Visual Complex Analysis Book
Score: 4.5
From 13 Ratings

Visual Complex Analysis


  • Author : Tristan Needham
  • Publisher : Oxford University Press
  • Release Date : 1997
  • Genre: Mathematics
  • Pages : 620
  • ISBN 10 : 0198534469
  • Total Read : 85
  • File Size : 19,9 Mb

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Visual Complex Analysis Summary:

This radical approach to complex analysis replaces the standard calculational arguments with new geometric ones. Using several hundred diagrams this is a new visual approach to the topic.

Visual Complex Analysis Book
Score: 4
From 2 Ratings

Visual Complex Analysis


  • Author : Tristan Needham
  • Publisher : Unknown
  • Release Date : 2004
  • Genre: Uncategoriezed
  • Pages : 592
  • ISBN 10 : OCLC:758095557
  • Total Read : 81
  • File Size : 15,6 Mb

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Visual Complex Analysis Summary:

                                                                        Visual complex analysis Book

Visual complex analysis


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2007
  • Genre: Complexes
  • Pages : 592
  • ISBN 10 : 711515516X
  • Total Read : 81
  • File Size : 13,7 Mb

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Visual complex analysis Summary:

本书介绍了几何、复变函数变换、默比乌斯变换、微分、非欧几何、复积分、柯西公式、向量场、复积分、调和函数等内容。

Visual Differential Geometry and Forms Book

Visual Differential Geometry and Forms


  • Author : Tristan Needham
  • Publisher : Princeton University Press
  • Release Date : 2021-07-13
  • Genre: Mathematics
  • Pages : 530
  • ISBN 10 : 9780691203706
  • Total Read : 99
  • File Size : 9,6 Mb

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Visual Differential Geometry and Forms Summary:

An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.

Introduction to Complex Analysis Book

Introduction to Complex Analysis


  • Author : H. A. Priestley
  • Publisher : OUP Oxford
  • Release Date : 2003-08-28
  • Genre: Mathematics
  • Pages : 344
  • ISBN 10 : 9780191037207
  • Total Read : 70
  • File Size : 12,5 Mb

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Introduction to Complex Analysis Summary:

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 engineering. Introduction to Complex Analysis was first published in 1985, and for this much awaited second edition the text has been considerably expanded, while retaining the style of the original. More detailed presentation is given of elementary topics, to reflect the knowledge base of current students. Exercise sets have been substantially revised and enlarged, with carefully graded exercises at the end of each chapter. This is the latest addition to the growing list of Oxford undergraduate textbooks in mathematics, which includes: Biggs: Discrete Mathematics 2nd Edition, Cameron: Introduction to Algebra, Needham: Visual Complex Analysis, Kaye and Wilson: Linear Algebra, Acheson: Elementary Fluid Dynamics, Jordan and Smith: Nonlinear Ordinary Differential Equations, Smith: Numerical Solution of Partial Differential Equations, Wilson: Graphs, Colourings and the Four-Colour Theorem, Bishop: Neural Networks for Pattern Recognition, Gelman and Nolan: Teaching Statistics.

Visual Group Theory Book

Visual Group Theory


  • Author : Nathan Carter
  • Publisher : American Mathematical Soc.
  • Release Date : 2021-06-08
  • Genre: Education
  • Pages : 295
  • ISBN 10 : 9781470464332
  • Total Read : 70
  • File Size : 11,9 Mb

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Visual Group Theory Summary:

Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.

Complex Analysis Book

Complex Analysis


  • Author : John M. Howie
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Mathematics
  • Pages : 260
  • ISBN 10 : 9781447100270
  • Total Read : 72
  • File Size : 15,5 Mb

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Complex Analysis Summary:

Complex analysis can be a difficult subject and many introductory texts are just too ambitious for today’s students. This book takes a lower starting point than is traditional and concentrates on explaining the key ideas through worked examples and informal explanations, rather than through "dry" theory.

A Geometric Approach to Differential Forms Book

A Geometric Approach to Differential Forms


  • Author : David Bachman
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-02-02
  • Genre: Mathematics
  • Pages : 156
  • ISBN 10 : 9780817683047
  • Total Read : 99
  • File Size : 15,8 Mb

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A Geometric Approach to Differential Forms Summary:

This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. The book contains excellent motivation, numerous illustrations and solutions to selected problems.