# Best books for applied mathematics

## Applied math does not have any agreed definition. Lord Rayleigh has given the best explanation of Applied math and as per his view, ‘ Applied mathematics is the procedure of using math to solve the real-world problems by neither seeking nor avoiding mathematical difficulties”.

The basic use of Applied mathematics includes the different fragments of scientific research, business, Computer Science, as well as Space Science. The basic style of Applied mathematics to work on the practical problems by formulating and studying mathematical models.

Applied mathematics includes traditional areas including Cryptography, Computational Mathematics, Science of Fluid Dynamics, Agronomy, the Study of Topology etc. No definite consensus exists regarding the term of ‘ Applied Mathematics’. For instance, a Biologist uses the population model for studying the field of Population Biology or determination of the Demographic Variations. The various models and calculations which define the different parameters of effective implementation regarding such subjects would have remained incomplete without the help of Applied Mathematics. Some universities

For instance, a Biologist uses the population model for studying the field of Population Biology or determination of the Demographic Variations. The various models and calculations which define the different parameters of effective implementation regarding such subjects would have remained incomplete without the help of Applied Mathematics.

Some universities in the UK have the facilities to study Applied Mathematics as a single subject. For instance, The Department of Applied Mathematics and Theoretical Physics at the University of Cambridge undertakes the study and analytical research regarding the utilisation of the Applied Mathematics. Scientists like Issac Newton, Charles Babbage, Stephen Hawking had worked as the professors.

The disciplines of Quantum Mechanix is one such field of study which requires the application of various theoretical models which are exemplified in the Applied Mathematics

Just like pure math, there are various subfields in applied mathematics, and it would be unreasonable if someone would add it in a single handbook.

Stargate’sNonlinearDynamics and Chaos is a worth reading book if somebody is interested in Applied math. The section topology is well-discussed in this book.

Another two books which are useful in imparting the knowledge and understanding regarding the subject under consideration are Methods of applied mathematics by Hildebrand’s and the Advanced calculus for applications. Both of the books are very much affordable by the sense of their applications. Geometrical methods of mathematical physics, Schutz Riemannian Geometry, Lee analysis for applied mathematics, Cheney dynamical systems are some of the books including applied mathematics information. Another segment of Applied Mathematics could be identified as Magneto-Hydrodynamics which is associated with the study of hyper heated plasma, including that of Thermite Plasma. Fusion energy is an example which could be highlighted as an integral part of the study of the Plasma dynamics properties and the entire study deals with the various aspects of ventilation of plasma flows and dynamic oscillation of the many heats exhibited parameters regarding the whole state of Plasma or hyper heated gases.

Mathematical modelling or Topological studies are all directly associated with the mainstream studies of Applied Mathematics. The study and development of an understanding of the Differential models of Calculus and other theoretical constructs associated with it can also be comprehended from an in-depth study of Applied Mathematics.

The combination of knowledge in terms of Mathematical and other scientific theoretical disciplines is always a significant approach concerning the utilisation of such scientific process in various specialised spheres such as those of structural engineering, metallurgy or Astrophysics.

### Applied Mathematics is always associated with the application of the specialised Mathematical formulas and theories in completely transforming or providing the most effective resolution to the existing scientific problems.

Here lies the fundamental difference between the disciplines of Applied Mathematics and Pure Mathematics. The discourse of Pure Mathematics is always associated with that of the knowledge and development of the understanding of only abstract forms of Mathematical theories. It does not associate itself with that of generation of the solutions for various problems and existing challenges in terms of study and research of various subjective fields. The provision of models and theories in the Applied Mathematics is closely associated with the rectification of such shortcomings in the field of Pure Mathematics.

The Mathematical models which the Applied Mathematical disciplines provide become instrumental for a researcher to utilise in their attempt of delineation of their studies most credible and properly.

From the Utilitarian perspective, the two most significant academic disciplines that have historically relied upon the provision of Mathematical models and theoretical constructs have been Structural Engineering and the Natural Sciences, especially those associated with Physics. With the progression of Science and Time, new spheres of academics such as those of the Statistics, Mathematical Economy and Econometrics have come to rely upon the theoretical and Mathematical models provided by the Applied branch of Mathematics.

The study fields, such as the Game Theory, the sectors related to the development of Information Technology and Computing and Data Processing, also rely considerably on the prospects and theoretical accuracy of Mathematical models provided by Applied Mathematics. Some significant disciplines are Theoretical Computer Science, the Statistical Analysis which deal with subject variables and Numerics and Digitised forms of Algebra.

In this regard, one of the fundamental books that could be focused upon to have a better perspective of Applied Mathematics has been the Introduction to the Foundation of Applied Mathematics, penned by Mark Holmes. Apart from this, the Differential Equations with Applications and Historical Notes peened by George Simmon. These two are some of the most efficacious books which provide the unique insights into the unchartered and less understood theoretical fields which constitute the basis of the Applied Mathematics and the utilisation of the same in various computational sciences, such as the discourses which have been developing in the early years of the 21st century, of which the process of Cloud Based Computing could be identified as a significant one.

The theoretical background which is necessitated by the application of Financial Mathematics requires the obtainment of a sound perception regarding the elemental constituents of the subject of Probability. The working knowledge of the abstract theoretical concepts can only lead one to so far as to have solved the simple problems which do not require any application of the three-dimensional theoretical models that could be only found in the Applied Mathematical traditions. The prospect of applying the theories provided by the financial disciplines of Applied Mathematics in terms of solving the Financial Mathematical problems could only be understood by having assistance from varied sources such as the book Introduction to Probability penned by Grinstead and Snell. This book could provide the appropriate insight which would be necessitated by every student and learner to ascertain the extent of necessary knowledge to determine the various theoretical facets which are provided under the auspices of Probability as a definite subject. Students of social sciences can learn and benefit from such books in the best of the formats.

Providing solutions to Mathematical problems such as those of Linear Algebra, which demands the utilisation of definite forms of models, could be the next form of academic exploration of Applied Mathematics. The book of Linear Algebra With Applications is one of the most effective academic pieces that can provide the necessary insights in this field.This book, authored by Gilbert Strang, provides the necessary range of models and applications that could be utilised by the researchers to outline the various analytical problems that are associated with such fields of applied studies such as Astrophysics and Geophysical science.

# 11 Apps for Key Stage 1 & 2 Maths

Mathematics is a subject which demands a lot of practice.  The increment of accuracy and proficiency in the subject of Mathematics ultimately depends upon the factors of consistent and continuous practice by the students, and with greater measure and intensity of practice, the associated accuracy also gets enhanced. As we all know practice makes things perfect,  Mathematics is also not an exception to it.

Though many of the students only believe that  Math is a subject with lots of rules and practices, still with the help of the  Mathematics learning apps it is only complete fun! Learning with fun can never be a burden for the students as such online applications contribute to making the learner feel free to learn the subject with contention.

Key stages of One and Two Maths include the basic Mathematical teaching strategies to practice the subject without any consternation. These key apps are implementable for the students who belong to the classes such as standard  One and Two. These particular applications are meant to bolster the capabilities of the students of such primary standards to have the necessary assistance through digital intervention and visual exposure, regarding learning the Mathematical intricacies for the first time in an appropriate and consummate manner. These Mathematical apps are based on the objective to make the students well versed about the national curriculum which allocated to the students belonging from the mentioned standard.

The sharing of information with the students and making them aware of such curriculum provide the initial stepping stone for the students on which they can progress further regarding the learning of Mathematics, and it also instills a sense of confidence among the students. Not only the students but also the teachers get benefited from the highly interactive Mathematical practices.

The reason behind such as supposition could be understood from the fact that even the teachers could come to recognise the availability of such applications as instruments of assistance which they suppose they have found as an outstanding way to engage their students regarding the importation of a lesson.

### The most familiar apps to the students as well as to the teachers are as the following:

Operation Math: It is an outstanding student engaging application which is helpful for the students, as well as they, provide the necessary measure of understanding to the students concerning the four basic operations that every Mathematical study necessitates.

Math operations include addition, subtraction, multiplication, and division. In this attractive and effective learning game students have a mission to obtain a predetermined level of success.

Dr. Odd is a character in this game and the students should help Dr. Odd by finalising a timed mission which includes three various levels.

Along with this, the game contains a training mode too by the help of which the students can practice the problems which are provided to them to enhance their skills. Both the Android and iOS versions are available for the game with a very lower amount of subscription charge.

This game based learning procedure of the application has become the prime example of a design of the interactive, comprehensive yet enjoyable learning process that could be provided to the student in a manner that could be acceptable and interesting for the early learners to undertake.

Division apps:  The application provides the hint of its utility as its name depicts.  The division application is a comprehensive guide for the students to understand the operation of the division of Mathematics. The basic functions which are associated with the division techniques, for example, divisions with reminders as well as long divisions with answers in the decimal values, are included as the functions of this application.

A wide variety of graphically attractive and interactive sessions included in the topic which makes the students capable of improving their numeric skills. The application is completely available for the students and their parents at Androids and iTunes.

Dragon box elements: It is the application that deals with the fundamentals, factors, theories, and shapes of Geometry along with the Geometric problems with the Euclidian proofs. By the help of this application, students can develop a deep understanding of the logic and the rules of which govern the subject of Geometry.

Squeebles Multiplication: This app enables the student to practice the multiplication tasks associated in any form of complication in six different modes. For instance, tricky tables, which enriched with the factual questions,  are helping to improve the skills of the learners.

Multiplication tables: These tables are some of the most useful instruments regarding the impartation of knowledge relating to the task of Multiplication which is considered to be one of the most critical tasks where the students and learners of early childhood become inept due to misconceptions and erroneous practices.

By nature, the children find such tasks related to Multiplication of large numbers to be cumbersome, detecting and difficult. In this respect the cartoonish appearances associated with such application are appreciated very much by the children and therefore could be perfectly applicable for the younger kids; however, this is also a fun app you can at least have a try.

10 monkey multiplications: This form of a game is an instrument in itself, but having a premium version. However, one can easily avail the features which are entirely accessible in this game with other features associated with this app which could seem to be enjoyable to the entire host of learners and are free by themselves.

Splash math third grade: It is a free app, which always provides the ideas about each concept associated with the subject of Mathematics. If you are not right according to your calculation, the apps will itself tell you the correct answer. This has a particular benefit which assists a child in determining the flaws and the capabilities that the comprehensive power of that specific child could have. The existence of the automated corrective process is the primary reason that parents would prefer this form of application for teaching their children about Mathematics.

Tic tac math: It is not a problem-solving approach; rather it is a process of learning through joy method which becomes of great fun to the learners. You have to pick the Mathematical operations you want to practice which depicted as accurate digits of numbers.

Math vs Zombies: In this application, you are saving a Zombie by solving various types of Mathematical problems. The calculative complications can include various operational aspects such as addition, subtraction, division, and multiplication.

Factor Samurai: This is an Android app which can be useful in solving the complications of the Mathematical challenge for a child who does not have any idea of the mathematical operations.

Pet bingo: It is a maths app with three levels of difficulty. You can choose several types of Mathematical operations strategies at the time of usage. Answers will appear on the bingo board. At the time of using you can become a fan of this cute app.

These are the few examples that the students, as well as their teachers and their parents, can follow. However, these are not all the options you can try; there are other options too. So be ready, and set your journey to explore math. Good luck!

# Tutoring becomes part of Rising Uberisation Culture

Uberisation is basically known as the application age or the advanced age where people are becoming advanced and using the applications for everything. This application culture is known as the uberisation culture. Uberisation, in other words, can be known as the ways in which the societies nowadays are adapting to the change by using the apps for different purposes. The primary cause of the rise in the uberisation culture is the increase in the advancement of technology. It had been estimated by the United Nations that around half of the entire world’s population would be using applications for most of the purposes and daily routines by the end of 2008. The United Nations also estimated that more than 60% of the population of developing world and more than 72% population of the developed world will be using the application on their smartphones by the end of 2050 which is almost equal to 3 billion people.

Modern parents and the children usually prefer the online studies and online technologies more than the face to face interaction with the tutors. Thus, it can be said that the uberisation culture is raising every day, and more people are taking up the advantage of the applications nowadays. Tutoring industry has taken a great advantage of this rising uberisation culture. It was very difficult for the tutoring industry to step forward for getting the success when people were not using the apps for tutoring. However, this problem has been solved as people are continuously getting into the applications for tutoring purpose. It is usually said that the people take a huge advantage from the tutoring industry to qualify their children. Hence, tutoring has become a part of the rising uberisation culture where the modern people mostly use the features of online tutoring technology. The most important thing about the mobile applications is that it allows the students to ask questions from anywhere in the world, and even they can ask through the snapshots.
It is not mostly realised by the people that every single person on the earth has some of the skills which may be valuable for the other people. Therefore, that person can be a tutor and teach the other people about his/her knowledge and the skills. Mostly people think that a person needs a degree and need to be perfect in the field. This fact limits the people to become tutors and share their knowledge. Hence, the sharing economy must be applied to the education to overcome this problem. The most important requirement of a sustainable economy is that supply and demand sides should be beneficial from a transaction. There is much inefficiency in the tutoring industries between the teachers and the students. Mostly the students think that they are paying more than enough for being taught. On the other hand, the teachers think that they are not getting paid enough. Thus, it can be said that a powerful supplement can be provided with the help of a knowledge marketplace. An example can be considered as; there is an online tutoring platform at Course Hero, which allows the students to ask questions and also allows the teacher to answer those questions. The tutors get paid for answering the questions, and the students pay for getting answers. Usually, it happens that the teachers do not get much time during the office hours to assist the students. This problem is solved by the online platforms that the tutors are made available for 24 hours a day and seven days a week.

The most important benefit of such online tutoring platforms is that the students can also negotiate the hourly rate of the tutors for every single interaction with the tutors. This makes sure that the tutors feel that they are getting paid according to their services, and even the students are paying what they want to pay. These online tutoring platforms help the tutors and the students not to feel that they are underpaid and overpaying respectively. Thus, the problem is solved with the help of online tutoring and also the sharing economy has been introduced in education through such platforms. Most importantly, it is just a single step process to apply the sharing economy model in education to make the resources more affordable and to make them available every time.
In simple words, the millennial people are the one who were born in the early 1980s and 2000s. The millennial people are also known as Generation Y, and they are abbreviated as Gen Y. The most common birth range of the millennial people is between the years 1982 and 2000. The millennial is known as Generation Y because they usually come after the people of Generation X (the people who were born in the early 1960s and the early 1980s). There are also some other names of the generation X people such as; Boomerang Generation or Peter Pan. These people are known with these different names because of the tendency of some of the people to recoil with their parents. The reason of this recoiling was possibly the growth in the propensity to stoppage of the adulthood rites of passage.
Education has nowadays become the most important part for the millennial and hence the tutoring industry has covered the millennial to provide tutors for the needy students. The online tutoring services have developed such techniques that provide the best services for the millennial at affordable prices and they also give the best outcomes for them. There are a lot of services available for different age groups in these tutoring platforms that help the millennial to understand in a better way. Also, these available services for the millennial lead them towards the right educational tracks as soon as they born. There were also services available for the starters which can also guide the parents even before the baby is born. These educational services for the millennial have helped them through the choices of schools and GSAT. There have been introduced a lot of tutoring services for the millennial that has the aim of preparing the students to successfully navigate the system. The tutoring services have implemented on the fact that no one in the world wants to be the one that cannot understand the schools, colleges, universities. Keeping in mind about this implementation, the tutoring platforms have grown a lot in kinds of best practices, tutors and study tips. The tutoring services that are made available for the millennial have mainly aimed to De-Mystify the growing process and being successful. Thus, it can be said that tutoring has become a significant part for the millennial and also is accepted by most of the millennial people.
People nowadays can do everything on demand such as; they can request for a private car or taxi on demand, they can stream television, they can also request or order for some food on demand. Thus, everything is in demand nowadays, and people have different tools for requesting anything on demand. The world has so grown up in terms of technology and education that now people can even demand a tutor by using different tools and different platforms. Tutors are also nowadays available for the students on demand for solving or answering their questions. There have been a number of applications introduced in the play store, Apple store and windows store that match the students and the private tutors with just a single mouse click. The students, who need help regarding some specific subjects, can directly communicate to the tutors who can readily solve their problems. Also, these tutors can assist those students with the best possible answers for their questions. The best thing about these online applications is that the students do not need to wait for a long time for being answered their questions. This is a quick process where the students are quickly answered their question by the tutors of their own choice.
Apart from this, there are also some of the features available within these online applications with the help of which the tutors can also choose to answer the question of the students, and they can get paid for the same. Thus, these applications are known as the on-demand applications because the students can get answers on demand and also the tutors can assist the students on demand. The concept of the on-demand tutoring is very simple which is beneficial for the students as well as the tutors. The students pay for getting the solutions to their problems, and the tutors get paid for answering them. The tutoring websites or the tutoring applications charge around 20 to 30 percent of the fees that students pay to the tutors. For example; if a student pays \$100 to a tutor for getting the solution, the tutoring application will charge \$20 and will pay \$80 to the teacher who provided a solution to the student. Thus, it brings benefits for all the students, the teachers as well as the host website or application.

# 5 Must have qualities of a Maths Tutor

There are some basic qualities that a maths tutor must have in order to improve their teaching. A good maths tutor must adapt adequate teaching style for teaching students of different levels like primary, GCSE, A-level, university, but most of the qualities could be applied to all the levels as well. Continue reading 5 Must have qualities of a Maths Tutor