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An Introduction to Diophantine Equations: A Problem-Based Approach [1 ed.]

Description: This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equations, such as the decomposition method, inequalities, the parametric method, modular arithmetic, mathematical induction, Fermat's method of infinite descent, and the method of quadratic fields; Part II contains complete solutions to all exercises in Part I. The presentation features some classi

Description: A balanced and clearly explained treatment of infinity in mathematics.The concept of infinity has fascinated and confused mankind for centuries with concepts and ideas that cause even seasoned mathematicians to wonder. For instance, the idea that a set is infinite if it is not a finite set is an elementary concept that jolts our common sense and imagination. the Mathematics of Infinity: A guide to Great Ideas uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing.Writing with clear knowledge and affection for

Description: Partitions, q-Series, and Modular Forms contains a collection of research and survey papers that grew out of a Conference on Partitions, q-Series and Modular Forms at the University of Florida, Gainesville in March 2008. It will be of interest to researchers and graduate students that would like to learn of recent developments in the theory of q-series and modular and how it relates to number theory, combinatorics and special functions. (adsbygoogle = window.adsbygoogle || []).push({}); Title : Partitions, q-series, and modular forms [1 ed.] au

Description: Number theory is a branch of mathematics which draws its vitality from a rich historical background. It is also traditionally nourished through interactions with other areas of research, such as algebra, algebraic geometry, topology, complex analysis and harmonic analysis. More recently, it has made a spectacular appearance in the field of theoretical computer science and in questions of communication, cryptography and error-correcting codes. Providing an elementary introduction to the central topics in number theory, this book spans multiple areas of research. The f

Description: An update of the most accessible introductory number theory text available, Fundamental Number Theory with Applications, Second Edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject. The substantial amount of reorganizing makes this edition clearer and more elementary in its coverage. New to the Second Edition (adsbygoogle = window.adsbygoogle || []).push({}); • Removal of all advanced material to be even more accessible in scope • New fundamental material, including partitio

Description: The aim of these lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan. Two central results in these notes are: (1) the evaluation of the Rogers-Ramanujan continued fraction -- a result that convinced G H Hardy that Ramanujan was a "mathematician of the highest class", and (2) what G. H. Hardy called Ramanujan's "Most Beautiful Identity". This book covers a range of related results, such as several proofs of the famous Rogers-Ramanujan identities and a detailed account of Ramanujan's congruences. It a

Description: Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a recognized leader in algebra and number theory, the book includes a page reference for every citing in the bibliography and more than 1,500 entries in the index so that students can easily cross-reference and find the appropriate data. With numerous examples throughout, the text begins with coverage of algebraic number theory, binary quadratic form

Description: 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 algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed. (adsbygoog

Description: This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas, conjectures, and conclusions in writing. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory. (adsbygoogle = window.adsbygoogle |

Description: It is impossible to imagine modern mathematics without complex numbers. "Complex Numbers from A to ...Z" introduces the reader to this fascinating subject which, from the time of L. Euler, has become one of the most utilized ideas in mathematics. (adsbygoogle = window.adsbygoogle || []).push({}); The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers can be used to solve algebraic equations and to understand the geometric interpretation of complex numbers and the operations involving

Description: Linear equations -- Linear transformations -- Subspaces of R[superscript]n and their dimensions -- Linear spaces -- Orthogonality and least squares -- Determinants -- Eigenvalues and Eigenvectors -- Symmetric matrices and quadratic forms -- Linear differential equations -- Appendix A: Vectors -- Answers to odd-numbered exercises (adsbygoogle = window.adsbygoogle || []).push({}); Title : Linear algebra with applications [4th ed] author(s) : Otto Bretscher Publisher: Pearson Prentice Hall Year: 2008 size : 5 Mb file type : djv

Description: Holt's Linear Algebra with Applications blends computational and conceptual topics throughout. Early treatment of conceptual topics in the context of Euclidean space gives students more time, and a familiar setting, in which to absorb them. This organization also makes it possible to treat eigenvalues and eigenvectors earlier than in most texts. Abstract vector spaces are introduced later, once students have Read more.. (adsbygoogle = window.adsbygoogle || []).push({}); Title : Linear algebra with applications author(s) : Jeffrey Holt Publis

Description: Linear Algebra: A First Course with Applications explores the fundamental ideas of linear algebra, including vector spaces, subspaces, basis, span, linear independence, linear transformation, eigenvalues, and eigenvectors, as well as a variety of applications, from inventories to graphics to Google’s PageRank. (adsbygoogle = window.adsbygoogle || []).push({}); Unlike other texts on the subject, this classroom-tested book gives students enough time to absorb the material by focusing on vector spaces early on and using computational sections as numerical interludes

Description: Designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, Numerical Linear Algebra with Applications contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science. (adsbygoogle = window.adsbygoogle || []).push({}); With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving re

Description: This thorough and accessible text, from one of the leading figures in the use of technology in linear algebra, gives students a challenging and broad understanding of the subject. The author infuses key concepts with their modern practical applications to offer students examples of how mathematics is used in the real world. Each chapter contains integrated worked examples and chapter tests. The book stresses the important roles geometry and visualization play in understanding linear algebra. (adsbygoogle = window.adsbygoogle || []).push({}); Title :

Description: Sample questions asked in the 9th edition of Student Solutions Manual for Elementary Linear Algebra with Applications: (adsbygoogle = window.adsbygoogle || []).push({}); In Exercises 15 through 28, classify the quadric surface given by each equation and determine its standard form . x2 + 2y2 + 2z2 + 2yz = 1 (adsbygoogle = window.adsbygoogle || []).push({}); In Exercises 15 through 28, classify the quadric surface given by each equation and determine its standard form . x2 + y2 + 2z2 ? 2xy + 4xz + 4yz = 16 (adsbygoogle = window.adsbygoogle || []).pu

Description: This book gives a self- contained treatment of linear algebra with many of its most important applications. It is very unusual if not unique in being an elementary book which does not neglect arbitrary fields of scalars and the proofs of the theorems. It will be useful for beginning students and also as a reference for graduate students and others who need an easy to read explanation of the important theorems of this subject. It presents a self- contained treatment of the algebraic treatment of linear differential equation which includes all proofs. It also contains m

Description: Linear transformations are introduced early in the text to make the discussion of matrix operations more meaningful and easier to navigate. Visualization and geometrical interpretation are emphasized extensively throughout the text. An abundance of problems, exercises, and applications help students assess their understanding and master the material. Abstract concepts are introduced gradually throughout the text. Major ideas are carefully developed at various levels of generality before the student is introduced to abstract vector spaces. Discrete and continuous dynam

Description: Over the last few decades, linear algebra has become more relevant than ever. Applications have increased not only in quantity but also in diversity, with linear systems being used to solve problems in chemistry, engineering, economics, nutrition, urban planning, and more. DeFranza and Gagliardi introduce students to the topic in a clear, engaging, and easy-to-follow manner. Topics are developed fully before moving on to the next through a series of natural connections. The result is a solid introduction to linear algebra for undergraduates' first course. Outstanding

Description: This book is for sophomore-level or junior/senior-level first courses in linear algebra and assumes calculus as a prerequisite. This thorough and accessible text, from one of the leading figures in the use of technology in linear algebra, gives students a challenging and broad understanding of the subject. The author infuses key concepts with their modern practical applications to offer students examples of how mathematics is used in the real world. Each chapter contains integrated worked examples and chapter tests. The book stresses the important roles geometry and v

Mathematics

An Introduction to Diophantine Equations: A Problem-Based Approach [1 ed.]

The Mathematics of Infinity: A Guide to Great Ideas [1 ed.]

Partitions, q-series, and modular forms [1 ed.]

Arithmetics [1 ed.]

Fundamental Number Theory with Applications [2 ed.]

An Invitation to Q-Series

Advanced Number Theory with Applications

Analytic Number Theory : An Introductory Course

104 number theory problems : from the training of the USA IMO team

Complex numbers from A to--Z

Linear algebra with applications [4th ed]

Linear algebra with applications First Edition

Linear Algebra : A First Course with Applications

Numerical linear algebra with applications : using MATLAB

Linear Algebra with Applications [8th ed.]

Student Solutions Manual for Elementary Linear Algebra with Applications

Linear Algebra with Applications

Linear Algebra with Applications

Introduction to Linear Algebra with Applications

Linear Algebra with Applications (9th Revised edition)

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