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Author: Peter Saveliev Publisher: ISBN: Category : Languages : en Pages : 474
Book Description
This is the third volume of the series Calculus Illustrated, a textbook for undergraduate students.Mathematical thinking is often visual. The exposition in this book is driven by its 600 color illustrations. Another unique feature of this book is its study of incremental phenomena well in advance of their continuous counterparts. It is called "Discrete Calculus".
Author: Peter Saveliev Publisher: ISBN: Category : Languages : en Pages : 474
Book Description
This is the third volume of the series Calculus Illustrated, a textbook for undergraduate students.Mathematical thinking is often visual. The exposition in this book is driven by its 600 color illustrations. Another unique feature of this book is its study of incremental phenomena well in advance of their continuous counterparts. It is called "Discrete Calculus".
Author: Peter Saveliev Publisher: Peter Saveliev ISBN: Category : Mathematics Languages : en Pages : 593
Book Description
Mathematical thinking is visual. The exposition in this book is driven by its illustrations; there are over 600 of them. Calculus is hard. Many students are too late to discover that they could have used a serious precalculus course. The book is intended for self-study and includes only the topics that are absolutely unavoidable. This is the first volume of the series Calculus Illustrated.
Author: Peter Saveliev Publisher: ISBN: Category : Languages : en Pages : 590
Book Description
This is the second volume of the series Calculus Illustrated, a textbook for undergraduate students.Mathematical thinking is often visual. The exposition in this book is driven by its 600 color illustrations. Another unique feature of this book is its study of incremental phenomena well in advance of their continuous counterparts. It is called "Discrete Calculus".
Author: Peter Saveliev Publisher: Peter Saveliev ISBN: Category : Mathematics Languages : en Pages : 540
Book Description
Elementary linear algebra in light of advanced This is one-semester textbook on elementary linear algebra. However, in light of a more advanced point of view, algebraic manipulations are reduced to a minimum. All prerequisites are included. The exception is the last chapter that shows how linear algebra reveals hidden structures in basic calculus. Appropriate for computing majors. Contents Chapter 1: Sets and functions Chapter 2: Functions as transformations Chapter 3: The 2-dimensional space Chapter 4: Multidimensional spaces Chapter 5: Linear operators Chapter 6: A bird's-eye view of basic calculus
Author: Richard Courant Publisher: Springer Science & Business Media ISBN: 3642571492 Category : Mathematics Languages : en Pages : 585
Book Description
From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991
Author: Lynn Harold Loomis Publisher: World Scientific Publishing Company ISBN: 9814583952 Category : Mathematics Languages : en Pages : 595
Book Description
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: Marc Peter Deisenroth Publisher: Cambridge University Press ISBN: 1108569323 Category : Computers Languages : en Pages : 392
Book Description
The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.
Author: Homer E. Newell Publisher: Courier Corporation ISBN: 0486154904 Category : Mathematics Languages : en Pages : 226
Book Description
This text combines the logical approach of a mathematical subject with the intuitive approach of engineering and physical topics. Applications include kinematics, mechanics, and electromagnetic theory. Includes exercises and answers. 1955 edition.
Author: James Edgar Thompson Publisher: ISBN: Category : Calculus Languages : en Pages : 368
Book Description
Fundamental ideas, rates and differentials. Functions and derivatives. Differentials of algebraic functions. Use of rates and differentials in solving problems. Differentials of trigonometric functions. Velocity, acceleration and derivatives. Interpretation of functions and derivatives by means of graphs. Maximum and minimum values. Problems in maxima and minima. Differentials of logarithmic and exponential functions. Summary of differential formulas. Reversing the process of differentiation. Integral formulas. How to use integral formulas. Interpretation of integrals by means of graphs. Graphical applications of integration. Use of integrals in solving problems. The natural law of growth and the number.
Author: Gilbert Strang Publisher: ISBN: 9781938168079 Category : Calculus Languages : en Pages : 1026
Book Description
"Calculus Volume 3 is the third of three volumes designed for the two- or three-semester calculus course. For many students, this course provides the foundation to a career in mathematics, science, or engineering."-- OpenStax, Rice University
Author: Peter Saveliev
Author: Peter Saveliev
Author: Peter Saveliev
Author: Peter Saveliev
Author: Peter Saveliev
Author: Richard Courant
Author: Lynn Harold Loomis
Author: Marc Peter Deisenroth
Author: Homer E. Newell
Author: James Edgar Thompson
Author: Gilbert Strang