Maths and physics round-up 2

November 27, 2008

Introductory Statistics with R

Author: Peter Dalgaard

Edition: Second

Publisher: Springer

Pages: 364

Price: £35.99

ISBN 9780387790534

This book provides an elementary-level introduction to R, an open-source implementation of the S language. It targets both non-statistician scientists in various fields and students of statistics. The main mode of presentation is via code examples with liberal commenting of the code and the output, from the computational as well as the statistical viewpoint.

Introduction to the Practice of Statistics

Authors: D. Moore, G. McCabe and B. Craig

Edition: Sixth

Publisher: W.H. Freeman and Company

Pages: 709

Price: £44.99

ISBN 97814292162

With its focus on data analysis, statistical reasoning and the way statisticians actually work, Introduction to the Practice of Statistics is freed from an overload of computations so that students are able to go beyond the raw numbers to see what the data actually mean.

The Practice of Business Statistics

Authors: D. Moore, G. McCabe, W. Duckworth and L. Alwan

Edition: Second

Publisher: W. H. Freeman and Company

Pages: 859

Price: 45.99

ISBN 9781429221504

This text involves students in practical statistics-supported business decision-making from the outset. Using real data to provide a context for tackling modern business problems, the text introduces a range of core ideas early - including data production and interpretation. The usefulness of statistical concepts in contemporary business, the connections between probability and inference, and the relationship between data and decisions are emphasised.

Statistics for the Behavioral Sciences

Authors: S. Nolan and T. Heinzen

Edition: First

Publisher: Worth

Pages: 736

Price: £39.99

ISBN 9780716750079

Statistics for the Behavioral Sciences conveys the social power and the personal benefits of statistical reasoning while faithfully teaching its underlying mathematical principles. Chapter-specific narratives let students encode and retain their learning through associative memory hooks that all carry the same message: statistics has a success story to tell.

Ecological Models and Data in R

Author: Benjamin M. Bolker

Edition: First

Publisher: Princeton University Press

Pages: 408

Price: £32.95

ISBN 9780691125220

This is a practical introduction to modern statistical methods for ecology. In step-by-step detail, the book teaches ecology graduate students and researchers everything they need to know to use maximum likelihood, information-theoretic and Bayesian techniques to analyse their data using the programming language R.

The Practice of Statistics in the Life Sciences

Authors: B. Baldi and D. Moore

Edition: First

Publisher: W.H. Freeman and Company

Pages: 761

Price: 41.99

ISBN 9781429218764

Providing an introduction to the uses and applications of statistics in the life sciences with a data-analysis approach, the authors emphasise balanced content, using real data to help master statistical ideas. Data sets, examples and exercises are drawn from diverse areas of biology such as physiology, brain and behaviour, health and medicine, nutrition, ecology and microbiology.

Online extras:

Mathematics and Democracy: Designing Better Voting and Fair-Division Procedures

Author S. J. Brams

Edition First

Publisher University Presses of California, Columbia & Princeton Ltd

Pages 390

Price £16.95

ISBN 9780691133218

This book shows how social-choice and game theory could make political and social institutions more democratic by using mathematical analysis and developing new procedures. One of the procedures proposed is “approval voting”, which allows voters to vote for as many candidates as they like or consider acceptable. There is no ranking, and the candidate with the most votes wins.

STRATEGY: AN INTRODUCTION TO GAME THEORY

Author Joel Watson

Edition Second

Publisher W.W. Norton & Company Ltd

Pages 300

Price £38.99

ISBN 9780393929348

Aimed towards advanced students in game theory, Strategy is rigorous and sophisticated in its approach. However the author presents material according to a minimalist philosophy, working with the simplest possible models and only developing theory to the extent that it can be useful for examples and applications.

An Introduction to Mathematical Cryptography

Author Jeffrey Hoffstein, Jill Pipher, and J.H. Silverman

Edition First

Publisher Springer

Pages 524

Price £26.50

ISBN 9780387779935

This introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems.

How Round Is Your Circle?: Where Engineering and Mathematics Meet

Author John Bryant & Chris Sangwin

Edition First

Publisher Princeton University Press

Pages 352

Price £17.95

ISBN 9780691131184

An Introduction to the Mathematical Structure of Quantum Mechanics: A Short Course for Mathematicians

Author F. Strocchi

Edition Second

Publisher World Scientific Publishing and Imperial College Press

Pages 200

Price £26.00

ISBN 9789812835222

This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. The mathematical structure of QM is formulated in terms of the C*-algebra of observables, which is argued on the basis of the operational definition of measurements and the duality between states and observables, for a general physical system.

The Chemistry Maths Book

Author Erich Steiner

Edition Second

Publisher Oxford University Press

Pages 680

Price £28.99

ISBN 978-0-19-920535-6

Topics are organized into three parts: algebra, calculus, differential equations, and expansions in series; vectors, determinants and matrices; and numerical analysis and statistics. The extensive use of examples illustrates every important concept and method in the text, and are used to demonstrate applications of the mathematics in chemistry and several basic concepts in physics.

Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences

Author Dominic Jordan, Peter Smith

Edition Fourth

Publisher Oxford University Press

Pages 1008

Price £31.99

ISBN 9780199282012

Mathematical Techniques provides a complete course in mathematics, covering all the topics with which a physical sciences or engineering student should be familiar. It includes topics such as conic sections, complex numbers, linear dependence, nonlinear differential equations, stationary values, infinite integrals, vector calculus, and difference equations.

Feedback Systems: An Introduction for Scientists and Engineers

Author Karl Johan Åström & Richard M. Murray

Edition First

Publisher Princeton University Press

Pages 424

Price £26.95

ISBN 9780691135762

This book provides an introduction to the mathematics needed to model, analyze, and design feedback systems. It develops transfer functions through the exponential response of a system, and is accessible across a range of disciplines that utilize feedback in physical, biological, information, and economic systems.

The Geometry and Topology of Coxeter Groups

Author Davis

Edition First

Publisher University Presses of California, Columbia & Princeton Ltd

Pages 600

Price £50.00

ISBN 9780691131382

The Geometry and Topology of Coxeter Groups is a treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are examples of reflection groups in spherical, Euclidean and hyperbolic geometry.

Euclidean and Non-Euclidean Geometries

Author M. Greenberg

Edition Fourth

Publisher W. H. Freeman and Company

Pages 500

Price 58.99

ISBN 9780716799481

Covering the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, the first eight chapters are mostly accessible to any educated reader; the last two chapters and the two appendices contain more advanced material, such as the classification of motions and an introduction to Riemannian geometry.

Algebraic Curves over a Finite Field

Author J.W.P. Hirschfeld, G. Korchmáros & F. Torres

Edition First

Publisher Princeton University Press

Pages 716

Price £50.00

ISBN 9780691096797

The authors provide an introduction to the theory of algebraic curves over a finite field, a subject that has applications in areas such as finite geometry and cryptology. The geometrical theory of linear series is used to find estimates for the number of rational points on a curve, zeta functions are explained, and then attention turns to more advanced results.

Hecke's Theory of Modular Forms and Dirichlet Series

Author Bruce C. Berndt

Edition First

Publisher World Scientific Publishing and Imperial College Press

Pages 152

Price £26.00

ISBN 97898106355

In 1938, at the Institute for Advanced Study, Erich Hecke gave a series of lectures on his theory of correspondence between modular forms and Dirichlet series. Since then, the Hecke correspondence has remained an active feature of number theory and it is more important today than it was in 1936.

A Mathematical Bridge: An Intuitive Journey in Higher Mathematics

Author Stephen Hewson

Edition Second

Publisher World Scientific Publishing and Imperial College Press

Pages 660

Price £31.00

ISBN 9789812834089

Higher mathematics can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. This book focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does.

Connections: An Introduction to the Economics of Networks

Author Sanjeev Goyal

Edition First

Publisher University Presses of California, Columbia & Princeton Ltd

Pages 302

Price £29.95

ISBN 9780691126500

This book provides an account of the antecedents and consequences of networks. It applies a multidisciplinary lens and considers both economic and sociological accounts of some of the dynamics he has studied.

The Calculus Gallery: Masterpieces from Newton to Lebesgue

Author William Dunham

Edition First

Publisher University Presses of California, Columbia & Princeton Ltd

Pages 256

Price £11.95

ISBN 9780691136264

Dunham charts the growth and development of calculus by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late 17th century and continuing to Henri Lebesgue at the dawn of the 20th century.

Fearless Symmetry: Exposing the Hidden Patterns of Numbers

Author Avner Ash

Edition First

Publisher University Presses of California, Columbia & Princeton Ltd

Pages 312

Price £11.50

ISBN 978-0-691-13871-8

This book focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory.

Social and Economic Networks

Author Matthew O. Jackson

Edition First

Publisher University Presses of California, Columbia & Princeton Ltd

Pages 520

Price £38.95

ISBN 9780691134406

Networks of relationships help determine the careers that people choose, the jobs they obtain, the products they buy, and how they vote. This book offers a comprehensive introduction to social and economic networks, drawing on the latest findings in economics, sociology, computer science, physics and mathematics.

The Hypoelliptic Laplacian and Ray-Singer Metrics

Author Jean-Michel Bismut & Gilles Lebeau

Edition First

Publisher University Presses of California, Columbia & Princeton Ltd

Pages 376

Price £26.95

ISBN 9780691137322

This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow.

The Princeton Companion to Mathematics

Editor Timothy Gowers

Edition First

Publisher University Presses of California, Columbia & Princeton Ltd

Pages 1008

Price £60.00

ISBN 9780691118802

This book presents nearly two hundred entries that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians and explore the impact of mathematics on other disciplines.

Lectures on White Noise Functionals

Author T Hida

Edition First

Publisher World Scientific Publishing and Imperial College Press

Pages 280

Price £49

ISBN 9789812560520

White noise analysis is an advanced stochastic calculus that has two main characteristics. One is the notion of generalized white noise functionals, the introduction of which is oriented by the line of advanced analysis and the other is that the white noise analysis has an aspect of infinite dimensional harmonic analysis arising from the infinite dimensional rotation group.

Analytic Solutions of Functional Equations

Author Sui Sun Cheng, Wenrong Li

Edition First

Publisher World Scientific Publishing and Imperial College Press

Pages 296

Price £45.00

ISBN 97898193348

This book presents a self-contained and unified introduction to the properties of analytic functions. Based on recent research results, it provides many examples of functional equations to show how analytic solutions can be found. Analytic functions are treated here as those generated by sequences with positive radii of convergence.

Problems and Solutions in Real Analysis

Author Masayoshi Hata

Edition First

Publisher World Scientific Publishing and Imperial College Press

Pages 304

Price £25.00

ISBN 97898179496

Providing a collection of more than 200 mathematical problems and their detailed solutions, which contain very useful tips and skills in real analysis, each chapter has an introduction, in which some fundamental definitions and propositions are prepared. Problems and Solutions in Real Analysis may be used as advanced exercises by undergraduate students during or after courses in calculus and linear algebra.

Topics on Stability and Periodicity in Abstract Differential Equations

Author James H Liu, Gaston M N'Guérékata, Nguyen Van Minh

Edition First

Publisher World Scientific Publishing and Imperial College Press

Pages 220

Price £44.00

ISBN 9789812818232

This book presents recent methods of study on the asymptotic behaviour of solutions of abstract differential equations such as stability, exponential dichotomy, periodicity, almost periodicity, and almost automorphy of solutions. The chosen methods are described in a way that is suitable to those who have some experience with ordinary differential equations.

Differential-Algebraic Systems: Analytical Aspects and Circuit Application

Author Ricardo Riaza

Edition First

Publisher World Scientific Publishing and Imperial College Press

Pages 344

Price £45.00

ISBN 97898191801

Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory.

Semi-Classical Analysis for Nonlinear Schrödinger Equations

Author Rémi Carles

Edition First

Publisher World Scientific Publishing and Imperial College Press

Pages 256

Price £37.00

ISBN 97898193126

These lecture notes review recent results on the high-frequency analysis of nonlinear Schrödinger equations in the presence of an external potential. The book consists of two relatively independent parts: WKB analysis and caustic crossing.

Physics

Galactic Dynamics

Author James Binney & Scott Tremaine

Edition Second

Publisher Princeton University Press

Pages 920

Price £65.00 and £35.00

ISBN 9780691130262 and 97806911309

Since it was first published in 1987, Galactic Dynamics has become one of the most cited references in astrophysics. Now this book describes the dramatic recent advances in this subject, many new topics are covered, including N-body simulation methods, black holes in stellar systems, linear stability and response theory, and galaxy formation in the cosmological context.

Let there be light: the story of light from atoms to galaxies

Author Alex Montwill, Ann Breslin

Edition First

Publisher World Scientific Publishing and Imperial College Press

Pages 600

Price £23.00

ISBN 9781848163287

This book covers the key role played by light and electromagnetic radiation in the universe. Readers are introduced to philosophical hypotheses such as the economy, symmetry, and universality of natural laws, and are then guided to practical consequences such as the rules of geometrical optics and even Einstein's well-known but mysterious relationship, E = mc2.

Fundamental Astronomy

Author Hannu Karttunen, Pekka Kroger, Heikki Oja, Markku Poutanen, Karl Johan Donner

Edition Fifth

Publisher Springer

Pages 510

Price £46.00

ISBN 9783540341437

Fundamental Astronomy is a comprehensive introduction to classical and modern astronomy. It covers the whole field of modern astronomy in a clear and concise way. It emphasises both the astronomical concepts and the underlying physical principles, and the text provides a sound basis for more profound studies in the astronomical sciences.

Extrasolar Planets and Astrobiology

Author Caleb A. Scharf

Edition First

Publisher University Science Books

Pages 400

Price £44.99

ISBN 9781891389559

This book offers an advanced introduction to the fields of extrasolar planets and astrobiology. It applies an advanced level of mathematics and physics, while also providing an extensive grounding in key issues of chemistry, biology and geophysics.

Classical Mechanics and Relativity

Author Harald J W Müller-Kirsten

Edition First

Publisher World Scientific Publishing and Imperial College Press

Pages 576

Price £37.00

ISBN 9789812832528

This text provides a pedagogical tour through mechanics from Newton to Einstein with detailed explanations and a large number of worked examples. From the very beginning relativity is kept in mind, along with its relation to concepts of basic mechanics, such as inertia, escape velocity, Newton’s potential, Kepler motion and curvature.

Special Relativity for Beginners: A Textbook for Undergraduates

Author Jürgen Freund

Edition First

Publisher World Scientific Publishing and Imperial College Press

Pages 332

Price £25.00

ISBN 97898171605

Freund offers access to the special theory of relativity. Some crucial results are derived more than once with different approaches: the Lorentz transformation in one spatial direction three times, the Doppler formula four times, the Lorentz transformation in two directions twice; also twice the unification of electric and magnetic forces, the velocity addition formula, as well as the aberration formula.

Particle or Wave: The Evolution of the Concept of Matter in Modern Physics

Author Charis Anastopoulos

Edition First

Publisher University Presses of California, Columbia & Princeton Ltd

Pages 432

Price £19.95

ISBN 9780691135120

Anastpolous explains the origins and development of modern physical concepts about matter and the controversies surrounding them. The dichotomy between particle and wave reflects a dispute over whether the universe's most elementary building blocks are discrete or continuous in nature. Two of the earliest-known theories about matter are discussed before continuing up through the ages to modern physics.

Statistical Mechanics Made Simple

Author Daniel C. Mattis, Robert Swendsen

Edition Second

Publisher World Scientific Publishing and Imperial College Press

Pages 360

Price £25.00

ISBN 97898179090

This book illustrates through myriad examples the principles and logic used in extending the simple laws of idealized Newtonian physics and quantum physics into the real world of noise and thermal fluctuations.

Equilibrium and non-equilibrium statistical mechanics

Author Carolyne M Van Vliet

Edition First

Publisher World Scientific Publishing and Imperial College Press

Pages 988

Price £42.00

ISBN 97898104788

Encompassing our current understanding of the ensemble approach to many-body physics, phase transitions and other thermal phenomena, as well as the quantum foundations of linear response theory, kinetic equations and stochastic processes, the historical methods of J. Willard Gibbs and Ludwig Boltzmann, applied to the quantum description rather than phase space, are featured.

A Survey of Computational Physics: Introductory Computational Science

Author Rubin H. Landau, Manuel José Páez & Cristian C. Bordeianu

Edition First

Publisher Princeton University Press

Pages £44.95

ISBN 9780691131375

Including new discussions of visualisation tools, wavelet analysis, molecular dynamics, and computational fluid dynamics, and treating science, applied mathematics, and computer science together, the book reveals how this knowledge base can be applied to a range of real-world problems.

Nonlinear Dynamical Systems and Control: A Lyapunov-Based Approach

Author Wassim M. Haddad and Vijay Sekhar Chellaboina

Edition First

Publisher Princeton University Press

Pages 976

Price £50.00

ISBN 9780691133294

Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is given.

Photonic Crystals: Molding the Flow of Light

Author John D. Joannopoulos, Steven G. Johnson, Joshua N. Winn and Robert D. Meade

Edition Second

Publisher Princeton University Press

Pages 304

Price £44.95

ISBN 9780691124568

Starting from Maxwell's equations and Fourier analysis, the authors develop the theoretical tools of photonics using principles of linear algebra and symmetry before investigating the unique phenomena that take place within photonic crystals at defect sites and surfaces, from one to three dimensions.

Quantum Hall Effects: Field Theoretical Approach and Related Topics

Author Zyun Francis Ezawa

Edition Second

Publisher World Scientific Publishing and Imperial College Press

Pages 532

Price £62.00

ISBN 97898100322

Theoretical and experimental developments have recently been made in the sphere of the quantum Hall effect. A pedagogical and self-contained discussion on monolayer and bilayer quantum Hall systems is given in a field-theoretical framework, together with an introduction to quantum field theory, anyon physics and Chern–Simons gauge theory.

Modern Many-Particle Physics: Atomic Gases, Nanostructures and Quantum Liquids

Author Enrico Lipparini

Edition Second

Publisher World Scientific Publishing and Imperial College Press

Pages 596

Price £32.00

ISBN 97898109325

This book is devoted to the description of Bosonic and Fermionic systems: metallic clusters; quantum dots, wires, rings and molecules; trapped Fermi and Bose atoms; liquid drops of Helium; electron gas in different dimensions and geometries with and without magnetic fields.

Group Theory for Physicists

Author Zhong-Qi Ma

Edition First

Publisher World Scientific Publishing and Imperial College Press

Pages 512

Price £29.00

ISBN 97898171421

This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasised. New materials drawn from the teaching and research experience of the author are included.

An Introduction to the Physics of Particle Accelerators

Author Mario Conte, William W MacKay

Edition Second

Publisher World Scientific Publishing and Imperial College Press

Pages 264

Price £29.00

ISBN 97898179618

This book provides a concise and coherent introduction to the physics of particle accelerators. Phase focusing is fully treated, together with fundamental topics like synchrotron radiation and linear and nonlinear resonances. The final chapter treats both electron and stochastic cooling, thus rounding up the treatment of phase-space shrinkage introduced in the chapter on synchrotron.

Introduction to Modern Physics: Theoretical Foundations

Author John Dirk Walecka

Edition First

Publisher World Scientific Publishing and Imperial College Press

Pages 496

Price £35.00

ISBN 9789812812254

Our understanding of the physical world was revolutionized in the 20th century — the era of “modern physics''. This book presents the foundations and frontiers of today's physics. It focuses on the following topics: quantum mechanics; applications in atomic, nuclear, particle, and condensed-matter physics; special relativity; relativistic quantum mechanics, including the Dirac equation and Feynman diagrams; quantum fields; and general relativity.

Modern Physics

Author P. Tipler; R. Llewellyn

Edition Fifth

Publisher W. H. Freeman and Company

Pages 680

Price £44.99

ISBN 9780716775508

This book has a flexible approach to accommodate the various ways of teaching the course (both one- and two-term tracks are easily covered) and has an explanatory style, up-to-date topical coverage, and Web enhancements. Enhancements include a streamlined approach to nuclear physics, thoroughly revised and updated coverage on particle physics and astrophysics, and a review of the essential classical concepts important to students studying modern physics.

A Survey of Computational Physics: Introductory Computational Science

Author Rubin H. Landau, Manuel Jose Paez and Cristian C. Bordeianu

Edition First

Publisher University Presses of California, Columbia & Princeton Ltd

Pages 656

Price £40.95

ISBN 9780691131375

Computational physics is a rapidly growing subfield of computational science, in large part because computers can solve previously intractable problems or simulate natural processes that do not have analytic solutions. This text presents a broad survey of key topics in computational physics for advanced undergraduates and beginning graduate students, including new discussions of visualization tools, wavelet analysis, molecular dynamics and computational fluid dynamics.

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