Author: Michael Bradley
Publisher: Infobase Holdings, Inc
ISBN: 1438182309
Category : Mathematics
Languages : en
Pages : 150
Book Description
Tracing the development of mathematics from a biographical standpoint, Mathematics Frontiers, Updated Edition profiles innovators from the second half of the 20th century who made significant discoveries in both pure and applied mathematics. The 10 mathematicians in this updated edition exemplify a growing diversity within the mathematical community, drawing from the talents of individuals across all nationalities, races, and genders. From John H. Conway, who helped complete the classification of all finite groups (and invented "The Game of Life" board game), to Stephen Hawking, who established the mathematical basis for black holes, to Fan Chung, who developed an encoding and decoding algorithm for phone calls, this lively survey of contemporary minds behind the math is ideal for middle and high school students seeking resources for research or general interest.
Mathematics Frontiers, Updated Edition
Author: Michael Bradley
Publisher: Infobase Holdings, Inc
ISBN: 1438182309
Category : Mathematics
Languages : en
Pages : 150
Book Description
Tracing the development of mathematics from a biographical standpoint, Mathematics Frontiers, Updated Edition profiles innovators from the second half of the 20th century who made significant discoveries in both pure and applied mathematics. The 10 mathematicians in this updated edition exemplify a growing diversity within the mathematical community, drawing from the talents of individuals across all nationalities, races, and genders. From John H. Conway, who helped complete the classification of all finite groups (and invented "The Game of Life" board game), to Stephen Hawking, who established the mathematical basis for black holes, to Fan Chung, who developed an encoding and decoding algorithm for phone calls, this lively survey of contemporary minds behind the math is ideal for middle and high school students seeking resources for research or general interest.
Publisher: Infobase Holdings, Inc
ISBN: 1438182309
Category : Mathematics
Languages : en
Pages : 150
Book Description
Tracing the development of mathematics from a biographical standpoint, Mathematics Frontiers, Updated Edition profiles innovators from the second half of the 20th century who made significant discoveries in both pure and applied mathematics. The 10 mathematicians in this updated edition exemplify a growing diversity within the mathematical community, drawing from the talents of individuals across all nationalities, races, and genders. From John H. Conway, who helped complete the classification of all finite groups (and invented "The Game of Life" board game), to Stephen Hawking, who established the mathematical basis for black holes, to Fan Chung, who developed an encoding and decoding algorithm for phone calls, this lively survey of contemporary minds behind the math is ideal for middle and high school students seeking resources for research or general interest.
Mathematics: Frontiers and Perspectives
Author: Vladimir Igorevich Arnolʹd
Publisher: American Mathematical Soc.
ISBN: 9780821826973
Category : Mathematics
Languages : en
Pages : 476
Book Description
A celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the book was born as part of the activities of World Mathematical Year 2000. It consists of 28 articles written by influential mathematicians.
Publisher: American Mathematical Soc.
ISBN: 9780821826973
Category : Mathematics
Languages : en
Pages : 476
Book Description
A celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the book was born as part of the activities of World Mathematical Year 2000. It consists of 28 articles written by influential mathematicians.
Theories of Mathematics Education
Author: Bharath Sriraman
Publisher: Springer Science & Business Media
ISBN: 3642007422
Category : Education
Languages : en
Pages : 650
Book Description
Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.
Publisher: Springer Science & Business Media
ISBN: 3642007422
Category : Education
Languages : en
Pages : 650
Book Description
Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.
Trick or Truth?
Author: Anthony Aguirre
Publisher: Springer
ISBN: 3319274953
Category : Science
Languages : en
Pages : 253
Book Description
The prize-winning essays in this book address the fascinating but sometimes uncomfortable relationship between physics and mathematics. Is mathematics merely another natural science? Or is it the result of human creativity? Does physics simply wear mathematics like a costume, or is math the lifeblood of physical reality? The nineteen wide-ranging, highly imaginative and often entertaining essays are enhanced versions of the prize-winning entries to the FQXi essay competition “Trick or Truth”, which attracted over 200 submissions. The Foundational Questions Institute, FQXi, catalyzes, supports, and disseminates research on questions at the foundations of physics and cosmology, particularly new frontiers and innovative ideas integral to a deep understanding of reality, but unlikely to be supported by conventional funding sources.
Publisher: Springer
ISBN: 3319274953
Category : Science
Languages : en
Pages : 253
Book Description
The prize-winning essays in this book address the fascinating but sometimes uncomfortable relationship between physics and mathematics. Is mathematics merely another natural science? Or is it the result of human creativity? Does physics simply wear mathematics like a costume, or is math the lifeblood of physical reality? The nineteen wide-ranging, highly imaginative and often entertaining essays are enhanced versions of the prize-winning entries to the FQXi essay competition “Trick or Truth”, which attracted over 200 submissions. The Foundational Questions Institute, FQXi, catalyzes, supports, and disseminates research on questions at the foundations of physics and cosmology, particularly new frontiers and innovative ideas integral to a deep understanding of reality, but unlikely to be supported by conventional funding sources.
Extending the Frontiers of Mathematics
Author: Edward B. Burger
Publisher:
ISBN: 9780470458396
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9780470458396
Category :
Languages : en
Pages :
Book Description
Optimization Software Guide
Author: Jorge J. More
Publisher: SIAM
ISBN: 0898713226
Category : Mathematics
Languages : en
Pages : 149
Book Description
Mathematics of Computing -- Numerical Analysis.
Publisher: SIAM
ISBN: 0898713226
Category : Mathematics
Languages : en
Pages : 149
Book Description
Mathematics of Computing -- Numerical Analysis.
Iterative Methods for Optimization
Author: C. T. Kelley
Publisher: SIAM
ISBN: 9781611970920
Category : Mathematics
Languages : en
Pages : 195
Book Description
This book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A companion to Kelley's book, Iterative Methods for Linear and Nonlinear Equations (SIAM, 1995), this book contains many exercises and examples and can be used as a text, a tutorial for self-study, or a reference. Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke-Jeeves, implicit filtering, MDS, and Nelder-Mead schemes in a unified way, and also the first book to make connections between sampling methods and the traditional gradient-methods. Each of the main algorithms in the text is described in pseudocode, and a collection of MATLAB codes is available. Thus, readers can experiment with the algorithms in an easy way as well as implement them in other languages.
Publisher: SIAM
ISBN: 9781611970920
Category : Mathematics
Languages : en
Pages : 195
Book Description
This book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A companion to Kelley's book, Iterative Methods for Linear and Nonlinear Equations (SIAM, 1995), this book contains many exercises and examples and can be used as a text, a tutorial for self-study, or a reference. Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke-Jeeves, implicit filtering, MDS, and Nelder-Mead schemes in a unified way, and also the first book to make connections between sampling methods and the traditional gradient-methods. Each of the main algorithms in the text is described in pseudocode, and a collection of MATLAB codes is available. Thus, readers can experiment with the algorithms in an easy way as well as implement them in other languages.
Chaos and Fractals
Author: Heinz-Otto Peitgen
Publisher: Springer Science & Business Media
ISBN: 1475747403
Category : Mathematics
Languages : en
Pages : 1013
Book Description
For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.
Publisher: Springer Science & Business Media
ISBN: 1475747403
Category : Mathematics
Languages : en
Pages : 1013
Book Description
For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.
Transport Equations in Biology
Author: Benoît Perthame
Publisher: Springer Science & Business Media
ISBN: 3764378425
Category : Science
Languages : en
Pages : 206
Book Description
This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions. The book further contains many original PDE problems originating in biosciences.
Publisher: Springer Science & Business Media
ISBN: 3764378425
Category : Science
Languages : en
Pages : 206
Book Description
This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions. The book further contains many original PDE problems originating in biosciences.
Infinity
Author: Michael Heller
Publisher: Cambridge University Press
ISBN: 9781107685482
Category : Mathematics
Languages : en
Pages : 0
Book Description
"The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite." - David Hilbert This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world‐renowned researchers in the fields of mathematics, physics, cosmology, philosophy, and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: Can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.
Publisher: Cambridge University Press
ISBN: 9781107685482
Category : Mathematics
Languages : en
Pages : 0
Book Description
"The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite." - David Hilbert This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world‐renowned researchers in the fields of mathematics, physics, cosmology, philosophy, and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: Can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.