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Real Analysis

With Proof Strategies

by Daniel W. Cunningham ...

Series series Textbooks in Mathematics
Typically, undergraduates see real analysis as one of the most diﬃcult courses that a mathematics major is required to take. The main reason for this perception is twofold: Students must comprehend new abstract concepts and learn to deal with these concepts on a level of rigor and proof not previously encountered. A key challenge for an instructor of real analysis is to ﬁnd a way to bridge the gap ... Read more

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Typically, undergraduates see real analysis as one of the most diﬃcult courses that a mathematics major is required to take. The main reason for this perception is twofold: Students must comprehend new abstract concepts and learn to deal with these concepts on a level of rigor and proof not previously encountered. A key challenge for an instructor of real analysis is to ﬁnd a way to bridge the gap
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Introduction To Analysis With Complex Numbers

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This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs ... Read more

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This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs
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Fixed Point Theorems and Applications

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Series series Mathematics and Statistics (R0)
This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ... Read more

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This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results
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Evernote Essentials Guide (Boxed Set)

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In this day and age, everyone has a seemingly endless number of website passwords to remember, but Evernote is a great tool to help you keep everything in an accessible place, no matter what computer you are using. Many people keep these organized on a flash drive, but what if forget it and aren't at home? With Evernote, no matter what computer you are using, you can have access to all of your ... Read more

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In this day and age, everyone has a seemingly endless number of website passwords to remember, but Evernote is a great tool to help you keep everything in an accessible place, no matter what computer you are using. Many people keep these organized on a flash drive, but what if forget it and aren't at home? With Evernote, no matter what computer you are using, you can have access to all of your
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Manuale di matematica avanzata

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Questo libro esplora gran parte della matematica avanzata, partendo dalla pietra miliare data dall’analisi matematica fino ad arrivare alla geometria differenziale e frattale, alla logica matematica, alla topologia algebrica, alla statistica avanzata e all’analisi numerica. Nel contempo saranno forniti approfondimenti completi circa le equazioni differenziali e integrali, l’analisi funzionale, lo ... Read more

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Questo libro esplora gran parte della matematica avanzata, partendo dalla pietra miliare data dall’analisi matematica fino ad arrivare alla geometria differenziale e frattale, alla logica matematica, alla topologia algebrica, alla statistica avanzata e all’analisi numerica. Nel contempo saranno forniti approfondimenti completi circa le equazioni differenziali e integrali, l’analisi funzionale, lo
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The Golden Ticket

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The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron ... Read more

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The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron
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Spectral Geometry of Partial Differential Operators

by Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations.Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type ... Read more

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The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations.Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type
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Il libro di matematica: volume 1

by Simone Malacrida ...

In questo libro è presentata la maggior parte della matematica, partendo dai concetti basilari ed elementari, fino a sondare i settori più complessi e avanzati. La matematica è affrontata sia dal punto di vista teorico, esponendo i teoremi e le definizioni di ogni particolare tipologia, sia a livello pratico, andando a risolvere oltre 1'000 esercizi. L’approccio alla matematica è dato da una ... Read more

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In questo libro è presentata la maggior parte della matematica, partendo dai concetti basilari ed elementari, fino a sondare i settori più complessi e avanzati. La matematica è affrontata sia dal punto di vista teorico, esponendo i teoremi e le definizioni di ogni particolare tipologia, sia a livello pratico, andando a risolvere oltre 1'000 esercizi. L’approccio alla matematica è dato da una
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Advanced Abacus

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This handy guide will take abacus users from beginner to master level in a very short time.Though the Japanese abacus may appear mysterious or even primitive, this intriguing tool is capable of amazing speed and accuracy. it is still widely used throughout the shop and markets of Asia and its popularity shows no sign of decline.This volume is designed for the student desiring a greater ... Read more

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This handy guide will take abacus users from beginner to master level in a very short time.Though the Japanese abacus may appear mysterious or even primitive, this intriguing tool is capable of amazing speed and accuracy. it is still widely used throughout the shop and markets of Asia and its popularity shows no sign of decline.This volume is designed for the student desiring a greater
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Calculus for the Ambitious

by T. W. Körner ...

From the author of The Pleasures of Counting and Naïve Decision Making comes a calculus book perfect for self-study. It will open up the ideas of the calculus for any 16- to 18-year-old, about to begin studies in mathematics, and will be useful for anyone who would like to see a different account of the calculus from that given in the standard texts. In a lively and easy-to-read style, Professor ... Read more

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From the author of The Pleasures of Counting and Naïve Decision Making comes a calculus book perfect for self-study. It will open up the ideas of the calculus for any 16- to 18-year-old, about to begin studies in mathematics, and will be useful for anyone who would like to see a different account of the calculus from that given in the standard texts. In a lively and easy-to-read style, Professor
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Fourier Analysis

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by Elias M. Stein, Rami Shakarchi ...

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an ... Read more

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This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an
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What Is Calculus?: From Simple Algebra To Deep Analysis

by R Michael Range ...

This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as tangents and derivatives without using any advanced tools based on limits and infinite processes that ... Read more

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This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as tangents and derivatives without using any advanced tools based on limits and infinite processes that
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Hilbert

by Constance Reid ...

Series series Social Sciences (R0)
Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint. These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the ... Read more

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Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint. These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the
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Elliptic Functions - An Elementary Text-Book for Students of Mathematics

by Arthur Baker ...

The first step taken in the theory of Elliptic Functions was the determination of a relation between the amplitudes of three functions of either order, such that there should exist an algebraic relation between the three functions themselves of which these were the amplitudes. It is one of the most remarkable discoveries which science owes to Euler.In 1761 he gave to the world the complete ... Read more

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The first step taken in the theory of Elliptic Functions was the determination of a relation between the amplitudes of three functions of either order, such that there should exist an algebraic relation between the three functions themselves of which these were the amplitudes. It is one of the most remarkable discoveries which science owes to Euler.In 1761 he gave to the world the complete
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Quantum Theory for Mathematicians

by Brian C. Hall ...

Series series Mathematics and Statistics (R0)
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert ... Read more

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Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert
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Positive Definite Matrices

by Rajendra Bhatia ...

Series series Princeton Series in Applied Mathematics
This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis, ... Read more

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This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis,
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Functional Analysis

Introduction to Further Topics in Analysis

by Elias M. Stein, Rami Shakarchi ...

This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to ... Read more

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This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to
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Esercizi di matematica: analisi complessa

by Simone Malacrida ...

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:monodromia e polidromia in analisi complessaintegrali e serie complesseteoremi notevoli di analisi complessaSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi ... Read more

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In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:monodromia e polidromia in analisi complessaintegrali e serie complesseteoremi notevoli di analisi complessaSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi
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Analytic Number Theory: An Introductory Course

by Harold G Diamond, Paul Trevier Bateman ...

Series Book 1 - Monographs In Number Theory
This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract ... Read more

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This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract
... Read more
Il libro di matematica: volume 2

by Simone Malacrida ...

In questo libro è presentata la maggior parte della matematica, partendo dai concetti basilari ed elementari, fino a sondare i settori più complessi e avanzati. La matematica è affrontata sia dal punto di vista teorico, esponendo i teoremi e le definizioni di ogni particolare tipologia, sia a livello pratico, andando a risolvere oltre 1'000 esercizi. L’approccio alla matematica è dato da una ... Read more

Was $14.99 USD Now $11.99 USD

In questo libro è presentata la maggior parte della matematica, partendo dai concetti basilari ed elementari, fino a sondare i settori più complessi e avanzati. La matematica è affrontata sia dal punto di vista teorico, esponendo i teoremi e le definizioni di ogni particolare tipologia, sia a livello pratico, andando a risolvere oltre 1'000 esercizi. L’approccio alla matematica è dato da una
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Money Sense: More than 100 Real-Life Problems to Teach Basic Math Skills

by Remedia Publications ...

Realistic Life Skills Math Lessons. Math plays a vital role in our lives... every single day. In fact it is so common, that sometimes we don’t even realize we are “doing math!” These practical lessons are sure to help students master everyday math skills and help them understand “Why” this math is so important. ... Read more

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Realistic Life Skills Math Lessons. Math plays a vital role in our lives... every single day. In fact it is so common, that sometimes we don’t even realize we are “doing math!” These practical lessons are sure to help students master everyday math skills and help them understand “Why” this math is so important.
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Théorie spectrale et mécanique quantique

by Mathieu Lewin ...

Series series Mathematics and Statistics (R0)
Ce livre présente la théorie spectrale des opérateurs auto-adjoints en dimension infinie ainsi que son application à la mécanique quantique. Le concept d'auto-adjonction, découvert par John von Neumann dans les années 1930, est bien plus subtil dans ce cadre que pour les matrices hermitiennes en dimension finie.Cet ouvrage peut aussi servir d’introduction mathématique à la mécanique quantique. De ... Read more

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Ce livre présente la théorie spectrale des opérateurs auto-adjoints en dimension infinie ainsi que son application à la mécanique quantique. Le concept d'auto-adjonction, découvert par John von Neumann dans les années 1930, est bien plus subtil dans ce cadre que pour les matrices hermitiennes en dimension finie.Cet ouvrage peut aussi servir d’introduction mathématique à la mécanique quantique. De
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Geometry of Deep Learning

A Signal Processing Perspective

by Jong Chul Ye ...

Series series Mathematics and Statistics (R0)
The focus of this book is on providing students with insights into geometry that can help them understand deep learning from a unified perspective. Rather than describing deep learning as an implementation technique, as is usually the case in many existing deep learning books, here, deep learning is explained as an ultimate form of signal processing techniques that can be imagined.To support this ... Read more

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The focus of this book is on providing students with insights into geometry that can help them understand deep learning from a unified perspective. Rather than describing deep learning as an implementation technique, as is usually the case in many existing deep learning books, here, deep learning is explained as an ultimate form of signal processing techniques that can be imagined.To support this
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Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

by Manfred Stoll ...

Series Book 431 - London Mathematical Society Lecture Note Series
This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other ... Read more

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This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other
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Il libro di matematica: volume 1

Advanced Abacus

Calculus for the Ambitious

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Hilbert

Elliptic Functions - An Elementary Text-Book for Students of Mathematics

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