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Number Theory

by Z.I. Borevich, I.R. Shafarevich ...

Series Book 20 - Pure and Applied Mathematics
This book is written for the student in mathematics. Its goal is to give a view of the theory of numbers, of the problems with which this theory deals, and of the methods that are used. We have avoided that style which gives a systematic development of the apparatus and have used instead a freer style, in which the problems and the methods of solution are closely interwoven. We start from concrete ... Read more

$65.69 USD

This book is written for the student in mathematics. Its goal is to give a view of the theory of numbers, of the problems with which this theory deals, and of the methods that are used. We have avoided that style which gives a systematic development of the apparatus and have used instead a freer style, in which the problems and the methods of solution are closely interwoven. We start from concrete
... Read more

Love and Math

The Heart of Hidden Reality

by Edward Frenkel ...

**A stunning, globe-spanning journey through the beauty and power of mathematics“Powerful, passionate, and inspiring.” —New York TimesA New York Times Bestseller**What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for ... Read more

$13.99 USD

Also available as: Audiobook

**A stunning, globe-spanning journey through the beauty and power of mathematics“Powerful, passionate, and inspiring.” —New York TimesA New York Times Bestseller**What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for
... Read more

Also available as: Audiobook
Elliptic Tales

Curves, Counting, and Number Theory

by Avner Ash, Robert Gross ...

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The ... Read more

$13.99 USD

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The
... Read more
The Higher Arithmetic

An Introduction to the Theory of Numbers

by H. Davenport ...

The theory of numbers is generally considered to be the 'purest' branch of pure mathematics and demands exactness of thought and exposition from its devotees. It is also one of the most highly active and engaging areas of mathematics. Now into its eighth edition The Higher Arithmetic introduces the concepts and theorems of number theory in a way that does not require the reader to have an in-depth ... Read more

$62.39 USD

The theory of numbers is generally considered to be the 'purest' branch of pure mathematics and demands exactness of thought and exposition from its devotees. It is also one of the most highly active and engaging areas of mathematics. Now into its eighth edition The Higher Arithmetic introduces the concepts and theorems of number theory in a way that does not require the reader to have an in-depth
... Read more
Summing It Up

From One Plus One to Modern Number Theory

by Avner Ash, Robert Gross ...

The power and properties of numbers, from basic addition and sums of squares to cutting-edge theoryWe use addition on a daily basis—yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful ... Read more

$14.99 USD

The power and properties of numbers, from basic addition and sums of squares to cutting-edge theoryWe use addition on a daily basis—yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful
... Read more
The Conjecture of Syracuse

by Rolando Zucchini ...

Collatz conjecture proof kept busy a lot of mathematician to demonstrate.An italian mathematician found the solutionThe conjecture of Syracuse (better known as the Collatz conjecture) is one of the many mathematical conjectures still waiting for proof. In this essay this conjecture is addressed by highlighting some of its features. From one of these features takes its cue a process that leads to a ... Read more

$7.49 USD or Free with Kobo Plus

Collatz conjecture proof kept busy a lot of mathematician to demonstrate.An italian mathematician found the solutionThe conjecture of Syracuse (better known as the Collatz conjecture) is one of the many mathematical conjectures still waiting for proof. In this essay this conjecture is addressed by highlighting some of its features. From one of these features takes its cue a process that leads to a
... Read more
Advanced Topics in the Arithmetic of Elliptic Curves

by Joseph H. Silverman ...

Series series Mathematics and Statistics (R0)
In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there ... Read more

$62.99 USD

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there
... Read more
Problems And Proofs In Real Analysis: Theory Of Measure And Integration

by James J Yeh ...

This volume consists of the proofs of 391 problems in Real Analysis: Theory of Measure and Integration (3rd Edition).Most of the problems in Real Analysis are not mere applications of theorems proved in the book but rather extensions of the proven theorems or related theorems. Proving these problems tests the depth of understanding of the theorems in the main text.This volume will be especially ... Read more

$48.59 USD

This volume consists of the proofs of 391 problems in Real Analysis: Theory of Measure and Integration (3rd Edition).Most of the problems in Real Analysis are not mere applications of theorems proved in the book but rather extensions of the proven theorems or related theorems. Proving these problems tests the depth of understanding of the theorems in the main text.This volume will be especially
... Read more
Mathematical Olympiad Treasures

by Titu Andreescu, Bogdan Enescu ...

Series series Mathematics and Statistics (R0)
This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics. It encourages readers to think creatively about techniques and strategies for solving real-world problems, with new sections, revisions, and many more Olympiad-like problems at various levels of difficulty.The problems are ... Read more

$80.99 USD

This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics. It encourages readers to think creatively about techniques and strategies for solving real-world problems, with new sections, revisions, and many more Olympiad-like problems at various levels of difficulty.The problems are
... Read more
Number Theory

by Shailesh Shirali, C S Yogananda ...

Number Theory has fascinated mathematicians from the most ancient of times. A remarkable feature of number theory is the fact that there is something in it for everyone—from puzzle enthusiasts, problem solvers and amateur mathematicians to professional scientists and technologists. This book offers the reader some articles in number theory that appeared in Resonance over the years 19962001. The ... Read more

$4.99 USD

Number Theory has fascinated mathematicians from the most ancient of times. A remarkable feature of number theory is the fact that there is something in it for everyone—from puzzle enthusiasts, problem solvers and amateur mathematicians to professional scientists and technologists. This book offers the reader some articles in number theory that appeared in Resonance over the years 19962001. The
... Read more
Zeta Functions of Graphs

A Stroll through the Garden

by Audrey Terras ...

Series Book 128 - Cambridge Studies in Advanced Mathematics
Graph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes in several variables. Analogies abound with number-theoretic functions such as Riemann/Dedekind zeta functions. For example, there is a Riemann hypothesis (which may be false) and prime number theorem for graphs. Explicit constructions of graph coverings use ... Read more

$75.49 USD

Graph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes in several variables. Analogies abound with number-theoretic functions such as Riemann/Dedekind zeta functions. For example, there is a Riemann hypothesis (which may be false) and prime number theorem for graphs. Explicit constructions of graph coverings use
... Read more
Partial Differential Equations in Physics

by Arnold Sommerfeld ...

Series Book 1 - Pure and Applied Mathematics
The topic with which I regularly conclude my six-term series of lectures in Munich is the partial differential equations of physics. We do not really deal with mathematical physics, but with physical mathematics; not with the mathematical formulation of physical facts, but with the physical motivation of mathematical methods. The oftmentioned "prestabilized harmony between what is mathematically ... Read more

$65.69 USD

The topic with which I regularly conclude my six-term series of lectures in Munich is the partial differential equations of physics. We do not really deal with mathematical physics, but with physical mathematics; not with the mathematical formulation of physical facts, but with the physical motivation of mathematical methods. The oftmentioned "prestabilized harmony between what is mathematically
... Read more

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Love and Math

Elliptic Tales

The Higher Arithmetic

Summing It Up

The Conjecture of Syracuse

Advanced Topics in the Arithmetic of Elliptic Curves

Problems And Proofs In Real Analysis: Theory Of Measure And Integration

Mathematical Olympiad Treasures

Number Theory

Zeta Functions of Graphs

Partial Differential Equations in Physics

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