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College Algebra with Modeling and Visualization

College Algebra with Modeling and Visualization more books like this

by Gary K Rockswold

Gary Rockswold focuses on teaching algebra in context, answering the question, "Why am I learning this?" and ultimately motivating the students to succeed in this class. In addition, the author's understanding of what instructors need from a text (great 'real' examples and lots of exercises) makes this book fun and easy to teach from. Integrating ...

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Unknown Quantity: A Real and Imaginary History of Algebra

Unknown Quantity: A Real and Imaginary History of Algebra more books like this

by John Derbyshire

Prime Obsession taught us not to be afraid to put the math in a math book. "Unknown Quantity" heeds the lesson well. So grab your graphing calculators, slip out the slide rules, and buckle up! John Derbyshire is introducing us to algebra through the ages - and it promises to be just what his die-hard fans have been waiting for. "Here is the story ...

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Algebraic Geometry

Algebraic Geometry more books like this

by Richard Hartshorne, Robin Hartshorne

Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to California where he is now Professor at the ...

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The Arithmetic of Elliptic Curves

The Arithmetic of Elliptic Curves more books like this

by Joseph H Silverman

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the ...

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Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra

Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra more books like this

by David A Cox, PH.D.

Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated? The solutions of a system of polynomial equations form a ...

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Topology and geometry

Topology and geometry more books like this

by Bredon

This book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all ...

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Algebraic Codes on Lines, Planes, and Curves: An Engineering Approach

Algebraic Codes on Lines, Planes, and Curves: An Engineering Approach more books like this

by Richard E Blahut

Algebraic geometry is often employed to encode and decode signals transmitted in communication systems. This book describes the fundamental principles of algebraic coding theory from the perspective of an engineer, discussing a number of applications in communications and signal processing. The principle concept is that of using algebraic curves ...

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Lecture Notes on Elementary Topology and Geometry

Lecture Notes on Elementary Topology and Geometry more books like this

by I M Singer, J a Thorpe

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Basic Algebraic Geometry Volume 1: Varieties in Projective Space

Basic Algebraic Geometry Volume 1: Varieties in Projective Space more books like this

by Igor R Shafarevich

"Basic Algebraic Geometry, Volume I" is a revised and expanded new edition of the first four chapters of Shafarevich's well-known introductory book on algebraic geometry. The author has added plenty of new, mostly concrete geometrical material such as Grassmannian varieties, plane cubic curves, the cubic surface, degenerations of quadrics and ...

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An Invitation to Quantum Cohomology: Kontsevich's Formula for Rational Plane Curves

An Invitation to Quantum Cohomology: Kontsevich's Formula for Rational Plane Curves more books like this

by Joachim Kock, Israel Vainsencher

This book is an elementary introduction to stable maps and quantum cohomology, starting with an introduction to stable pointed curves, and culminating with a proof of the associativity of the quantum product. The viewpoint is mostly that of enumerative geometry, and the red thread of the exposition is the problem of counting rational plane curves. ...

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Differential Forms in Algebraic Topology more books like this

by Raoul Bott, Loring W Tu

This text, developed from a first-year graduate course in algebraic topology, is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas- de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes-and include some ...

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Convex polytopes more books like this

by Branko Grünbaum

The appearance of Gruenbaum's book Convex Polytopes in 1967 was a moment of grace to geometers and combinatorialists. The special spirit of the book is very much alive even in those chapters where the book's immense influence made them quickly obsolete. Some other chapters promise beautiful unexplored land for future research. The appearance of ...

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Frobenius Algebras and 2-D Topological Quantum Field Theories more books like this

by Joachim Kock, C M Series (Editor), J W Bruce (Editor)

This book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras. The precise formulation of the theorem and its proof is given in terms of monoidal categories, and the main purpose of the book is to develop these concepts from an elementary ...

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Rational Algebraic Curves: A Computer Algebra Approach more books like this

by Franz Winkler, J Rafael Sendra, Sonia Perez-Diaz

The central problem considered in this book is the determination of rational parametrizability of an algebraic curve, and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve, i.e. its complete singularity structure, computing regular points of the curve in small coordinate ...

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Algebraic Geometry: A First Course more books like this

by Joe Harris

This book is intended to introduce students to algebraic geometry; to give them a sense of the basic objects considered, the questions asked about them, and the sort of answers one can expect to obtain. It thus emplasizes the classical roots of the subject. For readers interested in simply seeing what the subject is about, this avoids the more ...

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Spinning tops a course on integrable systems more books like this

by Audin

Since the time of Lagrange and Euler, it has been well known that an understanding of algebraic curves can illuminate the picture of rigid bodies provided by classical mechanics. A modern view of the role played by algebraic geometry has been established in recent years by many mathematicians. This book presents some of these modern techniques, ...

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Algebraic Geometry I: Complex Projective Varieties more books like this

by D Mumford

Deals with modern algebraic geometry.

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Rational Points on Elliptic Curves more books like this

by Joseph H Silverman

The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. "Rational Points on Elliptic Curves" stresses this interplay as it develops the basic theory, thereby providing an opportunity for advance undergraduates to appreciate the unity of modern mathematics. At the same time, every effort has been ...

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Heights in Diophantine Geometry more books like this

by Enrico Bombieri, Walter Gubler

Diophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem, and most recently the ABC conjecture. This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The authors provide a ...

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A Treatise on Algebraic Plane Curves more books like this

by Julian Lowell Coolidge

A thorough introduction to the theory of algebraic plane curves and their relations to various fields of geometry and analysis. Almost entirely confined to the properties of the general curve, and chiefly employs algebraic procedure. Geometric methods are much employed, however, especially those involving the projective geometry of hyperspace. ...

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Geometric Invariant Theory more books like this

by David Mumford

"Geometric Invariant Theory" by Mumford/Fogarty (the first edition was published in 1965, a second, enlarged edition appeared in 1982) is the standard reference on applications of invariant theory to the construction of moduli spaces. This third, revised edition has been long awaited for by the mathematical community. It is now appearing in a ...

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Algebraic Geometry and Arithmetic Curves more books like this

by Qing Liu

This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, ...

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Shafarevich Maps and Automorphic Forms more books like this

by Janos Kollar

This text studies various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental groups. This approach allows for much interplay between methods of algebraic geometry, complex analysis, the theory of harmonic maps and topology. Making systematic use of Shafarevich maps, this work isolates those ...

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Introduction to Algebraic Geometry more books like this

by Serge Lang

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Advanced topics in the arithmetic of elliptic curves more books like this

by Joseph H Silverman

This book continues the treatment of the arithmetic theory of elliptic curves begun in the first volume. The book begins with the theory of elliptic and modular functions for the full modular group r(1), including a discussion of Hekcke operators and the L-series associated to cusp forms. This is followed by a detailed study of elliptic curves ...

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