Introduction to analytic number theory
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Introduction to Analytic Number Theory
This book has grown out of a course of lectures I have given at the Eidgenossische Technische Hochschule, Zurich. I have to acknowledge my indebtednes
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The book aims to take readers to a deeper understanding of the patterns of thought that have shaped the modern understanding of number theory. It begins with the fundamental theorem of arithmetic and shows how it echoes through much of number theory over the last two hundred years.§One of the main strengths of this book is the narrative. Everest and Ward present number th...
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This informative and exhaustive study gives a problem-solving approach to the difficult subject of analytic number theory. It provides a rapid introdu
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Probabilistic number theory studies the many surprising interactions between whole numbers and the theory of random processes. This incisive textbook
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Number theory is the branch of mathematics primarily concerned with the counting numbers, especially primes. It dates back to the ancient Greeks, but
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Offers an introduction to algebraic number theory for readers with a moderate knowledge of elementary number theory and some familiarity with the term
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Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back gr
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The sixth edition of the classic undergraduate text in elementary number theory includes a new chapter on elliptic curves and their role in the proof
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This basic introduction to number theory is ideal for those with no previous knowledge of the subject. The main topics of divisibility, congruences, and the distribution of prime numbers are covered. Of particular interest is the inclusion of a proof for one of the most famous results in mathematics, the prime number theorem. With many examples and exercises, and only req...
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Complex analysis is a classic and central area of mathematics, which is studied and exploited in a range of important fields, from number theory to en
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The author describes the theory of modular forms and its applications in number theoretic problems such as representations by quadratic forms and the
Více informacíBasics of Ramsey Theory Taylor & Francis Ltd
Basics of Ramsey Theory serves as a gentle introduction to Ramsey theory for students interested in becoming familiar with a dynamic segment of contemporary mathematics that combines ideas from number theory and combinatorics. The core of the of the book consists of discussions and proofs of the results now universally known as Ramsey’s theorem, van der Waerden’s theorem,...
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A cutting-edge guide to the theory and practice of high-speed digital system design An understanding of high-speed interconnect phenomena is essential for digital designers who must deal with the challenges posed by the ever-increasing operating speeds of today's microprocessors. This book provides a much-needed, practical guide to the state of the art of modern digital ...
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Group Therapy: a group analytic approach is a comprehensive introduction to contemporary group analytic theory and practice - the prevailing form of g
Více informacíComplex Analysis
Offers a rigorous introduction on an elementary level to the theory of analytic functions of one complex variable. The book covers standard topics in
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Provides an introduction to number theory at the undergraduate level, emphasizing geometric aspects of the subject. The geometric approach is exploite
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Understanding maths has never been easier. Combining bold, elegant graphics with easy-to-understand text, Simply Maths is the perfect introduction to the subject for those who are short of time but hungry for knowledge. Covering more than 90 key mathematical concepts from prime numbers and fractions to quadratic equations and probability experiments, each pared-back, si...
Více informacíSimply Maths - Dorling Kindersley
Anotace: Understanding maths has never been easier.Combining bold, elegant graphics with easy-to-understand text, Simply Maths is the perfect introduction to the subject for those who are short of time but hungry for knowledge.Covering more than 90 key mathematical concepts from prime numbers and fractions to quadratic equations and probability experiments, each pared-ba...
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Algebraic Geometry is a fascinating branch of Mathematics that combines methods from both Algebra and Geometry. It transcends the limited scope of pure Algebra by means of geometric construction principles. Putting forward this idea, Grothendieck revolutionized Algebraic Geometry in the late 1950s by inventing schemes. Schemes now also play an important role in Algebraic ...
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Preface to Revised edition Preface1. Mathematical Review 1.1 Linear Algebra 1.1.1 Three-dimensional vector algebra 1.1.2 Matrices 1.1.3 Determinants 1.1.4 N-Dimensional Complex Vector spaces 1.1.5 Change of Basis 1.1.6 The Eigenvalue Problem 1.1.7 Functions of Matrices 1.2 Orthogonal functions, Eigenfunctions, and Operators 1.3 The Variation Metho...
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