vectors in two or three dimensions modular mathematics series

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Vectors In Two Or Three Dimensions

Author : Ann Hirst
ISBN : 9780080572017
Genre : Mathematics
File Size : 51. 47 MB
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Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout. Properties of vectors are initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimensions and the concept of isometry are introduced later, providing a stepping stone to more advanced theories. * Adopts a geometric approach * Develops gradually, building from basics to the concept of isometry and vector calculus * Assumes virtually no prior knowledge * Numerous worked examples, exercises and challenge questions

Vector Calculus

Author : Bill Cox
ISBN : 9780340677414
Genre : Computers
File Size : 76. 97 MB
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Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration. Undergraduates who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order differential equations will find it a useful introduction and basic reference.

Vectors In Two Or Three Dimensions

Author : A. E. Hirst
ISBN : 9780340614693
Genre : Mathematics
File Size : 51. 7 MB
Format : PDF, Kindle
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Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout. Properties of vectors are initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimensions and the concept of isometry are introduced later, providing a stepping stone to more advanced theories. * Adopts a geometric approach * Develops gradually, building from basics to the concept of isometry and vector calculus * Assumes virtually no prior knowledge * Numerous worked examples, exercises and challenge questions

Heinemann Modular Maths Edexcel Further Pure Maths 3

Author : Geoff Mannall
ISBN : 0435511025
Genre : A-level examinations
File Size : 47. 96 MB
Format : PDF, Kindle
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Drawing on over 10 years' experience of publishing for Edexcel maths, Heinemann Modular Maths for Edexcel AS and A Level brings you dedicated textbooks to help you give your students a clear route to success, now with new Core maths titles to match the new 2004 specification. Further Pure 3 replaces Pure 6 in the new specification.

Advanced Calculus

Author : Phil Dyke
ISBN : 9781349140763
Genre : Analysis (Mathematics)
File Size : 47. 49 MB
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This book is a student guide to the applications of differential and integral calculus to vectors. Such material is normally covered in the later years of an engineering or applied physical sciences degree course, or the first and second years of a mathematics degree course. The emphasis is on those features of the subject that will appeal to a user of mathematics, rather than the person who is concerned mainly with rigorous proofs. The aim is to assist the reader to acquire good proficiency in algebraic manipulation that can be used in critically assessing the results obtained from using graphics calculators and algebraic software packages.

Numbers Sequences And Series

Author : Keith E. Hirst
ISBN : 9780340610435
Genre : Mathematics
File Size : 24. 56 MB
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Concerned with the logical foundations of number systems from integers to complex numbers.

Groups

Author : Camilla R. Jordan
ISBN : 9780340610459
Genre : Mathematics
File Size : 48. 35 MB
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Introduction to mathematical groups

Elements Of Linear Space

Author : A. R. Amir-Moez
ISBN : 9781483279091
Genre : Mathematics
File Size : 33. 30 MB
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Elements of Linear Space is a detailed treatment of the elements of linear spaces, including real spaces with no more than three dimensions and complex n-dimensional spaces. The geometry of conic sections and quadric surfaces is considered, along with algebraic structures, especially vector spaces and transformations. Problems drawn from various branches of geometry are given. Comprised of 12 chapters, this volume begins with an introduction to real Euclidean space, followed by a discussion on linear transformations and matrices. The addition and multiplication of transformations and matrices are given emphasis. Subsequent chapters focus on some properties of determinants and systems of linear equations; special transformations and their matrices; unitary spaces; and some algebraic structures. Quadratic forms and their applications to geometry are also examined, together with linear transformations in general vector spaces. The book concludes with an evaluation of singular values and estimates of proper values of matrices, paying particular attention to linear transformations always on a unitary space of dimension n over the complex field. This book will be of interest to both undergraduate and more advanced students of mathematics.

Modular Functions And Dirichlet Series In Number Theory

Author : Tom M. Apostol
ISBN : 9781461209997
Genre : Mathematics
File Size : 60. 90 MB
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A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke’s theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr’s theory of equivalence of general Dirichlet series.

Numbers And Proofs

Author : Reg Allenby
ISBN : 9780080928777
Genre : Mathematics
File Size : 31. 7 MB
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'Numbers and Proofs' presents a gentle introduction to the notion of proof to give the reader an understanding of how to decipher others' proofs as well as construct their own. Useful methods of proof are illustrated in the context of studying problems concerning mainly numbers (real, rational, complex and integers). An indispensable guide to all students of mathematics. Each proof is preceded by a discussion which is intended to show the reader the kind of thoughts they might have before any attempt proof is made. Established proofs which the student is in a better position to follow then follow. Presented in the author's entertaining and informal style, and written to reflect the changing profile of students entering universities, this book will prove essential reading for all seeking an introduction to the notion of proof as well as giving a definitive guide to the more common forms. Stressing the importance of backing up "truths" found through experimentation, with logically sound and watertight arguments, it provides an ideal bridge to more complex undergraduate maths.

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