An Essay on the Psychology of Invention in the Mathematical Field

Author: Jacques Hadamard

Publisher: Read Books Ltd

ISBN:

Category: Mathematics

Page: 164

View: 394

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

Einstein for the 21st Century

His Legacy in Science, Art, and Modern Culture

Author: Mallinckrodt Research Professor of Physics and Research Professor of History of Science Gerald Holton

Publisher: Princeton University Press

ISBN:

Category: Biography & Autobiography

Page: 363

View: 126

"A stellar array of twenty historians and philosophers, artists and scientists, and writers and critics has contributed to this fascinating examination of Albert Einstein's legacy and its relevance for our times. We are presented with a multifaceted, interpretive effort to understand in novel terms Einstein's science, music, and politics, his relationship to God and aesthetics, and his unusual position at the divide between a now-vanished world and a future that will surely retain deep traces of his unique contributions and personality."--Diana K. Buchwald, Einstein Papers Project, Caltech "Whether serendipitously or by design, many of us have found ourselves involved in some aspect of Einstein's multifaceted legacy. This far-reaching volume of personal essays clarifies why Einstein's persona has been so seductive and so meaningful to us all."--Alice Calaprice, editor of The New Quotable Einstein "Here is the complete Einstein: the physicist, whose many insights and achievements persist at the forefront of modern science; the man, who remained idealistic, philosophically minded, and politically engaged throughout his life; and the iconic visionary, who continues to inspire individual creativity. This is a generous book, rich with detail."--Tony Robbin, author of Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought "Einstein for the 21st Century is accessible to a broad readership and attractive because its distinguished authors, all experts in their disciplines, cover a very large intellectual space. There are so many fine and interesting contributions that there is something for nearly every potential reader."--Helge Kragh, University of Aarhus, Denmark

Broadening the Scope of Research on Mathematical Problem Solving

A Focus on Technology, Creativity and Affect

Author: Nélia Amado

Publisher: Springer

ISBN:

Category: Education

Page: 579

View: 915

The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume’s three major themes—technology, creativity, and affect—represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book’s new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interested in mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.

Frege

A Philosophical Biography

Author: Dale Jacquette

Publisher: Cambridge University Press

ISBN:

Category: Philosophy

Page: 667

View: 861

Gottlob Frege (1848–1925) is one of the founding figures of analytic philosophy, whose contributions to logic, philosophical semantics, philosophy of language, and philosophy of mathematics set the agenda for future generations of theorists in these and related areas. Dale Jacquette's lively and incisive biography charts Frege's life from its beginnings in small-town north Germany, through his student days in Jena, to his development as an enduringly influential thinker. Along the way Jacquette considers Frege's ground-breaking Begriffschrift (1879), in which he formulated his 'ideal logical language', his magisterial Grundgesetze der Arithmetik (1893 and 1903), and his complex relation to thinkers including Husserl and especially Russell, whose Paradox had such drastic implications for Frege's logicism. Jacquette concludes with a thoughtful assessment of Frege's legacy. His rich and informative biography will appeal to all who are interested in Frege's philosophy.

A Century in Books

Princeton University Press 1905-2005

Author:

Publisher: Princeton University Press

ISBN:

Category: Language Arts & Disciplines

Page: 167

View: 371

'A Century In Books' chronicles the 100-year history of the Princeton University Press and highlights 100 of the nearly 8000 books it has produced over the past century.

Musimathics, Volume 2

The Mathematical Foundations of Music

Author: Gareth Loy

Publisher: MIT Press

ISBN:

Category: Music

Page: 579

View: 605

The second volume of a commonsense, self-contained introduction to the mathematics and physics of music, focusing on the digital and computational domain; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science. Volume 2 of Musimathics continues the story of music engineering begun in Volume 1, focusing on the digital and computational domain. Loy goes deeper into the mathematics of music and sound, beginning with digital audio, sampling, and binary numbers, as well as complex numbers and how they simplify representation of musical signals. Chapters cover the Fourier transform, convolution, filtering, resonance, the wave equation, acoustical systems, sound synthesis, the short-time Fourier transform, and the wavelet transform. These subjects provide the theoretical underpinnings of today's music technology. The examples given are all practical problems in music and audio. Additional material can be found at http://www.musimathics.com.