Category: Calculus

Lively Calculus isn't like so much latest texts in a minimum of the subsequent methods: the fashion of the textual content calls for scholars to be lively inexperienced persons; there are only a few labored examples within the textual content, with there as a substitute being three or four actions in step with part that interact scholars in connecting rules, fixing difficulties, and constructing realizing of key calculus principles. each one part starts with motivating questions, a quick advent, and a preview task, all of that are designed to be learn and accomplished sooner than classification. The workouts are few in quantity and difficult in nature. The e-book is open resource and will be used as a first-rate or supplemental textual content.
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• Download E-books An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞ (SpringerBriefs in Mathematics) PDF

By Nikos Katzourakis

The aim of this publication is to offer a brief and easy, but rigorous, presentation of the rudiments of the so-called thought of Viscosity strategies which applies to totally nonlinear 1st and second order Partial Differential Equations (PDE). For such equations, rather for second order ones, recommendations more often than not are non-smooth and traditional ways to be able to outline a "weak resolution" don't observe: classical, powerful virtually in every single place, susceptible, measure-valued and distributional recommendations both don't exist or would possibly not also be outlined. the most explanation for the latter failure is that, the normal suggestion of utilizing "integration-by-parts" for you to move derivatives to delicate try services via duality, isn't to be had for non-divergence constitution PDE.
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In case you have a query approximately Sequences and sequence this can be the booklet with the solutions. Sequences and Series: Questions and solutions takes the superior questions and solutions requested at the math.stackexchange.com web site. you should use this e-book to appear up frequently asked questions, browse questions about a selected subject, evaluate solutions to universal issues, try out the unique resource and lots more and plenty extra. This ebook has been designed to be really easy to take advantage of, with many inner references arrange that makes looking in lots of other ways attainable. subject matters lined comprise: Calculus, actual research, Limits, Summation, Closed shape, Integration, Convergence, research, quantity conception, Pi, Riemann Zeta, complicated research, Combinatorics, convinced Integrals, Harmonic Numbers, certain capabilities, Recurrence kin, Trigonometry, Algebra Precalculus, Fibonacci Numbers and lots of extra.
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• Download E-books A Brief Introduction to Theta Functions (Dover Books on Mathematics) PDF

By Richard Bellman

Brief yet exciting, this monograph at the conception of elliptic features used to be written via one in all America's such a lot well known and broadly learn mathematicians. Richard Bellman includes a wealth of fabric in a succession of brief chapters, spotlighting excessive issues of the elemental areas of elliptic services and illustrating strong and flexible analytic methods.
Suitable for complicated undergraduates and graduate scholars in arithmetic, this introductory remedy is essentially self-contained. subject matters comprise Fourier sequence, adequate stipulations, the Laplace rework, result of Doetsch and Kober-Erdelyi, Gaussian sums, and Euler's formulation and useful equations. extra matters comprise partial fractions, mock theta capabilities, Hermite's technique, convergence evidence, hassle-free practical kinfolk, multidimensional Poisson summation formulation, the modular transformation, and lots of different areas.
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By Saber Elaydi

A must-read for mathematicians, scientists and engineers who are looking to comprehend distinction equations and discrete dynamics

Contains the main whole and comprehenive research of the steadiness of one-dimensional maps or first order distinction equations.

Has an intensive variety of functions in various fields from neural community to host-parasitoid platforms.

Includes chapters on endured fractions, orthogonal polynomials and asymptotics.

Lucid and obvious writing variety

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This booklet covers the idea of derivatives pricing and hedging in addition to ideas utilized in mathematical finance. The authors use a top-down process, beginning with basics prior to relocating to purposes, and current theoretical advancements along a variety of routines, supplying many examples of functional interest.
A huge spectrum of options and mathematical instruments which are often present in separate monographs are provided the following. as well as the no-arbitrage conception in complete generality, this ebook additionally explores versions and sensible hedging and pricing concerns. Fundamentals and complicated ideas in Derivatives Hedging extra introduces complicated tools in likelihood and research, together with Malliavin calculus and the idea of viscosity recommendations, in addition to the new conception of stochastic pursuits and its use in possibility administration, making it the 1st textbook overlaying this topic.
Graduate scholars in utilized arithmetic with an realizing of chance concept and stochastic calculus will locate this ebook helpful to achieve a deeper realizing of basic strategies and techniques in mathematical finance.
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• Download E-books The history of the calculus and its conceptual development: (The concepts of the calculus) PDF

This e-book, for the 1st time, presents laymen and mathematicians alike with an in depth photograph of the ancient improvement of 1 of the main momentous achievements of the human mind ― the calculus. It describes with accuracy and standpoint the lengthy improvement of either the indispensable and the differential calculus from their early beginnings in antiquity to their ultimate emancipation within the nineteenth century from either actual and metaphysical principles alike and their ultimate elaboration as mathematical abstractions, as we all know them at the present time, outlined by way of formal common sense by way of the belief of a restrict of an enormous sequence.
But whereas the significance of the calculus and mathematical research ― the middle of recent arithmetic ― can't be overemphasized, the worth of this primary complete serious heritage of the calculus is going a ways past the subject material. This booklet will totally counteract the effect of laymen, and of many mathematicians, that the nice achievements of arithmetic have been formulated from the start in ultimate shape. it is going to supply readers a feeling of arithmetic no longer as a method, yet as a behavior of brain, and serve to bridge the space among the sciences and the arts. it is going to additionally make abundantly transparent the fashionable realizing of arithmetic by way of displaying intimately how the recommendations of the calculus steadily replaced from the Greek view of the truth and immanence of arithmetic to the revised notion of mathematical rigor built through the good nineteenth century mathematicians, which held that any premises have been legitimate as long as they have been in line with each other. it'll make transparent the tips contributed by way of Zeno, Plato, Pythagoras, Eudoxus, the Arabic and Scholastic mathematicians, Newton, Leibnitz, Taylor, Descartes, Euler, Lagrange, Cantor, Weierstrass, etc within the lengthy passage from the Greek "method of exhaustion" and Zeno's paradoxes to the fashionable suggestion of the restrict self reliant of feel adventure; and remove darkness from not just the tools of mathematical discovery, however the foundations of mathematical proposal as well.
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• Download E-books Classical Complex Analysis (Jones and Bartlett Books in Mathematics and Computer Science) PDF

By Liang-shin Hahn

Vintage complicated research is a textual content that has been constructed over a long time of educating with an enthusiastic pupil reception. the 1st 1/2 the e-book makes a speciality of the center fabric. An early bankruptcy on energy sequence offers the reader concrete examples of analytic services and a assessment of calculus. Mobius variations are awarded with emphasis at the geometric element, and the Cauchy theorem is roofed within the classical demeanour. the remainder chapters supply a sublime and stable evaluation of distinctive issues akin to complete and Meromorphic capabilities, Analytic Continuation, general households, Conformal Mapping, and Harmonic features.
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