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A Tour of the Calculus

by David Berlinski ...

Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this ... Read more

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Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this
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Schaum's 3,000 Solved Problems in Calculus

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Measurement

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Calculus: A Complete Introduction

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Framing Algebraic Equations by Using the Given Data

by Homework Help Classof1 ...

"a. Sammy superstar earns an annual salary of $2 million. In addition, he receives a bonus of $50,000 for each grand‐slam home run that he hits during a season. Find an equation that gives S, his annual salary, as a function of h, the number if grand‐slam home runs he hits. b. The owner of a small restaurant has a new refrigeration system that costs $6000 installed. If the salvage value at the ... Read more

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"a. Sammy superstar earns an annual salary of $2 million. In addition, he receives a bonus of $50,000 for each grand‐slam home run that he hits during a season. Find an equation that gives S, his annual salary, as a function of h, the number if grand‐slam home runs he hits. b. The owner of a small restaurant has a new refrigeration system that costs $6000 installed. If the salvage value at the
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Inequalities

by G. H. Hardy, J. E. Littlewood, G. Pólya ...

Series series Cambridge Mathematical Library
This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject accessible to a wide audience of ... Read more

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This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject accessible to a wide audience of
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Convexity

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Series Book 187 - Cambridge Tracts in Mathematics
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Convexity is important in theoretical aspects of mathematics and also for economists and physicists. In this monograph the author provides a comprehensive insight into convex sets and functions including the infinite-dimensional case and emphasizing the analytic point of view. Chapter one introduces the reader to the basic definitions and ideas that play central roles throughout the book. The rest
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Series Book 21 - New Mathematical Monographs
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An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces,
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Problems And Solutions In Introductory And Advanced Matrix Calculus (Second Edition)

by Yorick Hardy, Willi-hans Steeb ...

This book provides an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus. Supplementary problems in each chapter will challenge and excite the reader, ideal for both graduate and undergraduate mathematics and theoretical physics students. The coverage includes systems of linear equations, linear differential equations, integration and matrices, ... Read more

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This book provides an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus. Supplementary problems in each chapter will challenge and excite the reader, ideal for both graduate and undergraduate mathematics and theoretical physics students. The coverage includes systems of linear equations, linear differential equations, integration and matrices,
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Cálculo Seguimental

by Leandro Bertoldo ...

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O original conceito de seguimental é tremendamente simples, todavia tem se mostrado extremamente operador, como facilmente se poderá verificar nas aplicações feitas na presente obra.Neste livro o autor procurou desenvolver sua tese inovadora utilizando-se do cálculo das combinações, dos arranjos, e ao final faz uma série de aplicações de sua ideia fundamental. O texto da obra ainda é enriquecido
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Spectral Theory and its Applications

by Bernard Helffer ...

Series Book 139 - Cambridge Studies in Advanced Mathematics
Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra. The author's ... Read more

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Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra. The author's
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Static Green's Functions in Anisotropic Media

by Ernian Pan, Weiqiu Chen ...

This book presents basic theory on static Green's functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. Green's functions corresponding to the reduced cases are also presented including those in anisotropic and transversely isotropic piezoelectric and piezomagnetic media, and in ... Read more

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This book presents basic theory on static Green's functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. Green's functions corresponding to the reduced cases are also presented including those in anisotropic and transversely isotropic piezoelectric and piezomagnetic media, and in
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by Yuen-Kwok Chan ...

Series Book 177 - Encyclopedia of Mathematics and its Applications
Using Bishop's work on constructive analysis as a framework, this monograph gives a systematic, detailed and general constructive theory of probability theory and stochastic processes. It is the first extended account of this theory: almost all of the constructive existence and continuity theorems that permeate the book are original. It also contains results and methods hitherto unknown in the ... Read more

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Using Bishop's work on constructive analysis as a framework, this monograph gives a systematic, detailed and general constructive theory of probability theory and stochastic processes. It is the first extended account of this theory: almost all of the constructive existence and continuity theorems that permeate the book are original. It also contains results and methods hitherto unknown in the
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Probability theory has been extraordinarily successful at describing a variety of phenomena, from the behaviour of gases to the transmission of messages, and is, besides, a powerful tool with applications throughout mathematics. At its heart are a number of concepts familiar in one guise or another to many: Gauss' bell-shaped curve, the law of averages, and so on, concepts that crop up in so many
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Guide to the Umbral Calculus

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This book covers different aspects of umbral calculus and of its more recent developments. It discusses the technical details in depth, including its relevant applications. The book has therefore manyfold scopes to introduce a mathematical tool, not widespread known as it should be; to present a complete account of the relevant capabilities through the use of different examples of applications; to ... Read more

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This book covers different aspects of umbral calculus and of its more recent developments. It discusses the technical details in depth, including its relevant applications. The book has therefore manyfold scopes to introduce a mathematical tool, not widespread known as it should be; to present a complete account of the relevant capabilities through the use of different examples of applications; to
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Algebraic Expansion and Finding the Missing Coefficient.

by Homework Help Classof1 ...

Find the coefficient of (a^6)(b^2) in the expression (a^2 - 2^b)^9. ... Read more

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Find the coefficient of (a^6)(b^2) in the expression (a^2 - 2^b)^9.
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Topics in Fixed Point Theory

Edited by Saleh Almezel, Qamrul Hasan Ansari, Mohamed Amine Khamsi ...

The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as ... Read more

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The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as
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The System of the World

by Isaac Newton ...

The System of the World by Isaac Newton. Sir Isaac Newton (1642–1727) was an English physicist and mathematician who is widely recognised as one of the most influential scientists of all time and as a key figure in the scientific revolution.This great work supplied the momentum for the Scientific Revolution and dominated physics for over 200 years.It was the ancient opinion of not a few, in the ... Read more

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The System of the World by Isaac Newton. Sir Isaac Newton (1642–1727) was an English physicist and mathematician who is widely recognised as one of the most influential scientists of all time and as a key figure in the scientific revolution.This great work supplied the momentum for the Scientific Revolution and dominated physics for over 200 years.It was the ancient opinion of not a few, in the
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A SCRAP-BOOK OF ELEMENTARY MATHEMATICS

by William F. White, Ph.D. ...

Mathematics is the language of definiteness, the necessary vocabulary of those who know, hence the intimate connection between mathematics and science.The tendency to select the problems and illustrations of mathematics mostly from the scientific, commercial and industrial activities of to-day, is one with which the writer is in accord. It may seem that in the following pages puzzles have too ... Read more

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Mathematics is the language of definiteness, the necessary vocabulary of those who know, hence the intimate connection between mathematics and science.The tendency to select the problems and illustrations of mathematics mostly from the scientific, commercial and industrial activities of to-day, is one with which the writer is in accord. It may seem that in the following pages puzzles have too
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Infinitesimalrechnung

Analysis mit hyperreellen Zahlen

by Peter Baumann, Thomas Kirski ...

In diesem Buch erfahren Sie, wie die Differential- und Integralrechnung schon nach einem einfachen Einstieg mit Hilfe infinitesimaler und infiniter Zahlen und ohne Grenzwertprozesse erlernt werden kann. Sie folgen dabei den intuitiven Vorstellungen der Urväter der Analysis, allerdings in logisch einwandfreier Weise.Dies ist möglich, seit Abraham Robinson in den 1960er Jahren gezeigt hat, dass die ... Read more

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In diesem Buch erfahren Sie, wie die Differential- und Integralrechnung schon nach einem einfachen Einstieg mit Hilfe infinitesimaler und infiniter Zahlen und ohne Grenzwertprozesse erlernt werden kann. Sie folgen dabei den intuitiven Vorstellungen der Urväter der Analysis, allerdings in logisch einwandfreier Weise.Dies ist möglich, seit Abraham Robinson in den 1960er Jahren gezeigt hat, dass die
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Время переменных: Математический анализ в безумном мире

by Бен Орлин ...

Translated by Виктория Краснянская ...

«Время переменных» — веселая книга о математике вокруг нас. Двадцать восемь увлекательных рассказов, посвященных разным аспектам математики, сопровождаются забавными авторскими рисунками. Математический анализ для Орлина — это универсальный язык, способный выразить все, с чем мы сталкиваемся каждый день, — любовь, риск, время и, самое главное, постоянные изменения. Тема движения времени находит ... Read more

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«Время переменных» — веселая книга о математике вокруг нас. Двадцать восемь увлекательных рассказов, посвященных разным аспектам математики, сопровождаются забавными авторскими рисунками. Математический анализ для Орлина — это универсальный язык, способный выразить все, с чем мы сталкиваемся каждый день, — любовь, риск, время и, самое главное, постоянные изменения. Тема движения времени находит
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A Course of Modern Analysis

by E. T. Whittaker, G. N. Watson ...

Series series Cambridge Mathematical Library
This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions. ... Read more

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This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions.
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Basic Real Analysis

by Houshang H. Sohrab ...

This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language.The textis a comprehensive and largely self-contained introduction to the theory of real-valued functions of a real variable. The chapters on Lebesgue measure and integral have been rewritten ... Read more

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This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language.The textis a comprehensive and largely self-contained introduction to the theory of real-valued functions of a real variable. The chapters on Lebesgue measure and integral have been rewritten
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A Relatively Painless Guide to Special Relativity

by Dave Goldberg ...

Serious and accessible—finally the special relativity course book that both physics majors and lifelong learners deserve.Special relativity challenges one’s physical intuition of space, time, matter, and energy in a way that few other topics in physics do. Yet the subject is often treated as an extra in undergraduate courses—something to be picked up in a few random lectures and presented as a ... Read more

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Serious and accessible—finally the special relativity course book that both physics majors and lifelong learners deserve.Special relativity challenges one’s physical intuition of space, time, matter, and energy in a way that few other topics in physics do. Yet the subject is often treated as an extra in undergraduate courses—something to be picked up in a few random lectures and presented as a
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Recommended For You

Calculus eBooks

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Measurement

Calculus: A Complete Introduction

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Inequalities

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The Theory of H(b) Spaces: Volume 2

Problems And Solutions In Introductory And Advanced Matrix Calculus (Second Edition)

Cálculo Seguimental

Spectral Theory and its Applications

Static Green's Functions in Anisotropic Media

Foundations of Constructive Probability Theory

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Guide to the Umbral Calculus

Algebraic Expansion and Finding the Missing Coefficient.

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The System of the World

A SCRAP-BOOK OF ELEMENTARY MATHEMATICS

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