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Infinite Powers

How Calculus Reveals the Secrets of the Universe

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From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing popular science explanation of calculus—how it works and why it makes our lives immeasurably better.Without calculus, we wouldn’t have cell phones, TV, GPS, or ultrasound. We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket.Though many of us were ... Read more

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From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing popular science explanation of calculus—how it works and why it makes our lives immeasurably better.Without calculus, we wouldn’t have cell phones, TV, GPS, or ultrasound. We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket.Though many of us were
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Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer.This major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made ... Read more

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Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer.This major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made
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Math for Deep Learning

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Math for Deep Learning provides the essential math you need to understand deep learning discussions, explore more complex implementations, and better use the deep learning toolkits.With Math for Deep Learning, you'll learn the essential mathematics used by and as a background for deep learning.You’ll work through Python examples to learn key deep learning related topics in probability, statistics, ... Read more

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Differential Calculus

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by Veselin Jungić, Petra Menz, Randall Pyke ...

This volume contains more than 900 problems in differential calculus, covering limits, continuity, derivatives, and their applications. The applications are comprised of a variety of approximations, growth and decay, optimization, curve sketching techniques, and analytical tools to investigate properties of parametrically given planar curves. The problems are sorted by topic, each opening with ... Read more

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This volume contains more than 900 problems in differential calculus, covering limits, continuity, derivatives, and their applications. The applications are comprised of a variety of approximations, growth and decay, optimization, curve sketching techniques, and analytical tools to investigate properties of parametrically given planar curves. The problems are sorted by topic, each opening with
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Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

by Vesna Todorčević ...

The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains. The classes of quasiconformal and quasiregular mappings are well established areas of study in this field as these classes are natural and fruitful generalizations of the class of analytic functions in the planar ... Read more

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The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains. The classes of quasiconformal and quasiregular mappings are well established areas of study in this field as these classes are natural and fruitful generalizations of the class of analytic functions in the planar
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Fundamentals of Multivariable Calculus

by Leonid P Lebedev, Michael J Cloud ...

This textbook is carefully designed as an early undergraduate introduction to the calculus of several real variables. The balanced coverage is devoted to limits, continuity, partial derivatives, extrema, the nabla operator, multiple integrals, line integrals, surface integrals, and the fundamental theorems of vector calculus.Engaging and accessible with detailed diagrams and copious worked ... Read more

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This textbook is carefully designed as an early undergraduate introduction to the calculus of several real variables. The balanced coverage is devoted to limits, continuity, partial derivatives, extrema, the nabla operator, multiple integrals, line integrals, surface integrals, and the fundamental theorems of vector calculus.Engaging and accessible with detailed diagrams and copious worked
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Singular Integrals and Fourier Theory on Lipschitz Boundaries

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The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the 1980s. The subject of singular integrals and the related Fourier multipliers on Lipschitz curves and surfaces has an extensive background in harmonic analysis and partial differential ... Read more

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The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the 1980s. The subject of singular integrals and the related Fourier multipliers on Lipschitz curves and surfaces has an extensive background in harmonic analysis and partial differential
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Mathematical Modelling

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by Anatoliy A Martynyuk, Bogusław Radziszewski ...

Series Book 93 - Series on Advances in Mathematics for Applied Sciences
This is the first book on the problems of mathematical modelling that combines a generalised approach to the problem of mathematical modelling processes and phenomena in the real world with developing modelling methods in relation to specific objects and processes. Some of the problems discussed here include the stability and bifurcation of simplified models of supply and demand, and resultants of ... Read more

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This is the first book on the problems of mathematical modelling that combines a generalised approach to the problem of mathematical modelling processes and phenomena in the real world with developing modelling methods in relation to specific objects and processes. Some of the problems discussed here include the stability and bifurcation of simplified models of supply and demand, and resultants of
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Frontiers in Analysis and Probability

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The volume presents extensive research devoted to a broad spectrum of mathematical analysis and probability theory. Subjects discussed in this Work are those treated in the so-called Strasbourg–Zürich Meetings. These meetings occur twice yearly in each of the cities, Strasbourg and Zürich, venues of vibrant mathematical communication and worldwide gatherings. The topical scope of the book includes ... Read more

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The volume presents extensive research devoted to a broad spectrum of mathematical analysis and probability theory. Subjects discussed in this Work are those treated in the so-called Strasbourg–Zürich Meetings. These meetings occur twice yearly in each of the cities, Strasbourg and Zürich, venues of vibrant mathematical communication and worldwide gatherings. The topical scope of the book includes
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Analysis at Large

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Elementary Calculus

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This book introduces calculus in manner that is easy to understand. The text is written to help students learn and retain difficult concepts. I have provided careful explanations of concepts. The examples in this book are easy to follow. The clarity of the text makes the book easy for self-study.
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100 Ejercicios Resueltos: División de Números con Signo

100 Ejercicios Resueltos – Serie de Práctica Matemática, #3

by BELAID OUHARROU ALRAIS ...

Series Book 3 - 100 Ejercicios Resueltos – Serie de Práctica Matemática
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Domina la división de números con signo – ¡A base de práctica, no teoría!¿Te cuesta dividir números positivos y negativos? ¡No estás solo! Este libro está diseñado especialmente para ayudarte a dominar las operaciones con signos de una forma sencilla, clara y directa — todo con práctica, y sin nada de teoría aburrida.Con 100 ejercicios paso a paso, vas a aprender a dividir, multiplicar, sumar y
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100 Exercícios Resolvidos: Adição e Subtração de Números com Sinal

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Table of Integrals, Series, and Products

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The eighth edition of the classic Gradshteyn and Ryzhik is an updated completely revised edition of what is acknowledged universally by mathematical and applied science users as the key reference work concerning the integrals and special functions. The book is valued by users of previous editions of the work both for its comprehensive coverage of integrals and special functions, and also for its ... Read more

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Theory and Problems of Differential Calculus in ℝn

With Solutions

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Series series Essential Textbooks in Mathematics
This book offers both a theoretical and practical introduction to Differential Calculus of several real variables, tailored for students embarking on their first semester of study in the subject. Designed especially for those in Mathematical and Physical Sciences, as well as Engineering disciplines, it assumes only a foundational understanding of single-variable calculus and basic linear algebra ... Read more

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This book offers both a theoretical and practical introduction to Differential Calculus of several real variables, tailored for students embarking on their first semester of study in the subject. Designed especially for those in Mathematical and Physical Sciences, as well as Engineering disciplines, it assumes only a foundational understanding of single-variable calculus and basic linear algebra
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All the Math You Missed

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Beginning graduate students in mathematical sciences and related areas in physical and computer sciences and engineering are expected to be familiar with a daunting breadth of mathematics, but few have such a background. This bestselling book helps students fill in the gaps in their knowledge. Thomas A. Garrity explains the basic points and a few key results of all the most important undergraduate ... Read more

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Noise Sensitivity of Boolean Functions and Percolation

by Christophe Garban, Jeffrey E. Steif ...

Series Book 5 - Institute of Mathematical Statistics Textbooks
This is a graduate-level introduction to the theory of Boolean functions, an exciting area lying on the border of probability theory, discrete mathematics, analysis, and theoretical computer science. Certain functions are highly sensitive to noise; this can be seen via Fourier analysis on the hypercube. The key model analyzed in depth is critical percolation on the hexagonal lattice. For this ... Read more

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This is a graduate-level introduction to the theory of Boolean functions, an exciting area lying on the border of probability theory, discrete mathematics, analysis, and theoretical computer science. Certain functions are highly sensitive to noise; this can be seen via Fourier analysis on the hypercube. The key model analyzed in depth is critical percolation on the hexagonal lattice. For this
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Quantum Stochastics

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Series Book 37 - Cambridge Series in Statistical and Probabilistic Mathematics
The classical probability theory initiated by Kolmogorov and its quantum counterpart, pioneered by von Neumann, were created at about the same time in the 1930s, but development of the quantum theory has trailed far behind. Although highly appealing, the quantum theory has a steep learning curve, requiring tools from both probability and analysis and a facility for combining the two viewpoints. ... Read more

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The classical probability theory initiated by Kolmogorov and its quantum counterpart, pioneered by von Neumann, were created at about the same time in the 1930s, but development of the quantum theory has trailed far behind. Although highly appealing, the quantum theory has a steep learning curve, requiring tools from both probability and analysis and a facility for combining the two viewpoints.
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Isolated Singularities in Partial Differential Inequalities

by Marius Ghergu, Steven D. Taliaferro ...

Series Book 161 - Encyclopedia of Mathematics and its Applications
In this monograph, the authors present some powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities. Here, the authors take the unique approach of investigating differential inequalities rather than equations, the reason being that the simplest way to study an equation is often to study a corresponding inequality; for example, using sub and ... Read more

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In this monograph, the authors present some powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities. Here, the authors take the unique approach of investigating differential inequalities rather than equations, the reason being that the simplest way to study an equation is often to study a corresponding inequality; for example, using sub and
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Discrete Harmonic Analysis

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by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli ...

Series Book 172 - Cambridge Studies in Advanced Mathematics
This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features applications to number theory, graph theory, and representation theory of finite groups. Beginning with elementary material on algebra and number ... Read more

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This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features applications to number theory, graph theory, and representation theory of finite groups. Beginning with elementary material on algebra and number
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Schaum's Outline of Mathematical Methods for Business, Economics and Finance, Second Edition

by Luis Moises Pena-Levano ...

The most useful tool for reviewing mathematical methods for business and economics classes—now with more contentSchaum's Outline of Mathematical Methods for Business, Economics and Finance, Second Edition is the go-to study guide for students enrolled in business and economics courses that require a variety of mathematical skills. No mathematical proficiency beyond the high school level is assumed ... Read more

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The most useful tool for reviewing mathematical methods for business and economics classes—now with more contentSchaum's Outline of Mathematical Methods for Business, Economics and Finance, Second Edition is the go-to study guide for students enrolled in business and economics courses that require a variety of mathematical skills. No mathematical proficiency beyond the high school level is assumed
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The Potential of Fields in Einstein's Theory of Gravitation

by Zafar Ahsan ...

This book presents a detailed study of the Lanczos potential in general relativity by using tetrad formalisms. It demonstrates that these formalisms offer some simplifications over the tensorial methods, and investigates a general approach to finding the Lanczos potential for algebraic space–time by translating all the tensorial relations concerning the Lanczos potential into the language of ... Read more

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This book presents a detailed study of the Lanczos potential in general relativity by using tetrad formalisms. It demonstrates that these formalisms offer some simplifications over the tensorial methods, and investigates a general approach to finding the Lanczos potential for algebraic space–time by translating all the tensorial relations concerning the Lanczos potential into the language of
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Inverse Problems and Related Topics

Shanghai, China, October 12–14, 2018

Edited by Jin Cheng, Shuai Lu, Masahiro Yamamoto ...

Series Book 310 - Springer Proceedings in Mathematics & Statistics
This volume contains 13 chapters, which are extended versions of the presentations at International Conference on Inverse Problems at Fudan University, Shanghai, China, October 12-14, 2018, in honor of Masahiro Yamamoto on the occasion of his 60th anniversary. The chapters are authored by world-renowned researchers and rising young talents, and are updated accounts of various aspects of the ... Read more

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This volume contains 13 chapters, which are extended versions of the presentations at International Conference on Inverse Problems at Fudan University, Shanghai, China, October 12-14, 2018, in honor of Masahiro Yamamoto on the occasion of his 60th anniversary. The chapters are authored by world-renowned researchers and rising young talents, and are updated accounts of various aspects of the
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Calculus in 5 Hours

Concepts Revealed so You Don't Have to Sit Through a Semester of Lectures

by Dennis Jarecke ...

Students often struggle to understand Calculus and get through their first Calculus course. And to make things worse, many popular textbooks reach a whopping 1,000 pages to introduce this crucial subject, needlessly frustrating and overwhelming students. Calculus in 5 Hours develops the confidence you need in approximately 124 pages.You may not realize it, but you're smarter than you think you are ... Read more

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Students often struggle to understand Calculus and get through their first Calculus course. And to make things worse, many popular textbooks reach a whopping 1,000 pages to introduce this crucial subject, needlessly frustrating and overwhelming students. Calculus in 5 Hours develops the confidence you need in approximately 124 pages.You may not realize it, but you're smarter than you think you are
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Recommended For You

Calculus eBooks

Infinite Powers

Calculus Made Easy

Math for Deep Learning

Differential Calculus

Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

Fundamentals of Multivariable Calculus

Singular Integrals and Fourier Theory on Lipschitz Boundaries

Mathematical Modelling

Frontiers in Analysis and Probability

Analysis at Large

Elementary Calculus

100 Ejercicios Resueltos: División de Números con Signo

100 Exercícios Resolvidos: Adição e Subtração de Números com Sinal

Table of Integrals, Series, and Products

Theory and Problems of Differential Calculus in ℝn

All the Math You Missed

Noise Sensitivity of Boolean Functions and Percolation

Quantum Stochastics

Isolated Singularities in Partial Differential Inequalities

Discrete Harmonic Analysis

Schaum's Outline of Mathematical Methods for Business, Economics and Finance, Second Edition

The Potential of Fields in Einstein's Theory of Gravitation

Inverse Problems and Related Topics

Calculus in 5 Hours