99 Variations on a Proof

99 Variations on a Proof PDF Author: Philip Ording
Publisher: Princeton University Press
ISBN: 0691218978
Category : Mathematics
Languages : en
Pages : 272

Get Book Here

Book Description
An exploration of mathematical style through 99 different proofs of the same theorem This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from Medieval, Topological, and Doggerel to Chromatic, Electrostatic, and Psychedelic. With a rare blend of humor and scholarly aplomb, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics. Inspired by the experiments of the Paris-based writing group known as the Oulipo—whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp—Ording explores new ways to examine the aesthetic possibilities of mathematical activity. 99 Variations on a Proof is a mathematical take on Queneau’s Exercises in Style, a collection of 99 retellings of the same story, and it draws unexpected connections to everything from mysticism and technology to architecture and sign language. Through diagrams, found material, and other imagery, Ording illustrates the flexibility and creative potential of mathematics despite its reputation for precision and rigor. Readers will gain not only a bird’s-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Readers, no matter their level of expertise, will discover in these proofs and accompanying commentary surprising new aspects of the mathematical landscape.

99 Variations on a Proof

99 Variations on a Proof PDF Author: Philip Ording
Publisher: Princeton University Press
ISBN: 0691218978
Category : Mathematics
Languages : en
Pages : 272

Get Book Here

Book Description
An exploration of mathematical style through 99 different proofs of the same theorem This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from Medieval, Topological, and Doggerel to Chromatic, Electrostatic, and Psychedelic. With a rare blend of humor and scholarly aplomb, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics. Inspired by the experiments of the Paris-based writing group known as the Oulipo—whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp—Ording explores new ways to examine the aesthetic possibilities of mathematical activity. 99 Variations on a Proof is a mathematical take on Queneau’s Exercises in Style, a collection of 99 retellings of the same story, and it draws unexpected connections to everything from mysticism and technology to architecture and sign language. Through diagrams, found material, and other imagery, Ording illustrates the flexibility and creative potential of mathematics despite its reputation for precision and rigor. Readers will gain not only a bird’s-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Readers, no matter their level of expertise, will discover in these proofs and accompanying commentary surprising new aspects of the mathematical landscape.

Mathematics of the Discrete Fourier Transform (DFT)

Mathematics of the Discrete Fourier Transform (DFT) PDF Author: Julius O. Smith
Publisher: Julius Smith
ISBN: 097456074X
Category : Fourier transformations
Languages : en
Pages : 323

Get Book Here

Book Description
"The DFT can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, and that is the focus of this book. The DFT is normally encountered as the Fast Fourier Transform (FFT)--a high-speed algorithm for computing the DFT. The FFT is used extensively in a wide range of digital signal processing applications, including spectrum analysis, high-speed convolution (linear filtering), filter banks, signal detection and estimation, system identification, audio compression (such as MPEG-II AAC), spectral modeling sound synthesis, and many others. In this book, certain topics in digital audio signal processing are introduced as example applications of the DFT"--Back cover

Complex Numbers

Complex Numbers PDF Author: Glen Prideaux
Publisher: Lulu.com
ISBN: 1365424898
Category : Education
Languages : en
Pages : 105

Get Book Here

Book Description
A set of well designed, graded practice problems for secondary students covering aspects of complex numbers including modulus, argument, conjugates, arithmetic, the complex plane, roots of quadratic equations, the factor and remainder theorems applied to polynomial functions, Cartesian and polar representations, De Moivre's theorem, complex roots, and Euler's theorem. Solutions are provided for odd-numbered questions.

Comprehensive Mathematics XI

Comprehensive Mathematics XI PDF Author:
Publisher: Laxmi Publications
ISBN: 9788170085973
Category :
Languages : en
Pages : 1242

Get Book Here

Book Description


A Treatise on Algebra

A Treatise on Algebra PDF Author: Elias Loomis
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 386

Get Book Here

Book Description


Self-Help to ISC Understanding Mathematics (Solutions of M.L. Aggarwal) - 11

Self-Help to ISC Understanding Mathematics (Solutions of M.L. Aggarwal) - 11 PDF Author: Munish Sethi
Publisher: Ravinder Singh and sons
ISBN:
Category : Education
Languages : en
Pages : 1070

Get Book Here

Book Description
Solutions of APC Understanding Mathematics 11 For Revised Examination 2022

 PDF Author:
Publisher: Arihant Publications India limited
ISBN:
Category :
Languages : en
Pages :

Get Book Here

Book Description


Roots

Roots PDF Author: Tara O'Conno
Publisher: IDW Publishing
ISBN: 168406306X
Category : Comics & Graphic Novels
Languages : en
Pages : 156

Get Book Here

Book Description
On a journey to the old world„she discovered a whole new world. After a messy year of heartbreak and setbacks, Tara sets off to Ireland in search of clues to her familyÍs ancestry, but what she found wasn't at all what she expected. Some of it has to do with the lack of records, but a lot has to do with John, the charming cartoonist she met on Twitter. Wrapped in real family history and set amongst the natural beauty of the Irish countryside, Roots is a classic romantic-comedy adventure and a page-turning account of a young woman finding herself.

Solving Polynomial Equation Systems I

Solving Polynomial Equation Systems I PDF Author: Teo Mora
Publisher: Cambridge University Press
ISBN: 9780521811545
Category : Mathematics
Languages : en
Pages : 452

Get Book Here

Book Description
Computational algebra; computational number theory; commutative algebra; handbook; reference; algorithmic; modern.

Plant Roots

Plant Roots PDF Author: Yoav Waisel
Publisher: CRC Press
ISBN: 0824744748
Category : Science
Languages : en
Pages : 1749

Get Book Here

Book Description
The third edition of a standard resource, this book offers a state-of-the-art, multi-disciplinary presentation of plant roots. It examines structure and development, assemblage of root systems, metabolism and growth, stressful environments, and interactions at the rhizosphere. Reflecting the explosion of advances and emerging technologies in the field, the book presents developments in the study of root origin, composition, formation, and behavior for the production of novel pharmaceutical and medicinal compounds, agrochemicals, dyes, flavors, and pesticides. It details breakthroughs in genetics, molecular biology, growth substance physiology, biotechnology, and biomechanics.