The Six Pillars of Calculus: Biology Edition

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Author :
Publisher : American Mathematical Society
ISBN 13 : 1470469960
Total Pages : 379 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Six Pillars of Calculus: Biology Edition by : Lorenzo Sadun

Download or read book The Six Pillars of Calculus: Biology Edition written by Lorenzo Sadun and published by American Mathematical Society. This book was released on 2023-05-19 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Six Pillars of Calculus: Biology Edition is a conceptual and practical introduction to differential and integral calculus for use in a one- or two-semester course. By boiling calculus down to six common-sense ideas, the text invites students to make calculus an integral part of how they view the world. Each pillar is introduced by tackling and solving a challenging, realistic problem. This engaging process of discovery encourages students to wrestle with the material and understand the reasoning behind the techniques they are learning—to focus on when and why to use the tools of calculus, not just on how to apply formulas. Modeling and differential equations are front and center. Solutions begin with numerical approximations; derivatives and integrals emerge naturally as refinements of those approximations. Students use and modify computer programs to reinforce their understanding of each algorithm. The Biology Edition of the Six Pillars series has been extensively field-tested at the University of Texas. It features hundreds of examples and problems specifically designed for students in the life sciences. The core ideas are introduced by modeling the spread of disease, tracking changes in the amount of $mathrm{CO}_{2}$ in the atmosphere, and optimizing blood flow in the body. Along the way, students learn about optimal drug delivery, population dynamics, chemical equilibria, and probability.

A Discrete Transition to Advanced Mathematics

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Publisher : American Mathematical Society
ISBN 13 : 147047204X
Total Pages : 540 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Discrete Transition to Advanced Mathematics by : Bettina Richmond

Download or read book A Discrete Transition to Advanced Mathematics written by Bettina Richmond and published by American Mathematical Society. This book was released on 2023-08-25 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook bridges the gap between lower-division mathematics courses and advanced mathematical thinking. Featuring clear writing and appealing topics, the book introduces techniques for writing proofs in the context of discrete mathematics. By illuminating the concepts behind techniques, the authors create opportunities for readers to sharpen critical thinking skills and develop mathematical maturity. Beginning with an introduction to sets and logic, the book goes on to establish the basics of proof techniques. From here, chapters explore proofs in the context of number theory, combinatorics, functions and cardinality, and graph theory. A selection of extension topics concludes the book, including continued fractions, infinite arithmetic, and the interplay among Fibonacci numbers, Pascal's triangle, and the golden ratio. A Discrete Transition to Advanced Mathematics is suitable for an introduction to proof course or a course in discrete mathematics. Abundant examples and exercises invite readers to get involved, and the wealth of topics allows for course customization and further reading. This new edition has been expanded and modernized throughout. New features include a chapter on combinatorial geometry, a more in-depth treatment of counting, and over 365 new exercises.

An Introduction to Real Analysis

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Publisher : American Mathematical Society
ISBN 13 : 1470474212
Total Pages : 280 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis An Introduction to Real Analysis by : Yitzhak Katznelson

Download or read book An Introduction to Real Analysis written by Yitzhak Katznelson and published by American Mathematical Society. This book was released on 2024-05-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Real Analysis gives students of mathematics and related sciences an introduction to the foundations of calculus, and more generally, to the analytic way of thinking. The authors' style is a mix of formal and informal, with the intent of illustrating the practice of analysis and emphasizing the process as much as the outcome. The book is intended for use in a one- or two-term course for advanced undergraduates in mathematics and related fields who have completed two or three terms of a standard university calculus sequence.

Introduction to Quantum Algorithms

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Publisher : American Mathematical Society
ISBN 13 : 1470473984
Total Pages : 391 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Introduction to Quantum Algorithms by : Johannes A. Buchmann

Download or read book Introduction to Quantum Algorithms written by Johannes A. Buchmann and published by American Mathematical Society. This book was released on 2024-03-18 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum algorithms are among the most important, interesting, and promising innovations in information and communication technology. They pose a major threat to today's cybersecurity and at the same time promise great benefits by potentially solving previously intractable computational problems with reasonable effort. The theory of quantum algorithms is based on advanced concepts from computer science, mathematics, and physics. Introduction to Quantum Algorithms offers a mathematically precise exploration of these concepts, accessible to those with a basic mathematical university education, while also catering to more experienced readers. This comprehensive book is suitable for self-study or as a textbook for one- or two-semester introductory courses on quantum computing algorithms. Instructors can tailor their approach to emphasize theoretical understanding and proofs or practical applications of quantum algorithms, depending on the course's goals and timeframe.

Linear Algebra

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Publisher : American Mathematical Society
ISBN 13 : 147047736X
Total Pages : 318 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear Algebra by : R¢bert Freud

Download or read book Linear Algebra written by R¢bert Freud and published by American Mathematical Society. This book was released on 2024-10-25 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook invites readers to dive into the mathematical ideas of linear algebra. Offering a gradual yet rigorous introduction, the author illuminates the structure, order, symmetry, and beauty of the topic. Opportunities to explore, master, and extend the theory abound, with generous exercise sets embodying the Hungarian tradition of active problem-solving. Determinants, matrices, and systems of linear equations begin the book. This unique ordering offers insights from determinants early on, while also admitting re-ordering if desired. Chapters on vector spaces, linear maps, and eigenvalues and eigenvectors follow. Bilinear functions and Euclidean spaces build on the foundations laid in the first half of the book to round out the core material. Applications in combinatorics include Hilbert?s third problem, Oddtown and Eventown problems, and Sidon sets, a favorite of Paul Erd?s. Coding theory applications include error-correction, linear, Hamming, and BCH codes. An appendix covers the algebraic basics used in the text. Ideal for students majoring in mathematics and computer science, this textbook promotes a deep and versatile understanding of linear algebra. Familiarity with mathematical proof is assumed, though no prior knowledge of linear algebra is needed. Supplementary electronic materials support teaching and learning, with selected answers, hints, and solutions, and an additional problem bank for instructors.

Introduction to Mathematics

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Publisher : American Mathematical Society
ISBN 13 : 1470471884
Total Pages : 445 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Introduction to Mathematics by : Scott A. Taylor

Download or read book Introduction to Mathematics written by Scott A. Taylor and published by American Mathematical Society. This book was released on 2023-09-13 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed for an Introduction to Proofs course organized around the themes of number and space. Concepts are illustrated using both geometric and number examples, while frequent analogies and applications help build intuition and context in the humanities, arts, and sciences. Sophisticated mathematical ideas are introduced early and then revisited several times in a spiral structure, allowing students to progressively develop rigorous thinking. Throughout, the presentation is enlivened with whimsical illustrations, apt quotations, and glimpses of mathematical history and culture. Early chapters integrate an introduction to sets, logic, and beginning proof techniques with a first exposure to more advanced mathematical structures. The middle chapters focus on equivalence relations, functions, and induction. Carefully chosen examples elucidate familiar topics, such as natural and rational numbers and angle measurements, as well as new mathematics, such as modular arithmetic and beginning graph theory. The book concludes with a thorough exploration of the cardinalities of finite and infinite sets and, in two optional chapters, brings all the topics together by constructing the real numbers and other complete metric spaces. Designed to foster the mental flexibility and rigorous thinking needed for advanced mathematics, Introduction to Mathematics suits either a lecture-based or flipped classroom. A year of mathematics, statistics, or computer science at the university level is assumed, but the main prerequisite is the willingness to engage in a new challenge.

The Six Pillars of Calculus: Business Edition

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Author :
Publisher : American Mathematical Society
ISBN 13 : 1470469952
Total Pages : 379 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Six Pillars of Calculus: Business Edition by : Lorenzo Sadun

Download or read book The Six Pillars of Calculus: Business Edition written by Lorenzo Sadun and published by American Mathematical Society. This book was released on 2023-05-12 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Six Pillars of Calculus: Business Edition is a conceptual and practical introduction to differential and integral calculus for use in a one- or two-semester course. By boiling calculus down to six common-sense ideas, the text invites students to make calculus an integral part of how they view the world. Each pillar is introduced by tackling and solving a challenging, realistic problem. This engaging process of discovery encourages students to wrestle with the material and understand the reasoning behind the techniques they are learning—to focus on when and why to use the tools of calculus, not just on how to apply formulas. Modeling and differential equations are front and center. Solutions begin with numerical approximations; derivatives and integrals emerge naturally as refinements of those approximations. Students use and modify computer programs to reinforce their understanding of each algorithm. The Business Edition of the Six Pillars series has been extensively field-tested at the University of Texas. It features hundreds of examples and problems designed specifically for business students. The core ideas are introduced by modeling market penetration of a new product, tracking changes in the national debt, and maximizing the profit of a business. Along the way, students learn about present value, consumer and producer surplus, amortization, and probability.

Applied Linear Algebra

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821844415
Total Pages : 394 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Applied Linear Algebra by : Lorenzo Adlai Sadun

Download or read book Applied Linear Algebra written by Lorenzo Adlai Sadun and published by American Mathematical Soc.. This book was released on 2007-12-20 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra permeates mathematics, as well as physics and engineering. In this text for junior and senior undergraduates, Sadun treats diagonalization as a central tool in solving complicated problems in these subjects by reducing coupled linear evolution problems to a sequence of simpler decoupled problems. This is the Decoupling Principle. Traditionally, difference equations, Markov chains, coupled oscillators, Fourier series, the wave equation, the Schrodinger equation, and Fourier transforms are treated separately, often in different courses. Here, they are treated as particular instances of the decoupling principle, and their solutions are remarkably similar. By understanding this general principle and the many applications given in the book, students will be able to recognize it and to apply it in many other settings. Sadun includes some topics relating to infinite-dimensional spaces. He does not present a general theory, but enough so as to apply the decoupling principle to the wave equation, leading to Fourier series and the Fourier transform. The second edition contains a series of Explorations. Most are numerical labs in which the reader is asked to use standard computer software to look deeper into the subject. Some explorations are theoretical, for instance, relating linear algebra to quantum mechanics. There is also an appendix reviewing basic matrix operations and another with solutions to a third of the exercises.

History, Theory and Practice of Philosophy for Children

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Author :
Publisher : Routledge
ISBN 13 : 1351804537
Total Pages : 244 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis History, Theory and Practice of Philosophy for Children by : Saeed Naji

Download or read book History, Theory and Practice of Philosophy for Children written by Saeed Naji and published by Routledge. This book was released on 2017-04-21 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on Philosophy for Children (P4C) is a compilation of articles written by its founders and the movement‘s leaders worldwide. These articles have been prepared in the dialogue and interview format. Part I explains the genesis of the movement, its philosophical and theoretical foundations. Part II examines the specialized uses of philosophical dialogues in teaching philosophy, morality, ethics and sciences. Part III examines the theoretical concerns such as the aims of the method in regards to the search for truth or sense of meaning, or the debate on the novel or short stories and its characteristics. Part IV explains the practices of P4C worldwide and the issue of cultural differences, the ways of the community of inquiry and the necessary adaptation to suit local concerns. The book concludes with a notable review of the progress of P4C, the obstacles, and its international spread to over 60 countries. These penetrating insights make the book an incredibly rich resource for anyone interested in or involved with implementing a P4C programme. Brave Old Subject, Brave New World Teaching Science and Morality Via P4C Showing Children can do Philosophy

Calculus Simplified

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Publisher : Princeton University Press
ISBN 13 : 069117539X
Total Pages : 270 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Calculus Simplified by : Oscar E. Fernandez

Download or read book Calculus Simplified written by Oscar E. Fernandez and published by Princeton University Press. This book was released on 2019-06-11 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In Calculus simplified, Oscar Fernandez combines the strengths and omits the weaknesses, resulting in a "Goldilocks approach" to learning calculus : just the right level of detail, the right depth of insights, and the flexibility to customize your calculus adventure."--Page 4 de la couverture.

Social Science Research

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Author :
Publisher : CreateSpace
ISBN 13 : 9781475146127
Total Pages : 156 pages
Book Rating : 4.1/5 (461 download)

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Book Synopsis Social Science Research by : Anol Bhattacherjee

Download or read book Social Science Research written by Anol Bhattacherjee and published by CreateSpace. This book was released on 2012-04-01 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to introduce doctoral and graduate students to the process of conducting scientific research in the social sciences, business, education, public health, and related disciplines. It is a one-stop, comprehensive, and compact source for foundational concepts in behavioral research, and can serve as a stand-alone text or as a supplement to research readings in any doctoral seminar or research methods class. This book is currently used as a research text at universities on six continents and will shortly be available in nine different languages.

Economic Biology and Behavioral Economics

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Publisher : Taylor & Francis
ISBN 13 : 1000683095
Total Pages : 199 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Economic Biology and Behavioral Economics by : Gerald A. Cory Jr.

Download or read book Economic Biology and Behavioral Economics written by Gerald A. Cory Jr. and published by Taylor & Francis. This book was released on 2022-12-30 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic Biology and Behavioral Economics: The Prophesy of Alfred Marshall explores the prophesy of Alfred Marshall, the grand synthesizer of neoclassical economics, that the "Mecca of the economist lies in economic biology". The book presents the proof of that prophesy through examination and establishment of the fundamental biological science necessary and then applying that science to the examination of current economic theory. In doing so, the book focuses primarily on the fundamentals of neoclassical economic theory— which is the reigning theory and the general framework of which is taught as "science" in first courses in college economics. These courses are at best an idealization, if not an ideology, of the discipline—presented to fresh minds misleadingly as confirmed science. The book examines the bases and the history of these idealizations, points to the sources of their error from the biological perspective and suggests a path forward for the discipline. Through this process, the book demonstrates the power of the biological perspective anticipated by Marshall. This book provides invaluable reading for anyone interested in the future of economics and economic theory, and particularly those interested in behavioral economics and neuroeconomics.

Everyday Calculus

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Publisher : Princeton University Press
ISBN 13 : 0691175756
Total Pages : 166 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Everyday Calculus by : Oscar E. Fernandez

Download or read book Everyday Calculus written by Oscar E. Fernandez and published by Princeton University Press. This book was released on 2017-03-07 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fun look at calculus in our everyday lives Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun and accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful—determining which seat at the theater leads to the best viewing experience, for instance—and fascinating—exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes. The book features a new preface that alerts readers to new interactive online content, including demonstrations linked to specific figures in the book as well as an online supplement. Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus will convince even die-hard skeptics to view this area of math in a whole new way.

Calculus for Biology and Medicine

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Publisher : Prentice Hall
ISBN 13 : 9780130455161
Total Pages : 0 pages
Book Rating : 4.4/5 (551 download)

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Book Synopsis Calculus for Biology and Medicine by : Claudia Neuhauser

Download or read book Calculus for Biology and Medicine written by Claudia Neuhauser and published by Prentice Hall. This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a two-semester course in Calculus for Life Sciences. This text addresses the needs of students in the biological sciences by teaching calculus in a biological context without reducing the course level. It is a calculus text, written so that a math professor without a biology background can teach from it successfully. New concepts are introduced in a three step manner. First, a biological example motivates the topic; second, the topic is then developed via a simple mathematical example; and third the concept is tied to deeper biological examples. This allows students: to see why a concept is important; to understand how to use the concept computationally; to make sure that they can apply the concept.

Encyclopedia of Information Science and Technology

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Publisher : IGI Global Snippet
ISBN 13 : 9781605660264
Total Pages : 4292 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Encyclopedia of Information Science and Technology by : Mehdi Khosrow-Pour

Download or read book Encyclopedia of Information Science and Technology written by Mehdi Khosrow-Pour and published by IGI Global Snippet. This book was released on 2009 with total page 4292 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This set of books represents a detailed compendium of authoritative, research-based entries that define the contemporary state of knowledge on technology"--Provided by publisher.

Bayesian Data Analysis, Third Edition

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Publisher : CRC Press
ISBN 13 : 1439840954
Total Pages : 677 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Bayesian Data Analysis, Third Edition by : Andrew Gelman

Download or read book Bayesian Data Analysis, Third Edition written by Andrew Gelman and published by CRC Press. This book was released on 2013-11-01 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied approach to analysis using up-to-date Bayesian methods. The authors—all leaders in the statistics community—introduce basic concepts from a data-analytic perspective before presenting advanced methods. Throughout the text, numerous worked examples drawn from real applications and research emphasize the use of Bayesian inference in practice. New to the Third Edition Four new chapters on nonparametric modeling Coverage of weakly informative priors and boundary-avoiding priors Updated discussion of cross-validation and predictive information criteria Improved convergence monitoring and effective sample size calculations for iterative simulation Presentations of Hamiltonian Monte Carlo, variational Bayes, and expectation propagation New and revised software code The book can be used in three different ways. For undergraduate students, it introduces Bayesian inference starting from first principles. For graduate students, the text presents effective current approaches to Bayesian modeling and computation in statistics and related fields. For researchers, it provides an assortment of Bayesian methods in applied statistics. Additional materials, including data sets used in the examples, solutions to selected exercises, and software instructions, are available on the book’s web page.

Covering the Plague

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Publisher : Rutgers University Press
ISBN 13 : 9780813514826
Total Pages : 314 pages
Book Rating : 4.5/5 (148 download)

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Book Synopsis Covering the Plague by : James Kinsella

Download or read book Covering the Plague written by James Kinsella and published by Rutgers University Press. This book was released on 1989 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Details the history of the AIDS epidemic and how news get made in America and how the AIDS story was kept out the news for the first years of the crisis