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Foundations of Mathematics - Questions of Analysis, Geometry & Algorithmics (Paperback, Softcover reprint of the original 1st... Foundations of Mathematics - Questions of Analysis, Geometry & Algorithmics (Paperback, Softcover reprint of the original 1st ed. 1993)
C.B. Thomas; Erwin Engeler
R1,468 Discovery Miles 14 680 Ships in 10 - 15 working days

This book appeared about ten years ago in Gennan. It started as notes for a course which I gave intermittently at the ETH over a number of years. Following repeated suggestions, this English translation was commissioned by Springer; they were most fortunate in finding translators whose mathemati cal stature, grasp of the language and unselfish dedication to the essentially thankless task of rendering the text comprehensible in a second language, both impresses and shames me. Therefore, my thanks go to Dr. Roberto Minio, now Darmstadt and Professor Charles Thomas, Cambridge. The task of preparing a La'JEX-version of the text was extremely daunting, owing to the complexity and diversity of the symbolisms inherent in the various parts of the book. Here, my warm thanks go to Barbara Aquilino of the Mathematics Department of the ETH, who spent tedious but exacting hours in front of her Olivetti. The present book is not primarily intended to teach logic and axiomat ics as such, nor is it a complete survey of what was once called "elementary mathematics from a higher standpoint." Rather, its goal is to awaken a certain critical attitude in the student and to help give this attitude some solid foun dation. Our mathematics students, having been drilled for years in high-school and college, and having studied the immense edifice of analysis, regrettably come away convinced that they understand the concepts of real numbers, Euclidean space, and algorithm."

Characteristic Classes and the Cohomology of Finite Groups (Paperback): C.B. Thomas Characteristic Classes and the Cohomology of Finite Groups (Paperback)
C.B. Thomas
R1,190 Discovery Miles 11 900 Ships in 12 - 19 working days

The purpose of this book is to study the relation between the representation ring of a finite group and its integral cohomology by means of characteristic classes. In this way it is possible to extend the known calculations and prove some general results for the integral cohomology ring of a group G of prime power order. Among the groups considered are those of p-rank less than 3, extra-special p-groups, symmetric groups and linear groups over finite fields. An important tool is the Riemann - Roch formula which provides a relation between the characteristic classes of an induced representation, the classes of the underlying representation and those of the permutation representation of the infinite symmetric group. Dr Thomas also discusses the implications of his work for some arithmetic groups which will interest algebraic number theorists. Dr Thomas assumes the reader has taken basic courses in algebraic topology, group theory and homological algebra, but has included an appendix in which he gives a purely topological proof of the Riemann - Roch formula.

Geometry of Low-Dimensional Manifolds: Volume 1, Gauge Theory and Algebraic Surfaces (Paperback, New): S. K. Donaldson, C.B.... Geometry of Low-Dimensional Manifolds: Volume 1, Gauge Theory and Algebraic Surfaces (Paperback, New)
S. K. Donaldson, C.B. Thomas
R1,441 Discovery Miles 14 410 Ships in 10 - 15 working days

These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects (topology, differential and algebraic geometry and mathematical physics) interact.

Geometry of Low-Dimensional Manifolds: Volume 2 - Symplectic Manifolds and Jones-Witten Theory (Paperback): S. K. Donaldson,... Geometry of Low-Dimensional Manifolds: Volume 2 - Symplectic Manifolds and Jones-Witten Theory (Paperback)
S. K. Donaldson, C.B. Thomas
R2,024 Discovery Miles 20 240 Ships in 10 - 15 working days

This volume is based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects interact (for example: topology, differential and algebraic geometry and mathematical physics). The workshop brought together a number of distinguished figures to give lecture courses and seminars in these subjects; the volume that has resulted is the only expository source for much of the material, and will be essential for all research workers in geometry and mathematical physics.

Introduction to Differential Topology (Paperback): T. Broecker, K. Janich Introduction to Differential Topology (Paperback)
T. Broecker, K. Janich; Translated by C.B. Thomas, M.J. Thomas
R1,432 Discovery Miles 14 320 Ships in 12 - 19 working days

This book is intended as an elementary introduction to differential manifolds. The authors concentrate on the intuitive geometric aspects and explain not only the basic properties but also teach how to do the basic geometrical constructions. An integral part of the work are the many diagrams which illustrate the proofs. The text is liberally supplied with exercises and will be welcomed by students with some basic knowledge of analysis and topology.

History of England (Hardcover): Cb Thomas Erskine May History of England (Hardcover)
Cb Thomas Erskine May
R1,120 Discovery Miles 11 200 Ships in 10 - 15 working days
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