The Integration of Functions of a Single Variable
Author: Godfrey Harold Hardy
Publisher:
Published: 1905
Total Pages: 76
ISBN-13:
DOWNLOAD EBOOKPosts
Real Functions in One Variable - Integrals...
Author:
Publisher: Bookboon
Published:
Total Pages: 154
ISBN-13: 8776812383
DOWNLOAD EBOOKCalculus
Author: Stanley I. Grossman
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 1177
ISBN-13: 148326243X
DOWNLOAD EBOOKCalculus, Second Edition discusses the techniques and theorems of calculus. This edition introduces the sine and cosine functions, distributes ?-? material over several chapters, and includes a detailed account of analytic geometry and vector analysis. This book also discusses the equation of a straight line, trigonometric limit, derivative of a power function, mean value theorem, and fundamental theorems of calculus. The exponential and logarithmic functions, inverse trigonometric functions, linear and quadratic denominators, and centroid of a plane region are likewise elaborated. Other topics include the sequences of real numbers, dot product, arc length as a parameter, quadric surfaces, higher-order partial derivatives, and Green's theorem in the plane. This publication is a good source for students learning calculus.
Real Analysis
Author: Miklós Laczkovich
Publisher: Springer
Published: 2015-10-08
Total Pages: 486
ISBN-13: 1493927663
DOWNLOAD EBOOKBased on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated. In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. The wealth of material, and modular organization, of the book make it adaptable as a textbook for courses of various levels; the hints and solutions provided for the more challenging exercises make it ideal for independent study.
Derivatives and Integrals of Multivariable Functions
Author: Alberto Guzman
Publisher: Springer Science & Business Media
Published: 2003-08-22
Total Pages: 346
ISBN-13: 9780817642747
DOWNLOAD EBOOKThis work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the author’s previous text, "Continuous Functions of Vector Variables": specifically, elementary results from single-variable calculus are extended to functions in several-variable Euclidean space. Topics encompass differentiability, partial derivatives, directional derivatives and the gradient; curves, surfaces, and vector fields; the inverse and implicit function theorems; integrability and properties of integrals; and the theorems of Fubini, Stokes, and Gauss. Prerequisites include background in linear algebra, one-variable calculus, and some acquaintance with continuous functions and the topology of the real line. Written in a definition-theorem-proof format, the book is replete with historical comments, questions, and discussions about strategy, difficulties, and alternate paths. "Derivatives and Integrals of Multivariable Functions" is a rigorous introduction to multivariable calculus that will help students build a foundation for further explorations in analysis and differential geometry.
Derivatives and Integrals of Multivariable Functions
Author: Alberto Guzman
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 327
ISBN-13: 1461200350
DOWNLOAD EBOOKThis work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the author’s previous text, "Continuous Functions of Vector Variables": specifically, elementary results from single-variable calculus are extended to functions in several-variable Euclidean space. Topics encompass differentiability, partial derivatives, directional derivatives and the gradient; curves, surfaces, and vector fields; the inverse and implicit function theorems; integrability and properties of integrals; and the theorems of Fubini, Stokes, and Gauss. Prerequisites include background in linear algebra, one-variable calculus, and some acquaintance with continuous functions and the topology of the real line. Written in a definition-theorem-proof format, the book is replete with historical comments, questions, and discussions about strategy, difficulties, and alternate paths. "Derivatives and Integrals of Multivariable Functions" is a rigorous introduction to multivariable calculus that will help students build a foundation for further explorations in analysis and differential geometry.
Functions of a Real Variable
Author: N. Bourbaki
Publisher: Springer Science & Business Media
Published: 2013-12-01
Total Pages: 343
ISBN-13: 3642593151
DOWNLOAD EBOOKThis is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.
Introduction to Real Analysis
Author: William F. Trench
Publisher: Prentice Hall
Published: 2003
Total Pages: 0
ISBN-13: 9780130457868
DOWNLOAD EBOOKUsing an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. The real number system. Differential calculus of functions of one variable. Riemann integral functions of one variable. Integral calculus of real-valued functions. Metric Spaces. For those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.
Real Functions in One Variable
Author:
Publisher: Bookboon
Published:
Total Pages: 146
ISBN-13: 8776811174
DOWNLOAD EBOOKThe Integration of Functions of a Single Variable
Author: Godfrey Harold Hardy
Publisher:
Published: 1928
Total Pages: 88
ISBN-13:
DOWNLOAD EBOOKThe Integration of Functions of a Single Variable by Godfrey Hardy Harold, first published in 1916, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it.
