Category: Calculus

Download e-book for kindle: AP Calculus AB/BC All Access (Advanced Placement (AP) All by Stu Schwartz

By Stu Schwartz

AP Calculus AB/BC All entry - ebook + internet + cellular

Everything you want to arrange for the complex Placement examination, in a examine method outfitted round you.

This AP All entry publication, and the unfastened on-line instruments that include it, assist you customize your AP Calculus AB/BC prep via trying out your realizing, pinpointing your weaknesses, and offering flashcard learn fabrics detailed to you.

Review the e-book: examine the themes proven at the AP Calculus AB/BC examination and research AP innovations to help you take on any query you might even see on attempt day.

Visit The REA learn middle for on-line instruments: on the REA research heart, you could entry quizzes, mini-tests, and a full-length perform attempt. each one of those instruments presents true-to-format questions and supplies a close rating document that follows the subjects set by way of the school Board.

Quizzes: 15-minute on-line quizzes try out your fast seize of the subjects simply lined.

Mini-Tests: 2 on-line mini-tests hide what you’ve studied in every one 1/2 the booklet. those assessments evaluation your total realizing of the topic.

Full-Length perform attempt: Take our full-length examination to perform less than test-day stipulations. on hand either within the e-book and on-line, this try out grants the main entire photo of your strengths and weaknesses. the web model of the examination comprises timed checking out, automated scoring, and an in depth ranking document.

e-Flashcards: along with your ranking stories from the quizzes and checks, you will find which AP Calculus AB/BC issues you want to evaluate. Use this data to create flashcards for the parts the place you're vulnerable and learn them from any computing device or phone. start with the a hundred playing cards incorporated with this booklet.

AP All entry is a must have for college students taking the complicated Placement Calculus AB/BC exam!

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Download e-book for kindle: Differential Calculus On Normed Spaces: A Course In Analysis by Cartan Henri,Karo Maestro,John Moore,Dale Husemoller

By Cartan Henri,Karo Maestro,John Moore,Dale Husemoller

ISBN-10: 154874932X

ISBN-13: 9781548749323

This vintage and lengthy out of print textual content via the recognized French mathematician Henri Cartan, has ultimately been reissued as an unabridged reprint of the Kershaw Publishing corporation 1971 variation at remarkably low cost for a brand new iteration of college scholars and academics. It presents a concise and wonderfully written direction on rigorous research. not like such a lot comparable texts, which typically improve the idea in both metric or Euclidean areas, Cartan's textual content is determined totally in normed vector areas, relatively Banach areas. This not just permits the writer to increase conscientiously and geometrically the recommendations of calculus in a atmosphere of maximal generality, it permits him to unify the speculation of either unmarried and multivariable calculus over both the genuine or advanced scalar fields by means of contemplating derivatives as linear ameliorations. extra importantly, its republication in a cheap version ultimately makes on hand back the English translations of either long-separated halves of Cartan’s well-known 1965-6 calculus path on the collage of Paris: the second one part has been in print for over a decade as Differential types, released by way of Dover Books. with no the 1st part, it's been very tough for readers of that moment part textual content to be ready with the correct necessities as Cartan initially meant. With either texts now to be had at very cheap costs, the total path can now be simply received and studied because it used to be initially meant. The writer, Karo Maestro, has written a long preface and supplemental bibliography to supply old and educational context for the book’s recommended use as a category textual content or self-study with its sequel. He additionally offers special ideas of extra references for additional research in research.
The e-book is split into chapters. the 1st develops the summary differential calculus. The introductory part presents an outline of the algebra and topology of Banach areas, together with norms, metrics, completeness, limits, convergence, isomorphisms and twin areas in addition to very important examples. An creation to multilinear algebra is given through the outside product and a short digression into Banach algebras, hence surroundings the level for the sequel. Then the Frechet by-product is outlined and proofs are given of the 2 uncomplicated theorems of differential calculus: The suggest price theorem and the inverse functionality theorem. The bankruptcy proceeds with the algebra of polynomials in Banach areas, the corresponding research of upper order derivatives and an explanation of Taylor's formulation. It closes with a learn of neighborhood maxima and minima together with either precious and adequate stipulations for the lifestyles of such minima. the second one bankruptcy is dedicated to differential equations and very is the power of the e-book. certainly, it may simply be used for an honors path on differential equations that offers a very rigorous therapy on the complicated undergraduate point. the final life and forte theorems for traditional differential equations on Banach areas are proved and functions of this fabric to linear equations and to acquiring a variety of houses of recommendations of differential equations are then given. ultimately the relation among partial differential equations of the 1st order and usual differential equations is mentioned and built intimately.
The necessities for this ebook are a rigorous first path in calculus utilizing the ɛ-δ definitions of convergence and boundaries (or equivalently, a direction in a single variable complex calculus or uncomplicated analysis), a cautious path in linear algebra on summary vector areas with norms and linear differences in addition to fluency with matrix computations and a simple direction in differential equations. a data of the computational elements of multivariable calculus can also be wanted for a few components of the booklet. the elemental definitions of topology (metric and topological areas, open and closed units, etc.) may be wanted in addition.

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Nonlinear Problems in Abstract Cones (Notes and reports in by Dajun Guo,V. Lakshmikantham,William F. Ames PDF

By Dajun Guo,V. Lakshmikantham,William F. Ames

ISBN-10: 1483239667

ISBN-13: 9781483239668

Notes and reviews in arithmetic in technological know-how and Engineering, quantity five: Nonlinear difficulties in summary Cones provides the research of nonlinear difficulties in summary cones. This e-book makes use of the idea of cones coupled with the mounted aspect index to enquire confident mounted issues of assorted periods of nonlinear operators.

Organized into 4 chapters, this quantity starts off with an outline of the basic houses of cones coupled with the mounted aspect index. this article then employs the mounted aspect concept constructed to debate optimistic suggestions of nonlinear vital equations. different chapters give some thought to a number of examples from crucial and differential equations to demonstrate the summary effects. This publication discusses in addition the fastened issues of accelerating and reducing operators. the ultimate bankruptcy offers with the advance of the speculation of nonlinear differential equations in cones.

This booklet is a important source for graduate scholars in arithmetic. Mathematicians and researchers also will locate this publication useful.

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Download PDF by Robert Albrecht,Samuel Johnson: Introduction to the Beauty of Calculus

By Robert Albrecht,Samuel Johnson

ISBN-10: 0692643265

ISBN-13: 9780692643266

Did you learn calculus lately - or in the past? was once it exertions and hard to appreciate? Did you are feeling drowned by way of theorems, proofs, workouts? Do you think that good looks exists in calculus yet you did not get a hot and fuzzy sensation? this can be the publication for you! it's aimed to advertise calculus appreciation - just like track, paintings, or literature appreciation. the focal point is at the appealing principles which are published by way of calculus. The earliest suggestion is the team spirit of the main in demand transcendental features. the 2 calculus operators, spinoff and crucial, bring about many attractive ideas. changes, likelihood, complicated variables, orthogonal capabilities extremals and optimization bring about an appreciation for a way scientists realize and engineers optimize utilizing calculus.

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Get Real Analysis (Birkhäuser Advanced Texts Basler PDF

By Emmanuele DiBenedetto

ISBN-10: 0817642315

ISBN-13: 9780817642310

ISBN-10: 1461266203

ISBN-13: 9781461266204

This graduate textual content in genuine research is an exceptional construction block for study in research, PDEs, the calculus of adaptations, chance, and approximation conception. It covers the entire middle issues, equivalent to a uncomplicated creation to useful research, and it discusses different issues usually now not addressed together with Radon measures, the Besicovitch masking Theorem, the Rademacher theorem, and a positive presentation of the Stone-Weierstrass Theoroem.

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Get Analysis I PDF

By Herbert Amann,Joachim Escher,Gary Brookfield

ISBN-10: 3764359765

ISBN-13: 9783764359768

ISBN-10: 3764371536

ISBN-13: 9783764371531

This publication is the 1st of a 3 quantity creation to research. it truly is exotic via its sleek and transparent presentation, concentrating consistently at the crucial suggestions. not like so much different textbooks, there is not any man made separation among the theories of 1 variable and that of many variables. Emphasis is put on the early improvement of a superior starting place in topology. to boot, the fundamentals of complicated research are covered.

This publication is directed basically to the scholars and teachers of starting classes in research. yet, with the numerous examples, workouts and the supplementary fabric, it's also compatible for self-study, as education for complicated learn, and as a foundation for different study in arithmetic and physics.

'This textbook presents a good creation to research. it truly is individual through its excessive point of presentation and its concentrate on the essential.''
Zeitschrift für research und ihre Anwendung 18, No. four (G. Berger, overview of the 1st German edition)

'One good thing about this presentation is that the ability of the summary ideas are convincingly validated utilizing concrete applications.''
W. Grölz, overview of the 1st German edition

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Charles R. MacCluer's Calculus of Variations: Mechanics, Control and Other PDF

By Charles R. MacCluer

ISBN-10: 0486498379

ISBN-13: 9780486498379

The first actually up to date therapy of the calculus of diversifications, this article is additionally the 1st to supply an easy creation to such key recommendations as optimum regulate and linear-quadratic regulate layout. compatible for junior/senior–level scholars of math, technology, and engineering, this quantity additionally serves as an invaluable reference for engineers, chemists, and forest/environmental managers. Its large standpoint gains a number of workouts, tricks, outlines, and reviews, plus a number of appendixes, together with a realistic dialogue of MATLAB.
Students will get pleasure from the text's reader-friendly type, which gains slow developments in trouble and begins by way of constructing strategy instead of concentrating on technical info. The examples and workouts provide many citations of engineering-based functions, and the routines variety from hassle-free to graduate-level tasks, together with longer initiatives and people relating to vintage papers.

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Download e-book for kindle: Spherical Harmonics in p Dimensions by Christopher Frye,Costas Efthimiou

By Christopher Frye,Costas Efthimiou

ISBN-10: 9814596698

ISBN-13: 9789814596695

The present ebook makes a number of important subject matters from the idea of certain features, particularly the idea of round harmonics and Legendre polynomials in arbitrary dimensions, on hand to undergraduates learning physics or arithmetic. With this viewers in brain, approximately all information of the calculations and proofs are written out, and broad historical past fabric is roofed sooner than exploring the most topic matter.


  • Introduction and Motivation
  • Working in p Dimensions
  • Orthogonal Polynomials
  • Spherical Harmonics in p Dimensions
  • Solutions to Problems

Readership: Undergraduate and graduate scholars in mathematical physics and differential equations.

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Get Handbook of Differential Equations: Stationary Partial PDF

By Michel Chipot,Pavol Quittner

ISBN-10: 0444528466

ISBN-13: 9780444528469

This instruction manual is quantity III in a chain dedicated to desk bound partial differential quations. equally as volumes I and II, it's a selection of self contained state of the art surveys written through renowned specialists within the box. the themes coated by means of this guide comprise singular and better order equations, difficulties close to seriously, issues of anisotropic nonlinearities, dam challenge, T-convergence and Schauder-type estimates. those surveys can be valuable for either rookies and specialists and accelerate the growth of corresponding (rapidly constructing and interesting) parts of mathematics.

Key positive factors:

- Written by way of recognized specialists within the box
- Self-contained quantity in sequence overlaying some of the most speedy constructing issues in mathematics

- Written via recognized specialists within the box
- Self-contained quantity in sequence masking probably the most fast constructing subject matters in mathematics

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Download PDF by Dale Varberg,Edwin J. Purcell,Steve E. Rigdon: Calculus Early Transcendentals: Pearson New International

By Dale Varberg,Edwin J. Purcell,Steve E. Rigdon

ISBN-10: 0131875337

ISBN-13: 9780131875333

ISBN-10: 1292042680

ISBN-13: 9781292042688

For freshman/sophomore-level classes treating calculus of either one and several other variables.

Clear and Concise!

Varberg makes a speciality of the main severe innovations releasing you to teach the manner you want!

This well known calculus textual content is still the shortest mainstream calculus e-book on hand — but covers all the fabric wanted via, and at a suitable point for, scholars in engineering, technological know-how, and arithmetic. it is conciseness and readability is helping scholars concentration on, and understand, critical strategies in calculus with no them getting slowed down and misplaced in over the top and pointless detail. It is actual, with no being excessively rigorous, updated with out being faddish. The authors make potent use of computing know-how, pictures, and functions. perfect for teachers who desire a no-nonsense, concisely written remedy.

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