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Author : Bruce E. Meserve
Publisher : Courier Corporation
Page : 336 pages
File Size : 43,9 Mb
Release : 2014-12-08
Category : Mathematics
ISBN : 9780486152264
Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.
Author : Walter Prenowitz,Meyer Jordan
Publisher : Rowman & Littlefield
Page : 380 pages
File Size : 53,6 Mb
Release : 2012-10-04
Category : Mathematics
ISBN : 0912675489
No descriptive material is available for this title.
Author : R. Lavendhomme
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 50,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475745887
Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; the systematic account of structured Lie objects, such as Riemannian, symplectic, or Poisson Lie objects; the view of global Lie algebras as Lie algebras of a Lie group in the synthetic sense; and lastly the synthetic construction of symplectic structure on the cotangent bundle in general. Thus while the book is limited to a naive point of view developing synthetic differential geometry as a theory in itself, the author nevertheless treats somewhat advanced topics, which are classic in classical differential geometry but new in the synthetic context. Audience: The book is suitable as an introduction to synthetic differential geometry for students as well as more qualified mathematicians.
Author : Frank Benjamin Allen,Betty Stine Guyer
Publisher : Unknown
Page : 278 pages
File Size : 44,8 Mb
Release : 1973
Category : Mathematics
ISBN : PSU:000029916542
Author : Alan Bass
Publisher : Unknown
Page : 0 pages
File Size : 46,5 Mb
Release : 2007-04-17
Category : Geometry
ISBN : 0321473310
This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra. Topics include: A Brief History of Geometry 1. Basic Geometry Concepts 2. More about Angles 3. Triangles 4. More about Triangles: Similarity and Congruence 5. Quadrilaterals 6. Polygons 7. Area and Perimeter 8. Circles 9. Volume and Surface Area 10. Basic Trigonometry
Author : Man Yiu Kwong
Publisher : 香港教育圖書公司
Page : 154 pages
File Size : 47,7 Mb
Release : 2019-08-01
Category : Mathematics
ISBN : 9789882412309
This book is a self-contained introduction to the fundamental and interesting topics of geometry. The topics covered include the definitions and properties of 2D and 3D shapes, the basic concepts and formulas of perimeter, area and volume, the Pick’s formula, the Cavalieri’s principles, the basic geometric transformations, the concepts of tessellations, the Euler’s polyhedral formula, and the methods of construction of regular polygons and regular polyhedra. Complemented by diagrams, pictures, examples and exercises, the materials covered are suitable for an introductory course on geometry and will appeal to school students, teachers, junior undergraduate students, mathematics instructors or lecturers alike.
Author : S.P. Novikov,A.T. Fomenko
Publisher : Springer Science & Business Media
Page : 500 pages
File Size : 41,9 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401578950
One service mathematics has rendered the 'Et moi ..., si j'avait su comment en revenir, je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Matht"natics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics seNe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series
Author : George David Birkhoff,Ralph Beatley
Publisher : American Mathematical Soc.
Page : 164 pages
File Size : 55,9 Mb
Release : 2000
Category : Mathematics
ISBN : 9780821826928
Lesson plan outline: 9 lessons Lesson plan outline: 15 lessons Lesson plan outline: 19 lessons Lesson plan outline: 12 lessons Lesson plan outline: 27 lessons Lesson plan outline: 19 lessons Lesson plan outline: 17 lessons Lesson plan outline: 6 lessons Lesson plan outline: 14 lessons Lesson plan outline: 7 lessons
Author : Patrick D Barry
Publisher : Woodhead Publishing
Page : 280 pages
File Size : 55,7 Mb
Release : 2015-12-24
Category : Mathematics
ISBN : 9780128050675
Geometry with Trigonometry Second Edition is a second course in plane Euclidean geometry, second in the sense that many of its basic concepts will have been dealt with at school, less precisely. It gets underway with a large section of pure geometry in Chapters 2 to 5 inclusive, in which many familiar results are efficiently proved, although the logical frame work is not traditional. In Chapter 6 there is a convenient introduction of coordinate geometry in which the only use of angles is to handle the perpendicularity or parallelism of lines. Cartesian equations and parametric equations of a line are developed and there are several applications. In Chapter 7 basic properties of circles are developed, the mid-line of an angle-support, and sensed distances. In the short Chaper 8 there is a treatment of translations, axial symmetries and more generally isometries. In Chapter 9 trigonometry is dealt with in an original way which e.g. allows concepts such as clockwise and anticlockwise to be handled in a way which is not purely visual. By the stage of Chapter 9 we have a context in which calculus can be developed. In Chapter 10 the use of complex numbers as coordinates is introduced and the great conveniences this notation allows are systematically exploited. Many and varied topics are dealt with , including sensed angles, sensed area of a triangle, angles between lines as opposed to angles between co-initial half-lines (duo-angles). In Chapter 11 various convenient methods of proving geometrical results are established, position vectors, areal coordinates, an original concept mobile coordinates. In Chapter 12 trigonometric functions in the context of calculus are treated. New to this edition: The second edition has been comprehensively revised over three years Errors have been corrected and some proofs marginally improved The substantial difference is that Chapter 11 has been significantly extended, particularly the role of mobile coordinates, and a more thorough account of the material is given Provides a modern and coherent exposition of geometry with trigonometry for many audiences across mathematics Provides many geometric diagrams for a clear understanding of the text and includes problem exercises for many chapters Generalizations of this material, such as to solid euclidean geometry and conic sections, when combined with calculus, would lead to applications in science, engineering, and elsewhere
Author : Dan Pedoe
Publisher : Courier Corporation
Page : 466 pages
File Size : 52,9 Mb
Release : 2013-04-02
Category : Mathematics
ISBN : 9780486131733
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
Author : Steck-Vaughn Staff
Publisher : Unknown
Page : 0 pages
File Size : 40,6 Mb
Release : 1999-12
Category : Geometry
ISBN : 0739829300
Author : Euclid
Publisher : Unknown
Page : 404 pages
File Size : 51,8 Mb
Release : 2017-12-17
Category : Mathematics
ISBN : 1420956477
Euclid was a mathematician from the Greek city of Alexandria who lived during the 4th and 3rd century B.C. and is often referred to as the "father of geometry." Within his foundational treatise "Elements," Euclid presents the results of earlier mathematicians and includes many of his own theories in a systematic, concise book that utilized a brief set of axioms and meticulous proofs to solidify his deductions. In addition to its easily referenced geometry, "Elements" also includes number theory and other mathematical considerations. For centuries, this work was a primary textbook of mathematics, containing the only framework for geometry known by mathematicians until the development of "non-Euclidian" geometry in the late 19th century. The extent to which Euclid's "Elements" is of his own original authorship or borrowed from previous scholars is unknown, however despite this fact it was his collation of these basic mathematical principles for which most of the world would come to the study of geometry. Today, Euclid's "Elements" is acknowledged as one of the most influential mathematical texts in history. This volume includes all thirteen books of Euclid's "Elements," is printed on premium acid-free paper, and follows the translation of Thomas Heath.
Author : Daniel Hug,Wolfgang Weil
Publisher : Springer Nature
Page : 287 pages
File Size : 45,5 Mb
Release : 2020-08-27
Category : Mathematics
ISBN : 9783030501808
This book provides a self-contained introduction to convex geometry in Euclidean space. After covering the basic concepts and results, it develops Brunn–Minkowski theory, with an exposition of mixed volumes, the Brunn–Minkowski inequality, and some of its consequences, including the isoperimetric inequality. Further central topics are then treated, such as surface area measures, projection functions, zonoids, and geometric valuations. Finally, an introduction to integral-geometric formulas in Euclidean space is provided. The numerous exercises and the supplementary material at the end of each section form an essential part of the book. Convexity is an elementary and natural concept. It plays a key role in many mathematical fields, including functional analysis, optimization, probability theory, and stochastic geometry. Paving the way to the more advanced and specialized literature, the material will be accessible to students in the third year and can be covered in one semester.
Author : Terri Husted
Publisher : Unknown
Page : 272 pages
File Size : 49,9 Mb
Release : 2012-05-15
Category : Electronic
ISBN : 1601444532
Author : CK-12 Foundation
Publisher : CK-12 Foundation
Page : 603 pages
File Size : 51,8 Mb
Release : 2010-08-15
Category : Mathematics
ISBN : 9781935983019
CK-12 Foundation's Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.