Hardback (ISBN-13: 9780521898942)
This book represents a new departure in science studies: an analysis of a scientific style of writing, situating it within the context of the contemporary style of literature. Its philosophical significance is that it provides a novel way of making sense of the notion of a scientific style. For the first time, the Hellenistic mathematical corpus - one of the most substantial extant for the period - is placed centre-stage in the discussion of Hellenistic culture as a whole. Professor Netz argues that Hellenistic mathematical writings adopt a narrative strategy based on surprise, a compositional form based on a mosaic of apparently unrelated elements, and a carnivalesque profusion of detail. He further investigates how such stylistic preferences derive from, and throw light on, the style of Hellenistic poetry. This important book will be welcomed by all scholars of Hellenistic civilization as well as historians of ancient science and Western mathematics.
* First book to understand scientific writing in a literary context * First
book to introduce the mathematical corpus into discussions of Hellenistic
culture * Offers a new understanding of the development of Greek mathematics
Preface; Introduction; 1. The carnival of calculation; 2. The telling of mathematics; 3. Hybrids and mosaics; 4. The poetic interface; Conclusions and qualifications.
Hardback (ISBN-13: 9780521830546)
This book presents a theoretical treatment of nonlinear behaviour of solids and structures in such a way that it is suitable for numerical computation, typically using the Finite Element Method. Starting out from elementary concepts, the author systematically uses the principle of virtual work, initially illustrated by truss structures, to give a self-contained and rigorous account of the basic methods. The author illustrates the combination of translations and rotations by finite deformation beam theories in absolute and co-rotation format, and describes the deformation of a three-dimensional continuum in material form. A concise introduction to finite elasticity is followed by an extension to elasto-plastic materials via internal variables and the maximum dissipation principle. Finally, the author presents numerical techniques for solution of the nonlinear global equations and summarises recent results on momentum and energy conserving integration of time-dependent problems. Exercises, examples and algorithms are included throughout.
* A theoretical treatment of nonlinear behaviour of solids and structure
* Starts out from elementary concepts to give a clear account of the basic
methods * Includes exercises, examples and algorithms throughout
Preface; 1. Introduction; 2. Non-linear bar elements; 3. Finite rotations; 4. Finite rotation beam theory; 5. Co-rotating beam elements; 6. Deformation and equilibrium of solids; 7. Elasto-plastic solids; 8. Numerical solution techniques; 9. Dynamic effects and time integration; References; Index.
Paperback (ISBN-13: 9780521110679)
J. Frank Adams was one of the world's leading topologists. He solved a
number of celebrated problems in algebraic topology, a subject in which
he initiated many of the most active areas of research. He wrote a large
number of papers during the period 1955*1988, and they are characterised
by elegant writing and depth of thought. Few of them have been superseded
by later work. This selection, in two volumes, brings together all his
major research contributions. They are organised by subject matter rather
than in strict chronological order. The first contains papers on: the cobar
construction, the Adams spectral sequence, higher-order cohomology operations,
and the Hopf invariant one problem; applications of K-theory; generalised
homology and cohomology theories. The second volume is mainly concerned
with Adams’ contributions to: characteristic classes and calculations
in K-theory; modules over the Steenrod algebra and their Ext groups; finite
H-spaces and compact Lie groups; maps between classifying spaces of compact
groups. Every serious student or practitioner of algebraic topology will
want to own a copy of these two volumes both as a historical record and
as a source of continued reference.
* Includes Adams’s finest papers * Papers are reproduced exactly from
the originals - i.e. unabridged
1. On the chain algebra of a loop space; 2. On the cobar construction;
3. The structure of the Steenrod algebra; 4. On the non-existence theory
of elements of Hopf invariant one; 4. Applications of the Groethendieck*Atiyah*Hirzebruch
functor K(X); 5. Vector fields on spheres; 6. On complex Stiefel manifolds;
7. On matrices whose real linear combinations are non-singular and correction;
8. On the groups J(X) I, II, III, and IV and correction; 9. K-theory and
the Hopf invariant; 10. Geometric dimension of bundles over RPn; 11. Lectures
on generalised cohomology; 12. Algebraic topology in the last decade
Paperback (ISBN-13: 9780521110686)
J. Frank Adams was one of the world's leading topologists. He solved a
number of celebrated problems in algebraic topology, a subject in which
he initiated many of the most active areas of research. He wrote a large
number of papers during the period 1955*1988, and they are characterised
by elegant writing and depth of thought. Few of them have been superseded
by later work. This selection, in two volumes, brings together all his
major research contributions. They are organised by subject matter rather
than in strict chronological order. The first contains papers on: the cobar
construction, the Adams spectral sequence, higher-order cohomology operations,
and the Hopf invariant one problem; applications of K-theory; generalised
homology and cohomology theories. The second volume is mainly concerned
with Adams’ contributions to: characteristic classes and calculations
in K-theory; modules over the Steenrod algebra and their Ext groups; finite
H-spaces and compact Lie groups; maps between classifying spaces of compact
groups. Every serious student or practitioner of algebraic topology will
want to own a copy of these two volumes both as a historical record and
as a source of continued reference.
* Includes Adams’s finest papers * Papers are reproduced exactly from
the originals - i.e. unabridged
1. On formulae of Thom and Wu; 2. On Chern characters and the structure
of the unitary group; 3. Chern characters revisited and the structure of
the unitary group; 4. Chern characters revisited and addendum; 5. The Hurewicz
homomorphism for MU and BP; 6. Hopf algebras of co-operators for real and
complex K-theory; 7. Operations of the Nth kind in K-theory; 8. Operations
on K-theory of torsion-free spaces; 9. Stable operations on complex K-theory;
10. Primitive elements in the K-theory of BSU; 11. A finiteness theorem
in homological algebra; 12. A periodicity theorem in homological algebra;
13. Modules over the Steenrod algebra; 14. Sub-Hopf-algebras of the Steenrod
algebra; 15. What we don’t know about RP∞; 16. Calculations of Lin’s
Ext groups; 17. The Segal conjecture for elementary abelian p-groups; 18.
The sphere considered as an H-space mod p; 19. H-spaces with few cells;
20. Finite H-spaces and Lie groups; 21. Spin(8) triality, F4 and all that;
22. The fundamental representations of E8; 23. 2-tori in E8; Maps between
classifying spaces I, II, and III; 24. Maps between p-completed classifying
spaces; 25. An example in homotopy theory; 26. A variant of E. H. Brown’s
representability theorem; 27. Idempotent functors in homotopy theory; 28.
The Kahn*Priddy theorem; 29. Uniquenesss of BSO; 30. Graeme Segal’s Burnsides
ring conjecture; 31. A generalisation of the Segal conjecture; 32. A generalisation
of the Atiyah*Segal completion theorem; 33. Atomic spaces and spectra;
34. Two theorems of J. Lannes; 35. The work of M. J. Hopkins.
Paperback (ISBN-13: 9780521743853)
Hardback (ISBN-13: 9780521112437)
This lively and engaging book explains the things you have to know in order
to read empirical papers in the social and health sciences, as well as
the techniques you need to build statistical models of your own. The discussion
in the book is organized around published studies, as are many of the exercises.
Relevant journal articles are reprinted at the back of the book. Freedman
makes a thorough appraisal of the statistical methods in these papers and
in a variety of other examples. He illustrates the principles of modelling,
and the pitfalls. The discussion shows you how to think about the critical
issues * including the connection (or lack of it) between the statistical
models and the real phenomena. The book is written for advanced undergraduates
and beginning graduate students in statistics, as well as students and
professionals in the social and health sciences.
* Authoritative guide by a well-known author with wide experience in teaching,
research, and consulting * Careful analysis of statistical issues in substantive
applications * New edition includes many new exercises and examples, and
the author has reorganised, restructured and revised chapters to aid teaching
and understanding
1. Observational studies and experiments; 2. The regression line; 3. Matrix algebra; 4. Multiple regression; 5. Multiple regression: special topics; 6. Path models; 7. Maximum likelihood; 8. The bootstrap; 9. Simultaneous equations; 10. Issues in statistical modeling.
Hardback (ISBN-13: 9780521887052)
Clarity, readability and rigor combine in the second edition of this widely-used textbook to provide the first step into general relativity for undergraduate students with a minimal background in mathematics. Topics within relativity that fascinate astrophysical researchers and students alike are covered with Schutz’s characteristic ease and authority - from black holes to gravitational lenses, from pulsars to the study of the Universe as a whole. This edition now contains discoveries by astronomers that require general relativity for their explanation; a revised chapter on relativistic stars, including new information on pulsars; an entirely rewritten chapter on cosmology; and an extended, comprehensive treatment of modern detectors and expected sources. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, whilst the informal writing style makes the subject matter easily accessible. Password protected solutions for instructors are available at www.cambridge.org/9780521887052.
* Provides the first step into general relativity for undergraduate students
with a minimal background in mathematics * Over 300 exercises, many new
to this edition, with password protected solutions available at www.cambridge.org/9780521887052
* New material includes recent discoveries by astronomers as well as updates
on what is currently known about pulsars, modern detectors of gravitational
waves, black holes, acceleration of the universe and more
Preface; 1. Fundamental principles of special relativity; 2. Vector analysis in special relativity; 3. Tensor analysis in special relativity; 4. Perfect fluids in special relativity; 5. Preface to curvature; 6. Curved manifolds; 7. Physics in a curved spacetime; 8. The Einstein field equations; 9. Gravitational radiation; 10. Spherical solutions for stars; 11. Schwarzschild geometry and black holes; 12. Cosmology; References; Index.