Delta Mathematics
Author: David Barton
Publisher:
Published: 2013-07-09
Total Pages: 610
ISBN-13: 9781486005185
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Lectures on the Philosophy of Mathematics
Author: Joel David Hamkins
Publisher: MIT Press
Published: 2021-03-09
Total Pages: 350
ISBN-13: 0262542234
DOWNLOAD EBOOKAn introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Advanced Engineering Mathematics
Author: Alan Jeffrey
Publisher: Elsevier
Published: 2001-06-19
Total Pages: 1181
ISBN-13: 0080522963
DOWNLOAD EBOOKAdvanced Engineering Mathematics provides comprehensive and contemporary coverage of key mathematical ideas, techniques, and their widespread applications, for students majoring in engineering, computer science, mathematics and physics. Using a wide range of examples throughout the book, Jeffrey illustrates how to construct simple mathematical models, how to apply mathematical reasoning to select a particular solution from a range of possible alternatives, and how to determine which solution has physical significance. Jeffrey includes material that is not found in works of a similar nature, such as the use of the matrix exponential when solving systems of ordinary differential equations. The text provides many detailed, worked examples following the introduction of each new idea, and large problem sets provide both routine practice, and, in many cases, greater challenge and insight for students. Most chapters end with a set of computer projects that require the use of any CAS (such as Maple or Mathematica) that reinforce ideas and provide insight into more advanced problems. - Comprehensive coverage of frequently used integrals, functions and fundamental mathematical results - Contents selected and organized to suit the needs of students, scientists, and engineers - Contains tables of Laplace and Fourier transform pairs - New section on numerical approximation - New section on the z-transform - Easy reference system
Applying Mathematics
Author: Otávio Bueno
Publisher: Oxford University Press
Published: 2018-05-24
Total Pages: 276
ISBN-13: 0192546651
DOWNLOAD EBOOKHow is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand? What has been called 'the unreasonable effectiveness of mathematics' sets a challenge for philosophers. Some have responded to that challenge by arguing that mathematics is essentially anthropocentric in character, whereas others have pointed to the range of structures that mathematics offers. Otávio Bueno and Steven French offer a middle way, which focuses on the moves that have to be made in both the mathematics and the relevant physics in order to bring the two into appropriate relation. This relation can be captured via the inferential conception of the applicability of mathematics, which is formulated in terms of immersion, inference, and interpretation. In particular, the roles of idealisations and of surplus structure in science and mathematics respectively are brought to the fore and captured via an approach to models and theories that emphasize the partiality of the available information: the partial structures approach. The discussion as a whole is grounded in a number of case studies drawn from the history of quantum physics, and extended to contest recent claims that the explanatory role of certain mathematical structures in scientific practice supports a realist attitude towards them. The overall conclusion is that the effectiveness of mathematics does not seem unreasonable at all once close attention is paid to how it is actually applied in practice.
Delta Mathematics
Author: David Barton
Publisher:
Published: 2002
Total Pages: 500
ISBN-13:
DOWNLOAD EBOOKAPEX Calculus
Author: Gregory Hartman
Publisher:
Published: 2015
Total Pages: 0
ISBN-13: 9781514225158
DOWNLOAD EBOOKAPEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).
Rethinking Mathematics
Author: Eric Gutstein
Publisher: Rethinking Schools
Published: 2005
Total Pages: 192
ISBN-13: 0942961544
DOWNLOAD EBOOKIn this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.
Mathematical Foundations of Quantum Mechanics
Author: John von Neumann
Publisher: Princeton University Press
Published: 2018-02-27
Total Pages: 325
ISBN-13: 1400889928
DOWNLOAD EBOOKQuantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published Mathematical Foundations of Quantum Mechanics--a revolutionary book that for the first time provided a rigorous mathematical framework for the new science. Robert Beyer's 1955 English translation, which von Neumann reviewed and approved, is cited more frequently today than ever before. But its many treasures and insights were too often obscured by the limitations of the way the text and equations were set on the page. In this new edition of this classic work, mathematical physicist Nicholas Wheeler has completely reset the book in TeX, making the text and equations far easier to read. He has also corrected a handful of typographic errors, revised some sentences for clarity and readability, provided an index for the first time, and added prefatory remarks drawn from the writings of Léon Van Hove and Freeman Dyson. The result brings new life to an essential work in theoretical physics and mathematics.
Mathematics for the Physical Sciences
Author: Leslie Copley
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2015-03-30
Total Pages: 498
ISBN-13: 3110426242
DOWNLOAD EBOOKThe book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and “special functions” of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green’s functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.
KS3 Maths Progress Student Book Delta 2
Author: Nick Asker
Publisher:
Published: 2014-08-27
Total Pages: 264
ISBN-13: 9781447962359
DOWNLOAD EBOOKHighly motivating differentiated Student Books develop confidence, fluency and problem-solving, supporting progression: * Full ability range: Alpha (Access), Pi (Tier 1), Theta (Tier 2) and Delta (Tier 3) * Unit structure based on mastery lessons, formative test, consolidation and extension lessons and a summative unit test * Reflection (metacognition) is explicitly encouraged to build perseverance and confidence * STEM and Finance lessons highlight these important links to using maths in real life * Reasoning and Problem-solving are nurtured in preparation for progressing to GCSE
