Mathematics For Physics An Illustrated Handbook
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| 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 | : 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 | : 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 | : 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.
| 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.
| 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 | : 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.
| Author | : Walter Benenson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 1183 |
| Release | : 2006-01-13 |
| Genre | : Science |
| ISBN | : 0387952691 |
Handbook of Physics is a veritable toolbox for rapid access to a wealth of physics information for everyday use in problem solving, homework, and examinations. This complete reference includes not only the fundamental formulas of physics but also experimental methods used in practice.
| Author | : Clifford A. Pickover |
| Publisher | : Union Square + ORM |
| Total Pages | : 937 |
| Release | : 2011-09-27 |
| Genre | : Mathematics |
| ISBN | : 1402797494 |
The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.
| Author | : Paul S Addison |
| Publisher | : CRC Press |
| Total Pages | : 384 |
| Release | : 2002-07-15 |
| Genre | : Science |
| ISBN | : 9781420033397 |
The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance provides an overview of the theory and practical applications of wavelet transform methods. The author uses several hundred illustrations, some in color, to convey mathematical concepts and the results of applications. The first chapter presents a brief overview of the wavelet transform, including a short history. The remainder of the book is split into two parts: the first part discusses the mathematics of both discrete and continuous wavelet transforms while the second part deals with applications in a variety of subject areas, such as geophysics, medicine, fluid turbulence, engineering testing, speech and sound analysis, image analysis, and data compression. These application chapters make the reader aware of the similarities that exist in the use of wavelet transform analysis across disciplines. A comprehensive list of more than 700 references provides a valuable resource for further study. The book is designed specifically for the applied reader in science, engineering, medicine, finance, or any other of the growing number of application areas. Newcomers to the subject will find an accessible and clear account of the theory of continuous and discrete wavelet transforms, providing a large number of examples of their use across a wide range of disciplines. Readers already acquainted with wavelets can use the book to broaden their perspective.
