Introduction to Mathematical PhysicsIntroduction to Mathematical Physics

Enns, Richard H., and George C. McGuire, Nonlinear Physics with Mathematica for Scientists and Engineers, Birkhauser, Boston, 2001. ... Ford, John R., Classical Mechanics, University Science Books, Sausalito, 2005.

Author: Chun Wa Wong

Publisher: Oxford University Press

ISBN: 9780199641390


Page: 716

View: 493

Introduction to Mathematical Physics explains to the reader why and how mathematics is needed in the description of physical events in space. For undergraduates in physics, it is a classroom-tested textbook on vector analysis, linear operators, Fourier series and integrals, differential equations, special functions and functions of a complex variable. Strongly correlated with core undergraduate courses on classical and quantum mechanics and electromagnetism, ithelps the student master these necessary mathematical skills.

Mathematical PhysicsMathematical Physics

Related Titles Vaughn, M. T. Introduction to Mathematical Physics 2007 ISBN 978-3-527-40627-2 Kelly, ... M. Applied Mathematical Methods in Theoretical Physics Second Edition 2009 ISBN 978-3-527-40936-5 Courant, R., Hilbert, ...

Author: Shigeji Fujita

Publisher: John Wiley & Sons

ISBN: 9783527408085


Page: 466

View: 940

This topical new book discusses in detail the mathematical skills needed throughout common graduate level courses in physics. It integrates the mathematics with the associated physical content, providing a new standard in mathematical physics textbooks and features approximately 450 end-of-chapter problems, with free solutions available to lecturers from the Wiley-VCH website.

A Physicist s Guide to MathematicaA Physicist s Guide to Mathematica

[ER85] R. Eisberg and R. Resnick. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, Second Edition. ... An Introduction to Computer Simulation Methods: Applications to Physical Systems, Third Edition.

Author: Patrick T. Tam

Publisher: Academic Press

ISBN: 008092624X


Page: 641

View: 957

For the engineering and scientific professional, A Physicist’s Guide to Mathematica, Second Edition provides an updated reference guide based on the 2007 new 6.0 release, providing an organized and integrated desk reference with step-by-step instructions for the most commonly used features of the software as it applies to research in physics. For professors teaching physics and other science courses using the Mathematica software, A Physicist’s Guide to Mathematica, Second Edition is the only fully compatible (new software release) Mathematica text that engages students by providing complete topic coverage, new applications, exercises and examples that enable the user to solve a wide range of physics problems. Does not require prior knowledge of Mathematica or computer programming Can be used as either a primary or supplemental text for upper-division physics majors Provides over 450 end-of-section exercises and end-of-chapter problems Serves as a reference suitable for chemists, physical scientists, and engineers Compatible with Mathematica Version 6, a recent major release

Introduction to Formal PhilosophyIntroduction to Formal Philosophy

[A nice introduction to category theory.]. 3. ... A representation of physical quantities with topos arrows foundation ̆δo(A) for theories of physics. III. The R. Journal of Mathematical Physics, 49(5), 777–825 9.

Author: Sven Ove Hansson

Publisher: Springer

ISBN: 9783319774343


Page: 733

View: 595

This Undergraduate Textbook introduces key methods and examines the major areas of philosophy in which formal methods play pivotal roles. Coverage begins with a thorough introduction to formalization and to the advantages and pitfalls of formal methods in philosophy. The ensuing chapters show how to use formal methods in a wide range of areas. Throughout, the contributors clarify the relationships and interdependencies between formal and informal notions and constructions. Their main focus is to show how formal treatments of philosophical problems may help us understand them better. Formal methods can be used to solve problems but also to express new philosophical problems that would never have seen the light of day without the expressive power of the formal apparatus. ​Formal philosophy merges work in different areas of philosophy as well as logic, mathematics, computer science, linguistics, physics, psychology, biology, economics, political theory, and sociology. This title offers an accessible introduction to this new interdisciplinary research area to a wide academic audience.

Subatomic Physics An Introduction To Nuclear And Particle Physics And AstrophysicsSubatomic Physics An Introduction To Nuclear And Particle Physics And Astrophysics

2.4: (a) The nuclear particle density profile ρ(r), in units of fm3, for the cases: i) A = 40, a = 0.5 fm (solid line) ... -E(R/a)] used above can be computed only numerically (see Mathematica for its definition and use). where Z is the ...

Author: Ioannis John Demetrius Vergados

Publisher: World Scientific

ISBN: 9789811229817


Page: 504

View: 707

This book is intended for undergraduate or beginning graduate students. The net outcome is material to cover one integrated course on Nuclear and Particle Physics as well as Astrophysics.There are many advantages in teaching all these subjects together as they have become increasingly inseparable. From a theoretical point of view, understanding the similarities between atoms, nuclei and other hadrons and applying analogs from one to the other have been very effective in research and they have led to the development of all these fields. From an experimental point of view, a high energy experimentalist must understand nuclear physics, if he or she wants to construct new devices, like detectors, etc., appropriate for observing new high energy phenomena. Furthermore, an understanding of certain areas of astrophysics and the physics of the cosmos, demands a good grasp of both nuclear and particle physics.This book is intended as a menu from which the reader can pick material according to his or her taste and interests. The authors inserted proper cross references to make a specific selection by the reader from this menu as easily digestible as possible. The authors supplied sets of problems with varying degree of complexity, accompanied by hints or a sketch of the solution, if needed, in most chapters.

Mathematical Methods in Physics and Engineering with MathematicaMathematical Methods in Physics and Engineering with Mathematica

1] Wolfram, S. et al, The Mathematica Book, Mathematica Version 4, Wolfram Media, Fourth Edition, Cambridge University Press, ... 7] Gaylord, R. et al, Introduction to Programming with Mathematica, TelosSpringer, Santa Clara, CA, 1993.

Author: Ferdinand F. Cap

Publisher: CRC Press

ISBN: 9780203502600


Page: 352

View: 535

More than ever before, complicated mathematical procedures are integral to the success and advancement of technology, engineering, and even industrial production. Knowledge of and experience with these procedures is therefore vital to present and future scientists, engineers and technologists. Mathematical Methods in Physics and Engineering

Trends in Partial Differential Equations of Mathematical PhysicsTrends in Partial Differential Equations of Mathematical Physics

References = [ 1 ] R. Betchow , An inequality concerning the production of vorticity in isotropic turbulence . Physics of Fluids ( 1956 ) ... [ 6 ] G.P. Galdi , An Introduction to the Navier - Stokes initial - boundary value problem .

Author: José F. Rodrigues

Publisher: Springer Science & Business Media

ISBN: 376437165X


Page: 282

View: 535

Vsevolod Alekseevich Solonnikov is known as one of the outstanding mathematicians from the St. Petersburg Mathematical School. His remarkable results on exact estimates of solutions to boundary and initial-boundary value problems for linear elliptic, parabolic, Stokes and Navier-Stokes systems, his methods and contributions to the inverstigation of free boundary problems, in particular in fluid mechanics, are well known to specialists all over the world. The International Conference on "Trends in Partial Differential Equations of Mathematical Physics" was held on the occasion of his 70th birthday in ??bidos (Portugal) from June 7 to 10, 2003. The conference consisted of thirty-eight invited and contributed lectures and gathered, in the charming and unique medieval town of ??bidos, about sixty participants from fifteen countries. This book contains twenty original contributions on many topics related to V.A. Solonnikov's work, selected from the invited talks of the conference.

MLI Physics CollectionMLI Physics Collection

2nd Ed. Cambridge University Press, 2006. Steiner, Robert V. and Schmidt, Philip P. Schaum's Outline: Mathematics for Physics Students, McGraw-Hill, 2011. Harper, Charlie, Introduction to Mathematical Physics, Prentice-Hall, ...

Author: Mercury Learning &. Information

Publisher: Stylus Publishing, LLC

ISBN: 9781683920762


Page: 5057

View: 817

This digital collection of twelve book length titles encompasses all of the major subject areas of physics. All twelve titles are combined into one easily downloadable file and are fully-searchable in a Web.pdf, bookmarked, file format. Titles include electromagnetism, particle physics, quantum mechanics, theory of relativity, mathematical methods for physics, computational physics, electrical engineering experiments, multiphysics modeling, solid state physics, radio astronomy, Newtonian mechanics, and physics lab experiments. FEATURES: • Includes 12 full length book titles in one, fully searchable, Web.pdf file • Each book title is preceded by a descriptive page with overview and features • All titles include the complete front matter, text, and end matter from the original printed version • Over 5000 pages of physics information in one file • Complete file downloads in less than two minutes LIST OF TITLES Particle Physics. Robert Purdy, PhD Mathematical Methods for Physics Using MATLAB and Maple. J. Claycomb, PhD The Special Theory of Relativity. Dennis Morris, PhD Computational Physics. Darren Walker, PhD Quantum Mechanics. Dennis Morris, PhD Basic Electromagnetic Theory. James Babington, PhD Physics Lab Experiments. Matthew M. J. French, PhD Newtonian Mechanics. Derek Raine, PhD Solid State Physics. David Schmool, PhD Multiphysics Modeling Using COMSOL5 and MATLAB. R. Pryor, PhD Radio Astronomy. S. Joardar, PhD Electrical Engineering Experiments. G.P. Chhalotra, PhD

Mathematica R in Theoretical PhysicsMathematica R in Theoretical Physics

The author also includes the derivation of scaling solutions in non-linear physics and has added an introduction to Mathematica specifically designed for physicists and engineers - expanding and strengthening the original work.

Author: Gerd Baumann

Publisher: Springer

ISBN: 0387944249


Page: 348

View: 581

Mathematica in Theoretical Physics illustrates how Mathematica can be utilized to solve physical problems and deal with theoretical concepts. A translation of the highly successful German language book published by Springer-Verlag in 1993, this title includes over one hundred new pages containing more examples in classical mechanics. Non-trivial examples in electrodynamics, quantum mechanics, and general relativity are also provided. The author also includes the derivation of scaling solutions in non-linear physics and has added an introduction to Mathematica specifically designed for physicists and engineers - expanding and strengthening the original work. The diskette contains program code in Mathematica Notebook format.

The Logic of Thermostatistical PhysicsThe Logic of Thermostatistical Physics

Gerard G. Emch, Chuang Liu. G.B. Lubkin. Nobel prize in physics to Lee, Osheroff and Richardson for discovery ... Phil. Sci., 47:339–349, 1980. J. Malitz. Introduction to mathematical logic. Springer, New York, 1979. R. Mane.

Author: Gerard G. Emch

Publisher: Springer Science & Business Media

ISBN: 9783662048863


Page: 703

View: 236

This book is devoted to a thorough analysis of the role that models play in the practise of physical theory. The authors, a mathematical physicist and a philosopher of science, appeal to the logicians’ notion of model theory as well as to the concepts of physicists.

Relativistic Kinetic TheoryRelativistic Kinetic Theory

[70] R. Hakim. Remarks on relativistic statistical mechanics. II. Hierarchies for the reduced densities. Journal of Mathematical Physics, 8:1379–1400, 1967. [71] P. C. de Jagher and F. W. ... Introduction in Kinetic Theory of Gases.

Author: Gregory V. Vereshchagin

Publisher: Cambridge University Press

ISBN: 9781316982563



View: 192

Relativistic kinetic theory has widespread application in astrophysics and cosmology. The interest has grown in recent years as experimentalists are now able to make reliable measurements on physical systems where relativistic effects are no longer negligible. This ambitious monograph is divided into three parts. It presents the basic ideas and concepts of this theory, equations and methods, including derivation of kinetic equations from the relativistic BBGKY hierarchy and discussion of the relation between kinetic and hydrodynamic levels of description. The second part introduces elements of computational physics with special emphasis on numerical integration of Boltzmann equations and related approaches, as well as multi-component hydrodynamics. The third part presents an overview of applications ranging from covariant theory of plasma response, thermalization of relativistic plasma, comptonization in static and moving media to kinetics of self-gravitating systems, cosmological structure formation and neutrino emission during the gravitational collapse.

Advanced Concepts in Particle and Field TheoryAdvanced Concepts in Particle and Field Theory

M. T. Vaughn, Introduction to Mathematical Physics, Wiley-VCH, 2007. ... M. Veltman, Facts and Mysteries in Elementary Particle Physics, World Scientific, 2003. ... R. Wald, General Relativity, University of Chicago Press, 1984.

Author: Tristan Hübsch

Publisher: Cambridge University Press

ISBN: 9781316368763



View: 360

Uniting the usually distinct areas of particle physics and quantum field theory, gravity and general relativity, this expansive and comprehensive textbook of fundamental and theoretical physics describes the quest to consolidate the basic building blocks of nature, by journeying through contemporary discoveries in the field, and analysing elementary particles and their interactions. Designed for advanced undergraduates and graduate students and abounding in worked examples and detailed derivations, as well as including historical anecdotes and philosophical and methodological perspectives, this textbook provides students with a unified understanding of all matter at the fundamental level. Topics range from gauge principles, particle decay and scattering cross-sections, the Higgs mechanism and mass generation, to spacetime geometries and supersymmetry. By combining historically separate areas of study and presenting them in a logically consistent manner, students will appreciate the underlying similarities and conceptual connections to be made in these fields.

Quaternions Clifford Algebras and Relativistic PhysicsQuaternions Clifford Algebras and Relativistic Physics

Patrick R. Girard. Introduction. If one examines the mathematical tools used in physics, one finds essentially three calculi: the classical vector calculus, ... Is it possible to introduce more coherence and unity in this set?

Author: Patrick R. Girard

Publisher: Springer Science & Business Media

ISBN: 9783764377915


Page: 180

View: 574

The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have privileged a geometric approach, this book uses an algebraic approach that can be introduced as a tensor product of quaternion algebras and provides a unified calculus for much of physics. It proposes a pedagogical introduction to this new calculus, based on quaternions, with applications mainly in special relativity, classical electromagnetism, and general relativity.

Mathematica for Theoretical PhysicsMathematica for Theoretical Physics

Introduction. Kinematics is concerned with the motion of a body. We assume that the motion is in itself present. At the moment, we do not ask for the origin of the motion (i.e., the forces causing the motion). The consideration of the ...

Author: Gerd Baumann

Publisher: Springer Science & Business Media

ISBN: 9780387251127


Page: 544

View: 910

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user’s purposes. New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment. Notebooks for problem solving and learning.

The Physics of Fluids and PlasmasThe Physics of Fluids and Plasmas

An Introduction for Astrophysicists Arnab Rai Choudhuri, Professor of Physics Arnab Rai Choudhuri. Mathews , J. and Walker , R. L. 1970 , Mathematical Methods of Physics . W.A. Benjamin . [ S. f . r . ] Maunder , E. W. 1904 , Mon. Not .

Author: Arnab Rai Choudhuri

Publisher: Cambridge University Press

ISBN: 0521555434


Page: 427

View: 793

A good working knowledge of fluid mechanics and plasma physics is essential for the modern astrophysicist. This graduate textbook provides a clear, pedagogical introduction to these core subjects. Assuming an undergraduate background in physics, this book develops fluid mechanics and plasma physics from first principles. This book is unique because it presents neutral fluids and plasmas in a unified scheme, clearly indicating both their similarities and their differences. Also, both the macroscopic (continuum) and microscopic (particle) theories are developed, establishing the connections between them. Throughout, key examples from astrophysics are used, though no previous knowledge of astronomy is assumed. Exercises are included at the end of chapters to test the reader's understanding. This textbook is aimed primarily at astrophysics graduate students. It will also be of interest to advanced students in physics and applied mathematics seeking a unified view of fluid mechanics and plasma physics, encompassing both the microscopic and macroscopic theories.

Mathematical Perspectives on Theoretical PhysicsMathematical Perspectives on Theoretical Physics

(i) C. N. Yang (Geometry of Physics); (ii) F. Gürsey (Geometrization of unified fields); (iii) J. D. Bekenstein ... 1999. Basics of QuANIUM THEORY 1 INTRODUCTION We devote this chapter 448 Mathematical Perspectives on Theoretical Physics.

Author: Nirmala Prakash

Publisher: World Scientific Publishing Company

ISBN: 9781911298243


Page: 864

View: 368

This book presents the basics of mathematics that are needed for learning the physics of today. It describes briefly the theories of groups and operators, finite- and infinite-dimensional algebras, concepts of symmetry and supersymmetry, and then delineates their relations to theories of relativity and black holes, classical and quantum physics, electroweak fields and Yang-Mills. It concludes with a chapter on (the complex theory of) strings and superstrings and their link to black holes — an idea that fascinates both the physicist and the mathematician. Contents:Complex Functions, Riemann Surfaces and Two-Dimensional Conformal Field Theory (an Introduction)Elements of Group Theory and Group RepresentationsA Primer on OperatorsBasics of Algebras and Related ConceptsInfinite-Dimensional AlgebrasThe Role of Symmetry in Physics and MathematicsAll That's Super — An IntroductionGravitation, Relativity and Black HolesBasics of Quantum TheoryTheory of Yang–Mills and the Yang–Mills–Higgs MechanismStrings and Superstrings (Elementary Aspects) Readership: Upper level undergraduates, graduate students, lecturers and researchers in theoretical physics, mathematical physics, quantum physics and astrophysics as well as Yang-Mills and superstring theory.

The Mathematica GuideBook for ProgrammingThe Mathematica GuideBook for Programming

Nonlinear Physics with Maple for Scientists, Birkhäuser, Basel, 1997. R. Enns ... F. M. Fernández, R. Guardiola, J. Ros, M. Znojil, quant-ph/9812026 (1998). ... An Introduction to Mathematical Modelling, Wiley, Chichester, 1994.

Author: Michael Trott

Publisher: Springer

ISBN: 9781441985033


Page: 1028

View: 584

This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes -- Programming, Graphics, and Mathematics, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises. This first volume begins with the structure of Mathematica expressions, the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities. It then covers the hierarchical construction of objects out of symbolic expressions, the definition of functions, the recognition of patterns and their efficient application, program flows and program structuring, and the manipulation of lists. An indispensible resource for students, researchers and professionals in mathematics, the sciences, and engineering.

Mathematical Computation with Maple V Ideas and ApplicationsMathematical Computation with Maple V Ideas and Applications

Denis Donnelly, MathCAD" for Introductory Physics (Addison-Wesley, Reading, MA, 1992). ... James B. Gerhart, Russell K. Hobbie, Lillian C. McDermott, Robert H. Romer, and Bruce R. Thomas, "The undergraduate physics major," Am. J. Phys.

Author: Thomas Lee

Publisher: Springer Science & Business Media

ISBN: 9781461203513


Page: 199

View: 543

Developments in both computer hardware and Perhaps the greatest impact has been felt by the software over the decades have fundamentally education community. Today, it is nearly changed the way people solve problems. impossible to find a college or university that has Technical professionals have greatly benefited not introduced mathematical computation in from new tools and techniques that have allowed some form, into the curriculum. Students now them to be more efficient, accurate, and creative have regular access to the amount of in their work. computational power that were available to a very exclusive set of researchers five years ago. This Maple V and the new generation of mathematical has produced tremendous pedagogical computation systems have the potential of challenges and opportunities. having the same kind of revolutionary impact as high-level general purpose programming Comparisons to the calculator revolution of the languages (e.g. FORTRAN, BASIC, C), 70's are inescapable. Calculators have application software (e.g. spreadsheets, extended the average person's ability to solve Computer Aided Design - CAD), and even common problems more efficiently, and calculators have had. Maple V has amplified our arguably, in better ways. Today, one needs at mathematical abilities: we can solve more least a calculator to deal with standard problems problems more accurately, and more often. In in life -budgets, mortgages, gas mileage, etc. specific disciplines, this amplification has taken For business people or professionals, the excitingly different forms.