current textbooks. The main feature of this textbook is its extensive treatment of geometrical methods as applied to physics. With its introduction of differentiable manifolds and a discussion of vectors and forms on such manifolds as part of a first-year graduate course in mathematical methods, the text allows students to grasp at an early stage the contemporary literature on dynamical systems, solitons and related topological solutions to field equations, gauge theories, gravitational theory, and even string theory. Free solutions manual available for lecturers at www.wiley-vch.de/supplements/.