Very Short Introductions: Brilliant, sharp, inspiring

The 17th-century calculus of Newton and Leibniz was built on shaky foundations, and it wasn't until the 18th and 19th centuries that mathematicians--especially Bolzano, Cauchy, and Weierstrass--began to establish a rigorous basis for the subject. The resulting discipline is now known to mathematicians as analysis.

This book, aimed at readers with some grounding in mathematics, describes the nascent evolution of mathematical analysis, its development as a subject in its own right, and its wide-ranging applications in mathematics and science, modelling reality from acoustics to fluid dynamics, from biological systems to quantum theory.

ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

If You Want to Calculate Your Life Path And Know What Numbers Know That You Don t, Then Keep Reading...

Do you sometimes question if you are on the right path or if you are wasting your time on something you are not supposed to do?

Do you repeatedly see numbers all around you?
I m not talking about telephone numbers, area codes or price tags, but patterns that are not 'normal'? 11:11, 333, 666?

Do you ever recognize certain character traits among people that are born in the same month?

What if all the 'coincidences' in your life mean much more than you think on first sight?

There is a 4000-year-old science based on the mathematics of the universe called numerology.

Instead of 1+1, you can reveal the message behind everything that is happening in your life right now.

And even more. Once you discover how to decode numbers and understand how astronomical phenomena impact a person s personality, you can not only predict, but also change your future for the better.

Imagine you had the ability to decide your child s destiny?
The day and month someone is born shapes who they are today and who they are going to become.

There is no such thing as coincidence.

People fear numbers and astrology because it s easier to blindly follow their fellows. Most of us live in a fake bubble of who we are and what we are doing on this planet.

Looking deeper into numbers and the position of celestial objects requires strength and willpower. From now on, you can take charge of your destiny.

Always remember, the universe has your back and you will receive the same energy back that you send out.

In Numerology and Astrology for Beginners, you'll discover:

• How the flap of a butterfly's wings in Mexico cause a giant change in your life
• The man's name that 666 stands for and if you should be worried (Find the answer on page 12)
• Why you are missing out on an exciting adventure if you are not paying attention to this one number in your life (hint: between 0-10)
• Why 911 is the universal help hotline if you want a change in life
• Which numbers can help to heal physical and mental diseases
• How to become pregnant at the right time to ensure your child has a healthy and prosperous future
• The 12 zodiac signs, their meanings, and assets to achieve your goals
• Cheat sheet for a stronger and more passionate relationship
• Why some people feel like they are born in the wrong family and why they are right
• How to choose your friends and partners wisely and prevent yourself from energy draining relationships
• How and which numbers predicted the success of Apple, BMW, Microsoft and Co. (page 41)

And much more.

If this is your first contact with astrology and numerology, you might be skeptical if this unknown science is trustworthy.

We have all heard the sentence 'Only an idiot would believe that the month you are born could have effect on your personality.'

But what if I tell you that science has proven:

• you are more likely to be diagnosed with schizophrenia if you are born in February
• suicide is strongest in people born in between April and June
• you could be suffering from dyslexia if you are a summer baby

If you still think it s all hocus-pocus, then you must be a Gemini (they tend to be over skeptical).

If You Want to Calculate Your Life Path And Know What Numbers Know That You Don t, Then Keep Reading...

Do you sometimes question if you are on the right path or if you are wasting your time on something you are not supposed to do?

Do you repeatedly see numbers all around you?
I m not talking about telephone numbers, area codes or price tags, but patterns that are not 'normal'? 11:11, 333, 666?

Do you ever recognize certain character traits among people that are born in the same month?

What if all the 'coincidences' in your life mean much more than you think on first sight?

There is a 4000-year-old science based on the mathematics of the universe called numerology.

Instead of 1+1, you can reveal the message behind everything that is happening in your life right now.

And even more. Once you discover how to decode numbers and understand how astronomical phenomena impact a person s personality, you can not only predict, but also change your future for the better.

Imagine you had the ability to decide your child s destiny?
The day and month someone is born shapes who they are today and who they are going to become.

There is no such thing as coincidence.

People fear numbers and astrology because it s easier to blindly follow their fellows. Most of us live in a fake bubble of who we are and what we are doing on this planet.

Looking deeper into numbers and the position of celestial objects requires strength and willpower. From now on, you can take charge of your destiny.

Always remember, the universe has your back and you will receive the same energy back that you send out.

In Numerology and Astrology for Beginners, you'll discover:

• How the flap of a butterfly's wings in Mexico cause a giant change in your life
• The man's name that 666 stands for and if you should be worried (Find the answer on page 12)
• Why you are missing out on an exciting adventure if you are not paying attention to this one number in your life (hint: between 0-10)
• Why 911 is the universal help hotline if you want a change in life
• Which numbers can help to heal physical and mental diseases
• How to become pregnant at the right time to ensure your child has a healthy and prosperous future
• The 12 zodiac signs, their meanings, and assets to achieve your goals
• Cheat sheet for a stronger and more passionate relationship
• Why some people feel like they are born in the wrong family and why they are right
• How to choose your friends and partners wisely and prevent yourself from energy draining relationships
• How and which numbers predicted the success of Apple, BMW, Microsoft and Co. (page 41)

And much more.

If this is your first contact with astrology and numerology, you might be skeptical if this unknown science is trustworthy.

We have all heard the sentence 'Only an idiot would believe that the month you are born could have effect on your personality.'

But what if I tell you that science has proven

• you are more likely to be diagnosed with schizophrenia if you are born in February
• suicide is strongest in people born in between April and June
• you could be suffering from dyslexia if you are a summer baby

If you still think it s all hocus-pocus, then you must be a Gemini (they tend to be over skeptical).

Scroll up and click the Add to Cart button right now to discover the secret of numbers and zodiac signs.

Can networks unlock secrets of AI or make sense of a social media mess? A behind-the-scenes look at how networks reveal reality.

According to mathematician Anthony Bonato, the hidden world of networks permeates our lives in astounding ways. From Bitcoin transactions to neural connections, his book explains how networks shape everything from political landscapes to climate patterns and how deceptively simple dots and lines can unveil the wonders of technology, society, and even nature.

From a fresh and startling look at the true impact of clever keywords in politicians' social media posts to a fun breakdown of survival strategies in reality TV shows, Bonato shows us how network theory operates everywhere. Each chapter focuses on a unique aspect of networks to reveal how they provide a captivating lens for bringing diverse phenomena into clearer focus.

The book offers an accessible snapshot of networks for anyone curious about what makes the modern world tick. Bonato's insights will give readers a deeper appreciation and understanding of networks and their relevance to our everyday lives.

Useful to programmers and stimulating for theoreticians, this text covers the major methods of numerical integration. It offers a balanced presentation: certain sections derive from or allude to deep results of analysis, but most of the final results are expressed in a form accessible to anyone with a background in calculus.
An extensive introduction outlines the uses and advantages of numerical integration and includes formulas and guides to orthogonal polynomials and specific integrals. Subsequent chapters explore approximate integration over finite and infinite intervals, error analysis, approximate integration in two or more dimensions, and automatic integration. Five helpful appendixes conclude the text.

The book has two overarching goals. The first goal is to introduce different available numerical procedures for finding solutions to linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, differential equations, and error analysis. The second goal is to translate theory into practice through applying commonly used numerical methods in mathematics, physical sciences, biomedical sciences, and engineering.

This book was crafted in an informal and user-friendly manner to motivate the study of the material being covered. Ample figures and numerical tables are presented to enhance the reader's ease of understanding of the material under consideration.

The latest advancements in time scale calculus are the focus of this book. New types of time-scale integral transforms are discussed in the book, along with how they can be used to solve dynamic equations. Novel numerical techniques for partial dynamic equations on time scales are described. New time scale inequalities for exponentially convex functions are introduced as well.

This unique volume covers two fundamental elements of computational methods -- numbers and functions. It provides an in-depth discussion of the behaviors of numbers, including both real and complex numbers. The discussion leads to the important closure properties of numbers, ensuring solution consistence and existence, and also possible failure in numerical computations in science and engineering.This text then introduces types of functions that take numbers as independent variables and produce a single number. Approaches for constructing inverse functions are also provided. Frequently used basis functions are introduced, with detailed studies on their properties and behaviors. Techniques are presented for constructing basis functions and their use in function approximation in computational methods.

En este libro se realizan ejercicios sobre los siguientes temas matemáticos:
cálculo numérico de las raíces de un polinomio
resolución numérica de matrices, sistemas lineales y no lineales
cálculo numérico de la integral y derivadas
método de diferencias finitas y resolución numérica de ecuaciones diferenciales ordinarias
método de elementos finitos y formulación débil de ecuaciones diferenciales parciales
También se presentan sugerencias teóricas iniciales para hacer comprensible la realización de los ejercicios.

Real Analysis and Infinity presents the essential topics for a first course in real analysis with an emphasis on the role of infinity in all of the fundamental concepts. After introducing sequences of numbers, it develops the set of real numbers in terms of Cauchy sequences of rational numbers, and uses this development to derive the important properties of real numbers like completeness. The book then develops the concepts of continuity, derivative, and integral, and presents the theory of infinite sequences and series of functions.

Topics discussed are wide-ranging and include the convergence of sequences, definition of limits and continuity via converging sequences, and the development of derivative. The proofs of the vast majority of theorems are presented and pedagogical considerations are given priority to help cement the reader's knowledge.

Preliminary discussion of each major topic is supplemented with examples and diagrams, and historical asides. Examples follow most major results to improve comprehension, and exercises at the end of each chapter help with the refinement of proof and calculation skills.

BIG SUDOKU PUZZLE BOOK WITH 1000 PUZZLES

★ Easy to hard

★ 1000 Puzzles

★ Gift idea for adults and kids

★ Size 8.5 x 11

★ 170 Pages

This volume contains original, refereed contributions by researchers from national metrology institutes, universities and laboratories across the world involved in metrology and testing. The volume has been produced by the International Measurement Confederation (IMEKO) Technical Committee 21, Mathematical Tools for Measurements, in association with IMEKO Technical Committee 6, Digitalisation, and the European Network for Mathematics and Statistics for Metrology, following presentations made at the Advanced Mathematical and Computational Tools in Metrology online conference, hosted by the Institute of Metrology of Bosnia and Herzegovina, Sarajevo, in September 2023. The volume covers the application of novel mathematical and statistical modelling techniques and data analysis and machine learning approaches to metrology and measurement science, uncertainty quantification, and knowledge representation and reasoning to enable the digitalization of metrological services.This volume is of interest to all researchers, data scientists, engineers and practitioners who need to characterize the capabilities of measurement systems, evaluate measurement data, quantify uncertainties and make inferences and decisions based on models and data. It will also be of interest to those working in the quality infrastructure concerned with the reliability, transparency, trustworthiness and reproducibility of data, data analytics, machine learning and AI, in engineering, physical, environmental and the life sciences.

This concise, plain-language guide for senior undergraduates and graduate students aims to develop intuition, practical skills and an understanding of the framework of numerical methods for the physical sciences and engineering. It provides accessible self-contained explanations of mathematical principles, avoiding intimidating formal proofs. Worked examples and targeted exercises enable the student to master the realities of using numerical techniques for common needs such as solution of ordinary and partial differential equations, fitting experimental data, and simulation using particle and Monte Carlo methods. Topics are carefully selected and structured to build understanding, and illustrate key principles such as: accuracy, stability, order of convergence, iterative refinement, and computational effort estimation. Enrichment sections and in-depth footnotes form a springboard to more advanced material and provide additional background. Whether used for self-study, or as the basis of an accelerated introductory class, this compact textbook provides a thorough grounding in computational physics and engineering.

Random Number Generators, Principles and Practices has been written for programmers, hardware engineers, and sophisticated hobbyists interested in understanding random numbers generators and gaining the tools necessary to work with random number generators with confidence and knowledge.

Using an approach that employs clear diagrams and running code examples rather than excessive mathematics, random number related topics such as entropy estimation, entropy extraction, entropy sources, PRNGs, randomness testing, distribution generation, and many others are exposed and demystified.

If you have ever

• Wondered how to test if data is really random
• Needed to measure the randomness of data in real time as it is generated
• Wondered how to get randomness into your programs
• Wondered whether or not a random number generator is trustworthy
• Wanted to be able to choose between random number generator solutions
• Needed to turn uniform random data into a different distribution
• Needed to ensure the random numbers from your computer will work for your cryptographic application
• Wanted to combine more than one random number generator to increase reliability or security
• Wanted to get random numbers in a floating point format
• Needed to verify that a random number generator meets the requirements of a published standard like SP800-90 or AIS 31
• Needed to choose between an LCG, PCG or XorShift algorithm

Then this might be the book for you.

***TRACING NUMBER: Preschoolers*Practice Writing*Workbook, KIDS AGES 3-5* is a good start to develop the handwriting skills of a child.**** *A child who learns to trace NUMBERS at home, at the early age, with their loving parent or caregiver, grows in self-confidence and independence. This promotes greater maturity, increases discipline and lays the basis for moral literacy. A child who begins with early learning books has a distinct advantage over his or her peers. One of the big advantages being there is no psychological pressure.* *Parents understand why early learning is important.In recent years, researchers have learned that the human brain develop the vast majority of its neurons, and is at it's receptive to learning, between birth and three years of age.And learning to trace numbers and letters at early age easily instill in a child's mind.***

In this book, there are six examples involving the concepts of surface area and volume of geometric solids to accurately determine correct dimensions. Three examples regarding three types of financial interest formulas are presented to illustrate the determination of appropriate dimensions. Section 2 presents twelve problems that illustrate the conversion from one unit of measurement (dimension) to another. All the problems in this section illustrate both the conversion of units of measurement and the numerical calculations. In other words, these twelve problems demonstrate a complete dimensional analysis solution. Do you realize the tremendous magnitude of the velocity of light? A complete dimensional analysis is provided here for the speed of light including the distance that light travels in one year. If you were asked to guess the weight of one million one-dollar bills, what estimate would you offer? You may be surprised by the correct answer Suppose you positioned a billion one-dollar bills end to end. What distance would be necessary to accomplish this event? Have you considered the dimensions of the heavenly kingdom as described by a designer, the sovereign God of all reality? If you counted slowly (one number per second), how long would it take you (with no interruptions) to count to a million? This is another example of our general ignorance regarding the relative magnitude of numbers. It is virtually a certainty that you will discover some thoughts or idea that will interest you among the numerous entries in Section 5.

This book is the third in a series dedicated to aerospace actuators. It uses the contributions of the first two volumes to conduct case studies on actuation for flight controls, landing gear and engines. The actuation systems are seen in several aspects: signal and power architectures, generation and distribution of hydraulic or mechanical power, control and reliability, and evolution towards more electrical systems.

The first three chapters are dedicated to the European commercial airplanes that marked their era: Caravelle, Concorde, Airbus A320 and Airbus A380. The final chapter deals with the flight controls of the Boeing V-22 and AgustaWestland AW609 tiltrotor aircraft. These address concerns that also apply to electromechanical actuators, which should be fitted on more electrical aircraft in the future.

The topics covered in this series of books constitute a significant source of information for individuals and engineers from a variety of disciplines, seeking to learn more about aerospace actuation systems and components.

This updated introduction to modern numerical analysis is a complete revision of a classic text originally written in Fortran but now featuring the programming language C++. It considers a relatively small number of basic concepts and techniques, focusing on how and why each method works. The authors offer careful consideration of error-analysis aspects related to the problems and algorithms.
The treatment also reviews and solidifies basic concepts from elementary calculus, emphasizing theory and proofs. It makes repeated use of the mean-value theorem, intermediate-value theorem, and Taylor's series. Many exercises appear throughout the text, most with solutions, and an extensive tutorial explains how to solve problems with C++.

Fixed-Point Algorithms for Inverse Problems in Science and Engineering presents some of the most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in several areas of mathematics and the applied sciences. The material presented provides a survey of the state-of-the-art theory and practice in fixed-point algorithms, identifying emerging problems driven by applications, and discussing new approaches for solving these problems.

This book incorporates diverse perspectives from broad-ranging areas of research including, variational analysis, numerical linear algebra, biotechnology, materials science, computational solid-state physics, and chemistry.

Topics presented include:

Theory of Fixed-point algorithms: convex analysis, convex optimization, subdifferential calculus, nonsmooth analysis, proximal point methods, projection methods, resolvent and related fixed-point theoretic methods, and monotone operator theory.

Numerical analysis of fixed-point algorithms: choice of step lengths, of weights, of blocks for block-iterative and parallel methods, and of relaxation parameters; regularization of ill-posed problems; numerical comparison of various methods.

Areas of Applications: engineering (image and signal reconstruction and decompression problems), computer tomography and radiation treatment planning (convex feasibility problems), astronomy (adaptive optics), crystallography (molecular structure reconstruction), computational chemistry (molecular structure simulation) and other areas.

Because of the variety of applications presented, this book can easily serve as a basis for new and innovated research and collaboration.