Conceptual Geometry of Straight Line

Conceptual Geometry of Straight Line
Author: Chandra Shekhar Kumar
Publisher: Ancient Science Publishers
Total Pages: 176
Release: 2018-03-25
Genre: Mathematics
ISBN:

This work contains conceptual solutions to the problems and exercises given in Chapters I-VI (Covering Straight Line) of S. L. Loney's Co-ordinate Geometry including variations of problems, solutions, methods and approaches. These solutions strengthen and enliven the inherent multi-concepts to enrich the heritage set forth by S. L. Loney. The present work will serve as a complete guide to private students reading the subject with few or no opportunities of instruction. This will save the time and lighten the work of Teachers as well. This book helps in acquiring a better understanding of the basic principles of Straight Line (Co-ordinate Geometry) and in revising a large amount of the subject matter quickly. Care has been taken, as in the forthcoming ones, to present the solutions with multi-concepts and beyond in a simple natural manner, in order to meet the difficulties which are most likely to arise, and to render the work intelligible and instructive.

Euclid's Elements

Euclid's Elements
Author: Euclid
Publisher:
Total Pages: 544
Release: 2002
Genre: Mathematics
ISBN:

"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

Fundamental Concepts of Geometry

Fundamental Concepts of Geometry
Author: Bruce E. Meserve
Publisher: Courier Corporation
Total Pages: 340
Release: 2014-12-08
Genre: Mathematics
ISBN: 048615226X

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.

Basic Concepts of Geometry

Basic Concepts of Geometry
Author: Walter Prenowitz
Publisher: Rowman & Littlefield
Total Pages: 380
Release: 2012-10-04
Genre: Mathematics
ISBN: 9780912675480

No descriptive material is available for this title.

Conceptual Trigonometry Part I

Conceptual Trigonometry Part I
Author: Chandra Shekhar Kumar
Publisher: Ancient Science Publishers
Total Pages: 369
Release: 2018-07-23
Genre: Mathematics
ISBN:

This work contains conceptual solutions to the problems and exercises given in the text book of Plane Trigonometry by S. L. Loney's including variations of problems, solutions, methods and approaches. These solutions strengthen and enliven the inherent multi-concepts to enrich the heritage set forth by S. L. Loney. The present work will serve as a complete guide to private students reading the subject with few or no opportunities of instruction. This will save the time and lighten the work of Teachers as well. This book helps in acquiring a better understanding of the basic principles of Plane Trigonometry and in revising a large amount of the subject matter quickly. Care has been taken, as in the forthcoming ones, to present the solutions with multi-concepts and beyond in a simple natural manner, in order to meet the difficulties which are most likely to arise, and to render the work intelligible and instructive.

New Foundations for Physical Geometry

New Foundations for Physical Geometry
Author: Tim Maudlin
Publisher:
Total Pages: 374
Release: 2014-02
Genre: Mathematics
ISBN: 0198701306

Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.

Conceptual Kinematics

Conceptual Kinematics
Author: Chandra Shekhar Kumar
Publisher: Ancient Science Publishers
Total Pages: 61
Release:
Genre: Science
ISBN:

Conceptual Kinematics: A Companion to I. E. Irodov's Problems in General Physics. This work contains several variations of problems, solutions, methods, approaches related to Kinematics of I. E. Irodov's Problems in General Physics. These solutions strengthen and enliven the inherent multi-concepts including (but not limited to) analytics, graphical geometry, calculus, trigonometric geometry, scalar/vector algebra, differential equations, extrema without calculus to enrich the heritage set forth by I. E. Irodov. The present work will serve as a complete guide to private students reading the subject with few or no opportunities of instruction. This will save the time and lighten the work of Teachers as well. This book helps in acquiring a better understanding of the basic principles of Kinematics and in revising a large amount of the subject matter quickly. Care has been taken, as in the forthcoming ones, to present the solutions with multi-concepts and beyond in a simple natural manner, in order to meet the difficulties which are most likely to arise, and to render the work intelligible and instructive.

Geometry - Intuition and Concepts

Geometry - Intuition and Concepts
Author: Jost-Hinrich Eschenburg
Publisher: Springer Nature
Total Pages: 168
Release: 2022-10-31
Genre: Mathematics
ISBN: 3658386401

This book deals with the geometry of visual space in all its aspects. As in any branch of mathematics, the aim is to trace the hidden to the obvious; the peculiarity of geometry is that the obvious is sometimes literally before one's eyes.Starting from intuition, spatial concepts are embedded in the pre-existing mathematical framework of linear algebra and calculus. The path from visualization to mathematically exact language is itself the learning content of this book. This is intended to close an often lamented gap in understanding between descriptive preschool and school geometry and the abstract concepts of linear algebra and calculus. At the same time, descriptive geometric modes of argumentation are justified because their embedding in the strict mathematical language has been clarified. The concepts of geometry are of a very different nature; they denote, so to speak, different layers of geometric thinking: some arguments use only concepts such as point, straight line, and incidence, others require angles and distances, still others symmetry considerations. Each of these conceptual fields determines a separate subfield of geometry and a separate chapter of this book, with the exception of the last-mentioned conceptual field "symmetry", which runs through all the others: - Incidence: Projective geometry - Parallelism: Affine geometry - Angle: Conformal Geometry - Distance: Metric Geometry - Curvature: Differential Geometry - Angle as distance measure: Spherical and Hyperbolic Geometry - Symmetry: Mapping Geometry. The mathematical experience acquired in the visual space can be easily transferred to much more abstract situations with the help of the vector space notion. The generalizations beyond the visual dimension point in two directions: Extension of the number concept and transcending the three illustrative dimensions. This book is a translation of the original German 1st edition Geometrie – Anschauung und Begriffe by Jost-Hinrich Eschenburg, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.

Foundations and Fundamental Concepts of Mathematics

Foundations and Fundamental Concepts of Mathematics
Author: Howard Eves
Publisher: Courier Corporation
Total Pages: 370
Release: 2012-04-10
Genre: Mathematics
ISBN: 048613220X

Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography.

Linear Differential Equations and Group Theory from Riemann to Poincare

Linear Differential Equations and Group Theory from Riemann to Poincare
Author: Jeremy Gray
Publisher: Springer Science & Business Media
Total Pages: 357
Release: 2010-01-07
Genre: Mathematics
ISBN: 0817647732

This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry. The text for this second edition has been greatly expanded and revised, and the existing appendices enriched. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level.