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Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)

This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and...

Discrete Mathematics for Computer Scientists
Discrete Mathematics for Computer Scientists

Many colleges and universities offer a course in discrete mathematics. Students taking these courses are from many disciplines, one of the largest being computer science. As a part of the Mathematics Across the Curriculum project at Dartmouth, supported by the National Science Foundation,1 we proposed to create a discrete mathematics...

The Mathematics of Derivatives Securities with Applications in MATLAB
The Mathematics of Derivatives Securities with Applications in MATLAB

Quantitative Finance is expanding rapidly. One of the aspects ofthe recent financial crisis is that, given the complexity offinancial products, the demand for people with high numeracy skillsis likely to grow and this means more recognition will be given toQuantitative Finance in existing and new course structuresworldwide. Evidence has...

Calculus DeMYSTiFieD, Second Edition
Calculus DeMYSTiFieD, Second Edition

Calculus is one of the milestones of Western thought. Building on ideas of Archimedes, Fermat, Newton, Leibniz, Cauchy, and many others, the calculus is arguably the cornerstone of modern science. Any well-educated person  should at least be acquainted with the ideas of calculus, and a scientifically literateperson must know calculus...

Circuit Analysis Demystified
Circuit Analysis Demystified
Here's the sure cure for CIRCUIT PARALYSIS!

Need to learn circuit analysis but experiencing some resistance in your brain waves?  No stress! Circuit Analysis Demystified will give you the jolt you need to understand this complex subject--without getting your circuits crossed.

In the first part of the...

Intermediate Statistics For Dummies (Math & Science)
Intermediate Statistics For Dummies (Math & Science)
"style, language, layout,common sense, Minitab output, dire warnings,practicalities,examples,punchy headings and warmth of humour..." (MSOR Connections, Vol 8 No 1)

Need to know how to build and test models based on data? Intermediate Statistics For Dummies gives you the knowledge to estimate,
...
Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics, Vol. 23)
Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics, Vol. 23)

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects.

Many of the tools used in differential topology are introduced and the
...

The History of Approximation Theory: From Euler to Bernstein
The History of Approximation Theory: From Euler to Bernstein

The problem of approximating a given quantity is one of the oldest challenges faced by mathematicians. Its increasing importance in contemporary mathematics has created an entirely new area known as Approximation Theory. The modern theory was initially developed along two divergent schools of thought: the Eastern or Russian group, employing...

Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications)
Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications)
The purpose of this reviewarticle is to serve as an introduction and at the same time, as an invitation to the theory of towers of function fields over finite fields. More specifically, we treat here the case of explicit towers; i.e., towers where the function fields are given by explicit equations. The asymptotic behaviour of the genus and of the...
Beyond Reason: Eight Great Problems That Reveal the Limits of Science
Beyond Reason: Eight Great Problems That Reveal the Limits of Science
A mind-bending excursion to the limits of science and mathematics
Are some scientific problems insoluble? In Beyond Reason, internationally acclaimed math and science author A. K. Dewdney answers this question by examining eight insurmountable mathematical and scientific roadblocks that have stumped thinkers across the
...
Proofs and Algorithms: An Introduction to Logic and Computability (Undergraduate Topics in Computer Science)
Proofs and Algorithms: An Introduction to Logic and Computability (Undergraduate Topics in Computer Science)

Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation.

Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a
...

Mathematical Statistics for Economics and Business
Mathematical Statistics for Economics and Business

Mathematical Statistics for Economics and Business, Second Edition, provides a comprehensive introduction to the principles of mathematical statistics which underpin statistical analyses in the fields of economics, business, and econometrics.  The selection of topics in this textbook is designed to provide students with a...

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