Oxford Insight Mathematics
Author: John Ley
Publisher:
Published: 2014
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: John Ley
Publisher:
Published: 2014
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: John Ley
Publisher:
Published: 2014
Total Pages: 392
ISBN-13: 9780195522563
DOWNLOAD EBOOKOxford Insight Mathematics has been substantially revised to reflect the requirements of the Australian Curriculum: Mathematics in New South Wales.Oxford Insight Mathematics supports all students to succeed. The principles underpinning the development and structure of the series are:Peerless Mathematics content for student and educatorsClear and transparent identification of the desired understandings; content and instructional design mapped to deliver those understandingsCarefully considered introduction of concepts to optimise student understanding, retention and applicationInquiry focus to encourage students to discover patterns and concepts for themselvesPlenty of consolidation and reviewAssessment for, as and of learningThe obook is a cloud-based web-book available anywhere, anytime, on any device, navigated by topic or by 'page view'. assess provides 24/7 inquiry-based online tutorials designed to support student comprehension of key mathematical concepts via eTutors, Guided Examples and Test Yourself functionality. assess allows teachers to manage their classes by assigning work, tracking progress and planning assessments and instruction accordingly.
Author: Timothy Gowers
Publisher: Oxford Paperbacks
Published: 2002-08-22
Total Pages: 172
ISBN-13: 9780192853615
DOWNLOAD EBOOKThe aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought.
Author: W. T. Tutte
Publisher: Clarendon Press
Published: 2012-05-24
Total Pages: 164
ISBN-13: 0191637785
DOWNLOAD EBOOKThis book provides a unique and unusual introduction to graph theory by one of the founding fathers, and will be of interest to all researchers in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight into how he was led to his theorems and the proofs he used. As well as being of historical interest it provides a useful starting point for research, with references to further suggested books as well as the original papers. The book starts by detailing the first problems worked on by Professor Tutte and his colleagues during his days as an undergraduate member of the Trinity Mathematical Society in Cambridge. It covers subjects such as comnbinatorial problems in chess, the algebraicization of graph theory, reconstruction of graphs, and the chromatic eigenvalues. In each case fascinating historical and biographical information about the author's research is provided.
Author: Peter M. Higgins
Publisher: OUP Oxford
Published: 1998-03-12
Total Pages: 240
ISBN-13: 019150050X
DOWNLOAD EBOOKWhen do the hands of a clock coincide? How likely is it that two children in the same class will share a birthday? Should you play Roulette or the Lottery? How do we calculate the volume of a doughnut? Why does the android Data in Star Trek lose at poker? What is Fibonacci's Rabbit Problem? Many things in the world have a mathematical side to them, as revealed by the puzzles and questions in this book. It is written for anyone who is curious about mathematics and would like a simple and entertaining account of what it can do. Peter Higgins provides clear explanations of the more mysterious features of childhood mathematics as well as novelties and connections to prove that mathematics can be enjoyable and full of surprises.
Author: Reuben Hersh
Publisher: Oxford University Press
Published: 1997-08-21
Total Pages: 368
ISBN-13: 0198027362
DOWNLOAD EBOOKMost philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.
Author: Jordan Ellenberg
Publisher: Penguin Press
Published: 2014-05-29
Total Pages: 480
ISBN-13: 1594205221
DOWNLOAD EBOOKA brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.
Author: Sanjoy Mahajan
Publisher: MIT Press
Published: 2010-03-05
Total Pages: 152
ISBN-13: 0262265591
DOWNLOAD EBOOKAn antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
Author: Margaret Morrison
Publisher:
Published: 2015
Total Pages: 345
ISBN-13: 0199380279
DOWNLOAD EBOOKAttempts to understand various aspects of the empirical world often rely on modelling processes that involve a reconstruction of systems under investigation. Typically the reconstruction uses mathematical frameworks like gauge theory and renormalization group methods, but more recently simulations also have become an indispensable tool for investigation. This book is a philosophical examination of techniques and assumptions related to modelling and simulation with the goal of showing how these abstract descriptions can contribute to our understanding of the physical world. Particular issues include the role of fictional models in science, how mathematical formalisms can yield physical information, and how we should approach the use of inconsistent models for specific types of systems. It also addresses the role of simulation, specifically the conditions under which simulation can be seen as a technique for measurement, replacing more traditional experimental approaches. Inherent worries about the legitimacy of simulation "knowledge" are also addressed, including an analysis of verification and validation and the role of simulation data in the search for the Higgs boson. In light of the significant role played by simulation in the Large Hadron Collider experiments, it is argued that the traditional distinction between simulation and experiment is no longer applicable in some contexts of modern science. Consequently, a re-evaluation of the way and extent to which simulation delivers empirical knowledge is required. "This is a, lively, stimulating, and important book by one of the main scholars contributing to current topics and debates in our field. It will be a major resource for philosophers of science, their students, scientists interested in examining scientific practice, and the general scientifically literate public."-Bas van Fraassen, Distinguished Professor of Philosophy, San Francisco State University
Author: John Ley
Publisher:
Published: 2013
Total Pages: 544
ISBN-13: 9780195570328
DOWNLOAD EBOOKStudent BookOxford Insight Mathematics has been substantially revised to reflect the requirements of the Australian Curriculum: Mathematics in New South Wales.Oxford Insight Mathematics supports all students to succeed. The principles underpinning the development and structure of the series are:Peerless Mathematics content for student and educatorsClear and transparent identification of the desired understandings; content and instructional design mapped to deliver those understandingsCarefully considered introduction of concepts to optimise student understanding, retention and applicationInquiry focus to encourage students to discover patterns and concepts for themselvesPlenty of consolidation and reviewAssessment for, as and of learning