# The Elements of Coordinate Geometry by Loney

• micromass
In summary: Cardinals Measurable Cardinals Huge Cardinals Elementary Embeddings The Axiom of Constructibility Bibliography IndexIn summary, "Div, Grad, Curl, and All That: An Informal Text on Vector Calculus" by H.M. Schey is a comprehensive guide to vector calculus, focusing on the three fundamental operations of divergence, gradient, and curl. It is suitable for readers with a background in Calculus 1, 2, and 3. "Measure and Integration" by Sterling Berberian is a thorough introduction to measure theory, with a focus on integration and its applications. It is suitable for readers with a background in mathematical proofs. "Proofs from THE BOOK" by Martin Aigner and Gun

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[LIST]
[*] Preface
[*] Introduction, Vector Functions, and Electrostatics
[LIST]
[*] Introduction
[*] Vector Functions
[*] Electrostatics
[*] Problems
[/LIST]
[*] Surface Integrals and the Divergence
[LIST]
[*] Gauss' Law
[*] The Unit Normal Vector
[*] Definition of Surface Integrals
[*] Evaluating Surface Integrals
[*] Flux
[*] Using Gauss' Law to Find the Field
[*] The Divergence
[*] The Divergence in Cylindrical and Spherical Coordinates
[*] The Del Notation
[*] The Divergence Theorem
[*] Two Simple Applications of the Divergence Theorem
[*] Problems
[/LIST]
[*] Line Integrals and the Curl
[LIST]
[*] Work and Line Integrals
[*] Line Integrals Involving Vector Functions
[*] Path Independence
[*] The Curl
[*] The Curl in Cylindrical and Spherical Coordinates
[*] The Meaning of the Curl
[*] Differential Form of the Circulation Law
[*] Stokes' Theorem
[*] An Application of Stokes' Theorem
[*] Stokes' Theorem and Simply Connected Regions
[*] Path Independence and the Curl
[*] Problems
[/LIST]
[LIST]
[*] Line Integrals and the Gradient
[*] Finding the Electrostatic Field
[*] Using Laplace's Equation
[*] Directional Derivatives and the Gradient
[*] Geometric Significance of the Gradient
[*] The Gradient in Cylindrical and Spherical Coordinates
[*] Problems
[/LIST]
[*] Solutions to Problems
[*] Bibliography
[*] Index
[/LIST]

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Code:
[LIST]
[*] Preface
[*] Index of Symbols
[*] Measures
[LIST]
[*] Set Theoretic Notations and Terminology
[*] Rings and $\sigma$-Rings
[*] The Lemma on Monotone Classes
[*] Set Functions, Measures
[*] Some Properties of Measures
[*] Outer Measures
[*] Extensions of Measures
[*] Lebesgue Measure
[*] Measurable Covers
[*] Completion of a Measure
[*] The LUB of an Increasingly Directed Family of Measures
[/LIST]
[*] Measurable Functions
[LIST]
[*] Measurable Spaces
[*] Measurable Functions
[*] Combinations of Measurable Functions
[*] Limits of Measurable Functions
[*] Localization of Measurability
[*] Simple Functions
[/LIST]
[*] Sequences of Measurable Functions
[LIST]
[*] Measure Spaces
[*] The "Almost Everywhere" Concept
[*] Almost Everywhere Convergence
[*] Convergence in Measure
[*] Almost Uniform Convergence, Egoroff's Theorem
[/LIST]
[*] Integrable Functions
[LIST]
[*] Integrable Simple Functions
[*] Heuristics
[*] Nonnegative Integrable Functions
[*] Integrable Functions
[*] Indefinite Integrals
[*] The Monotone Convergence Theorem
[*] Mean Convergence
[/LIST]
[*] Convergence Theorems
[LIST]
[*] Dominated Convergence in Measure
[*] Dominated Convergence Almost Everywhere
[*] The $\mathcal{L}^1$ Completeness Theorem
[*] Fatou's Lemma
[*] The Space $\mathcal{L}^2$, Riesz-Fisher Theorem
[/LIST]
[*] Product Measures
[LIST]
[*] Rectangles
[*] Cartesian Product of Two Measurable Spaces
[*] Sections
[*] Preliminaries
[*] The Product of Two Finite Measure Spaces
[*] The Product of Any Two Measure Spaces
[*] Product of Two $\sigma$-Finite Measure Spaces; Iterated Integrals
[*] Fubini's Theorem
[*] Complements
[/LIST]
[*] Finite Signed Measures
[LIST]
[*] Absolute Continuity
[*] Finite Signed Measures
[*] Contractions of a Finite Signed Measure
[*] Purely Positive and Purely Negative Sets
[*] Comparison of Finite Measures
[*] Jordan-Hahn Decomposition of a Finite Signed Measure
[*] Domination of a Finite Signed Measures
[*] The Radon-Nikodym Theorem for a Finite Measure Space
[*] The Radon-Nikodym Theorem for a $\sigma$-Finite Measure Space
[*] Riesz Representation Theorem
[/LIST]
[*] Integration over Locally Compact Spaces
[LIST]
[*] Continuous Functions with Compact Support
[*] $G_\delta$'s and $F_\sigma$'s
[*] Baire Sets
[*] Borel SEts
[*] Preliminaries on Rings
[*] Regularity
[*] Regularity of Baire Measures
[*] Regularity (Continuous)
[*] Regular Borel Measures
[*] Contents
[*] Regular Contents
[*] The Regular Borel Extension of a Baire Measure
[*] Integration of Continuous Functions with Compact Support
[*] Approximation of Baire Functions
[*] Approximation of Borel Functions
[*] The Riesz-Markoff Representation Theorem
[*] Completion Regularity
[/LIST]
[*] Integration over Locally Compact Groups
[LIST]
[*] Topological Groups
[*] Translates, Haar Integrals
[*] Translation Rations
[*] Existence of a Haar Integral
[*] A Topological Lemma
[*] Uniqueness of the Haar Integral
[*] The Modular Function
[*] Haar Measure
[*] Translates of Integrable Functions
[*] Adjoints of Continuous Functions with Compact Support
[*] Convolution of Continuous Functons with Compact Support
[*] The Operation f Triangle g
[*] Convolution of Integrable Baire Functions
[*] Associavity of Convolution
[*] The Group algebra
[*] Convolution of Integrable Simple Baire Functions
[*] The domain f*g
[*] Convolution of Integrable Borel Functions
[*] Complements on Haar Measure
[/LIST]
[*] References and Notes
[*] Bibliography
[*] Index
[/LIST]

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[LIST]
[*] Number Theory
[LIST]
[*] Six proofs of the infinity of primes
[*] Bertrand’s postulate
[*] Binomial coefficients are (almost) never powers
[*] Representing numbers as sums of two squares
[*] The law of quadratic reciprocity
[*] Every finite division ring is a field
[*] Some irrational numbers
[*] Three times \pi^2/6
[/LIST]
[*] Geometry
[LIST]
[*] Hilbert’s third problem: decomposing polyhedra
[*] Lines in the plane and decompositions of graphs
[*] The slope problem
[*] Three applications of Euler’s formula
[*] Cauchy’s rigidity theorem
[*] Touching simplices
[*] Every large point set has an obtuse angle
[*] Borsuk’s conjecture
[/LIST]
[*] Analysis
[LIST]
[*] Sets, functions, and the continuum hypothesis
[*] In praise of inequalities
[*] The fundamental theorem of algebra
[*] One square and an odd number of triangles
[*] A theorem of Pólya on polynomials
[*] On a lemma of Littlewood and Offord
[*] Cotangent and the Herglotz trick
[*] Buffon’s needle problem
[/LIST]
[*] Combinatorics
[LIST]
[*] Pigeon-hole and double counting
[*] Tiling rectangles
[*] Three famous theorems on finite sets
[*] Shuffling cards
[*] Lattice paths and determinants
[*] Cayley’s formula for the number of trees
[*] Identities versus bijections
[*] Completing Latin squares
[/LIST]
[*] Graph Theory
[LIST]
[*] The Dinitz problem
[*] Five-coloring plane graphs
[*] How to guard a museum
[*] Turán’s graph theorem
[*] Communicating without errors
[*] The chromatic number of Kneser graphs
[*] Of friends and politicians
[*] Probability makes counting (sometimes) easy
[/LIST]
[*] Index
[/LIST]

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Code:
[LIST]
[*] Preface
[*] Sets
[LIST]
[*] Introduction to Sets
[*] Properties
[*] The Axioms
[*] Elementary Operations on gets
[/LIST]
[*] Relations, Functions, and Orderings
[LIST]
[*] Ordered Pairs
[*] Relations
[*] Functions
[*] Equivalences and Partitions
[*] Orderings
[/LIST]
[*] Natural Numbers
[LIST]
[*] Introduction to Natural Numbers
[*] Properties of Natural Numbers
[*] The Recursion Theorem
[*] Arithmetic of Natural Numbers
[*] Operations and Structures
[/LIST]
[*] Finite, Countable, and Uncountable Sets
[LIST]
[*] Cardinality of gets
[*] Finite Sets
[*] Countable gets
[*] Linear Orderings
[*] Complete Linear Orderings
[*] Uncountable gets
[/LIST]
[*] Cardinal Numbers
[LIST]
[*] Cardinal Arithmetic
[*] The Cardinality of the Continuum
[/LIST]
[*] Ordinal Numbers
[LIST]
[*] Well-Ordered Sets
[*] Ordinal Numbers
[*] The Axiom of Replacement
[*] Transfinite Induction and Recursion
[*] Ordinal Arithmetic
[*] The Normal Form
[/LIST]
[*] Alephs
[LIST]
[*] Initial Ordinals
[*] Addition and Multiplication of Alephs
[/LIST]
[*] The Axiom of Choice
[LIST]
[*] The Axiom of Choice and its Equivalents
[*] The Use of the Axiom of Choice in Mathematics
[/LIST]
[*] Arithmetic of Cardinal Numbers
[LIST]
[*] Infinite Sums and Products of Cardinal Numbers
[*] Regular and Singular Cardinals
[*] Exponentiation of Cardinals
[/LIST]
[*] Sets of Real Numbers
[LIST]
[*] Integers and Rational Numbers
[*] Real Numbers
[*] Topology of the Real Line
[*] Sets of Real Numbers
[*] Borel Sets
[/LIST]
[*] Filters and Ultrafilters
[LIST]
[*] Filters and Ideals
[*] Ultrafilters
[*] Closed Unbounded and Stationary Sets
[*] Silver's Theorem
[/LIST]
[*] Comblnatorial Set Theory
[LIST]
[*] Ramsey's Theorems
[*] Partition Calculus for Uncountable Cardinals
[*] Trees
[*] Suslin's Problem
[*] Combinatorial Principles
[/LIST]
[*] Large Cardinals
[LIST]
[*] The Measure Problem
[*] Large Cardinals
[/LIST]
[*] The Axiom of Foundation
[LIST]
[*] Well-Founded Relations
[*] Well-Founded Set
[*] Non-Well-Founded Sets
[/LIST]
[*] The Axiomatic Set Theory
[LIST]
[*] The Zermelo-Praenkel Set Theory With Choice
[*] Consistency and Independence
[*] The Universe of Set Theory
[/LIST]
[*] Bibliography
[*] Index
[/LIST]

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Code:
[LIST]
[*] Part I
[LIST]
[*] Measurement of angles. Sexagesimal and Centesimal Measure
[*] Trigonometrical Ratios for angles less than a right angle
[*] Values for angles of 45°, 30°, 60°, 90° and 0°
[*] Simple problems in Heights and Distances
[*] Applications of algebraic signs to Trigonometry
[*] Tracing the changes in the ratios
[*] Trigonometrical ratios of angles of any size. Ratios for -\theta ,90°-\theta,90°+\theta,...
[*] General expressions for all angles having a given trigonometrical ratio
[*] Ratios of the sum and difference of two angles
[*] Product Formulae
[*] Ratios of multiple and submultiple angles
[*] Explanation of ambiguities
[*] Angles of 18°, 36°, and 9°
[*] Identities and trigonometrical equations
[*] Logarithms
[*] Tables of logarithms
[*] Principle of Proportional Parts
[*] Sides and Angles of a triangle
[*] Solution of triangles
[*] Given two sides and the included angle
[*] Ambiguous Case
[*] Heights and Distances
[*] Properties of a triangle
[*] The circles connected with a triangle
[*] Orthocentre and Pedal triangle
[*] Centroid and Medians
[*] Regular Polygons
[*] Trigonometrical ratios of small angles. sin \theta < \theta <tan \theta
[*] Area of a Circle
[*] Dip of the horizon
[*] Inverse circular functions
[*] Some simple trigonometrical Series
[*] Elimination
[/LIST]
[*] Analytical Trigonometry
[LIST]
[*] Exponential and Logarithmic Series
[*] Logarithms to base e
[*] Two important limits
[*] Complex quantities
[*] De Moivre's Theorem
[*] Binomial Theorem for complex quantities
[*] Expansions of sin n\theta, cos n\theta, and tan n\theta
[*] Expansions of sin a and cos a in a series of ascending powers of a
[*] Sines and Cosines of small angles
[*] Approximation to the root of an equation
[*] Evaluation of indeterminate quantities
[*] Expansions of cos^n \theta and sin^n \theta in cosines or sines of multiples of \theta
[*] Expansions of sin n\theta and cos n\theta in series of descending and ascending powers of sin \theta and cos \theta
[*] Exponential Series for Complex Quantities
[*] Circular functions of complex angles
[*] Euler's exponential values
[*] Hyperbolic Functions
[*] Inverse Circular and Hyperbolic Functions
[*] Logarithms of complex quantities
[*] Value of a^x when a and x are complex
[*] Gregory's Series
[*] Calculation of the value of \pi
[*] Summation of Series
[*] Expansions in Series
[*] Factors of x^{2n} - 2x^n cos n\theta + 1
[*] Factors of x^n - 1 and x^n + 1
[*] Resolution of sin \theta and cos \theta into factors
[*] sinh \theta and cosh \theta in products
[*] Principle of Proportional Parts
[*] Errors of observation
[*] Miscellaneous Propositions
[*] Solution of a Cubic Equation
[*] Maximum and Minimum Values
[*] Geometrical representation of complex quantities
[*] Miscellaneous Examples
[/LIST]
[/LIST]

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Code:
[LIST]
[*] Introduction. Algebraic Results
[*] Coordinates. Lengths of Straight Lines and Areas of Triangles
[LIST]
[*] Polar Coordinates
[/LIST]
[*] Locus. Equation to a Locus
[*] The Straight Line. Rectangular Coordinates
[LIST]
[*] Straight line through two points
[*] Angle between two given straight lines
[*] Conditions that they may be parallel and perpendicular
[*] Length of a perpendicular
[*] Bisectors of angles
[/LIST]
[*] The Straight Line. Polar Equations and Oblique Coordinates
[LIST]
[*] Equations involving an arbitrary constant
[*] Examples of loci
[/LIST]
[*] Equations representing two or more Straight Lines
[LIST]
[*] Angle between two lines given by one equation
[*] General equation of the second degree
[/LIST]
[*] Transformation of Coordinates
[LIST]
[*] Invariants
[/LIST]
[*] The Circle
[LIST]
[*] Equation to a tangent
[*] Pole and polar
[*] Equation to a circle in polar coordinates
[*] Equation referred to oblique axes
[*] Equations in terms of one variable
[/LIST]
[*] Systems of Circles
[LIST]
[*] Orthogonal circles
[*] Coaxal circles
[/LIST]
[*] Conic Sections. The Parabola
[LIST]
[*] Equation to a tangent
[*] Some properties of the parabola
[*] Pole and polar
[*] Diameters
[*] Equations in terms of one variable
[/LIST]
[*] The Parabola {continued)
[LIST]
[*] Loci connected with the parabola
[*] Three normals passing through a given point
[*] Parabola referred to two tangents as axes
[/LIST]
[*] The Ellipse
[LIST]
[*] Auxiliary circle and eccentric angle
[*] Equation to a tangent
[*] Some properties of the ellipse
[*] Pole and polar
[*] Conjugate diameters
[*] Pour normals through any point
[*] Examples of loci
[/LIST]
[*] The Hyperbola
[LIST]
[*] Asymptotes
[*] Equation referred to the asymptotes as axes
[*] One variable. Examples
[/LIST]
[*] Polar Equation to a Conic
[LIST]
[*] Polar equation to a tangent, polar, and normal
[/LIST]
[*] General Equation. Tracing of Curves
[LIST]
[*] Particular cases of conic sections
[*] Transformation of equation to centre as origin
[*] Equation to asymptotes
[*] Tracing a parabola
[*] Tracing a central conic
[*] Eccentricity and foci of general conic
[/LIST]
[*] General Equation
[LIST]
[*] Tangent
[*] Conjugate diameters
[*] Conics through the intersections of two conics
[*] The equation S=\lambda uv
[*] General equation to the pair of tangents drawn from any point
[*] The director circle
[*] The foci
[*] The axes
[*] Lengths of straight lines drawn in given directions to meet the onic
[*] Conics passing through four points
[*] Conics touching four lines
[*] The conic LM=R^2
[/LIST]
[*] Miscellaneous Propositions
[LIST]
[*] On the four normals from any point to a central conic
[*] Confocal conics
[*] Circles of curvature and contact of the third order
[*] Envelopes
[/LIST]
[/LIST]

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Code:
[LIST]
[*] Preface
[*] Unique Factorization
[LIST]
[*] Unique Factorization in Z
[*] Unique Factorization in k[x]
[*] Unique Factorization in a Principal Ideal Domain
[*] The Rings Z[i] and Z[\omega]
[/LIST]
[*] Applications of Unique Factorization
[LIST]
[*] Infinitely Many Primes in Z
[*] Some Arithmetic Functions
[*] \sum 1/p Diverges
[*] The Growth of \pi(x)
[/LIST]
[*] Congruence
[LIST]
[*] Elementary Observations
[*] Congruence in Z
[*] The Congruence ax = b(m)
[*] The Chinese Remainder Theorem
[/LIST]
[*] The Structure of U(Z/nZ)
[LIST]
[*] Primitive Roots and the Group Structure of U(Z/nZ)
[*] nth Power Residues
[/LIST]
[LIST]
[*] A Proof of the Law of Quadratic Reciprocity
[/LIST]
[LIST]
[*] Algebraic Numbers and Algebraic Integers
[*] The Quadratic Character of 2
[*] The Sign of the Quadratic Gauss Sum
[/LIST]
[*] Finite Fields
[LIST]
[*] Basic Properties of Finite Fields
[*] The Existence of Finite Fields
[*] An Application to Quadratic Residues
[/LIST]
[*] Gauss and Jacobi Sums
[LIST]
[*] Multiplicative Characters
[*] Gauss Sums
[*] Jacobi Sums
[*] The Equation x^n + y^n = 1 in F_p
[*] More on Jacobi Sums
[*] Applications
[*] A General Theorem
[/LIST]
[LIST]
[*] The Ring Z[\omega]
[*] Residue Class Rings
[*] Cubic Residue Character
[*] Proof of the Law of Cubic Reciprocity
[*] Another Proof of the Law of Cubic Reciprocity
[*] The Cubic Character of 2
[*] The Quartic Residue Symbol
[*] The Law of Biquadratic Reciprocity
[*] The Constructibility of Regular Polygons
[*] Cubic Gauss Sums and the Problem of Kummer
[/LIST]
[*] Equations over Finite Fields
[LIST]
[*] Affine Space, Projective Space, and Polynomials
[*] Chevalley's Theorem
[*] Gauss and Jacobi Sums over Finite Fields
[/LIST]
[*] The Zeta Function
[LIST]
[*] The Zeta Function of a Projective Hypersurface
[*] Trace and Norm in Finite Fields
[*] The Rationality of the Zeta Function Associated to a_0x_0^m + a_1x_1^m + ... + a_nx_n^m
[*] A Proof of the Hasse-Davenport Relation
[*] The Last Entry
[/LIST]
[*] Algebraic Number Theory
[LIST]
[*] Algebraic Preliminaries
[*] Unique Factorization in Algebraic Number Fields
[*] Ramification and Degree
[/LIST]
[LIST]
[*] Cyclotomic Fields
[/LIST]
[*] The Stickelberger Relation and the Eisenstein Reciprocity Law
[LIST]
[*] The Norm of an Ideal
[*] The Power Residue Symbol
[*] The Stickelberger Relation
[*] The Proof of the Stickelberger Relation
[*] The Proof of the Eisenstein Reciprocity Law
[*] Three Applications
[/LIST]
[*] Bernoulli Numbers
[LIST]
[*] Bernoulli Numbers; Definitions and Applications
[*] Congruences Involving Bernoulli Numbers
[*] Herbrand's Theorem
[/LIST]
[*] Dirichlet L-functions
[LIST]
[*] The Zeta Function
[*] A Special Case
[*] Dirichlet Characters
[*] Dirichlet L-functions
[*] The Key Step
[*] Evaluating L(s,\chi) at Negative Integers
[/LIST]
[*] Diophantine Equations
[LIST]
[*] Generalities and First Examples
[*] The Method of Descent
[*] Legendre's Theorem
[*] Sophie Germain's Theorem
[*] Pell's Equation
[*] Sums of Two Squares
[*] Sums of Four Squares
[*] The Fermat Equation: Exponent 3
[*] Cubic Curves with Infinitely Many Rational Points
[*] The Equation y^2 = x^3 + k
[*] The First Case of Fermat's Conjecture for Regular Exponent
[*] Diophantine Equations and Diophantine Approximation
[/LIST]
[*] Elliptic Curves
[LIST]
[*] Generalities
[*] Local and Global Zeta Functions of an Elliptic Curve
[*] y^2 = x^3 + D, the Local Case
[*] y^2 = x^3 - Dx, the Local Case
[*] Hecke L-functions
[*] y^2 = x^3 - Dx, the Global Case
[*] y^2 = x^3 + D, the Global Case
[*] Final Remarks
[/LIST]
[*] The Mordell-Weil Theorem
[LIST]
[*] The Addition Law and Several Identities
[*] The Group E/2E
[*] The Weak Dirichlet Unit Theorem
[*] The Weak Mordell-Weil Theorem
[*] The Descent Argument
[/LIST]
[*] New Progress in Arithmetic Geometry
[LIST]
[*] The Mordell Conjecture
[*] Elliptic Curves
[*] Modular Curves
[*] Heights and the Height Regulator
[*] New Results on the Birch-Swinnerton-Dyer Conjecture
[*] Applications to Gauss's Class Number Conjecture
[/LIST]
[*] Selected Hints for the Exercises
[*] Bibliography
[*] Index
[/LIST]

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Code:
[LIST]
[*] Preface
[*] Fields
[LIST]
[*] Introduction
[*] Field extensions
[*] Ruler and compass construction
[*] Foundations of Galois theory
[*] Normality and stability
[*] Splitting fields
[*] The trace and norm theorems
[*] Finite fields
[*] Simple extensions
[*] Cubic and quartic equations
[*] Separability
[*] Miscellaneous results on radical extensions
[*] Infinite algebraic extensions
[/LIST]
[*] Rings
[LIST]
[*] Introduction
[*] Primitive rings and the density theorem
[*] Semi-simple rings
[*] The Wedderburn principal theorem
[*] Theorems of Hopkins and Levitzki
[*] Primitive rings with minimal ideals and dual vector spaces
[*] Simple rings
[LIST]
[*] The enveloping ring and the centroid
[*] Tensor products
[*] Maximal subfields
[*] Polynomial identities
[*] extension of isomorphisms
[/LIST]
[/LIST]
[*] Homological Dimension
[LIST]
[*] Introduction
[*] Dimension of modules
[*] Global dimension
[*] First theorem on change of rings
[*] Polynomial rings
[*] Second theorem on change of rings
[*] Third theorem on change of rings
[*] Localization
[*] Preliminary lemmas
[*] A regular ring has finite global dimension
[*] A local ring of finite global dimension is regular
[*] lnjective modules
[*] The group of homomorphisms
[*] The vanishing of Ext
[*] lnjective dimension
[/LIST]
[*] Notes
[*] Index
[/LIST]

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## 1. What is the purpose of "The Elements of Coordinate Geometry" by Loney?

The purpose of this book is to provide a comprehensive understanding of coordinate geometry, which is a branch of mathematics that deals with the study of geometric figures using coordinates. It covers topics such as the coordinate plane, equations of lines and circles, and transformations in a clear and concise manner.

## 2. Who is the author of "The Elements of Coordinate Geometry"?

The author of this book is S.L. Loney, a renowned mathematician who has also written other popular books on mathematics such as "Plane Trigonometry" and "Differential Calculus". He was a professor at the University of Calcutta and his books are widely used by students and professionals in the field of mathematics.

## 3. Is "The Elements of Coordinate Geometry" suitable for beginners?

Yes, this book is suitable for beginners as it starts with the basics of coordinate geometry and gradually progresses to more advanced topics. It is written in a simple and easy-to-understand language, with step-by-step explanations and numerous examples to help readers grasp the concepts.

## 4. Does this book cover all the important concepts of coordinate geometry?

Yes, this book covers all the important concepts of coordinate geometry that are essential for understanding more advanced topics in mathematics. It includes topics such as distance and midpoint formula, slope of a line, equations of lines and circles, and transformations, among others.

## 5. Are there any exercises or practice problems in "The Elements of Coordinate Geometry"?

Yes, this book includes numerous exercises and practice problems at the end of each chapter to help readers reinforce their understanding of the concepts. These exercises vary in difficulty level and come with solutions, making it a great resource for self-study and practice.

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