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|Author||: Marcel Berger|
|Editor||: Springer Science & Business Media|
Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.
|Author||: Serge Lang,Gene Murrow|
|Editor||: Springer Science & Business Media|
At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. They also show students the fundamental concepts and the difference between important results and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course, naturally backed by numerous examples and exercises.
|Author||: Horace Grant|
Principles of geometry mensuration trigonometry land surveying and levelling with their application to the solution of practical problems in estimation surveying and railway engineering
|Author||: Thomas Tate (mathematical master.)|
|Author||: Mikio Nakahara|
|Editor||: Taylor & Francis|
Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.
|Author||: Elizabeth Waite,Lawrence Leff|
|Editor||: Barrons Educational Series|
This new edition in Barron's Easy Way Series contains everything students need to prepare for a geometry class. Geometry: The Easy Way provides key content review and practice exercises to help students learn geometry the easy way. Topics covered in this detailed review of algebra include the "how" and "why" of geometry, with examples, exercises, and solutions throughout, plus hundreds of drawings, graphs, and tables. Practice questions in each chapter help students develop their skills and gauge their progress. Visual references including charts, graphs, diagrams, instructive illustrations, and icons help engage students and reinforce important concepts. The previous edition of this book was titled E-Z Geometry.
|Author||: Elias Loomis|
An Elementary Treatise on Analytic Geometry Embracing Plane Geometry and an Introduction to Geometry of Three Dimensions
|Author||: Edward Albert Bowser|
|Author||: John Roe|
|Editor||: Clarendon Press|
This text is a careful introduction to geometry. While developing geometry, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.
|Author||: John Reynell Morell|
|Author||: Horatio Nelson Robinson|