Elementary Functions And Analytic Geometry

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Elementary Functions and Analytic Geometry

Author : Harley Flanders
Publisher : Elsevier
ISBN 13 : 148327196X
Total Pages : 403 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Elementary Functions and Analytic Geometry by : Harley Flanders

Download or read book Elementary Functions and Analytic Geometry written by Harley Flanders and published by Elsevier. This book was released on 2014-05-10 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Functions and Analytic Geometry is an introduction to college mathematics, with emphasis on elementary functions and analytic geometry. It aims to provide a working knowledge of basic functions (polynomial, rational, exponential, logarithmic, and trigonometric); graphing techniques and the numerical aspects and applications of functions; two- and three-dimensional vector methods; and complex numbers, mathematical induction, and the binomial theorem. Comprised of 13 chapters, this book begins with a discussion on functions and graphs, paying particular attention to quantities measured in the real number system. The next chapter deals with linear and quadratic functions as well as some of their applications. Tips on graphing are offered. Subsequent chapters focus on polynomial functions, along with graphs of factored polynomials; rational functions; exponential and logarithm functions; and trigonometric functions. Identities and inverse functions, vectors, and trigonometry are also explored, together with complex numbers and solid analytic geometry. The book concludes by considering mathematical induction, binomial coefficients, and the binomial theorem. This monograph will be a useful resource for undergraduate students of mathematics and algebra.

Elementary Theory of Analytic Functions of One or Several Complex Variables

Author : Henri Cartan
Publisher : Courier Corporation
ISBN 13 : 0486318672
Total Pages : 242 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Elementary Theory of Analytic Functions of One or Several Complex Variables by : Henri Cartan

Download or read book Elementary Theory of Analytic Functions of One or Several Complex Variables written by Henri Cartan and published by Courier Corporation. This book was released on 2013-04-22 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.

Calculus; Analytic Geometry, Elementary Functions

Author : Merrill E. Shanks
Publisher : Holt McDougal
ISBN 13 :
Total Pages : 774 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Calculus; Analytic Geometry, Elementary Functions by : Merrill E. Shanks

Download or read book Calculus; Analytic Geometry, Elementary Functions written by Merrill E. Shanks and published by Holt McDougal. This book was released on 1973 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Analytic Geometry and Calculus

Author : A. C. Burdette
Publisher : Academic Press
ISBN 13 : 1483265226
Total Pages : 425 pages
Book Rating : 4.4/5 (832 download)

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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.

What is Mathematics?

Author : Richard Courant
Publisher :
ISBN 13 : 9780195105193
Total Pages : 596 pages
Book Rating : 4.1/5 (51 download)

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Book Synopsis What is Mathematics? by : Richard Courant

Download or read book What is Mathematics? written by Richard Courant and published by . This book was released on 1996 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.

Elementary Functional Analysis

Author : Georgi E. Shilov
Publisher : Courier Corporation
ISBN 13 : 0486318680
Total Pages : 354 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Elementary Functional Analysis by : Georgi E. Shilov

Download or read book Elementary Functional Analysis written by Georgi E. Shilov and published by Courier Corporation. This book was released on 2013-04-15 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.

Introduction to Complex Analytic Geometry

Author : Stanislaw Lojasiewicz
Publisher : Birkhäuser
ISBN 13 : 3034876173
Total Pages : 535 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Introduction to Complex Analytic Geometry by : Stanislaw Lojasiewicz

Download or read book Introduction to Complex Analytic Geometry written by Stanislaw Lojasiewicz and published by Birkhäuser. This book was released on 2013-03-09 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: facts. An elementary acquaintance with topology, algebra, and analysis (in cluding the notion of a manifold) is sufficient as far as the understanding of this book is concerned. All the necessary properties and theorems have been gathered in the preliminary chapters -either with proofs or with references to standard and elementary textbooks. The first chapter of the book is devoted to a study of the rings Oa of holomorphic functions. The notions of analytic sets and germs are introduced in the second chapter. Its aim is to present elementary properties of these objects, also in connection with ideals of the rings Oa. The case of principal germs (§5) and one-dimensional germs (Puiseux theorem, §6) are treated separately. The main step towards understanding of the local structure of analytic sets is Ruckert's descriptive lemma proved in Chapter III. Among its conse quences is the important Hilbert Nullstellensatz (§4). In the fourth chapter, a study of local structure (normal triples, § 1) is followed by an exposition of the basic properties of analytic sets. The latter includes theorems on the set of singular points, irreducibility, and decom position into irreducible branches (§2). The role played by the ring 0 A of an analytic germ is shown (§4). Then, the Remmert-Stein theorem on re movable singularities is proved (§6). The last part of the chapter deals with analytically constructible sets (§7).

Elementary Functions

Author : Gus Klentos
Publisher : Merrill Publishing Company
ISBN 13 : 9780675088275
Total Pages : 439 pages
Book Rating : 4.0/5 (882 download)

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Book Synopsis Elementary Functions by : Gus Klentos

Download or read book Elementary Functions written by Gus Klentos and published by Merrill Publishing Company. This book was released on 1975 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Calculus

Author : H. Jerome Keisler
Publisher :
ISBN 13 :
Total Pages : 968 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Elementary Calculus by : H. Jerome Keisler

Download or read book Elementary Calculus written by H. Jerome Keisler and published by . This book was released on 1976 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Analysis

Author : Theodore W. Gamelin
Publisher : Springer Science & Business Media
ISBN 13 : 0387216073
Total Pages : 508 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Complex Analysis by : Theodore W. Gamelin

Download or read book Complex Analysis written by Theodore W. Gamelin and published by Springer Science & Business Media. This book was released on 2013-11-01 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.

Calculus with Analytic Geometry

Author : Richard H. Crowell
Publisher : W W Norton & Company Incorporated
ISBN 13 : 9780393097825
Total Pages : 727 pages
Book Rating : 4.0/5 (978 download)

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Book Synopsis Calculus with Analytic Geometry by : Richard H. Crowell

Download or read book Calculus with Analytic Geometry written by Richard H. Crowell and published by W W Norton & Company Incorporated. This book was released on 1968 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces and develops the differential and integral calculus of functions of one variable.

Exploring Analytic Geometry with Mathematica

Author : Donald L. Vossler
Publisher : Academic Press
ISBN 13 : 9780127282558
Total Pages : 865 pages
Book Rating : 4.2/5 (825 download)

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Book Synopsis Exploring Analytic Geometry with Mathematica by : Donald L. Vossler

Download or read book Exploring Analytic Geometry with Mathematica written by Donald L. Vossler and published by Academic Press. This book was released on 2000 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of two-dimensional analytic geometry has gone in and out of fashion several times over the past century, however this classic field of mathematics has once again become popular due to the growing power of personal computers and the availability of powerful mathematical software systems, such as Mathematica, that can provide an interactive environment for studying the field. By combining the power of Mathematica with an analytic geometry software system called Descarta2D, the author has succeeded in meshing an ancient field of study with modern computational tools, the result being a simple, yet powerful, approach to studying analytic geometry. Students, engineers and mathematicians alike who are interested in analytic geometry can use this book and software for the study, research or just plain enjoyment of analytic geometry. Mathematica provides an attractive environment for studying analytic geometry. Mathematica supports both numeric and symbolic computations meaning that geometry problems can be solved for special cases using numbers, as well as general cases producing formulas. Mathematica also has good facilities for producing graphical plots which are useful for visualizing the graphs of two-dimensional geometry. * A classic study in analytic geometry, complete with in-line Mathematica dialogs illustrating every concept as it is introduced * Excellent theoretical presentation *Fully explained examples of all key concepts * Interactive Mathematica notebooks for the entire book * Provides a complete computer-based environment for study of analytic geometry * All chapters and reference material are provided on CD-ROM in addition to being printedin the book * Complete software system: Descarta2D * A software system, including source code, for the underlying computer implementation, called Descarta2D is provided * Part VII of the book is a listing of the (30) Mathematica files supporting Descarta2D; the source code is also supplied on CD-ROM * Explorations * More than 120 challenging problems in analytic geometry are posed; Complete solutions are provided both as interactive Mathematica notebooks on CD-ROM and as printed material in the book * Mathematica and Descarta2D Hints expand the reader's knowledge and understanding of Descarta2D and Mathematica * Sortware developed with Mathematica 3.0 and is compatible with Mathematica 4.0 * Detailed reference manual * Complete documentation for Descarta2D * Fully integrated into the Mathematica Help Browser

Convex Functions and Their Applications

Author : Constantin P. Niculescu
Publisher : Springer
ISBN 13 : 3319783378
Total Pages : 430 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Convex Functions and Their Applications by : Constantin P. Niculescu

Download or read book Convex Functions and Their Applications written by Constantin P. Niculescu and published by Springer. This book was released on 2018-06-08 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thorough introduction to an important area of mathematics Contains recent results Includes many exercises

Elliptic Curves, Modular Forms, and Their L-functions

Author : Álvaro Lozano-Robledo
Publisher : American Mathematical Soc.
ISBN 13 : 0821852426
Total Pages : 217 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Elliptic Curves, Modular Forms, and Their L-functions by : Álvaro Lozano-Robledo

Download or read book Elliptic Curves, Modular Forms, and Their L-functions written by Álvaro Lozano-Robledo and published by American Mathematical Soc.. This book was released on 2011 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in number theory have simple statements, but their solutions require a deep understanding of algebra, algebraic geometry, complex analysis, group representations, or a combination of all four. The original simply stated problem can be obscured in the depth of the theory developed to understand it. This book is an introduction to some of these problems, and an overview of the theories used nowadays to attack them, presented so that the number theory is always at the forefront of the discussion. Lozano-Robledo gives an introductory survey of elliptic curves, modular forms, and $L$-functions. His main goal is to provide the reader with the big picture of the surprising connections among these three families of mathematical objects and their meaning for number theory. As a case in point, Lozano-Robledo explains the modularity theorem and its famous consequence, Fermat's Last Theorem. He also discusses the Birch and Swinnerton-Dyer Conjecture and other modern conjectures. The book begins with some motivating problems and includes numerous concrete examples throughout the text, often involving actual numbers, such as 3, 4, 5, $\frac{3344161}{747348}$, and $\frac{2244035177043369699245575130906674863160948472041} {8912332268928859588025535178967163570016480830}$. The theories of elliptic curves, modular forms, and $L$-functions are too vast to be covered in a single volume, and their proofs are outside the scope of the undergraduate curriculum. However, the primary objects of study, the statements of the main theorems, and their corollaries are within the grasp of advanced undergraduates. This book concentrates on motivating the definitions, explaining the statements of the theorems and conjectures, making connections, and providing lots of examples, rather than dwelling on the hard proofs. The book succeeds if, after reading the text, students feel compelled to study elliptic curves and modular forms in all their glory.

A Vector Space Approach to Geometry

Author : Melvin Hausner
Publisher : Courier Dover Publications
ISBN 13 : 0486835391
Total Pages : 417 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis A Vector Space Approach to Geometry by : Melvin Hausner

Download or read book A Vector Space Approach to Geometry written by Melvin Hausner and published by Courier Dover Publications. This book was released on 2018-10-17 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating exploration of the correlation between geometry and linear algebra, this text also offers elementary explanations of the role of geometry in other branches of math and science. 1965 edition.

Elementary Functions

Author : Kenneth E. Iverson
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Elementary Functions by : Kenneth E. Iverson

Download or read book Elementary Functions written by Kenneth E. Iverson and published by . This book was released on 1966 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Theory of L-functions and Eisenstein Series

Author : Haruzo Hida
Publisher : Cambridge University Press
ISBN 13 : 9780521435697
Total Pages : 404 pages
Book Rating : 4.4/5 (356 download)

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Book Synopsis Elementary Theory of L-functions and Eisenstein Series by : Haruzo Hida

Download or read book Elementary Theory of L-functions and Eisenstein Series written by Haruzo Hida and published by Cambridge University Press. This book was released on 1993-02-11 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise, and the subject is approached using only basic tools from complex analysis and cohomology theory. Graduate students wishing to know more about L-functions will find that this book offers a unique introduction to this fascinating branch of mathematics.