Mathematical Methods
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Author |
: Mary L. Boas |
Publisher |
: John Wiley & Sons |
Total Pages |
: 868 |
Release |
: 2006 |
ISBN-10 |
: 8126508108 |
ISBN-13 |
: 9788126508105 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Mathematical Methods in the Physical Sciences by : Mary L. Boas
Market_Desc: · Physicists and Engineers· Students in Physics and Engineering Special Features: · Covers everything from Linear Algebra, Calculus, Analysis, Probability and Statistics, to ODE, PDE, Transforms and more· Emphasizes intuition and computational abilities· Expands the material on DE and multiple integrals· Focuses on the applied side, exploring material that is relevant to physics and engineering· Explains each concept in clear, easy-to-understand steps About The Book: The book provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference. This book helps readers gain a solid foundation in the many areas of mathematical methods in order to achieve a basic competence in advanced physics, chemistry, and engineering.
Author |
: Carl M. Bender |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 605 |
Release |
: 2013-03-09 |
ISBN-10 |
: 9781475730692 |
ISBN-13 |
: 1475730691 |
Rating |
: 4/5 (92 Downloads) |
Synopsis Advanced Mathematical Methods for Scientists and Engineers I by : Carl M. Bender
A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.
Author |
: H. W. Wyld |
Publisher |
: CRC Press |
Total Pages |
: 395 |
Release |
: 2018-03-14 |
ISBN-10 |
: 9780429978647 |
ISBN-13 |
: 0429978642 |
Rating |
: 4/5 (47 Downloads) |
Synopsis Mathematical Methods For Physics by : H. W. Wyld
This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.
Author |
: Gerald Teschl |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 322 |
Release |
: 2009 |
ISBN-10 |
: 9780821846605 |
ISBN-13 |
: 0821846604 |
Rating |
: 4/5 (05 Downloads) |
Synopsis Mathematical Methods in Quantum Mechanics by : Gerald Teschl
Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered. The spectral theorem is a central topic in this approach and is introduced at an early stage. Part 2 starts with the free Schrodinger equation and computes the free resolvent and time evolution. Position, momentum, and angular momentum are discussed via algebraic methods. Various mathematical methods are developed, which are then used to compute the spectrum of the hydrogen atom. Further topics include the nondegeneracy of the ground state, spectra of atoms, and scattering theory. This book serves as a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required. In particular, no functional analysis and no Lebesgue integration theory are assumed. It develops the mathematical tools necessary to prove some key results in nonrelativistic quantum mechanics. Mathematical Methods in Quantum Mechanics is intended for beginning graduate students in both mathematics and physics and provides a solid foundation for reading more advanced books and current research literature. It is well suited for self-study and includes numerous exercises (many with hints).
Author |
: Russell L. Herman |
Publisher |
: CRC Press |
Total Pages |
: 776 |
Release |
: 2013-12-04 |
ISBN-10 |
: 9781000687262 |
ISBN-13 |
: 1000687260 |
Rating |
: 4/5 (62 Downloads) |
Synopsis A Course in Mathematical Methods for Physicists by : Russell L. Herman
Based on the author's junior-level undergraduate course, this introductory textbook is designed for a course in mathematical physics. Focusing on the physics of oscillations and waves, A Course in Mathematical Methods for Physicists helps students understand the mathematical techniques needed for their future studies in physics. It takes a bottom-u
Author |
: Donald Allan McQuarrie |
Publisher |
: University Science Books |
Total Pages |
: 1188 |
Release |
: 2003 |
ISBN-10 |
: 1891389246 |
ISBN-13 |
: 9781891389245 |
Rating |
: 4/5 (46 Downloads) |
Synopsis Mathematical Methods for Scientists and Engineers by : Donald Allan McQuarrie
"Intended for upper-level undergraduate and graduate courses in chemistry, physics, math and engineering, this book will also become a must-have for the personal library of all advanced students in the physical sciences. Comprised of more than 2000 problems and 700 worked examples that detail every single step, this text is exceptionally well adapted for self study as well as for course use."--From publisher description.
Author |
: Sadri Hassani |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 673 |
Release |
: 2013-11-11 |
ISBN-10 |
: 9780387215624 |
ISBN-13 |
: 038721562X |
Rating |
: 4/5 (24 Downloads) |
Synopsis Mathematical Methods by : Sadri Hassani
Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.
Author |
: Kenneth Franklin Riley |
Publisher |
: |
Total Pages |
: 1008 |
Release |
: 1997 |
ISBN-10 |
: OCLC:641793457 |
ISBN-13 |
: |
Rating |
: 4/5 (57 Downloads) |
Synopsis Mathematical Methods for Physics and Engineering by : Kenneth Franklin Riley
Author |
: V.I. Arnol'd |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 530 |
Release |
: 2013-04-09 |
ISBN-10 |
: 9781475720631 |
ISBN-13 |
: 1475720637 |
Rating |
: 4/5 (31 Downloads) |
Synopsis Mathematical Methods of Classical Mechanics by : V.I. Arnol'd
This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.
Author |
: Gregory J. Gbur |
Publisher |
: Cambridge University Press |
Total Pages |
: 819 |
Release |
: 2011-01-06 |
ISBN-10 |
: 9781139492690 |
ISBN-13 |
: 1139492691 |
Rating |
: 4/5 (90 Downloads) |
Synopsis Mathematical Methods for Optical Physics and Engineering by : Gregory J. Gbur
The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.