The Cambridge Handbook of Physics Formulas

The Cambridge Handbook of Physics Formulas

An invaluable quick-reference aid of more than 2000 of the most useful maths and physics formulas.

Author: Graham Woan

Publisher: Cambridge University Press

ISBN: 0521575079

Category: Science

Page: 219

View: 484

An invaluable quick-reference aid of more than 2000 of the most useful maths and physics formulas.
Categories: Science

Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics

The final lecture deals with the properties of spherical functions. This book is a valuable resource for mathematicians.

Author: S. L. Sobolev

Publisher: Elsevier

ISBN: 9781483181363

Category: Mathematics

Page: 440

View: 923

Pure and Applied Mathematics, Volume 56: Partial Differential Equations of Mathematical Physics provides a collection of lectures related to the partial differentiation of mathematical physics. This book covers a variety of topics, including waves, heat conduction, hydrodynamics, and other physical problems. Comprised of 30 lectures, this book begins with an overview of the theory of the equations of mathematical physics that has its object the study of the integral, differential, and functional equations describing various natural phenomena. This text then examines the linear equations of the second order with real coefficients. Other lectures consider the Lebesgue–Fubini theorem on the possibility of changing the order of integration in a multiple integral. This book discusses as well the Dirichlet problem and the Neumann problem for domains other than a sphere or half-space. The final lecture deals with the properties of spherical functions. This book is a valuable resource for mathematicians.
Categories: Mathematics

Princeton Companion to Applied Mathematics

Princeton Companion to Applied Mathematics

differential equations that follow from the boundaryvalue problems with solutions
that are beyond the class of ... role that special functions (Bessel, Kummer, and
so on) play in mathematical physics as solutions of linear differential equations.

Author: Nicholas J. Higham

Publisher: Princeton University Press

ISBN: 9780691150390

Category: Mathematics

Page: 1032

View: 884

This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index
Categories: Mathematics

Applied Mathematics

Applied Mathematics

Explore the latest concepts and applications in mathematical methods and modeling The Third Edition of this critically acclaimed text is thoroughly updated and revised with new concepts and applications to assist readers in modeling and ...

Author: J. David Logan

Publisher: Wiley-Interscience

ISBN: UCSD:31822034711382

Category: Mathematics

Page: 529

View: 114

Explore the latest concepts and applications in mathematical methods and modeling The Third Edition of this critically acclaimed text is thoroughly updated and revised with new concepts and applications to assist readers in modeling and analyzing natural, social, and technological processes. Readers are introduced to key ideas in math-ematical methods and modeling, with an emphasis on the connections between mathematics and the applied and natural sciences. The book covers the gamut of both standard and modern topics, including scaling and dimensional analysis; regular and singular perturbation; calculus of variations; Green's functions and integral equations; nonlinear wave propagation; and stability and bifurcation. Readers will discover many special features in this new and revised edition, such as: A new chapter on discrete-time models, including a section devoted to stochastic models A thorough revision of the text's 300 exercises, incorporating contemporary problemsand methods Additional material and applications of linear transformations in Rn (matrices, eigenvalues, etc.) to compare to the integral equation results New material on mathematical biology, including age-structured models, diffusion and advection, and biological modeling, including MATLAB programs Moreover, the text has been restructured to facilitate its use as a textbook. The first section covers models leading to ordinary differential equations and integral equations, and the second section focuses on partial differential equations and their applications. Exercises vary from routine calculations that reinforce basic techniques to challenging problems that stimulate advanced problem solving. With its new exercises and structure, this book is highly recommended for upper-undergraduateand beginning graduate students in mathematics, engineering, and natural sciences. Scientists and engineers will find the book to be an excellent choice for reference and self-study.
Categories: Mathematics

Applied Mathematics

Applied Mathematics

Applied mathematics plays a role in many different fields, especially the sciences and engineering.

Author: Alain Goriely

Publisher: Oxford University Press

ISBN: 9780198754046

Category: Mathematics

Page: 168

View: 484

Mathematics is playing an increasingly important role in society and the sciences, enhancing our ability to use models and handle data. While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world in which we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields. This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics and engineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Categories: Mathematics

Applied Mechanics Reviews

Applied Mechanics Reviews

It is an introductory textbook intended for students of applied mathematics,
physics, and engineering. The mathematical prerequisites for the text are the
vector calculus and differential equations. The book deals with both inviscid and
viscous ...

Author:

Publisher:

ISBN: UCSD:31822022750590

Category: Mechanics, Applied

Page:

View: 627

Categories: Mechanics, Applied

Equations of Mathematical Physics

Equations of Mathematical Physics

In order to apply the theory, the rod must be thermally insulated along the surface
and also a temperature control must be applied at the other end of the rod in
order to be able-to use the theory of temperature waves in a semi-infinite rod.

Author: A. N. Tikhonov

Publisher: Courier Corporation

ISBN: 9780486173368

Category: Science

Page: 800

View: 955

DIVThorough, rigorous advanced-undergraduate to graduate-level treatment of problems leading to partial differential equations. Hyperbolic, parabolic, elliptic equations; wave propagation in space, heat conduction in space, more. Problems. Appendixes. /div
Categories: Science

Methods of Applied Mathematics with a MATLAB Overview

Methods of Applied Mathematics with a MATLAB Overview

Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.

Author: Jon H. Davis

Publisher: Springer Science & Business Media

ISBN: 0817643311

Category: Mathematics

Page: 721

View: 382

Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.
Categories: Mathematics

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Covers the theory of boundary value problems in partial differential equations and discusses a portion of the theory from a unifying point of view while providing an introduction to each branch of its applications. 1953 edition.

Author: Stefan Bergman

Publisher: Courier Corporation

ISBN: 9780486154657

Category: Mathematics

Page: 464

View: 274

Covers the theory of boundary value problems in partial differential equations and discusses a portion of the theory from a unifying point of view while providing an introduction to each branch of its applications. 1953 edition.
Categories: Mathematics

Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

The equations of motion are reduced to either Laplace ' s equation in two
dimensions or the wave equation in one ... of P . Frank and R . von Mises ,
Differential and integral equations of mathematical physics , a reference cited by
M . M ...

Author:

Publisher:

ISBN: UCSD:31822005515523

Category: Mathematics

Page:

View: 517

Categories: Mathematics

Choice

Choice

It should be considered as a text in applied mathematics ( partial differential
equations ) and is excellent as a reference for students of applied mathematics ,
engineering , and some areas of physics . The style and presentation are
excellent ...

Author:

Publisher:

ISBN: UCSC:32106020976442

Category: Academic libraries

Page:

View: 763

Categories: Academic libraries

Handbook of Mathematical Formulas and Integrals

Handbook of Mathematical Formulas and Integrals

The extensive additions, and the inclusion of a new chapter, has made this classic work by Jeffrey, now joined by co-author Dr. H.H. Dai, an even more essential reference for researchers and students in applied mathematics, engineering, and ...

Author: Alan Jeffrey

Publisher: Elsevier

ISBN: 0080556841

Category: Mathematics

Page: 592

View: 533

The extensive additions, and the inclusion of a new chapter, has made this classic work by Jeffrey, now joined by co-author Dr. H.H. Dai, an even more essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relationships between functions, and mathematical techniques that range from matrix theory and integrals of commonly occurring functions to vector calculus, ordinary and partial differential equations, special functions, Fourier series, orthogonal polynomials, and Laplace and Fourier transforms. During the preparation of this edition full advantage was taken of the recently updated seventh edition of Gradshteyn and Ryzhik’s Table of Integrals, Series, and Products and other important reference works. Suggestions from users of the third edition of the Handbook have resulted in the expansion of many sections, and because of the relevance to boundary value problems for the Laplace equation in the plane, a new chapter on conformal mapping, has been added, complete with an atlas of useful mappings. Comprehensive coverage in reference form of the branches of mathematics used in science and engineering Organized to make results involving integrals and functions easy to locate Results illustrated by worked examples
Categories: Mathematics

Journal of Research National Bureau of Standards

Journal of Research National Bureau of Standards

Metrology . Han bad slowly through a viscous incompressible fluid . The Physics .
Mechanics . Applied Mathematics . ... but ance Test Development .
Instrumentation . Transport Systems . Ofic formula . This formula was obtained
first by Kirk ...

Author: United States. National Bureau of Standards

Publisher:

ISBN: UOM:39015021796415

Category: Mathematical physics

Page:

View: 833

Categories: Mathematical physics

Physics and Partial Differential Equations

Physics and Partial Differential Equations

The book describes the mathematical structures and features of these PDEs, including the types and basic characteristics of the equations, the behavior of solutions, and some commonly used approaches to solving PDEs.

Author: Tatsien Li

Publisher: SIAM

ISBN: 9781611972269

Category: Mathematics

Page: 264

View: 584

Now available in English for the first time, Physics and Partial Differential Equations, Volume I bridges physics and applied mathematics in a manner that is easily accessible to readers with an undergraduate-level background in these disciplines. Readers who are more familiar with mathematics than physics will discover the connection between various physical and mechanical disciplines and their related mathematical models, which are described by partial differential equations (PDEs). The authors establish the fundamental equations for fields such as electrodynamics; fluid dynamics, magnetohydrodynamics, and reacting fluid dynamics; elastic, thermoelastic, and viscoelastic mechanics; the kinetic theory of gases; special relativity; and quantum mechanics. Readers who are more familiar with physics than mathematics will benefit from in-depth explanations of how PDEs work as effective mathematical tools to more clearly express and present the basic concepts of physics. The book describes the mathematical structures and features of these PDEs, including the types and basic characteristics of the equations, the behavior of solutions, and some commonly used approaches to solving PDEs. Each chapter can be read independently and includes exercises and references.
Categories: Mathematics

Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics

A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations.

Author: Arthur Godon Webster

Publisher: Courier Dover Publications

ISBN: 9780486805153

Category: Mathematics

Page: 464

View: 606

A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary text for students, this volume constitutes a fine reference for mathematicians, physicists, and research engineers. Detailed coverage includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems; the Riemann-Volterra method; and many other basic topics. The self-contained treatment fully develops the theory and application of partial differential equations to virtually every relevant field: vibration, elasticity, potential theory, the theory of sound, wave propagation, heat conduction, and many more. A helpful Appendix provides background on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations.
Categories: Mathematics

The Functions of Mathematical Physics

The Functions of Mathematical Physics

Comprehensive text provides a detailed treatment of orthogonal polynomials, principal properties of the gamma function, hypergeometric functions, Legendre functions, confluent hypergeometric functions, and Hill's equation.

Author: Harry Hochstadt

Publisher: Courier Corporation

ISBN: 9780486168784

Category: Science

Page: 352

View: 239

Comprehensive text provides a detailed treatment of orthogonal polynomials, principal properties of the gamma function, hypergeometric functions, Legendre functions, confluent hypergeometric functions, and Hill's equation.
Categories: Science

Advanced Mathematical Methods in Science and Engineering Second Edition

Advanced Mathematical Methods in Science and Engineering  Second Edition

New to this edition, the final chapter offers an extensive treatment of numerical methods for solving non-linear equations, finite difference differentiation and integration, initial value and boundary value ODEs, and PDEs in mathematical ...

Author: S.I. Hayek

Publisher: CRC Press

ISBN: 9781420081985

Category: Mathematics

Page: 866

View: 458

Classroom-tested, Advanced Mathematical Methods in Science and Engineering, Second Edition presents methods of applied mathematics that are particularly suited to address physical problems in science and engineering. Numerous examples illustrate the various methods of solution and answers to the end-of-chapter problems are included at the back of the book. After introducing integration and solution methods of ordinary differential equations (ODEs), the book presents Bessel and Legendre functions as well as the derivation and methods of solution of linear boundary value problems for physical systems in one spatial dimension governed by ODEs. It also covers complex variables, calculus, and integrals; linear partial differential equations (PDEs) in classical physics and engineering; the derivation of integral transforms; Green’s functions for ODEs and PDEs; asymptotic methods for evaluating integrals; and the asymptotic solution of ODEs. New to this edition, the final chapter offers an extensive treatment of numerical methods for solving non-linear equations, finite difference differentiation and integration, initial value and boundary value ODEs, and PDEs in mathematical physics. Chapters that cover boundary value problems and PDEs contain derivations of the governing differential equations in many fields of applied physics and engineering, such as wave mechanics, acoustics, heat flow in solids, diffusion of liquids and gases, and fluid flow. An update of a bestseller, this second edition continues to give students the strong foundation needed to apply mathematical techniques to the physical phenomena encountered in scientific and engineering applications.
Categories: Mathematics