Mathematics & Physics round-up

May 26, 2011

Asymptotic Analysis of Differential Equations

Author: Roscoe White

Edition: Second

Publisher: Imperial College Press

Pages: 432

Price: £74.00 and £36.00

ISBN 9781848166073 and 6080

White offers the practical means of finding asymptotic solutions to differential equations. The construction of integral solutions and the use of analytic continuation are utilised in conjunction with asymptotic analysis to show the interrelatedness of these methods. The emphasis is on the various techniques of analysis: obtaining asymptotic limits; connecting different asymptotic solutions; and obtaining integral representation.

An Introductory Course on Mathematical Game Theory

Authors: Julio González-Díaz, Ignacio Garcia-Jurado and M. Gloria Fiestras-Janeiro

Edition: First

Publisher: American Mathematical Society

Pages: 324

Price: £50.95

ISBN 9780821851517

Stressing the relation between game theory and operations research, the authors aim to present a concise, introductory, self-contained and up-to-date text on game theory for mathematicians, economists and other scientists with a basic mathematical background. The book offers a formal description of the classic game-theoretic concepts together with rigorous proofs of key results in the field, illustrated through a variety of examples, applications and exercises.

Elementary Linear Algebra with Supplemental Applications

Authors: Howard Anton and Chris Rorres

Edition: Tenth international

Publisher: John Wiley & Sons

Pages: 848

Price: £49.99

ISBN 9780470561577

This elementary treatment of linear algebra is intended as a first course for undergraduate students, and seeks to present the fundamentals of linear algebra in the clearest possible way. Calculus is not a prerequisite, but there are clearly labelled exercises and examples (which can be omitted without loss of continuity) for those who have studied it. Although technology is not required, for those who would like to use MATLAB, Maple or Mathematica, or calculators with linear algebra capabilities, exercises are included at the end of each chapter that facilitate further exploration using those tools.

Probability and Statistics: The Science of Uncertainty

Authors: Michael Evans and Jeffrey S. Rosenthal

Edition: Second revised

Publisher: W.H. Freeman

Pages: 638

Price: £41.99

ISBN 9781429224628

This introduction to the subject places its emphasis firmly on the effective use of computer programs and an integrated approach to inference. It aims to offer a well-balanced mix of theory and applications, with examples of real-world data and analysis throughout the text.

A First Course in Differential Equations

Author: J. David Logan

Edition: Second revised

Publisher: Springer

Pages: 386

Price: £53.99

ISBN 9781441975911

Designed for standard second-year courses in differential equations, this text covers the basic ideas, models and solution methods in a format intended to be accessible to engineering, economics and mathematics students. Logan emphasises analytical, graphical and numerical techniques, and provides a strong connection to applications with motivations in mechanics and heat transfer, circuits, biology, economics and chemical reactors. This edition offers a new, elementary chapter on systems of differential equations, both linear and non-linear, which introduces key ideas without matrix analysis.

Elementary Differential Geometry

Author: Christian Bar

Edition: First

Publisher: Cambridge University Press

Pages: 330

Price: £65.00 and £.99

ISBN 9780521896719 and 1721493

Bar's accessibly written and well-illustrated text places its emphasis on geometric results, and aims to avoid formalism as much as possible in harnessing basic mathematical skills in analysis and linear algebra to solve some interesting geometric problems. It includes curve theory, a detailed study of surfaces, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, triangulations and the Gauss-Bonnet theorem.

Introduction to the Theory of Critical Phenomena: Mean Field, Fluctuations and Renormalization

Author: Dimo I. Uzunov

Edition: Second

Publisher: World Scientific

Pages: 550

Price: £88.00 and £48.00

ISBN 9789814299480 and 9497

Uzunov aims to offer a comprehensive introduction to the theory of phase transitions and critical phenomena via a text covering a period of more than 100 years of theoretical research of condensed matter phases and phase transitions. The text begins its exploration from the standpoint of basic undergraduate-level knowledge of thermodynamics, statistical physics and quantum mechanics. This edition presents a more detailed presentation of the renormalisation group method and its applications to particular systems.

Introductory Quantum Physics and Relativity

Authors: Jacob A. Dunningham and Vlatko Vedral

Edition: First

Publisher: Imperial College Press

Pages: 240

Price: £50.00 and £26.00

ISBN 9781848165144 and 5151

Based on lecture courses taught by the authors at the University of Leeds, this text is intended to provide all the necessary material for the study of quantum physics and relativity in the first two years of a typical physics degree course, and complies fully with Institute of Physics guidelines. However, the coverage also includes more up-to-date material, including Bose condensation and global positioning systems.

Laser Physics

Authors: Simon Hooker and Colin Webb

Edition: First

Publisher: Oxford University Press

Pages: 608

Price: £90.00 and £45.00

ISBN 9780198506911 and 6928

Set at a level suitable for fourth-year undergraduate courses or introductory graduate courses in physics, chemistry and engineering, this text examines the interaction of radiation and matter and the principles of laser operation. The factors that determine efficiency, wavelength coverage, output power, and beam quality of the different classes of laser are treated, in terms of both fundamental theory and practical construction aspects, and the latest advances in high-power fibre lasers, femtosecond lasers and X-ray lasers are explained.

Geometry and Symmetry

Authors: L. Christine Kinsey, Teresa E. Moore and Efstratios Prassidis

Edition: First

Publisher: John Wiley & Sons

Pages: 460

Price: £39.99

ISBN 9780470499498

This text seeks to encourage an appreciation of geometry and its importance in the history and development of mathematics via Euclidean geometry, non-Euclidean geometry and symmetry. Exercises enable readers to explore geometry and draw on the functionality of geometric software.

Fundamental Maths: For Engineering and Science

Author: Mark Breach

Edition: First

Publisher: Palgrave Macmillan

Pages: 392

Price: £25.99

ISBN 9780230252080

Breach's text is accessible and concise. It is aimed at those who are starting higher or further education courses and need to revisit and develop the maths they learned at school, and gain confidence. The text explains the maths through words and examples, as well as sums, in an effort to address and overcome past anxieties about gaps in students' knowledge.

The Light Fantastic: A Modern Introduction to Classical and Quantum Optics

Author: Ian Kenyon

Edition: Second revised

Publisher: Oxford University Press

Pages: 736

Price: £70.00 and £35.00

ISBN 9780199584611 and 4604

Suitable for advanced undergraduates, this book builds up understanding via self-contained themes including: paraxial ray optics; interference, coherence and interferometry; diffraction, spectrometry and Gaussian optics; Fourier optics, holography and information processing; and astronomical telescopes, adaptive optics and aperture synthesis. This edition also covers photonic crystals, Bloch waves, quantum dots and microcavities.

An Illustrated Guide to Relativity

Author: Tatsu Takeuchi

Edition: First

Publisher: Cambridge University Press

Pages: 266

Price: £45.00 and £16.99

ISBN 9780521763943 and 521141000

A pictorial explanation of Einstein's special theory of relativity for physics and non-science students. Diagrams guide the reader from the basics of relativity to advanced topics including the addition of velocities, Lorentz contraction, time dilation, and the Doppler shift. The book offers problems to test readers' understanding of the materials covered.

A Student's Guide to Fourier Transforms with Applications in Physics and Engineering

Author: J.F. James

Edition: Third

Publisher: Cambridge University Press

Pages: 160

Price: £19.99

ISBN 9780521176835

James' text is aimed at students in physics, electrical and electronic engineering, and computer science. A brief description of the basic ideas and theorems leads on to an exploration of the power of the technique via applications in optics, spectroscopy, electronics and telecommunications. New material includes convolution with a sinusoid, coherence and the Michelson stellar interferometer.

Optical Physics

Authors: Ariel Lipson, Stephen G. Lipson and Henry Lipson

Edition: Fourth revised

Publisher: Cambridge University Press

Pages: 590

Price: £35.00

ISBN 9780521493451

This perennial best-seller is suitable for undergraduate and advanced courses in modern optics ranging from fundamental ideas to the most modern developments in optics. The fourth edition has 400 illustrations and contains practical examples, many of which come from student laboratory experiments and lecture demonstrations. It covers the principles of geometrical and physical optics, leading into quantum optics, using mainly Fourier transforms and linear algebra.

Foundation Mathematics for the Physical Sciences

Authors: K.F. Riley and M.P. Hobson

Edition: First

Publisher: Cambridge University Press

Pages: 736

Price: £35.00

ISBN 97805211936

Presented in tutorial style, this text develops the mathematical tools needed by first- and second-year undergraduates to solve problems in the physical sciences. It includes more than 0 worked examples, 170 self-test questions and 450 end-of-chapter problems.

Fluid Mechanics: A Short Course for Physicists

Author: Gregory Falkovich

Edition: First

Publisher: Cambridge University Press

Pages: 180

Price: £35.00

ISBN 9781107005754

Using real-world examples from hydraulic jumps in a kitchen sink to Kelvin-Helmholtz instabilities in clouds, the book shows how methods developed to study the mechanics of fluids are used to analyse other systems in statistical physics and field theory.

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