Books in Analysis

Handbook of Mathematical Formulas and Integrals

1st Edition
May 19, 2014
Alan Jeffrey
English
eBook
9 7 8 1 4 8 3 2 9 5 1 4 5

If there is a formula to solve a given problem in mathematics, you will find it in Alan Jeffrey's Handbook of Mathematical Formulas and Integrals. Thanks to its unique thumb-tab indexing feature, answers are easy to find based upon the type of problem they solve. The Handbook covers important formulas, functions, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Based on Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, Fifth Edition (edited by Jeffrey), but far more accessible and written with particular attention to the needs of students and practicing scientists and engineers, this book is an essential resource. Affordable and authoritative, it is the first place to look for help and a rewarding place to browse.

Calculus and Its Applications

1st Edition
May 12, 2014
P. Mainardi + 1 more
English
eBook
9 7 8 1 4 8 3 1 9 5 6 0 5

Calculus and its Applications provides information pertinent to the applications of calculus. This book presents the trapping technique in defining geometrical and physical entities that are usually regarded as limits of sums. Organized into 20 chapters, this book begins with an overview of the notion of average speed that seems to appear first as a qualitative concept. This text then presents the concepts of external and internal parameters to increase the appreciation of parametric functions. Other chapters consider separable differential equations with more detail than usual with their suitability in describing physical laws. This book discusses as well the study of variable quantities whose magnitude is determined by the magnitudes of several other variables. The final chapter deals with a homogeneous differential equation and auxiliary equations consisting imaginary roots. This book is a valuable resource for mathematicians and students. Readers whose interests span a variety of fields will also find this book useful.

Elementary Calculus

1st Edition
May 12, 2014
P.R. Masani + 2 more
Ralph P. Boas
English
eBook
9 7 8 1 4 8 3 2 7 4 8 9 8

Elementary Calculus presents a three semester introductory course on calculus. This book reveals the conceptual development of the calculus, taking into cognizance the technical and applied sides and standards of clarity and rigor that prevail in mathematics. The topics discussed include the basic laws of numbers, classification of real functions, and concept of instantaneous velocity. The limits of functions defined on intervals, derivatives of the trigonometric functions, and standard logarithmic function are also reviewed. This text likewise considers integration by substitution, lengths of plane curves, and simple harmonic motion. This publication is designed for students who have a knowledge of elementary trigonometry, and either have had a one semester course on analytic or coordinate geometry or might take such a course with calculus.

Mathematical Analysis Fundamentals

1st Edition
March 6, 2014
Agamirza Bashirov
English
Paperback
9 7 8 0 1 2 8 1 0 2 6 9 5
eBook
9 7 8 0 1 2 8 0 1 0 5 0 1

The author’s goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options.

A Course in Real Analysis

2nd Edition
January 10, 2012
John N. McDonald + 1 more
English
Hardback
9 7 8 0 1 2 3 8 7 7 7 4 1

Approx.668 pages

Doing Bayesian Data Analysis

1st Edition
October 27, 2010
John Kruschke
English
eBook
9 7 8 0 1 2 3 8 1 4 8 6 9

There is an explosion of interest in Bayesian statistics, primarily because recently created computational methods have finally made Bayesian analysis tractable and accessible to a wide audience. Doing Bayesian Data Analysis, A Tutorial Introduction with R and BUGS, is for first year graduate students or advanced undergraduates and provides an accessible approach, as all mathematics is explained intuitively and with concrete examples. It assumes only algebra and ‘rusty’ calculus. Unlike other textbooks, this book begins with the basics, including essential concepts of probability and random sampling. The book gradually climbs all the way to advanced hierarchical modeling methods for realistic data. The text provides complete examples with the R programming language and BUGS software (both freeware), and begins with basic programming examples, working up gradually to complete programs for complex analyses and presentation graphics. These templates can be easily adapted for a large variety of students and their own research needs.The textbook bridges the students from their undergraduate training into modern Bayesian methods.

Advanced Calculus

1st Edition
July 15, 2010
Joseph B. Dence + 1 more
English
eBook
9 7 8 0 1 2 3 8 4 6 9 7 6

Advanced Calculus

1st Edition
February 4, 2010
Joseph B. Dence + 1 more
English
eBook
9 7 8 0 1 2 3 8 4 6 9 5 2

Advanced Calculus

1st Edition
December 2, 2009
Thomas P. Dence + 1 more
English
Hardback
9 7 8 0 1 2 3 7 4 9 5 5 0
eBook
9 7 8 0 0 8 0 9 5 9 3 2 0

Advanced Calculus explores the theory of calculus and highlights the connections between calculus and real analysis – providing a mathematically sophisticated introduction to functional analytical concepts. The text is interesting to read and includes many illustrative worked-out examples and instructive exercises, and precise historical notes to aid in further exploration of calculus. It covers exponential function, and the development of trigonometric functions from the integral. The text is designed for a one-semester advanced calculus course for advanced undergraduates or graduate students.

Quantum Mechanics of Non-Hamiltonian and Dissipative Systems

1st Edition
Volume 7
May 8, 2008
Vasily Tarasov
English
eBook
9 7 8 0 0 8 0 5 5 9 7 1 1

Quantum Mechanics of Non-Hamiltonian and Dissipative Systems is self-contained and can be used by students without a previous course in modern mathematics and physics. The book describes the modern structure of the theory, and covers the fundamental results of last 15 years. The book has been recommended by Russian Ministry of Education as the textbook for graduate students and has been used for graduate student lectures from 1998 to 2006.

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Books in Analysis

Handbook of Mathematical Formulas and Integrals

Calculus and Its Applications

Elementary Calculus

Mathematical Analysis Fundamentals

A Course in Real Analysis

Doing Bayesian Data Analysis

Advanced Calculus

Advanced Calculus

Advanced Calculus

Quantum Mechanics of Non-Hamiltonian and Dissipative Systems