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Author : David Barton
Publisher :
ISBN 13 : 9781486005185
Total Pages : 610 pages
Book Rating : 4.0/5 (51 download)
Download or read book Delta Mathematics written by David Barton and published by . This book was released on 2013-07-09 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Barton
Publisher :
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.:/5 (124 download)
Download or read book Delta Mathematics written by David Barton and published by . This book was released on 2002 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nick Asker
Publisher :
ISBN 13 : 9781447962359
Total Pages : 264 pages
Book Rating : 4.9/5 (623 download)
Download or read book KS3 Maths Progress Student Book Delta 2 written by Nick Asker and published by . This book was released on 2014-08-27 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly 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
Author : R F Hoskins
Publisher : Elsevier
ISBN 13 : 0857099353
Total Pages : 283 pages
Book Rating : 4.8/5 (57 download)
Download or read book Delta Functions written by R F Hoskins and published by Elsevier. This book was released on 2009-03-31 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delta Functions has now been updated, restructured and modernised into a second edition, to answer specific difficulties typically found by students encountering delta functions for the first time. In particular, the treatment of the Laplace transform has been revised with this in mind. The chapter on Schwartz distributions has been considerably extended and the book is supplemented by a fuller review of Nonstandard Analysis and a survey of alternative infinitesimal treatments of generalised functions. Dealing with a difficult subject in a simple and straightforward way, the text is readily accessible to a broad audience of scientists, mathematicians and engineers. It can be used as a working manual in its own right, and serves as a preparation for the study of more advanced treatises. Little more than a standard background in calculus is assumed, and attention is focused on techniques, with a liberal selection of worked examples and exercises. Second edition has been updated, restructured and modernised to answer specific difficulties typically found by students encountering delta functions for the first time Attention is focused on techniques, with a liberal selection of worked examples and exercises Readily accessible to a broad audience of scientists, mathematicians and engineers and can be used as a working manual in its own right
Author : Sanjoy Mahajan
Publisher : MIT Press
ISBN 13 : 0262265591
Total Pages : 152 pages
Book Rating : 4.2/5 (622 download)
Download or read book Street-Fighting Mathematics written by Sanjoy Mahajan and published by MIT Press. This book was released on 2010-03-05 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: An 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 : Pearson Education, Limited
Publisher :
ISBN 13 : 9781447962380
Total Pages : 256 pages
Book Rating : 4.9/5 (623 download)
Download or read book KS3 Maths Progress Student Book Delta 3 written by Pearson Education, Limited and published by . This book was released on 2014-11-19 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly 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
Author : Otávio Bueno
Publisher : Oxford University Press
ISBN 13 : 0192546651
Total Pages : 288 pages
Book Rating : 4.1/5 (925 download)
Download or read book Applying Mathematics written by Otávio Bueno and published by Oxford University Press. This book was released on 2018-05-24 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: How 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.
Author : Alan Jeffrey
Publisher : Elsevier
ISBN 13 : 9780080522968
Total Pages : 1184 pages
Book Rating : 4.5/5 (229 download)
Download or read book Advanced Engineering Mathematics written by Alan Jeffrey and published by Elsevier. This book was released on 2001-06-19 with total page 1184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced 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
Author : Ralph W. Oberste-Vorth
Publisher : American Mathematical Soc.
ISBN 13 : 1614446067
Total Pages : 232 pages
Book Rating : 4.6/5 (144 download)
Download or read book Bridge to Abstract Mathematics written by Ralph W. Oberste-Vorth and published by American Mathematical Soc.. This book was released on 2012-12-31 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Bridge to Abstract Mathematics will prepare the mathematical novice to explore the universe of abstract mathematics. Mathematics is a science that concerns theorems that must be proved within the constraints of a logical system of axioms and definitions rather than theories that must be tested, revised, and retested. Readers will learn how to read mathematics beyond popular computational calculus courses. Moreover, readers will learn how to construct their own proofs. The book is intended as the primary text for an introductory course in proving theorems, as well as for self-study or as a reference. Throughout the text, some pieces (usually proofs) are left as exercises. Part V gives hints to help students find good approaches to the exercises. Part I introduces the language of mathematics and the methods of proof. The mathematical content of Parts II through IV were chosen so as not to seriously overlap the standard mathematics major. In Part II, students study sets, functions, equivalence and order relations, and cardinality. Part III concerns algebra. The goal is to prove that the real numbers form the unique, up to isomorphism, ordered field with the least upper bound. In the process, we construct the real numbers starting with the natural numbers. Students will be prepared for an abstract linear algebra or modern algebra course. Part IV studies analysis. Continuity and differentiation are considered in the context of time scales (nonempty, closed subsets of the real numbers). Students will be prepared for advanced calculus and general topology courses. There is a lot of room for instructors to skip and choose topics from among those that are presented.
Author : N. S. K. Hellerstein
Publisher : World Scientific
ISBN 13 : 9789812796080
Total Pages : 296 pages
Book Rating : 4.7/5 (96 download)
Download or read book Delta written by N. S. K. Hellerstein and published by World Scientific. This book was released on 1997 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about OC deltaOCO, a paradox logic. In delta, a statement can be true yet false; an intermediate state, midway between being and non-being. Delta''s imaginary value solves many paradoxes unsolvable in two-valued Boolean logic, including Russell''s, Cantor''s, Berry''s and Zeno''s.Delta has three parts: OC inner delta logicOCO, covering OC Kleenean logicOCO, which resolves self-reference; outer delta logic, covering Z mod 3, conjugate logics, cyclic distribution, and the voter''s paradox; and OC beyond delta logicOCO, covering four-valued logic and games."
Author : Leslie Copley
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110426242
Total Pages : 498 pages
Book Rating : 4.1/5 (14 download)
Download or read book Mathematics for the Physical Sciences written by Leslie Copley and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-03-30 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 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.
Author : Nathaniel Hellerstein
Publisher : World Scientific
ISBN 13 : 9810232438
Total Pages : 290 pages
Book Rating : 4.8/5 (12 download)
Download or read book Delta written by Nathaniel Hellerstein and published by World Scientific. This book was released on 1997 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about "delta", a paradox logic. In delta, a statement can be true yet false; it is an "imaginary" state, midway between being and non-being. Delta's imaginary value solves many logical dilemmas unsolvable in two-valued Boolean logic. Delta resolves these paradoxes -- Russell's, Cantor's, Betty's and Zeno's. Delta has two parts: inner delta logic, or "Kleenean logic", which resolves the classic paradoxes of mathematical logic; and outer delta logic, which relates delta to Z mod 3, conjugate logics, cyclic distribution, and the voter' paradox.
Author : David Barton
Publisher :
ISBN 13 : 9780582857582
Total Pages : 356 pages
Book Rating : 4.8/5 (575 download)
Download or read book Delta Mathematics written by David Barton and published by . This book was released on 1989-07-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Designed for the seventh form 'Mathematics with Calculus' course, Delta Mathematics gives a comprehensive coverage of all aspects of the prescription. About one-third of the book is devoted to Calculus (differentiation, integration, and differential equations), with the remaining part covering Algebra (complex numbers, sequences, and the Binomial theorem), Geometry, and Trigonometry"--Back cover.
Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)
Download or read book Advanced Calculus written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author : Jack Lancaster
Publisher : CRC Press
ISBN 13 : 1498751628
Total Pages : 322 pages
Book Rating : 4.4/5 (987 download)
Download or read book Fundamental Mathematics and Physics of Medical Imaging written by Jack Lancaster and published by CRC Press. This book was released on 2016-10-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by a leading educator, this book teaches the fundamental mathematics and physics concepts associated with medical imaging systems. Going beyond mere description of imaging modalities, this book delves into the mechanisms of image formation and image quality common to all imaging systems: contrast mechanisms, noise, and spatial and temporal resolution, making it an important reference for medical physicists and biomedical engineering students. This is an extensively revised new edition of The Physics of Medical X-Ray Imaging by Bruce Hasegawa (Medical Physics Publishing, 1991), and includes a wide range of modalities such as X-ray CT, MRI and SPECT.
Author : Gregory Hartman
Publisher :
ISBN 13 : 9781514225158
Total Pages : 0 pages
Book Rating : 4.2/5 (251 download)
Download or read book APEX Calculus written by Gregory Hartman and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: APEX 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).
Author : Terence Tao
Publisher : American Mathematical Soc.
ISBN 13 : 1470466406
Total Pages : 206 pages
Book Rating : 4.4/5 (74 download)
Download or read book An Introduction to Measure Theory written by Terence Tao and published by American Mathematical Soc.. This book was released on 2021-09-03 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
