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Author: Milo Shott Publisher: McGraw-Hill Education (UK) ISBN: 0335232779 Category : Study Aids Languages : en Pages : 242
Book Description
This book is for students who either never obtained any formal qualifications in mathematics, or whose knowledge became rusty through prolonged lack of use. It explains mathematical concepts and topics which are prerequisites for a student embarking on any science or other numerically based course in further and higher education. The text contains many worked examples, illustrations and exercises with solutions to reinforce understanding of the material. The emphasis is on a user-friendly approach and simplicity of style - which makes the book easy to study on its own, without any editorial help.
Author: Milo Shott Publisher: McGraw-Hill Education (UK) ISBN: 0335232779 Category : Study Aids Languages : en Pages : 242
Book Description
This book is for students who either never obtained any formal qualifications in mathematics, or whose knowledge became rusty through prolonged lack of use. It explains mathematical concepts and topics which are prerequisites for a student embarking on any science or other numerically based course in further and higher education. The text contains many worked examples, illustrations and exercises with solutions to reinforce understanding of the material. The emphasis is on a user-friendly approach and simplicity of style - which makes the book easy to study on its own, without any editorial help.
Author: Morris Kline Publisher: Courier Corporation ISBN: 0486316130 Category : Mathematics Languages : en Pages : 676
Book Description
Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
Author: Shott, Milo Publisher: McGraw-Hill Education (UK) ISBN: 0335092128 Category : Education Languages : en Pages : 242
Book Description
This book is for students who either never obtained any formal qualifications in mathematics, or whose knowledge became rusty through prolonged lack of use. It explains mathematical concepts and topics which are prerequisites for a student embarking on any science or other numerically based course in further and higher education. The text contains many worked examples, illustrations and exercises with solutions to reinforce understanding of the material. The emphasis is on a user-friendly approach and simplicity of style - which makes the book easy to study on its own, without any editorial help.
Author: Jerrold E. Marsden Publisher: Courier Corporation ISBN: 0486142272 Category : Technology & Engineering Languages : en Pages : 578
Book Description
Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.
Author: Kenneth Kunen Publisher: ISBN: 9781904987147 Category : Mathematics Languages : en Pages : 251
Book Description
Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Lowenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continues the foundational issues begun in the set theory chapter. Mathematics can now be viewed as formal proofs from ZFC. Also, model theory leads to models of set theory. This includes a discussion of absoluteness, and an analysis of models such as H( ) and R( ). The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness theorems of Godel, and Tarski's theorem on the non-definability of truth.
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: Anthony J. Devaney Publisher: Cambridge University Press ISBN: 1139510142 Category : Science Languages : en Pages : 537
Book Description
Inverse problems are of interest and importance across many branches of physics, mathematics, engineering and medical imaging. In this text, the foundations of imaging and wavefield inversion are presented in a clear and systematic way. The necessary theory is gradually developed throughout the book, progressing from simple wave equation based models to vector wave models. By combining theory with numerous MATLAB based examples, the author promotes a complete understanding of the material and establishes a basis for real world applications. Key topics of discussion include the derivation of solutions to the inhomogeneous and homogeneous Helmholtz equations using Green function techniques; the propagation and scattering of waves in homogeneous and inhomogeneous backgrounds; and the concept of field time reversal. Bridging the gap between mathematics and physics, this multidisciplinary book will appeal to graduate students and researchers alike. Additional resources including MATLAB codes and solutions are available online at www.cambridge.org/9780521119740.
Author: F. William Lawvere Publisher: Cambridge University Press ISBN: 9780521010603 Category : Mathematics Languages : en Pages : 280
Book Description
In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.
Author: Milo Shott
Author: Milo Shott
Author: Morris Kline
Author: Shott, Milo
Author: Jerrold E. Marsden
Author: Kenneth Kunen
Author: John P. Mayberry
Author: Marc Peter Deisenroth
Author: 
Author: Anthony J. Devaney
Author: F. William Lawvere