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Coordinate Geometry And Differential Calculus
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Book Synopsis Coordinate Geometry and Differential Calculus by : Kingsley Augustine
Download or read book Coordinate Geometry and Differential Calculus written by Kingsley Augustine and published by Independently Published. This book was released on 2023-12-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coordinate Geometry and Differential Calculus is a book that contains topics under coordinate geometry and differential calculus. This book serves as a useful companion for students in high schools, colleges and universities. It is a valuable textbook for students who want to write entrance test or examination into colleges and universities. This book consists of step-by-step explanation of topics presented in a way that is easy for students to understand. It contains very many worked examples and many self-assessment exercises to ensure that students get a mastery of each topic covered. The answers to the exercises are provided at the end of the book. What makes this book a unique mathematical asset, is its detailed step by step approach in explaining the topics covered in these branch of mathematics. Instead of solving questions by going straight to the point, leaving you confused and frustrated, this textbook teaches you in simple English, explaining each step taken at a time. Thus, allowing anyone, regardless of their experience in algebra and differential calculus, to understand each topic with ease, and hence make mathematics more interesting. Exercises are given at the end of each chapter for students to assess their understanding of the topics. Answers to the exercises are provided at the end of the book. This math textbook is an ideal resource for high school (secondary school), college and university students. It is also a useful book for students preparing for admission into tertiary institutions and need to take entrance tests or exams. Topics covered in this math textbook include: THE STRAIGHT LINE: CHARACTERISTICS AND EQUATION AREAS OF TRIANGLE AND QUADRILATERAL USING THE X-Y COORDINATES LOCUS OF POINTS IN THE X-Y PLANE COORDINATE GEOMETRY OF CIRCLE THE PARABOLA THE ELLIPSE THE HYPERBOLA LIMIT OF A FUNCTION DIFFERENTIATION FROM FIRST PRINCIPLE GENERAL RULE OF DIFFERENTIATION AND COMPOSITE FUNCTIONS PRODUCT RULE OF DERIVATIVE QUOTIENT RULE OF DERIVATIVE DERIVATIVE OF PARAMETRIC EQUATIONS DERIVATIVE OF IMPLICIT FUNCTIONS DERIVATIVE OF TRIGONOMETRIC FUNCTIONS DERIVATIVE OF INVERSE FUNCTIONS DERIVATIVES OF INVERSE TRIGONOMETRIC FUNCTIONS DERIVATIVES OF HYPERBOLIC FUNCTIONS DERIVATIVE OF LOGARITHMIC FUNCTIONS DERIVATIVE OF EXPONENTIAL FUNCTIONS LOGARITHMIC DIFFERENTIATION DERIVATIVE OF ONE FUNCTION WITH RESPECT TO ANOTHER HIGHER DERIVATIVES (SUCCESSIVE DIFFERENTIATION) MISCELLANEOUS PROBLEMS ON DIFFERENTIAL CALCULUS This book follows a self-guided approach which enables you to move through the material at your own pace―gradually building upon your knowledge while you strengthen your critical thinking and problem-solving skills. This textbook breaks down difficult calculations into simpler steps. It gets you rolling with all the basics you need. This worked examples-packed book on coordinate geometry and differential calculus, puts you on the fast-track to mastering problem solving skills in these areas of mathematics
Book Synopsis Analytic Geometry and the Calculus by : Adolph Winkler Goodman
Download or read book Analytic Geometry and the Calculus written by Adolph Winkler Goodman and published by MacMillan Publishing Company. This book was released on 1963 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Plane Analytic Geometry by : Maxime Bôcher
Download or read book Plane Analytic Geometry written by Maxime Bôcher and published by . This book was released on 1915 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Coordinate Geometry And Differential Calculus by : Sue Thomson
Download or read book Coordinate Geometry And Differential Calculus written by Sue Thomson and published by . This book was released on with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Calculus by : P. J. Hilton
Download or read book Differential Calculus written by P. J. Hilton and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: THIS book is intended to provide the university student in the physical sciences with information about the differential calculus which he is likely to need. The techniques described are presented with due regard for their theoretical basis; but the emphasis is on detailed discussion of the ideas of the differ ential calculus and on the avoidance of false statements rather than on complete proofs of all results. It is a frequent experi ence of the university lecturer that science students 'know how to differentiate', but are less confident when asked to say 'what ix means'. It is with the conviction that a proper understand ing of the calculus is actually useful in scientific work and not merely the preoccupation of pedantic mathematicians that this book has been written. The author wishes to thank his colleague and friend, Dr. W. Ledermann, for his invaluable suggestions during the prepara tion of this book. P. J. HILTON The University. Manchester . . . Contents PAGE Preface V CHAPTER I Introduction to Coordinate Geometry I 6 2 Rate of Change and Differentiation I. The meaning of 'rate of change' 6 2. Limits 9 3. Rules for differentiating IS 4. Formulae for differentiating 21 Exerc-bses 2 3 3 Maxima and Minima and Taylor's Theorem 34 I. Mean Value Theorem 34 2. Taylor's Theorem 41 3. Maxima and minima 45 4.
Book Synopsis A General Geometry and Calculus by : Edward Olney
Download or read book A General Geometry and Calculus written by Edward Olney and published by . This book was released on 1885 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric Approaches to Differential Equations by : Peter J. Vassiliou
Download or read book Geometric Approaches to Differential Equations written by Peter J. Vassiliou and published by Cambridge University Press. This book was released on 2000-03-13 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise and accessible introduction to the wide range of topics in geometric approaches to differential equations.
Book Synopsis The Geometry of Geodesics by : Herbert Busemann
Download or read book The Geometry of Geodesics written by Herbert Busemann and published by Courier Corporation. This book was released on 2012-07-12 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive approach to qualitative problems in intrinsic differential geometry, this text examines Desarguesian spaces, perpendiculars and parallels, covering spaces, the influence of the sign of the curvature on geodesics, more. 1955 edition. Includes 66 figures.
Book Synopsis Introduction to Differential Calculus by : Ulrich L. Rohde
Download or read book Introduction to Differential Calculus written by Ulrich L. Rohde and published by John Wiley & Sons. This book was released on 2012-01-11 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enables readers to apply the fundamentals of differential calculus to solve real-life problems in engineering and the physical sciences Introduction to Differential Calculus fully engages readers by presenting the fundamental theories and methods of differential calculus and then showcasing how the discussed concepts can be applied to real-world problems in engineering and the physical sciences. With its easy-to-follow style and accessible explanations, the book sets a solid foundation before advancing to specific calculus methods, demonstrating the connections between differential calculus theory and its applications. The first five chapters introduce underlying concepts such as algebra, geometry, coordinate geometry, and trigonometry. Subsequent chapters present a broad range of theories, methods, and applications in differential calculus, including: Concepts of function, continuity, and derivative Properties of exponential and logarithmic function Inverse trigonometric functions and their properties Derivatives of higher order Methods to find maximum and minimum values of a function Hyperbolic functions and their properties Readers are equipped with the necessary tools to quickly learn how to understand a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Differential Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals alike who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.
Book Synopsis An Introduction to Analytic Geometry and Calculus by : A. C. Burdette
Download or read book An Introduction to Analytic Geometry and Calculus written by A. C. Burdette and published by Academic Press. This book was released on 2014-05-10 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Analytic Geometry and Calculus covers the basic concepts of analytic geometry and the elementary operations of calculus. This book is composed of 14 chapters and begins with an overview of the fundamental relations of the coordinate system. The next chapters deal with the fundamentals of straight line, nonlinear equations and graphs, functions and limits, and derivatives. These topics are followed by a discussion of some applications of previously covered mathematical subjects. This text also considers the fundamentals of the integrals, trigonometric functions, exponential and logarithm functions, and methods of integration. The final chapters look into the concepts of parametric equations, polar coordinates, and infinite series. This book will prove useful to mathematicians and undergraduate and graduate mathematics students.
Book Synopsis Foundations of Differential Geodesy by : Joseph Zund
Download or read book Foundations of Differential Geodesy written by Joseph Zund and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geodesy is concerned with the geometry of the gravity field of the Earth, which is of fundamental importance to both theoretical geodesy and geophysics. This monograph presents a unified treatment of the foundations of differential geodesy as proposed originally by Antonio Marussi and Martin Hotine in their work. The principal features of the Marussi-Hotine approach to theoretical aspects are given in the first five chapters (based on leg calculus), while the last five chapters are devoted to the fundamental ideas of the Marussi and Hotine theory. The text includes practical problems and is intended for use by research geodesists, graduate students in geodesy, and theoretical geophysicists.
Book Synopsis Coordinate Geometry of Two Dimensions by : Hari Kishan
Download or read book Coordinate Geometry of Two Dimensions written by Hari Kishan and published by Atlantic Publishers & Dist. This book was released on 2006 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Present Book Coordinate Geometry Of Two Dimensions Aims At Providing The Students With A Detailed Study Of Polar Coordinates, Polar Equations Of A Straight Line And A Circle, Polar Equations Of Conics, General Equation Of Second Degree And System Of Conics The Topics Included In The Ugc Syllabus.Primarily Meant For Students Of B.Sc./B.A. Of Several Indian Universities, The Book Exactly Covers The Prescribed Syllabus. It Neither Includes The Irrelevant Nor Escapes The Essential Topics. Its Approach Is Explanatory, Lucid And Comprehensive. The Analytic Explanation Of The Subject Matter Is Very Systematic Which Would Enable The Students To Assess And Thereby Solve The Related Problems Easily. Sufficient Number Of High-Graded Solved Examples Provided In The Book Facilitate Better Understanding Of The Various Skills Necessary In Solving The Problems. In Addition, Practice Exercises Of Multiple Varieties Will Undoubtedly Prove Helpful In Quick Revision Of The Subject. The Figures And Also The Answers Provided In The Book Are Accurate And Verified Thoroughly.A Proper Study Of The Book Will Definitely Bring To Students A Brilliant Success. Even Teachers Will Find It Useful In Elucidating The Subject To The Students Of Mathematics.
Book Synopsis Applications of the Absolute Differential Calculus by : A. J. McConnell
Download or read book Applications of the Absolute Differential Calculus written by A. J. McConnell and published by Chapman Press. This book was released on 2012-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Book Synopsis Introductory Calculus by : A. Wayne Roberts
Download or read book Introductory Calculus written by A. Wayne Roberts and published by Academic Press. This book was released on 2014-05-10 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Calculus: Second Edition, with Analytic Geometry and Linear Algebra is an introductory text on calculus and includes topics related to analytic geometry and linear algebra. Functions and graphs are discussed, along with derivatives and antiderivatives, curves in the plane, infinite series, and differential equations. Comprised of 15 chapters, this book begins by considering vectors in the plane, the straight line, and conic sections. The next chapter presents some of the basic facts about functions, the formal definition of a function, and the notion of a graph of a function. Subsequent chapters examine the derivative as a linear transformation; higher derivatives and the mean value theorem; applications of graphs; and the definite integral. Transcendental functions and how to find an antiderivative are also discussed, together with the use of parametric equations to determine the curve in a plane; how to solve linear equations; functions of several variables and the derivative and integration of these functions; and problems that lead to differential equations. This monograph is intended for students taking a two- or three-semester course in introductory calculus.
Book Synopsis Basic Concepts of Synthetic Differential Geometry by : R. Lavendhomme
Download or read book Basic Concepts of Synthetic Differential Geometry written by R. Lavendhomme and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis An Introduction to Differential Geometry - With the Use of Tensor Calculus by : Luther Pfahler Eisenhart
Download or read book An Introduction to Differential Geometry - With the Use of Tensor Calculus written by Luther Pfahler Eisenhart and published by Maugham Press. This book was released on 2008-11 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: AN INTRODUCTION TO DIFFERENTIAL GEOMETRY WITH USE OF THE TENSOR CALCULUS By LUTHER PFAHLER EISENHART. Preface: Since 1909, when my Differential Geometry of Curves and Surfaces was published, the tensor calculus, which had previously been invented by Ricci, was adopted by Einstein in his General Theory of Relativity, and has been developed further in the study of Riemannian Geometry and various generalizations of the latter. In the present book the tensor calculus of cuclidean 3-space is developed and then generalized so as to apply to a Riemannian space of any number of dimensions. The tensor calculus as here developed is applied in Chapters III and IV to the study of differential geometry of surfaces in 3-space, the material treated being equivalent to what appears in general in the first eight chapters of my former book with such additions as follow from the introduction of the concept of parallelism of Levi-Civita and the content of the tensor calculus. LUTHER PFAHLER EISENHART. Contents include: CHAPTER I CURVES IN SPACE SECTION PAGE 1. Curves ami surfaces. The summation convention 1 2. Length of a curve. Linear element, 8 3. Tangent to a curve. Order of contact. Osculating plane 11 4. Curvature. Principal normal. Circle of curvature 16 5. TBi normal. Torsion 19 6r The Frenet Formulas. The form of a curve in the neighborhood of a point 25 7. Intrinsic equations of a curve 31 8. Involutes and evolutes of a curve 34 9. The tangent surface of a curve. The polar surface. Osculating sphere. . 38 10. Parametric equations of a surface. Coordinates and coordinate curves trT a surface 44 11. 1 Tangent plane to a surface 50 tSffDovelopable surfaces. Envelope of a one-parameter family of surfaces. . 53 CHAPTER II TRANSFORMATION OF COORDINATES. TENSOR CALCULUS 13. Transformation of coordinates. Curvilinear coordinates 63 14. The fundamental quadratic form of space 70 15. Contravariant vectors. Scalars 74 16. Length of a contravariant vector. Angle between two vectors 80 17. Covariant vectors. Contravariant and covariant components of a vector 83 18. Tensors. Symmetric and skew symmetric tensors 89 19. Addition, subtraction and multiplication of tensors. Contraction.... 94 20. The Christoffel symbols. The Riemann tensor 98 21. The Frenet formulas in general coordinates 103 22. Covariant differentiation 107 23. Systems of partial differential equations of the first order. Mixed systems 114 CHAPTER III INTRINSIC GEOMETRY OF A SURFACE 24. Linear element of a surface. First fundamental quadratic form of a surface. Vectors in a surface 123 25. Angle of two intersecting curves in a surface. Element of area 129 26. Families of curves in a surface. Principal directions 138 27. The intrinsic geometry of a surface. Isometric surfaces 146 28. The Christoffel symbols for a surface. The Riemannian curvature tensor. The Gaussian curvature of a surface 149 29. Differential parameters 155 30. Isometric orthogonal nets. Isometric coordinates 161 31...
Book Synopsis A General Geometry and Calculus: Including Book I, of the General Geometry, Treating of Loci in a Plane; And an Elementary Course in the Differential and Integral calculus by : Edward Olney
Download or read book A General Geometry and Calculus: Including Book I, of the General Geometry, Treating of Loci in a Plane; And an Elementary Course in the Differential and Integral calculus written by Edward Olney and published by BoD – Books on Demand. This book was released on 2024-02-25 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1881.
