The Hitchhiker S Guide To Calculus

Author : Michael Spivak
Publisher : American Mathematical Soc.
Page : 122 pages
File Size : 42,5 Mb
Release : 2019-01-24
Category : Calculus
ISBN : 9781470449629

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The Hitchhiker's Guide to Calculus by Michael Spivak Pdf

The Hitchhiker's Guide to Calculus begins with a rapid view of lines and slope. Spivak then takes up non-linear functions and trigonometric functions. He places the magnifying glass on curves in the next chapter and effortlessly leads the reader to the idea of derivative. In the next chapter he tackles speed and velocity, followed by the derivative of sine. Maxima and minima are next. Rolle's theorem and the MVT form the core of Chapter 11, "Watching Experts at Play." The Hitchhiker's Guide to Calculus closes with a chapter on the integral, the fundamental theorem, and applications of the integral.

Author : Michael Spivak
Publisher : Unknown
Page : 680 pages
File Size : 46,9 Mb
Release : 1980
Category : Mathematics
ISBN : UOM:49015000675505

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Calculus by Michael Spivak Pdf

Author : Charalambos D. Aliprantis,Kim C. Border
Publisher : Springer Science & Business Media
Page : 623 pages
File Size : 47,8 Mb
Release : 2013-11-11
Category : Business & Economics
ISBN : 9783662030042

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Infinite Dimensional Analysis by Charalambos D. Aliprantis,Kim C. Border Pdf

This text was born out of an advanced mathematical economics seminar at Caltech in 1989-90. We realized that the typical graduate student in mathematical economics has to be familiar with a vast amount of material that spans several traditional fields in mathematics. Much of the mate rial appears only in esoteric research monographs that are designed for specialists, not for the sort of generalist that our students need be. We hope that in a small way this text will make the material here accessible to a much broader audience. While our motivation is to present and orga nize the analytical foundations underlying modern economics and finance, this is a book of mathematics, not of economics. We mention applications to economics but present very few of them. They are there to convince economists that the material has so me relevance and to let mathematicians know that there are areas of application for these results. We feel that this text could be used for a course in analysis that would benefit math ematicians, engineers, and scientists. Most of the material we present is available elsewhere, but is scattered throughout a variety of sources and occasionally buried in obscurity. Some of our results are original (or more likely, independent rediscoveries). We have included some material that we cannot honestly say is neces sary to understand modern economic theory, but may yet prove useful in future research.

Author : Gilbert Strang,Edwin Prine Herman
Publisher : Unknown
Page : 824 pages
File Size : 41,5 Mb
Release : 2016-03-07
Category : Calculus
ISBN : 1938168062

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Calculus by Gilbert Strang,Edwin Prine Herman Pdf

"Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

Author : Michael Spivak
Publisher : Hachette UK
Page : 177 pages
File Size : 50,9 Mb
Release : 1971-01-22
Category : Science
ISBN : 9780813346120

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Calculus On Manifolds by Michael Spivak Pdf

This little book is especially concerned with those portions of ”advanced calculus” in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

Author : Charalambos D. Aliprantis,Kim C. Border
Publisher : Springer Science & Business Media
Page : 692 pages
File Size : 50,5 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662039618

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Infinite Dimensional Analysis by Charalambos D. Aliprantis,Kim C. Border Pdf

This book presents functional analytic methods in a unified manner with applications to economics, social sciences, and engineering. Ideal for those without an extensive background in the area, it develops topology, convexity, Banach lattices, integration, correspondences, and the analytic approach to Markov processes. Many of the results were previously available only in esoteric monographs and will interest researchers and students who will find the material readily applicable to problems in control theory and economics.

Author : Steven Strogatz
Publisher : Eamon Dolan Books
Page : 389 pages
File Size : 47,8 Mb
Release : 2019
Category : History
ISBN : 9781328879981

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Infinite Powers by Steven Strogatz Pdf

From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.

Author : Jutta Gisela Sperling
Publisher : transcript Verlag
Page : 431 pages
File Size : 55,9 Mb
Release : 2016-10-31
Category : Art
ISBN : 9783839432846

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Roman Charity by Jutta Gisela Sperling Pdf

»Roman Charity« investigates the iconography of the breastfeeding daughter from the perspective of queer sexuality and erotic maternity. The volume explores the popularity of a topic that appealed to early modern observers for its eroticizing shock value, its ironic take on the concept of Catholic »charity«, and its implied critique of patriarchal power structures. It analyses why early modern viewers found an incestuous, adult breastfeeding scene »good to think with« and aims at expanding and queering our notions of early modern sexuality. Jutta Gisela Sperling discusses the different visual contexts in which »Roman Charity« flourished and reconstructs contemporary horizons of expectation by reference to literary sources, medical practice, and legal culture.

Author : Michael Spivak
Publisher : Unknown
Page : 733 pages
File Size : 42,7 Mb
Release : 2010
Category : Mechanics
ISBN : 0914098322

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Physics for Mathematicians by Michael Spivak Pdf

Author : Christian Workman
Publisher : Xlibris Corporation
Page : 138 pages
File Size : 41,7 Mb
Release : 2011-08-30
Category : Biography & Autobiography
ISBN : 9781465343628

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Black Boxed by Christian Workman Pdf

In psychology, the black box theory works like this. Before something, such as an emotion, enters the black box, we can observe and understand it. It then goes through the box where we cant see what is occurring. We can only see what comes out and how it has changed. Regardless of the outcome, well never know exactly what occurred inside the box. A black box can represent many things, especially the mind.

Author : Daniel P. Friedman,Mitchell Wand
Publisher : MIT Press
Page : 433 pages
File Size : 53,9 Mb
Release : 2008-04-18
Category : Computers
ISBN : 9780262062794

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Essentials of Programming Languages, third edition by Daniel P. Friedman,Mitchell Wand Pdf

A new edition of a textbook that provides students with a deep, working understanding of the essential concepts of programming languages, completely revised, with significant new material. This book provides students with a deep, working understanding of the essential concepts of programming languages. Most of these essentials relate to the semantics, or meaning, of program elements, and the text uses interpreters (short programs that directly analyze an abstract representation of the program text) to express the semantics of many essential language elements in a way that is both clear and executable. The approach is both analytical and hands-on. The book provides views of programming languages using widely varying levels of abstraction, maintaining a clear connection between the high-level and low-level views. Exercises are a vital part of the text and are scattered throughout; the text explains the key concepts, and the exercises explore alternative designs and other issues. The complete Scheme code for all the interpreters and analyzers in the book can be found online through The MIT Press web site. For this new edition, each chapter has been revised and many new exercises have been added. Significant additions have been made to the text, including completely new chapters on modules and continuation-passing style. Essentials of Programming Languages can be used for both graduate and undergraduate courses, and for continuing education courses for programmers.

Author : Ian Stewart,David Tall
Publisher : Cambridge University Press
Page : 308 pages
File Size : 54,5 Mb
Release : 1983-03-10
Category : Mathematics
ISBN : 0521287634

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Complex Analysis by Ian Stewart,David Tall Pdf

A textbook for students of pure mathematics.

Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Page : 0 pages
File Size : 47,6 Mb
Release : 2019-01-31
Category : Computers
ISBN : 0692196382

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Linear Algebra and Learning from Data by Gilbert Strang Pdf

Linear algebra and the foundations of deep learning, together at last! From Professor Gilbert Strang, acclaimed author of Introduction to Linear Algebra, comes Linear Algebra and Learning from Data, the first textbook that teaches linear algebra together with deep learning and neural nets. This readable yet rigorous textbook contains a complete course in the linear algebra and related mathematics that students need to know to get to grips with learning from data. Included are: the four fundamental subspaces, singular value decompositions, special matrices, large matrix computation techniques, compressed sensing, probability and statistics, optimization, the architecture of neural nets, stochastic gradient descent and backpropagation.

Author : N. Joll
Publisher : Springer
Page : 308 pages
File Size : 48,7 Mb
Release : 2016-04-30
Category : Performing Arts
ISBN : 9780230392656

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Philosophy and The Hitchhiker's Guide to the Galaxy by N. Joll Pdf

The Hitchhiker's Guide to the Galaxy provides an excellent way of looking at some intriguing issues in philosophy, from vegetarianism and Artificial Intelligence to God, space and time. This is an entertaining yet thought provoking volume for students, philosophers and fans of The Hitchhiker's series.

Author : Jason Brownlee,Stefania Cristina,Mehreen Saeed
Publisher : Machine Learning Mastery
Page : 283 pages
File Size : 46,7 Mb
Release : 2022-02-23
Category : Computers
ISBN : 8210379456XXX

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Calculus for Machine Learning by Jason Brownlee,Stefania Cristina,Mehreen Saeed Pdf

Calculus seems to be obscure, but it is everywhere. In machine learning, while we rarely write code on differentiation or integration, the algorithms we use have theoretical roots in calculus. If you ever wondered how to understand the calculus part when you listen to people explaining the theory behind a machine learning algorithm, this new Ebook, in the friendly Machine Learning Mastery style that you’re used to, is all you need. Using clear explanations and step-by-step tutorial lessons, you will understand the concept of calculus, how it is relates to machine learning, what it can help us on, and much more.