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Author: Vialar Thierry
Publisher: BoD - Books on Demand
ISBN: 2955199052
Category : Mathematics
Languages : en
Pages : 1134
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Book Description
The book, revised, consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII. Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. Extensive cross-references allow readers to find related terms, concepts and items (by page number, heading, and objet such as theorem, definition, example, etc.). The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.
Author: Vialar Thierry
Publisher: BoD - Books on Demand
ISBN: 2955199052
Category : Mathematics
Languages : en
Pages : 1134
Get Book Here
Book Description
The book, revised, consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII. Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. Extensive cross-references allow readers to find related terms, concepts and items (by page number, heading, and objet such as theorem, definition, example, etc.). The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.
Author: R. H. Crowell
Publisher: Springer Science & Business Media
ISBN: 1461299357
Category : Mathematics
Languages : en
Pages : 191
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Book Description
Knot theory is a kind of geometry, and one whose appeal is very direct because the objects studied are perceivable and tangible in everyday physical space. It is a meeting ground of such diverse branches of mathematics as group theory, matrix theory, number theory, algebraic geometry, and differential geometry, to name some of the more prominent ones. It had its origins in the mathematical theory of electricity and in primitive atomic physics, and there are hints today of new applications in certain branches of chemistryJ The outlines of the modern topological theory were worked out by Dehn, Alexander, Reidemeister, and Seifert almost thirty years ago. As a subfield of topology, knot theory forms the core of a wide range of problems dealing with the position of one manifold imbedded within another. This book, which is an elaboration of a series of lectures given by Fox at Haverford College while a Philips Visitor there in the spring of 1956, is an attempt to make the subject accessible to everyone. Primarily it is a text book for a course at the junior-senior level, but we believe that it can be used with profit also by graduate students. Because the algebra required is not the familiar commutative algebra, a disproportionate amount of the book is given over to necessary algebraic preliminaries.
Author: Robert Daniel Carmichael
Publisher:
ISBN:
Category : Diophantine analysis
Languages : en
Pages : 138
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Book Description
Author: Martin Aigner
Publisher: Springer Science & Business Media
ISBN: 3662223430
Category : Mathematics
Languages : en
Pages : 194
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Book Description
According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Author: William Burnside
Publisher: Courier Dover Publications
ISBN: 0486816915
Category : Mathematics
Languages : en
Pages : 545
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Book Description
An unabridged republication of the classic 1911 edition, this volume constitutes both a great historical contribution to mathematical literature and a basic reference book in its field. Suitable for advanced undergraduates and graduate students in mathematics as well as historians of mathematics, the introductory treatment was hailed by International Mathematical News as "more easily comprehensible than most other books on the subject," and as "a classic work, extraordinarily rich," by Elemente der Mathematik. After introducing permutation notation and presenting the definition of a group, author William Burnside discusses the simpler properties of groups that are independent of their modes of representation; composition-series of groups; isomorphism of a group with itself; Abelian groups; groups whose orders are the powers of primes; and Sylow's theorem. Permutation groups and groups of linear substitutions receive an extensive treatment; two chapters are devoted to the graphic representation of groups, and the closing chapter examines congruence groups. Forty-five pages of notes at the back of the book offer ample treatment of special topics.
Author: WECHSLER
Publisher: Springer Science & Business Media
ISBN: 9780817633790
Category : Science
Languages : en
Pages : 206
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Book Description
Author: W.B.Raymond Lickorish
Publisher: Springer Science & Business Media
ISBN: 146120691X
Category : Mathematics
Languages : en
Pages : 213
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Book Description
A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significant results are achieved and each chapter ends with exercises and brief accounts of the latest research. What may reasonably be referred to as knot theory has expanded enormously over the last decade and, while the author describes important discoveries throughout the twentieth century, the latest discoveries such as quantum invariants of 3-manifolds as well as generalisations and applications of the Jones polynomial are also included, presented in an easily intelligible style. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory, although explanations throughout the text are numerous and well-done. Written by an internationally known expert in the field, this will appeal to graduate students, mathematicians and physicists with a mathematical background wishing to gain new insights in this area.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 72
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Book Description
The oldest and most respected martial arts title in the industry, this popular monthly magazine addresses the needs of martial artists of all levels by providing them with information about every style of self-defense in the world - including techniques and strategies. In addition, Black Belt produces and markets over 75 martial arts-oriented books and videos including many about the works of Bruce Lee, the best-known marital arts figure in the world.
Author: Michael Peskin
Publisher: CRC Press
ISBN: 0429973802
Category : Science
Languages : en
Pages : 622
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Book Description
An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
Author:
Publisher:
ISBN:
Category : Periodicals
Languages : en
Pages : 722
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Book Description
