My Geometry and Trigonometry Collection
Trigonometry
Geometry
Atalay B “Math and the Mona Lisa: The Art and Science of Leonardo da Vinci"
Smithsonian | 2004-04 | ISBN: 1588341712 | 352 pages | PDF | 4,4 MB [/center]
Math and the Mona Lisa sees the transcendant unity of art and science in almost every aspect of Leonardo's life and work. Atalay seeks the consilience of science and art—painting, architecture, sculpture, music, mathematics, physics, biology, astronomy, and engineering—and the unity of the two cultures. He delves deeply into the underlying mathematics and aesthetics of science and art, paying special attention to the mathematical sequence called the Fibonacci series and to the related notion of the "golden ratio" or "divine proportion"—the keys to understanding the unity of art and nature. 32 b/w and 16 color illustrations.
download link:
http://rapidshare.com/files/150502200/Math_and_the_Mona_Lisa_1588341712.rar
Mario Livio “The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetryr"
Simon & Schuster | 2006-08-22 | ISBN: 0743258215 | 368 pages | PDF | 2,1 MB
What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved.
For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory.
The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.
Link:
T[COLOR="Red"Tales_of_Mathematicians_and_Physicists[/color]
"This lively and entertaining book tells "tales'' of Cardano, Galileo, Huygens, Pascal, Gauss.... The reasoning of the scientists discussed is modernized so as to ease the reader's path; thus this book is not a scholarly discussion of the history of science readable only by experts, but a far more valuable work: a readable introduction to the scientific work discussed and the historical context (both scientific and social) in which it took place. Addressed to a "general audience," it deserves to have a wide one.... The author's own lucid style and accurate presentation translated into a smoothly flowing English make this book one which many, from college student to professional, will no doubt read with pleasure and learning."—Zentralblatt MATH
[COLOR=Red]Written by a distinguished mathematician and accessible to readers at all levels, this book is a wonderful resource for both students and teachers and a welcome introduction to the history of science.[/COLOR]
[IMG]http://www.rapidfind.org/upload/images/smilies/smile.gif[/IMG]
Link Code:
[COLOR=Red]Tom Siegfried, A Beautiful Math: John Nash, Game Theory, And the Modern Quest for a Code of Nature
Joseph Henry Press | ISBN 0309101921 | 2006 | PDF | 1 MB | 273 pages[/COLOR][/CENTER]
Link :
[url]http://rapidshare.com/files/145311649/A_Beautiful_Math_John_Nash__Game_Theory__And_the_Modern_Quest_for_a_Code_of_Nature.rar[/url]
[COLOR=Red]Euler The Master Of Us All [/COLOR]
Review
An ideal book for enlivening undergraduate mathematics...he {Dunham} has Euler dazzling us with cleverness, page after page. -- Choice
Mathematician William Dunham has written a superb book about the life and amazing achievements of one of the greatest mathematicians of all time. Unlike earlier writings about Euler, Professor Dunham gives crystal clear accounts of how Euler ingeniously proved his most significant results, and how later experts have stood on Euler's broad shoulders. Such a book has long been overdue. It will not need to be done again for a long long time. -- Martin Gardner
William Dunham has done it again! In "Euler: the Master of Us All", he has produced a masterful portrait of one of the most fertile mathematicians of all time. With Dunham's beautiful clarity and wit, we can follow with amazement Euler's strokes of genius which laid the groundwork for most of the mathematics we have today. -- Ron Graham, Chief Scientist, AT&T
William Dunham has written a superb book about the life and amazing achievements of one of the greatest mathematicians of all time. Unlike earlier writings about Euler, Dunham gives crystal clear accounts of how Euler ingeniously proved his most significant results, and how later experts have stood on Euler's broad shoulders. Such a book has long been overdue. It will not need to be done again for a long, long time.Martin Gardner
Dunham has done it again! In "Euler: The Master of Us All," he has produced a masterful portrait of one of the most fertile mathematicians of all time. With Dunham's beautiful clarity and wit, we can follow with amazement Euler's strokes of genius which laid the groundwork for most of the mathematics we have today. -- Ronald Graham, Chief Scientist, AT&T
Ronald Graham, Chief Scientist, AT&T
William Dunham has written a superb book about the life and amazing achievements of one of the greatest mathematicians of all time. Unlike earlier writings about Euler, Dunham gives crystal clear accounts of how Euler ingeniously proved his most significant results, and how later experts have stood on Euler's broad shoulders. Such a book has long been overdue. It will not need to be done again for a long, long time.Martin Gardner
Dunham has done it again! In "Euler: The Master of Us All," he has produced a masterful portrait of one of the most fertile mathematicians of all time. With Dunham's beautiful clarity and wit, we can follow with amazement Euler's strokes of genius which laid the groundwork for most of the mathematics we have today.
Link Code:
[url]http://rapidshare.com/files/145875987/Euler_The.Master.Of.Us.All_Dunham_0883853280.djvu[/url]
[center][B]Srīnivāsa Rāmāṇujaṇ [/B]
Srīnivāsa Rāmāṇujaṇ Fellow of the Royal Society) (22 December 1887 – 26 April 1920) was an Indian mathematician. With almost no formal training in pure mathematics, he made substantial contributions in the areas of mathematical analysis, number theory, infinite series and continued fractions.
Born and raised in Erode, Tamil Nadu, India, Ramanujan first encountered formal mathematics at age ten. He demonstrated a natural ability, and was given books on advanced trigonometry by S. L. Loney. He had mastered them by age thirteen, and even discovered theorems of his own. He demonstrated unusual mathematical skills at school, winning accolades and awards. By the age of seventeen, he was conducting his own mathematical research on Bernoulli numbers and the Euler–Mascheroni constant. He received a scholarship to study at Government College in Kumbakonam, but lost it when he failed his non-mathematical coursework. He joined another college to pursue independent mathematical research, working as a clerk in the Accountant-General's office at the Madras Port Trust Office to support himself. In 1912-1913, he sent samples of his theorems to three academics at the University of Cambridge. Only G. H. Hardy recognized the brilliance of his work, and he asked Ramanujan to study under him at Cambridge.
Ramanujan independently compiled nearly 3900 results (mostly identities and equations) during his short lifetime. Although a small number of these results were actually false and some were already known, most of his claims have now been proven to be correct. He stated results that were both original and highly unconventional, such as the Ramanujan prime and the Ramanujan theta function, and these have inspired a vast amount of further research. However, some of his major discoveries have been rather slow to enter the mathematical mainstream. Recently, Ramanujan's formulae have found applications in the field of crystallography and in string theory. The Ramanujan Journal, an international publication, was launched to publish work in all the areas of mathematics that were influenced by his work.
The Ramanujan Notebooks Vol 1 to 4
[center][SIZE=4][B]"Read Euler, read Euler, he is the master of us all." [/B][/SIZE]
From the preface of the author: "...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..."
This is a seminal text by one of history's greatest mathematicians. Unique to his great mathematical peers, Euler was also an extraordinary teacher and expositor. His enthusiasm and genius pour through the pages of this book, with Euler making his characteristically bold and ingenious symbolic arguments to come up with many of the well known formulas that were probably mentioned in your math class. For example, Euler brilliantly uses basic algebra (plus infinitesimals) to come up with some very deep and beautiful formulas, such as Sine's infinite product, e's continued fraction expansion and much more. In fact, if you have ever wondered how all of Euler's beautiful formulas that you saw in class were actually derived; here is your chance to get it straight from the genius who discovered them!
As with any book by a mathematician of the highest rank, this is wholly different from any modern "textbook" and should NOT be considered as such. The should be used for self study or as a compliment to a calculus course, or perhaps most of all (like it was intended in those days believe it or not), be read for the pure enjoyment of the subject. Its format is much more flowing and intuitive than a modern textbook; Euler presents clearly stated mathematical arguments (numbered in order), which he then uses and cites later on to produce more mathematical arguments. He also seems to subtly encourage the reader to pursue various ideas for themselves, lending a certain adventurous quality that in NEVER encountered in the "modern" crap texts.
Be forewarned though; it is NOT for the symbolically weak. If you lack skills in basic algebra its best to brush up before you read this book. Just because it is a "pre-calculus" text does not at all mean that this is elementary. This IS however a relatively easy read IMO due to Euler's intuitive style. Euler is the by far the most accessible compared to his modern peers; Newton and Gauss.
[I][COLOR="Red"]Sesuai forum rules, dilarang memasukan software yang kemungkinan ilegal seperti crack, bajakan dan semacamnya. Software freeware dan shareware yang dibagikan/direview secara benar diperbolehkan
Link didelete, thread di closed dan di move ke Archive, jika anda merasa ini kesalahan mohon pm saya[/COLOR][/I]
T[COLOR="Red"Tales_of_Mathematicians_and_Physicists[/color]
"This lively and entertaining book tells "tales'' of Cardano, Galileo, Huygens, Pascal, Gauss.... The reasoning of the scientists discussed is modernized so as to ease the reader's path; thus this book is not a scholarly discussion of the history of science readable only by experts, but a far more valuable work: a readable introduction to the scientific work discussed and the historical context (both scientific and social) in which it took place. Addressed to a "general audience," it deserves to have a wide one.... The author's own lucid style and accurate presentation translated into a smoothly flowing English make this book one which many, from college student to professional, will no doubt read with pleasure and learning."—Zentralblatt MATH
[COLOR=Red]Written by a distinguished mathematician and accessible to readers at all levels, this book is a wonderful resource for both students and teachers and a welcome introduction to the history of science.[/COLOR]
[IMG]http://www.rapidfind.org/upload/images/smilies/smile.gif[/IMG]
Link Code:
[COLOR=Red]Tom Siegfried, A Beautiful Math: John Nash, Game Theory, And the Modern Quest for a Code of Nature
Joseph Henry Press | ISBN 0309101921 | 2006 | PDF | 1 MB | 273 pages[/COLOR][/CENTER]
Link :
[url]http://rapidshare.com/files/145311649/A_Beautiful_Math_John_Nash__Game_Theory__And_the_Modern_Quest_for_a_Code_of_Nature.rar[/url]
[COLOR=Red]Euler The Master Of Us All [/COLOR]
Review
An ideal book for enlivening undergraduate mathematics...he {Dunham} has Euler dazzling us with cleverness, page after page. -- Choice
Mathematician William Dunham has written a superb book about the life and amazing achievements of one of the greatest mathematicians of all time. Unlike earlier writings about Euler, Professor Dunham gives crystal clear accounts of how Euler ingeniously proved his most significant results, and how later experts have stood on Euler's broad shoulders. Such a book has long been overdue. It will not need to be done again for a long long time. -- Martin Gardner
William Dunham has done it again! In "Euler: the Master of Us All", he has produced a masterful portrait of one of the most fertile mathematicians of all time. With Dunham's beautiful clarity and wit, we can follow with amazement Euler's strokes of genius which laid the groundwork for most of the mathematics we have today. -- Ron Graham, Chief Scientist, AT&T
William Dunham has written a superb book about the life and amazing achievements of one of the greatest mathematicians of all time. Unlike earlier writings about Euler, Dunham gives crystal clear accounts of how Euler ingeniously proved his most significant results, and how later experts have stood on Euler's broad shoulders. Such a book has long been overdue. It will not need to be done again for a long, long time.Martin Gardner
Dunham has done it again! In "Euler: The Master of Us All," he has produced a masterful portrait of one of the most fertile mathematicians of all time. With Dunham's beautiful clarity and wit, we can follow with amazement Euler's strokes of genius which laid the groundwork for most of the mathematics we have today. -- Ronald Graham, Chief Scientist, AT&T
Ronald Graham, Chief Scientist, AT&T
William Dunham has written a superb book about the life and amazing achievements of one of the greatest mathematicians of all time. Unlike earlier writings about Euler, Dunham gives crystal clear accounts of how Euler ingeniously proved his most significant results, and how later experts have stood on Euler's broad shoulders. Such a book has long been overdue. It will not need to be done again for a long, long time.Martin Gardner
Dunham has done it again! In "Euler: The Master of Us All," he has produced a masterful portrait of one of the most fertile mathematicians of all time. With Dunham's beautiful clarity and wit, we can follow with amazement Euler's strokes of genius which laid the groundwork for most of the mathematics we have today.
Link Code:
[url]http://rapidshare.com/files/145875987/Euler_The.Master.Of.Us.All_Dunham_0883853280.djvu[/url]
[center][B]Srīnivāsa Rāmāṇujaṇ [/B]
Srīnivāsa Rāmāṇujaṇ Fellow of the Royal Society) (22 December 1887 – 26 April 1920) was an Indian mathematician. With almost no formal training in pure mathematics, he made substantial contributions in the areas of mathematical analysis, number theory, infinite series and continued fractions.
Born and raised in Erode, Tamil Nadu, India, Ramanujan first encountered formal mathematics at age ten. He demonstrated a natural ability, and was given books on advanced trigonometry by S. L. Loney. He had mastered them by age thirteen, and even discovered theorems of his own. He demonstrated unusual mathematical skills at school, winning accolades and awards. By the age of seventeen, he was conducting his own mathematical research on Bernoulli numbers and the Euler–Mascheroni constant. He received a scholarship to study at Government College in Kumbakonam, but lost it when he failed his non-mathematical coursework. He joined another college to pursue independent mathematical research, working as a clerk in the Accountant-General's office at the Madras Port Trust Office to support himself. In 1912-1913, he sent samples of his theorems to three academics at the University of Cambridge. Only G. H. Hardy recognized the brilliance of his work, and he asked Ramanujan to study under him at Cambridge.
Ramanujan independently compiled nearly 3900 results (mostly identities and equations) during his short lifetime. Although a small number of these results were actually false and some were already known, most of his claims have now been proven to be correct. He stated results that were both original and highly unconventional, such as the Ramanujan prime and the Ramanujan theta function, and these have inspired a vast amount of further research. However, some of his major discoveries have been rather slow to enter the mathematical mainstream. Recently, Ramanujan's formulae have found applications in the field of crystallography and in string theory. The Ramanujan Journal, an international publication, was launched to publish work in all the areas of mathematics that were influenced by his work.
The Ramanujan Notebooks Vol 1 to 4
[center][SIZE=4][B]"Read Euler, read Euler, he is the master of us all." [/B][/SIZE]
From the preface of the author: "...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..."
This is a seminal text by one of history's greatest mathematicians. Unique to his great mathematical peers, Euler was also an extraordinary teacher and expositor. His enthusiasm and genius pour through the pages of this book, with Euler making his characteristically bold and ingenious symbolic arguments to come up with many of the well known formulas that were probably mentioned in your math class. For example, Euler brilliantly uses basic algebra (plus infinitesimals) to come up with some very deep and beautiful formulas, such as Sine's infinite product, e's continued fraction expansion and much more. In fact, if you have ever wondered how all of Euler's beautiful formulas that you saw in class were actually derived; here is your chance to get it straight from the genius who discovered them!
As with any book by a mathematician of the highest rank, this is wholly different from any modern "textbook" and should NOT be considered as such. The should be used for self study or as a compliment to a calculus course, or perhaps most of all (like it was intended in those days believe it or not), be read for the pure enjoyment of the subject. Its format is much more flowing and intuitive than a modern textbook; Euler presents clearly stated mathematical arguments (numbered in order), which he then uses and cites later on to produce more mathematical arguments. He also seems to subtly encourage the reader to pursue various ideas for themselves, lending a certain adventurous quality that in NEVER encountered in the "modern" crap texts.
Be forewarned though; it is NOT for the symbolically weak. If you lack skills in basic algebra its best to brush up before you read this book. Just because it is a "pre-calculus" text does not at all mean that this is elementary. This IS however a relatively easy read IMO due to Euler's intuitive style. Euler is the by far the most accessible compared to his modern peers; Newton and Gauss.
[I][COLOR="Red"]Sesuai forum rules, dilarang memasukan software yang kemungkinan ilegal seperti crack, bajakan dan semacamnya. Software freeware dan shareware yang dibagikan/direview secara benar diperbolehkan
Link didelete, thread di closed dan di move ke Archive, jika anda merasa ini kesalahan mohon pm saya[/COLOR][/I]
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