Book picks similar to
Foundations of Set Theory by Abraham Adolf Fraenkel
logic
mathematics
math
set-theory
Theodicy: Essays on the Goodness of God, the Freedom of Man & the Origin of Evil
Gottfried Wilhelm Leibniz - 1710
That does not mean that his head was in the clouds, or that the particular sciences lacked interest for him. Not at all--he felt a lively concern for theological debate, he was a mathematician of the first rank, he made original contributions to physics, he gave a realistic attention to moral psychology. But he was incapable of looking at the objects of any special enquiry without seeing them as aspects or parts of one intelligible universe. He strove constantly after system, and the instrument on which his effort relied was the speculative reason. He embodied in an extreme form the spirit of his age. Nothing could be less like the spirit of ours. To many people now alive metaphysics means a body of wild and meaningless assertions resting on spurious argument. A professor of metaphysics may nowadays be held to deal handsomely with theduties of his chair if he is prepared to handle metaphysical statements at all, though it be only for the purpose of getting rid of them, by showing them up as confused forms of something else. A chair in metaphysical philosophy becomes analogous to a chair in tropical diseases: what is taught from it is not the propagation but the cure.Confidence in metaphysical construction has ebbed and flowed through philosophical history; periods of speculation have been followed by periods of criticism. The tide will flow again, but it has not turned yet, and [8] such metaphysicians as survive scarcely venture further than to argue a case for the possibility of their art. It would be an embarrassing task to open an approach to Leibnitian metaphysics from the present metaphysical position, if there is a present position. If we want an agreed starting-point, it will have to be historical.The historical importance of Leibniz's ideas is anyhow unmistakable. If metaphysical thinking is nonsensical, its empire over the human imagination must still be confessed; if it is as chimerical a science as alchemy, it is no less fertile in by-products of importance. And if we are to consider Leibniz historically, we cannot do better than take up his _Theodicy_, fortwo reasons. It was the only one of his main philosophical works to be published in his lifetime, so that it was a principal means of his direct influence; the Leibniz his own age knew was the Leibniz of the _Theodicy_. Then in the second place, the _Theodicy_ itself is peculiarly rich in historical material. It reflects the world of men and books which Leibnizknew; it expresses the theological setting of metaphysical speculation which still predominated in the first years of the eighteenth century........
The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics
Marcus du Sautoy - 2003
The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved but one that baffles mathematicians to this day.Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting-edge of science, affecting quantum mechanics, chaos theory, and the future of computing. Leaders in math and science are trying to crack the elusive code, and a prize of $1 million has been offered to the winner. In this engaging book, Marcus du Sautoy reveals the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.
Schaum's Outline of Calculus
Frank Ayres Jr. - 1990
They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..
Isaac Newton
James Gleick - 2003
When he died in London in 1727 he was so renowned he was given a state funeral—an unheard-of honor for a subject whose achievements were in the realm of the intellect. During the years he was an irascible presence at Trinity College, Cambridge, Newton imagined properties of nature and gave them names—mass, gravity, velocity—things our science now takes for granted. Inspired by Aristotle, spurred on by Galileo’s discoveries and the philosophy of Descartes, Newton grasped the intangible and dared to take its measure, a leap of the mind unparalleled in his generation.James Gleick, the author of Chaos and Genius, and one of the most acclaimed science writers of his generation, brings the reader into Newton’s reclusive life and provides startlingly clear explanations of the concepts that changed forever our perception of bodies, rest, and motion. Ideas so basic to the twenty-first century we literally take them for granted.
KLB Mathematics: SHS; Form 1
Kenya Literature Bureau - 2013
Worldreader addresses that problem using e-reader technology. Worldreader works with textbook publishers across the developing world to offer a range of digital textbooks to schools as part of their wider goal to promote literacy by bringing books to all.
Complexity and Chaos
Roger White - 1994
But scientists in the late 20th century have found patterns in things formerly thought to be chaotic; their theories help explain the unstable irregular yet highly structured features of everyday experience. It now seems likely that randomness and chaos play an essential role in the evolution of the living world-and of intelligence itself. Script by Dr. Roger White.
Connecting with Students Online: Strategies for Remote Teaching & Learning
Jennifer Serravallo - 2020
Now that you're making the shift to online teaching, it's time to answer your biggest questions about remote, digitally based instruction:How do I build and nurture relationships with students and their at-home adults from afar? How do I adapt my best teaching to an online setting? How do I keep a focus on students and their needs when they aren't in front of me? Jennifer Serravallo's Connecting with Students Online gives you concise, doable answers based on her own experiences and those of the teachers, administrators, and coaches she has communicated with during the pandemic. Focusing on the vital importance of the teacher-student connection, Jen guides you to:effectively prioritize what matters most during remote, online instruction schedule your day and your students' to maximize teaching and learning (and avoid burnout) streamline curricular units and roll them out digitally record highly engaging short lessons that students will enjoy and learn from confer, working with small groups, and drive learning through independent practice partner with the adults in a student's home to support your work with their child. Featuring simplified, commonsense suggestions, 55 step-by-step teaching strategies, and video examples of Jen conferring and working with small groups, Connecting with Students Online helps new teachers, teachers new to technology, or anyone who wants to better understand the essence of effective online instruction. Along the way Jen addresses crucial topics including assessment and progress monitoring, student engagement and accountability, using anchor charts and visuals, getting books into students' hands, teaching subject-area content, and avoiding teacher burnout.During this pandemic crisis turn to one of education's most trusted teaching voices to help you restart or maintain students' progress. Jennifer Serravallo's Connecting with Students Online is of-the-moment, grounded in important research, informed by experience, and designed to get you teaching well-and confidently-as quickly as possible. Jen will be donating a portion of the proceeds from Connecting with Students Online to organizations that help children directly impacted by COVID-19.
The Universe and the Teacup: The Mathematics of Truth and Beauty
K.C. Cole - 1998
In The Universe and the Teacup, K. C. Cole demystifies mathematics and shows us-with humor and wonderfully accessible stories-why math need not be frightening. Using the O. J. Simpson trial, the bell curve, and Emmy Noether, the nineteenth-century woman scientist whose work was essential for Einstein's theory of relativity, Cole helps us see that more than just being a tool, math is a key to understanding the beauty of everything from rainbows to relativity.
About Teaching Mathematics 036068
Marilyn Burns - 1977
Containing information necessary for teachers to teach math through problem solving, this resource is filled with engaging activities from every strand of mathematics.
Tolerance
Hendrik Willem van Loon - 1925
The history of Tolerance (or the lack thereof) in the history of man as described by one of the best popular historians of all time
The Art of Mathematics
Jerry P. King - 1992
Jerry King is no exception. His informal, nontechnical book, as its title implies, is organized around what Bertrand Russell called the 'supreme beauty' of mathematics--a beauty 'capable of a stern perfection such as only the greatest art can show.'NATUREIn this clear, concise, and superbly written volume, mathematics professor and poet Jerry P. King reveals the beauty that is at the heart of mathematics--and he makes that beauty accessible to all readers. Darting wittily from Euclid to Yeats, from Poincare to Rembrandt, from axioms to symphonies, THE ART OF MATHEMATICS explores the difference between real, rational, and complex numbers; analyzes the intellectual underpinnings of pure and applied mathematics; and reveals the fundamental connection between aesthetics and mathematics. King also sheds light on how mathematicians pursue their research and how our educational system perpetuates the damaging divisions between the two cultures.