Pure Mathematics

Pure Mathematics PDF Author: Linda Bostock
Publisher: Nelson Thornes
ISBN: 9780859500975
Category : Juvenile Nonfiction
Languages : en
Pages : 660

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Book Description
Includes a section on matrices and transformations, this book features worked examples and exercises to illustrate concepts at every stage of its development. It caters for the "Pure Mathematics" content of various courses in Further Mathematics and also for preparation for the Advanced Extension Award.

Pure Mathematics

Pure Mathematics PDF Author: Linda Bostock
Publisher: Nelson Thornes
ISBN: 9780859500975
Category : Juvenile Nonfiction
Languages : en
Pages : 660

Get Book Here

Book Description
Includes a section on matrices and transformations, this book features worked examples and exercises to illustrate concepts at every stage of its development. It caters for the "Pure Mathematics" content of various courses in Further Mathematics and also for preparation for the Advanced Extension Award.

A Course in Mathematics for Students of Physics: Volume 2

A Course in Mathematics for Students of Physics: Volume 2 PDF Author: Paul Bamberg
Publisher: Cambridge University Press
ISBN: 9780521406505
Category : Mathematics
Languages : en
Pages : 468

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Book Description
This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.

A Course in Arithmetic

A Course in Arithmetic PDF Author: J-P. Serre
Publisher: Springer Science & Business Media
ISBN: 1468498843
Category : Mathematics
Languages : en
Pages : 126

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Book Description
This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.

A Course in the Theory of Groups

A Course in the Theory of Groups PDF Author: Derek J.S. Robinson
Publisher: Springer Science & Business Media
ISBN: 1468401289
Category : Mathematics
Languages : en
Pages : 498

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Book Description
" A group is defined by means of the laws of combinations of its symbols," according to a celebrated dictum of Cayley. And this is probably still as good a one-line explanation as any. The concept of a group is surely one of the central ideas of mathematics. Certainly there are a few branches of that science in which groups are not employed implicitly or explicitly. Nor is the use of groups confined to pure mathematics. Quantum theory, molecular and atomic structure, and crystallography are just a few of the areas of science in which the idea of a group as a measure of symmetry has played an important part. The theory of groups is the oldest branch of modern algebra. Its origins are to be found in the work of Joseph Louis Lagrange (1736-1813), Paulo Ruffini (1765-1822), and Evariste Galois (1811-1832) on the theory of algebraic equations. Their groups consisted of permutations of the variables or of the roots of polynomials, and indeed for much of the nineteenth century all groups were finite permutation groups. Nevertheless many of the fundamental ideas of group theory were introduced by these early workers and their successors, Augustin Louis Cauchy (1789-1857), Ludwig Sylow (1832-1918), Camille Jordan (1838-1922) among others. The concept of an abstract group is clearly recognizable in the work of Arthur Cayley (1821-1895) but it did not really win widespread acceptance until Walther von Dyck (1856-1934) introduced presentations of groups.

A Course of Mathematics, Vol. 2 of 2

A Course of Mathematics, Vol. 2 of 2 PDF Author: Charles Hutton
Publisher: Forgotten Books
ISBN: 9780282510657
Category : Mathematics
Languages : en
Pages : 410

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Book Description
Excerpt from A Course of Mathematics, Vol. 2 of 2: For the Use of Academies, as Well as Private Tuition There are also other methods of constructing the canon of sines and cosines, which, for brevity's sake, are here omitted. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

California Math

California Math PDF Author: John A. Carter
Publisher:
ISBN: 9780021440115
Category : Mathematics
Languages : en
Pages :

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Book Description


Cambridge O Level Mathematics: Volume 1

Cambridge O Level Mathematics: Volume 1 PDF Author: Audrey Simpson
Publisher: Cambridge University Press
ISBN: 0521186048
Category : Juvenile Nonfiction
Languages : en
Pages : 517

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Book Description
Endorsed by University of Cambridge International Examinations. Cambridge O Level Mathematics Volume 1 provides a two-year course leading to O Level examinations from University of Cambridge International Examinations in Mathematics. The book is designed to be worked through sequentially and can be used as a classroom textbook or for self-study.

A Course of Mathematics for Engineers and Scientists

A Course of Mathematics for Engineers and Scientists PDF Author: Brian H. Chirgwin
Publisher: Elsevier
ISBN: 148318417X
Category : Mathematics
Languages : en
Pages : 335

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Book Description
A Course of Mathematics for Engineers and Scientists, Volume 1 studies the various concepts in pure and applied mathematics, specifically the technique and applications of differentiation and integration of one variable, geometry of two dimensions, and complex numbers. The book is divided into seven chapters, wherein the first of which presents the introductory concepts, such as the functional notation and fundamental definitions; the roots of equations; and limits and continuity. The text then tackles the techniques and applications of differentiation and integration. Geometry of two dimensions and complex numbers are also encompassed in the book. The text will be very invaluable to students of pure and applied mathematics and engineering, as well as those mathematicians and engineers who need a refresher on the topic.

A Course in Mathematics, Vol. 2

A Course in Mathematics, Vol. 2 PDF Author: Frederick S. Woods
Publisher: Forgotten Books
ISBN: 9780266599500
Category : Mathematics
Languages : en
Pages : 426

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Book Description
Excerpt from A Course in Mathematics, Vol. 2: For Students in Engineering and Applied Science The subject of integration of functions of a single variable is treated in the first eight chapters. Emphasis is here laid upon the fundamental processes, and the conception of the definite integral and its numerous applications are early introduced. Only after the student is well grounded in these matters are the more special methods of evaluating integrals discussed. In this way the student's interest is early aroused in the use of the subject, and he is drilled in those processes which occur in subsequent practice. A new feature of this part of the book is a chapter on simple differential equations in close connection with integration and long before the formal study of differential equations. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A Course in Functional Analysis

A Course in Functional Analysis PDF Author: John B Conway
Publisher: Springer
ISBN: 1475743831
Category : Mathematics
Languages : en
Pages : 416

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Book Description
This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS