John Townend
Practical Statistics for Environmental and Biological Scientists
ISBN: 0-471-49664-2 Cloth
ISBN: 0-471-49665-0 Paper
286 Pages
March 2002
Table of Contents Features
Practical Statistics for Environmental and Biological Scientists is a concise, user-friendly, non-technical introduction to statistics. Starting from basics, this book carefully introduces those statistical methods and techniques that all students and researchers need to know.
Written in an accessible style, the book divides into two parts. The first part covers statistical principles, how to plan and design experiments and surveys, and the presentation of data. The second part introduces a range of statistical tests and methods commonly used in environmental and biological sciences. The limitations and assumptions of each statistical method are clearly described along with numerous relevant examples for the applications of the techniques.
Practical Statistics for Environmental and Biological Scientists:
Is an accessible introduction to key statistical techniques used in the environmental and biological sciences.
Includes relevant examples throughout the text with references for further reading.
Illustrates concepts and methods and the presentation of data through numerous tables and figures.
Provides an appendix describing how many of the tests can be carried out using Excel and Minitab
Written for undergraduate students studying within the environmental and biological sciences. Researchers and professionals will also find this an invaluable reference.
Miklos Laczkovich
Conjecture and Proof
Description
The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to American and Canadian students. This book is an elaborate version of the course on ‘Conjecture and Proof’. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of e, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader.
Chapter Contents
Part I. Proofs of Impossibility, Proofs of Nonexistence: 1. Proofs of irrationality; 2. The elements of the theory of geometric constructions; 3. Constructible regular polygons; 4. Some basic facts on linear spaces and fields; 5. Algebraic and transcendental numbers; 6. Cauchy’s functional equation; 7. Geometric decompositions; Part II. Constructions, Proofs of Existence: 8. The pigeonhole principle; 9. Liouville numbers; 10. Countable and uncountable sets; 11. Isometries of Rn; 12. The problem of invariant measures; 13. The Banach-Tarski paradox; 14. Open and closed sets in R. The Cantor set; 15. The Peano curve; 16. Borel sets; 17. The diagonal method.
ISBN: 0-88385-722-7
Binding: Paperback
Size: 229 x 153 mm
Pages: 128
Weight: 0.181kg
Figures: 40 figures
Published: 21 March 2002
Ivars Peterson
Mathematical Treks
From Surreal Numbers to Magic Circles
Description
Science News publishes a weekly column devoted to ‘cool stuff’ from the world of mathematics. There have been over 250 articles under the title ‘Ivars Peterson’s Math Treks’. New developments and their applications, old puzzles revisited, famous problems and historic events have all featured. This column has been extremely popular for it’s brief, informal forays into some of the more unusal aspects of mathematics. Ivars Peterson has enhanced and updated a selection of articles for this book and further bibliographic details and web links are available online. The contents span a wide range of topics and there will be something here for anyone with an interest in mathematics.
Chapter Contents
1. Calculation and the chess master; 2. The cow in the classroom; 3. A passion for Pi; 4. Computing in the surreal realm; 5. Pythagoras plays ball; 6. Recycling topology; 7. Soap films and grid walks; 8. Mating games and lizards; 9. Random bits; 10. Spreading rumors; 11. Towards a fairer expansion draft; 12. Cracking the ball-control myth; 13. Math and a music education; 14. Sprouts; 15. Groups. graphs and Paul Erdos; 16. DNA adds up; 17. Computing with the EDSAC; 18. Waring experiments; 19. Old and new arithmetic; 20. Matchsticks in the summer.
ISBN: 0-88385-537-2
Binding: Paperback
Size: 229 x 153 mm
Pages: 182
Weight: 0.254kg
Figures: 75 line diagrams
Published: 14 March 2002
Edited by
B. Hasselblatt, Tufts University, Department of Mathematics, Medford, MA 0215-5597, USA
A. Katok, The Pennsylvania State University, Dept. of Math. Univ. Park, PA 16802-6401, USA
Handbook of Dynamical Systems, Volume 1A
Description
Volumes 1A and 1B.
These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys.
The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics.
Volume 1B will appear end 2002/early 2003.
Audience
Mathematicians, scientists and other professionals interested in the theory of dynamical systems. Research centers (technical, economics, financial).
Contents
Volume 1A.
Principal structures (Hasselblatt, Katok).
Entropy, Isomorphism and Equivalence (Thouvenot).
Hyperbolic dynamics (Hasselblatt).
Invariant measures for hyperbolic dynamical systems (Chernov).
Periodic orbits and zeta functions (Pollicott).
Hyperbolic dynamics and Riemannian geometry (Knieper).
Topological Methods in Dynamics (Franks, Misiurewicz).
One-Dimensional Maps (Jakobson, Swiatek).
Ergodic theory and dynamics of G-spaces (Feres, Katok).
Symbolic and algebraic dynamical systems (Lind, Schmidt).
Homogeneous flows, applications to number theory, and related topics (Kleinbock, Shah, Starkov).
Random transformations in ergodic theory (Furman).
Rational billiards and flat structures (Masur, Tabachnikov).
Variational methods for Hamiltonian systems (Rabinowitz).
Pseudoholomorphic curves and dynamics in three dimensions (Hofer, Wysocki, Zehnder).
Year 2002
Hardbound
ISBN: 0-444-82669-6
Edited by
B. Fiedler, Freie Universitat Berlin, Institut fur Mathematik I, Berlin, Germany
Email: bernard_f@web.de
Handbook of Dynamical Systems: Volume 2
Description
This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers.
The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others.
While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to name just a few, are ubiquitous dynamical concepts throughout the articles.
Audience
Departments of physics, chemistry, engineering, biology, mathematics and applied mathematics.
Contents
A. Finite-Dimensional Methods
1. Mechanisms of phase-locking and frequency control in pairs of coupled neural oscillators (N. Kopell, G.B. Ermentrout). 2. Invariant manifolds and Lagrangian dynamics in the ocean and atmosphere (C. Jones, S. Winkler). 3. Geometric singular perturbation analysis of neuronal dynamics (J.E. Rubin, D. Terman).
B. Numerics
4. Numerical continuation, and computation of normal forms (W.-J. Beyn, A. Champneys, E. Doedel, W. Govaerts,Y.A. Kuznetsov, B. Sandstede). 5. Set oriented numerical methods for dynamical systems (M. Dellnitz, O. Junge). 6. Numerics and exponential smallness (V. Gelfreich). 7. Shadowability of chaotic dynamical systems (C. Grebogi, L. Poon, T. Sauer, J.A. Yorke, D. Auerbach). 8. Numerical analysis of dynamical systems (J. Guckenheimer).
C. Topological Methods
9. Conley index (K. Mischaikow, M. Mrozek). 10. Functional differential equations (R.D. Nussbaum).
D. Partial Differential Equations
11. Navier--Stokes equations and dynamical systems (C. Bardos, B. Nicolaenko). 12. The nonlinear Schrodinger equation as both a PDE and a dynamical system (D. Cai, D.W. McLaughlin, K.T.R. McLaughlin). 13. Pattern formation in gradient systems (P.C. Fife). 14. Blow-up in nonlinear heat equations from the dynamical systems point of view (M. Fila, H. Matano). 15. The Ginzburg--Landau equation in its role as a modulation equation (A. Mielke). 16. Parabolic equations: asymptotic behavior and dynamics on invariant manifolds (P. Polacik). 17.Global attractors in partial differential equations (G. Raugel). 18. Stability of travelling waves (B. Sandstede).
Year 2002
Hardbound
ISBN: 0-444-50168-1
1100 pages