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Advanced Calculus

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Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Book Summary:

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by John Srdjan Petrovic Book Summary:

Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. The book takes a motivating approach that makes ideas less abstract to students. It explains how various topics in calculus may seem unrelated but in reality have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems as well as help students develop the necessary skills to closely examine the theorems. Proofs are also presented in an accessible way to students. By strengthening skills gained through elementary calculus, this textbook leads students toward mastering calculus techniques. It will help them succeed in their future mathematical or engineering studies.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Wilfred Kaplan Book Summary:

The Fifth Edition of this leading text offers substantial training in vectors and matrices, vector analysis, and partial differential equations. Vectors are introduced at the outset and serve at many points to indicate geometrical and physical significance of mathematical relations. Numerical methods are touched upon at various points, because of their practical value and the insights they give about theory. KEY TOPICS: Vectors and Matrices; Differential Calculus of Functions of Several Variables; Vector Differential Calculus; Integral Calculus of Functions of Several Variables; Vector Integral Calculus; Two-Dimensional Theory; Three-Dimensional Theory and Applications; Infinite Series; Fourier Series and Orthogonal Functions; Functions of a Complex Variable; Ordinary Differential Equations; Partial Differential Equations MARKET: For all readers interested in advanced calculus.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Voxman Book Summary:

Advanced Calculus: An Introduction to Modem Analysis, an advanced undergraduate textbook,provides mathematics majors, as well as students who need mathematics in their field of study,with an introduction to the theory and applications of elementary analysis. The text presents, inan accessible form, a carefully maintained balance between abstract concepts and applied results ofsignificance that serves to bridge the gap between the two- or three-cemester calculus sequence andsenior/graduate level courses in the theory and appplications of ordinary and partial differentialequations, complex variables, numerical methods, and measure and integration theory.The book focuses on topological concepts, such as compactness, connectedness, and metric spaces,and topics from analysis including Fourier series, numerical analysis, complex integration, generalizedfunctions, and Fourier and Laplace transforms. Applications from genetics, spring systems,enzyme transfer, and a thorough introduction to the classical vibrating string, heat transfer, andbrachistochrone problems illustrate this book's usefulness to the non-mathematics major. Extensiveproblem sets found throughout the book test the student's understanding of the topics andhelp develop the student's ability to handle more abstract mathematical ideas.Advanced Calculus: An Introduction to Modem Analysis is intended for junior- and senior-levelundergraduate students in mathematics, biology, engineering, physics, and other related disciplines.An excellent textbook for a one-year course in advanced calculus, the methods employed in thistext will increase students' mathematical maturity and prepare them solidly for senior/graduatelevel topics. The wealth of materials in the text allows the instructor to select topics that are ofspecial interest to the student. A two- or three ll?lester calculus sequence is required for successfuluse of this book.

Advanced Calculus

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Advanced Calculus by Patrick Fitzpatrick Book Summary:

Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables. Special attention has been paid to the motivation for proofs. Selected topics, such as the Picard Existence Theorem for differential equations, have been included in such a way that selections may be made while preserving a fluid presentation of the essential material. Supplemented with numerous exercises, Advanced Calculus is a perfect book for undergraduate students of analysis.

A Course in Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

A Course in Advanced Calculus by Robert S. Borden Book Summary:

An excellent undergraduate text examines sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, more. Problems with tips and solutions for some.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Lynn H. Loomis,Shlomo Sternberg Book Summary:

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Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by David V. Widder Book Summary:

Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by N.A Book Summary:

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Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by R. Creighton Buck Book Summary:

Demonstrating analytical and numerical techniques for attacking problems in the application of mathematics, this well-organized, clearly written text presents the logical relationship and fundamental notations of analysis. Buck discusses analysis not solely as a tool, but as a subject in its own right. This skill-building volume familiarizes students with the language, concepts, and standard theorems of analysis, preparing them to read the mathematical literature on their own. The text revisits certain portions of elementary calculus and gives a systematic, modern approach to the differential and integral calculus of functions and transformations in several variables, including an introduction to the theory of differential forms. The material is structured to benefit those students whose interests lean toward either research in mathematics or its applications.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by G. B. Folland Book Summary:

This book presents a unified view of calculus in which theory and practice reinforces each other. It is about the theory and applications of derivatives (mostly partial), integrals, (mostly multiple or improper), and infinite series (mostly of functions rather than of numbers), at a deeper level than is found in the standard calculus books. Chapter topics cover: Setting the Stage, Differential Calculus, The Implicit Function Theorem and Its Applications, Integral Calculus, Line and Surface Integrals—Vector Analysis, Infinite Series, Functions Defined by Series and Integrals, and Fourier Series. For individuals with a sound knowledge of the mechanics of one-variable calculus and an acquaintance with linear algebra.

Advanced Calculus

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Advanced Calculus by James J. Callahan Book Summary:

With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Samuel Zaidman Book Summary:

This book is an introduction to mathematical analysis (i.e real analysis) at a fairly elementary level. A great (unusual) emphasis is given to the construction of rational and then of real numbers, using the method of equivalence classes and of Cauchy sequences. The text includes the usual presentation of: sequences of real numbers, infinite numerical series, continuous functions, derivatives and Riemann-Darboux integration. There are also two ?special? sections: on convex functions and on metric spaces, as well as an elementary appendix on Logic, Set Theory and Functions. We insist on a rigorous presentation throughout in the framework of the classical, standard, analysis.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by DEVI PRASAD Book Summary:

This concise and systematically organized textbook is meant for the undergraduate students of engineering for their courses in Engineering Mathematics. Besides, it is also useful for undergraduate and postgraduate students of mathematics. This book is divided into nine chapters; the initial chapters provide revision of fundamental concepts of functions, limits and continuity to help students grasp the idea of the derivations treated in the subsequent chapters. Rules for finding derivatives, Taylor’s and Maclaurin’s theorems and different types of indeterminate forms are thoroughly explained. Further the book covers the convergence and divergence of the series, tangents and normals, curvatures to the curves, maxima and minima of functions of more than one variables and directional derivatives. The text also deals with volume integrals, and concludes with a detailed discussion on the line integrals and surface integrals using divergence and Stokes’ theorems.

Advanced Calculus Demystified

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus Demystified by David Bachman Book Summary:

Your INTEGRAL tool for mastering ADVANCED CALCULUS Interested in going further in calculus but don't where to begin? No problem! With Advanced Calculus Demystified, there's no limit to how much you will learn. Beginning with an overview of functions of multiple variables and their graphs, this book covers the fundamentals, without spending too much time on rigorous proofs. Then you will move through more complex topics including partial derivatives, multiple integrals, parameterizations, vectors, and gradients, so you'll be able to solve difficult problems with ease. And, you can test yourself at the end of every chapter for calculated proof that you're mastering this subject, which is the gateway to many exciting areas of mathematics, science, and engineering. This fast and easy guide offers: Numerous detailed examples to illustrate basic concepts Geometric interpretations of vector operations such as div, grad, and curl Coverage of key integration theorems including Green's, Stokes', and Gauss' Quizzes at the end of each chapter to reinforce learning A time-saving approach to performing better on an exam or at work Simple enough for a beginner, but challenging enough for a more advanced student, Advanced Calculus Demystified is one book you won't want to function without!

Advanced Calculus of Several Variables

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Advanced Calculus of Several Variables by Charles Henry Edwards Book Summary:

Modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, ample attention is paid to the classical applications and computational methods. Hundreds of examples, problems and figures. 1973 edition.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Владимир Борисович Живетин Book Summary:

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Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Phil Dyke Book Summary:

This book is a student guide to the applications of differential and integral calculus to vectors. Such material is normally covered in the later years of an engineering or applied physical sciences degree course, or the first and second years of a mathematics degree course. The emphasis is on those features of the subject that will appeal to a user of mathematics, rather than the person who is concerned mainly with rigorous proofs. The aim is to assist the reader to acquire good proficiency in algebraic manipulation that can be used in critically assessing the results obtained from using graphics calculators and algebraic software packages.

Advanced Calculus

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Advanced Calculus by H.K Nickerson,D.C. Spencer,N.E. Steenrod Book Summary:

Starting with an abstract treatment of vector spaces and linear transforms, this introduction presents a corresponding theory of integration and concludes with applications to analytic functions of complex variables. 1959 edition.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Leonard F. Richardson Book Summary:

Features an introduction to advanced calculus and highlights itsinherent concepts from linear algebra Advanced Calculus reflects the unifying role of linearalgebra in an effort to smooth readers' transition to advancedmathematics. The book fosters the development of completetheorem-proving skills through abundant exercises while alsopromoting a sound approach to the study. The traditional theoremsof elementary differential and integral calculus are rigorouslyestablished, presenting the foundations of calculus in a way thatreorients thinking toward modern analysis. Following an introduction dedicated to writing proofs, the bookis divided into three parts: Part One explores foundational one-variable calculus topics fromthe viewpoint of linear spaces, norms, completeness, and linearfunctionals. Part Two covers Fourier series and Stieltjes integration, whichare advanced one-variable topics. Part Three is dedicated to multivariable advanced calculus,including inverse and implicit function theorems and Jacobiantheorems for multiple integrals. Numerous exercises guide readers through the creation of theirown proofs, and they also put newly learned methods into practice.In addition, a "Test Yourself" section at the end of each chapterconsists of short questions that reinforce the understanding ofbasic concepts and theorems. The answers to these questions andother selected exercises can be found at the end of the book alongwith an appendix that outlines key terms and symbols from settheory. Guiding readers from the study of the topology of the real lineto the beginning theorems and concepts of graduate analysis,Advanced Calculus is an ideal text for courses in advancedcalculus and introductory analysis at the upper-undergraduate andbeginning-graduate levels. It also serves as a valuable referencefor engineers, scientists, and mathematicians.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Louis Brand Book Summary:

A course in analysis that focuses on the functions of a real variable, this text introduces the basic concepts in their simplest setting and illustrates its teachings with numerous examples, theorems, and proofs. 1955 edition.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Harold M. Edwards Book Summary:

This book is a high-level introduction to vector calculus based solidly on differential forms. Informal but sophisticated, it is geometrically and physically intuitive yet mathematically rigorous. It offers remarkably diverse applications, physical and mathematical, and provides a firm foundation for further studies.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Avner Friedman Book Summary:

Intended for students who have already completed a one-year course in elementary calculus, this two-part treatment advances from functions of one variable to those of several variables. Solutions. 1971 edition.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Wilfred Kaplan Book Summary:

Download or read Advanced Calculus book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Advanced Calculus, SEA

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus, SEA by Watson Fulks Book Summary:

Introduces analysis, presenting analytical proofs backed by geometric intuition and placing minimum reliance on geometric argument. This edition separates continuity and differentiation and expands coverage of integration to include discontinuous functions. The discussion of differentiation of a vector function of a vector variable has been modernized by defining the derivative to be the Jacobian matrix; and, the general form of the chain rule is given, as is the general form of the implicit transformation theorem.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Louis Brand Book Summary:

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Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Angus Ellis Taylor Book Summary:

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Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by David V. Widder Book Summary:

Precise approach with definitions, theorems, proofs, examples and exercises. Topics include partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Numerous graded exercises with selected answers.

Advanced Calculus: Fundamentals of Mathematics

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus: Fundamentals of Mathematics by Carlos Polanco Book Summary:

Vector calculus is an essential mathematical tool for performing mathematical analysis of physical and natural phenomena. It is employed in advanced applications in the field of engineering and computer simulations. This textbook covers the fundamental requirements of vector calculus in curricula for college students in mathematics and engineering programs. Chapters start from the basics of vector algebra, real valued functions, different forms of integrals, geometric algebra and the various theorems relevant to vector calculus and differential forms. Readers will find a concise and clear study of vector calculus, along with several examples, exercises, and a case study in each chapter. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about advanced calculus as part of their college curriculum and equip themselves with the knowledge to apply theoretical concepts in practical situations.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Leonard F. Richardson Book Summary:

Advanced Calculus reflects the unifying role of linear algebra to smooth readers' transition to advanced mathematics. It fosters the development of complete theorem-proving skills through abundant exercises, for which answers are provided at the back of the book. The traditional theorems of elementary differential and integral calculus are rigorously established, presenting the foundations of calculus in a way that reorients thinking toward modern analysis.

Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Caleb Andrew Stewart Book Summary:

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Advanced Calculus

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Advanced Calculus by Hugo Rossi Book Summary:

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Advanced Calculus

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Advanced Calculus by Paul DuChateau Book Summary:

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Advanced Calculus

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Advanced Calculus by Leopold Flatto Book Summary:

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Advanced Calculus

Advanced Calculus [Pdf/ePub] eBook

Advanced Calculus by Hans Sagan Book Summary:

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